TSTP Solution File: ITP278_1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP278_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n016.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 : Wed May 29 17:13:49 EDT 2024
% Result : Theorem 16.06s 16.25s
% Output : Proof 16.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 5.88/5.95 % Problem : ITP278_1 : TPTP v8.2.0. Released v8.0.0.
% 5.88/5.96 % Command : do_cvc5 %s %d
% 5.96/6.17 % Computer : n016.cluster.edu
% 5.96/6.17 % Model : x86_64 x86_64
% 5.96/6.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 5.96/6.17 % Memory : 8042.1875MB
% 5.96/6.17 % OS : Linux 3.10.0-693.el7.x86_64
% 5.96/6.17 % CPULimit : 300
% 5.96/6.17 % WCLimit : 300
% 5.96/6.17 % DateTime : Sun May 26 04:10:29 EDT 2024
% 5.96/6.17 % CPUTime :
% 13.35/13.56 %----Proving TF0_NAR, FOF, or CNF
% 16.06/16.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 16.06/16.25 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.nnHgE5m3rT/cvc5---1.0.5_5859.smt2
% 16.06/16.25 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.nnHgE5m3rT/cvc5---1.0.5_5859.smt2
% 16.06/16.25 (assume a0 (= tptp.summary2 tptp.summary))
% 16.06/16.25 (assume a1 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.mi) tptp.ma)))
% 16.06/16.25 (assume a2 (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))))
% 16.06/16.25 (assume a3 (= (tptp.vEBT_VEBT_set_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2)) (tptp.vEBT_VEBT_set_vebt tptp.sa)))
% 16.06/16.25 (assume a4 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.sa) tptp.deg)))
% 16.06/16.25 (assume a5 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT) (Y11 tptp.option4927543243414619207at_nat) (Y12 tptp.nat) (Y13 tptp.list_VEBT_VEBT) (Y14 tptp.vEBT_VEBT)) (= (= (tptp.vEBT_Node X11 X12 X13 X14) (tptp.vEBT_Node Y11 Y12 Y13 Y14)) (and (= X11 Y11) (= X12 Y12) (= X13 Y13) (= X14 Y14)))))
% 16.06/16.25 (assume a6 (forall ((X2 tptp.product_prod_nat_nat) (Y2 tptp.product_prod_nat_nat)) (= (= (tptp.some_P7363390416028606310at_nat X2) (tptp.some_P7363390416028606310at_nat Y2)) (= X2 Y2))))
% 16.06/16.25 (assume a7 (forall ((X2 tptp.nat) (Y2 tptp.nat)) (= (= (tptp.some_nat X2) (tptp.some_nat Y2)) (= X2 Y2))))
% 16.06/16.25 (assume a8 (forall ((X2 tptp.num) (Y2 tptp.num)) (= (= (tptp.some_num X2) (tptp.some_num Y2)) (= X2 Y2))))
% 16.06/16.25 (assume a9 (= tptp.treeList2 tptp.treeList))
% 16.06/16.25 (assume a10 (forall ((X1 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.set_Pr1261947904930325089at_nat) (Y1 tptp.set_Pr1261947904930325089at_nat) (Y2 tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.produc2922128104949294807at_nat X1 X2) (tptp.produc2922128104949294807at_nat Y1 Y2)) (and (= X1 Y1) (= X2 Y2)))))
% 16.06/16.25 (assume a11 (forall ((X1 tptp.num) (X2 tptp.num) (Y1 tptp.num) (Y2 tptp.num)) (= (= (tptp.product_Pair_num_num X1 X2) (tptp.product_Pair_num_num Y1 Y2)) (and (= X1 Y1) (= X2 Y2)))))
% 16.06/16.25 (assume a12 (forall ((X1 tptp.nat) (X2 tptp.num) (Y1 tptp.nat) (Y2 tptp.num)) (= (= (tptp.product_Pair_nat_num X1 X2) (tptp.product_Pair_nat_num Y1 Y2)) (and (= X1 Y1) (= X2 Y2)))))
% 16.06/16.25 (assume a13 (forall ((X1 tptp.nat) (X2 tptp.nat) (Y1 tptp.nat) (Y2 tptp.nat)) (= (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X1) X2) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Y1) Y2)) (and (= X1 Y1) (= X2 Y2)))))
% 16.06/16.25 (assume a14 (forall ((X1 tptp.int) (X2 tptp.int) (Y1 tptp.int) (Y2 tptp.int)) (= (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X1) X2) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Y1) Y2)) (and (= X1 Y1) (= X2 Y2)))))
% 16.06/16.25 (assume a15 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.produc2922128104949294807at_nat A B) (tptp.produc2922128104949294807at_nat A2 B2)) (and (= A A2) (= B B2)))))
% 16.06/16.25 (assume a16 (forall ((A tptp.num) (B tptp.num) (A2 tptp.num) (B2 tptp.num)) (= (= (tptp.product_Pair_num_num A B) (tptp.product_Pair_num_num A2 B2)) (and (= A A2) (= B B2)))))
% 16.06/16.25 (assume a17 (forall ((A tptp.nat) (B tptp.num) (A2 tptp.nat) (B2 tptp.num)) (= (= (tptp.product_Pair_nat_num A B) (tptp.product_Pair_nat_num A2 B2)) (and (= A A2) (= B B2)))))
% 16.06/16.25 (assume a18 (forall ((A tptp.nat) (B tptp.nat) (A2 tptp.nat) (B2 tptp.nat)) (= (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A2) B2)) (and (= A A2) (= B B2)))))
% 16.06/16.25 (assume a19 (forall ((A tptp.int) (B tptp.int) (A2 tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A2) B2)) (and (= A A2) (= B B2)))))
% 16.06/16.25 (assume a20 (=> (= tptp.mi tptp.ma) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList2))) (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X) X_1))))))))
% 16.06/16.25 (assume a21 (= (tptp.vEBT_VEBT_set_vebt tptp.summary2) (tptp.vEBT_VEBT_set_vebt tptp.summary)))
% 16.06/16.25 (assume a22 (forall ((X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member tptp.summary2) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member tptp.summary) X3)))))
% 16.06/16.25 (assume a23 (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.insert_nat tptp.mi (tptp.insert_nat tptp.ma tptp.bot_bot_set_nat))) (tptp.vEBT_VEBT_set_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2)))))
% 16.06/16.25 (assume a24 (forall ((X3 tptp.product_prod_nat_nat)) (not (forall ((K tptp.nat) (M tptp.nat)) (not (= X3 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat K) M)))))))
% 16.06/16.25 (assume a25 (forall ((Y tptp.produc3843707927480180839at_nat)) (not (forall ((A3 tptp.set_Pr1261947904930325089at_nat) (B3 tptp.set_Pr1261947904930325089at_nat)) (not (= Y (tptp.produc2922128104949294807at_nat A3 B3)))))))
% 16.06/16.25 (assume a26 (forall ((Y tptp.product_prod_num_num)) (not (forall ((A3 tptp.num) (B3 tptp.num)) (not (= Y (tptp.product_Pair_num_num A3 B3)))))))
% 16.06/16.25 (assume a27 (forall ((Y tptp.product_prod_nat_num)) (not (forall ((A3 tptp.nat) (B3 tptp.num)) (not (= Y (tptp.product_Pair_nat_num A3 B3)))))))
% 16.06/16.25 (assume a28 (forall ((Y tptp.product_prod_nat_nat)) (not (forall ((A3 tptp.nat) (B3 tptp.nat)) (not (= Y (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A3) B3)))))))
% 16.06/16.25 (assume a29 (forall ((Y tptp.product_prod_int_int)) (not (forall ((A3 tptp.int) (B3 tptp.int)) (not (= Y (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A3) B3)))))))
% 16.06/16.25 (assume a30 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node Info Deg TreeList Summary)) N)) (= Deg N))))
% 16.06/16.25 (assume a31 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X3))))))
% 16.06/16.25 (assume a32 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X3))))))
% 16.06/16.25 (assume a33 (forall ((Xs tptp.set_nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_max_in_set Xs) X3)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) Xs)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) X3))))))))
% 16.06/16.25 (assume a34 (forall ((Xs tptp.set_nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_min_in_set Xs) X3)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) Xs)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) X4))))))))
% 16.06/16.25 (assume a35 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_VEBT_insert T X3)) N)))))
% 16.06/16.25 (assume a36 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) Deg)) (=> (= Mi Ma) (and (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList))) (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X) X_1)))))) (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) X_1)))))))))
% 16.06/16.25 (assume a37 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_lesseq (tptp.some_nat X3)) (tptp.some_nat Y))))))
% 16.06/16.25 (assume a38 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary2) tptp.m)))
% 16.06/16.25 (assume a39 (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList2))) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) tptp.na)) (forall ((Xa tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Xa) tptp.na)) (=> (= (tptp.vEBT_VEBT_set_vebt X) (tptp.vEBT_VEBT_set_vebt Xa)) (= Xa X))))))))
% 16.06/16.25 (assume a40 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.vEBT_set_vebt T)))))))
% 16.06/16.25 (assume a41 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.vEBT_set_vebt T) (tptp.vEBT_VEBT_set_vebt T)))))
% 16.06/16.25 (assume a42 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (=> (= (tptp.produc2922128104949294807at_nat A B) (tptp.produc2922128104949294807at_nat A2 B2)) (not (=> (= A A2) (not (= B B2)))))))
% 16.06/16.25 (assume a43 (forall ((A tptp.num) (B tptp.num) (A2 tptp.num) (B2 tptp.num)) (=> (= (tptp.product_Pair_num_num A B) (tptp.product_Pair_num_num A2 B2)) (not (=> (= A A2) (not (= B B2)))))))
% 16.06/16.25 (assume a44 (forall ((A tptp.nat) (B tptp.num) (A2 tptp.nat) (B2 tptp.num)) (=> (= (tptp.product_Pair_nat_num A B) (tptp.product_Pair_nat_num A2 B2)) (not (=> (= A A2) (not (= B B2)))))))
% 16.06/16.25 (assume a45 (forall ((A tptp.nat) (B tptp.nat) (A2 tptp.nat) (B2 tptp.nat)) (=> (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A2) B2)) (not (=> (= A A2) (not (= B B2)))))))
% 16.06/16.25 (assume a46 (forall ((A tptp.int) (B tptp.int) (A2 tptp.int) (B2 tptp.int)) (=> (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A2) B2)) (not (=> (= A A2) (not (= B B2)))))))
% 16.06/16.25 (assume a47 (forall ((P tptp.fun_Pr1607443439640623155t_bool) (P2 tptp.produc3843707927480180839at_nat)) (=> (forall ((A3 tptp.set_Pr1261947904930325089at_nat) (B3 tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool P (tptp.produc2922128104949294807at_nat A3 B3)))) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool P P2)))))
% 16.06/16.25 (assume a48 (forall ((P tptp.fun_Pr6287530515171585797m_bool) (P2 tptp.product_prod_num_num)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (tptp.pp (tptp.aa_Pro762926636801165566m_bool P (tptp.product_Pair_num_num A3 B3)))) (tptp.pp (tptp.aa_Pro762926636801165566m_bool P P2)))))
% 16.06/16.25 (assume a49 (forall ((P tptp.fun_Pr1727971692872576719m_bool) (P2 tptp.product_prod_nat_num)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (tptp.pp (tptp.aa_Pro5426739851356932296m_bool P (tptp.product_Pair_nat_num A3 B3)))) (tptp.pp (tptp.aa_Pro5426739851356932296m_bool P P2)))))
% 16.06/16.25 (assume a50 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (P2 tptp.product_prod_nat_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A3) B3)))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P P2)))))
% 16.06/16.25 (assume a51 (forall ((P tptp.fun_Pr803113274115125473t_bool) (P2 tptp.product_prod_int_int)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool P (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A3) B3)))) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool P P2)))))
% 16.06/16.25 (assume a52 (forall ((P2 tptp.produc3843707927480180839at_nat)) (exists ((X5 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (= P2 (tptp.produc2922128104949294807at_nat X5 Y3)))))
% 16.06/16.25 (assume a53 (forall ((P2 tptp.product_prod_num_num)) (exists ((X5 tptp.num) (Y3 tptp.num)) (= P2 (tptp.product_Pair_num_num X5 Y3)))))
% 16.06/16.25 (assume a54 (forall ((P2 tptp.product_prod_nat_num)) (exists ((X5 tptp.nat) (Y3 tptp.num)) (= P2 (tptp.product_Pair_nat_num X5 Y3)))))
% 16.06/16.25 (assume a55 (forall ((P2 tptp.product_prod_nat_nat)) (exists ((X5 tptp.nat) (Y3 tptp.nat)) (= P2 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3)))))
% 16.06/16.25 (assume a56 (forall ((P2 tptp.product_prod_int_int)) (exists ((X5 tptp.int) (Y3 tptp.int)) (= P2 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X5) Y3)))))
% 16.06/16.25 (assume a57 (forall ((B tptp.produc3843707927480180839at_nat) (A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (= (tptp.insert9069300056098147895at_nat B tptp.bot_bo228742789529271731at_nat) (tptp.insert9069300056098147895at_nat A A4)) (and (= A B) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) (tptp.insert9069300056098147895at_nat B tptp.bot_bo228742789529271731at_nat)))))))
% 16.06/16.25 (assume a58 (forall ((B tptp.product_prod_nat_nat) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.insert8211810215607154385at_nat B tptp.bot_bo2099793752762293965at_nat) (tptp.insert8211810215607154385at_nat A A4)) (and (= A B) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) (tptp.insert8211810215607154385at_nat B tptp.bot_bo2099793752762293965at_nat)))))))
% 16.06/16.25 (assume a59 (forall ((B tptp.bool) (A tptp.bool) (A4 tptp.set_bool)) (= (= (tptp.insert_bool B tptp.bot_bot_set_bool) (tptp.insert_bool A A4)) (and (= (tptp.pp A) (tptp.pp B)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) (tptp.insert_bool B tptp.bot_bot_set_bool)))))))
% 16.06/16.25 (assume a60 (forall ((B tptp.int) (A tptp.int) (A4 tptp.set_int)) (= (= (tptp.insert_int B tptp.bot_bot_set_int) (tptp.insert_int A A4)) (and (= A B) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) (tptp.insert_int B tptp.bot_bot_set_int)))))))
% 16.06/16.25 (assume a61 (forall ((B tptp.nat) (A tptp.nat) (A4 tptp.set_nat)) (= (= (tptp.insert_nat B tptp.bot_bot_set_nat) (tptp.insert_nat A A4)) (and (= A B) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.insert_nat B tptp.bot_bot_set_nat)))))))
% 16.06/16.25 (assume a62 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B tptp.produc3843707927480180839at_nat)) (= (= (tptp.insert9069300056098147895at_nat A A4) (tptp.insert9069300056098147895at_nat B tptp.bot_bo228742789529271731at_nat)) (and (= A B) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) (tptp.insert9069300056098147895at_nat B tptp.bot_bo228742789529271731at_nat)))))))
% 16.06/16.25 (assume a63 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_nat_nat)) (= (= (tptp.insert8211810215607154385at_nat A A4) (tptp.insert8211810215607154385at_nat B tptp.bot_bo2099793752762293965at_nat)) (and (= A B) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) (tptp.insert8211810215607154385at_nat B tptp.bot_bo2099793752762293965at_nat)))))))
% 16.06/16.25 (assume a64 (forall ((A tptp.bool) (A4 tptp.set_bool) (B tptp.bool)) (= (= (tptp.insert_bool A A4) (tptp.insert_bool B tptp.bot_bot_set_bool)) (and (= (tptp.pp A) (tptp.pp B)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) (tptp.insert_bool B tptp.bot_bot_set_bool)))))))
% 16.06/16.25 (assume a65 (forall ((A tptp.int) (A4 tptp.set_int) (B tptp.int)) (= (= (tptp.insert_int A A4) (tptp.insert_int B tptp.bot_bot_set_int)) (and (= A B) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) (tptp.insert_int B tptp.bot_bot_set_int)))))))
% 16.06/16.25 (assume a66 (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.nat)) (= (= (tptp.insert_nat A A4) (tptp.insert_nat B tptp.bot_bot_set_nat)) (and (= A B) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.insert_nat B tptp.bot_bot_set_nat)))))))
% 16.06/16.25 (assume a67 (forall ((N tptp.nat)) (= (tptp.vEBT_VEBT_set_vebt (tptp.vEBT_vebt_buildup N)) tptp.bot_bot_set_nat)))
% 16.06/16.25 (assume a68 (forall ((A tptp.real) (P tptp.fun_real_bool)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.collect_real P))) (tptp.pp (tptp.aa_real_bool P A)))))
% 16.06/16.25 (assume a69 (forall ((A tptp.bool) (P tptp.fun_bool_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) (tptp.collect_bool P))) (tptp.pp (tptp.aa_bool_bool P A)))))
% 16.06/16.25 (assume a70 (forall ((A tptp.int) (P tptp.fun_int_bool)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.collect_int P))) (tptp.pp (tptp.aa_int_bool P A)))))
% 16.06/16.25 (assume a71 (forall ((A tptp.nat) (P tptp.fun_nat_bool)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.collect_nat P))) (tptp.pp (tptp.aa_nat_bool P A)))))
% 16.06/16.25 (assume a72 (forall ((A tptp.complex) (P tptp.fun_complex_bool)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) (tptp.collect_complex P))) (tptp.pp (tptp.aa_complex_bool P A)))))
% 16.06/16.25 (assume a73 (forall ((A tptp.product_prod_nat_nat) (P tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) (tptp.collec3392354462482085612at_nat P))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P A)))))
% 16.06/16.25 (assume a74 (forall ((A tptp.set_nat) (P tptp.fun_set_nat_bool)) (= (tptp.member_set_nat A (tptp.collect_set_nat P)) (tptp.pp (tptp.aa_set_nat_bool P A)))))
% 16.06/16.25 (assume a75 (forall ((A tptp.list_nat) (P tptp.fun_list_nat_bool)) (= (tptp.member_list_nat A (tptp.collect_list_nat P)) (tptp.pp (tptp.aa_list_nat_bool P A)))))
% 16.06/16.25 (assume a76 (forall ((A4 tptp.set_real)) (= (tptp.collect_real (tptp.aTP_Lamm_a A4)) A4)))
% 16.06/16.25 (assume a77 (forall ((A4 tptp.set_bool)) (= (tptp.collect_bool (tptp.aTP_Lamm_aa A4)) A4)))
% 16.06/16.25 (assume a78 (forall ((A4 tptp.set_int)) (= (tptp.collect_int (tptp.aTP_Lamm_ab A4)) A4)))
% 16.06/16.25 (assume a79 (forall ((A4 tptp.set_nat)) (= (tptp.collect_nat (tptp.aTP_Lamm_ac A4)) A4)))
% 16.06/16.25 (assume a80 (forall ((A4 tptp.set_complex)) (= (tptp.collect_complex (tptp.aTP_Lamm_ad A4)) A4)))
% 16.06/16.25 (assume a81 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.collec3392354462482085612at_nat (tptp.aTP_Lamm_ae A4)) A4)))
% 16.06/16.25 (assume a82 (forall ((A4 tptp.set_set_nat)) (= (tptp.collect_set_nat (tptp.aTP_Lamm_af A4)) A4)))
% 16.06/16.25 (assume a83 (forall ((A4 tptp.set_list_nat)) (= (tptp.collect_list_nat (tptp.aTP_Lamm_ag A4)) A4)))
% 16.06/16.25 (assume a84 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (=> (forall ((X5 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P X5)) (tptp.pp (tptp.aa_nat_bool Q X5)))) (= (tptp.collect_nat P) (tptp.collect_nat Q)))))
% 16.06/16.25 (assume a85 (forall ((P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (=> (forall ((X5 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool P X5)) (tptp.pp (tptp.aa_complex_bool Q X5)))) (= (tptp.collect_complex P) (tptp.collect_complex Q)))))
% 16.06/16.25 (assume a86 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (Q tptp.fun_Pr7757163693017731481t_bool)) (=> (forall ((X5 tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P X5)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Q X5)))) (= (tptp.collec3392354462482085612at_nat P) (tptp.collec3392354462482085612at_nat Q)))))
% 16.06/16.25 (assume a87 (forall ((P tptp.fun_set_nat_bool) (Q tptp.fun_set_nat_bool)) (=> (forall ((X5 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool P X5)) (tptp.pp (tptp.aa_set_nat_bool Q X5)))) (= (tptp.collect_set_nat P) (tptp.collect_set_nat Q)))))
% 16.06/16.25 (assume a88 (forall ((P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (=> (forall ((X5 tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool P X5)) (tptp.pp (tptp.aa_list_nat_bool Q X5)))) (= (tptp.collect_list_nat P) (tptp.collect_list_nat Q)))))
% 16.06/16.25 (assume a89 (forall ((X3 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.insert8211810215607154385at_nat X3 A4)) B4)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) B4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4))))))
% 16.06/16.25 (assume a90 (forall ((X3 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.insert9069300056098147895at_nat X3 A4)) B4)) (and (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) B4)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) B4))))))
% 16.06/16.25 (assume a91 (forall ((X3 tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.insert_complex X3 A4)) B4)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) B4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4))))))
% 16.06/16.25 (assume a92 (forall ((X3 tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.insert_real X3 A4)) B4)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) B4)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4))))))
% 16.06/16.25 (assume a93 (forall ((X3 tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool (tptp.insert_bool X3 A4)) B4)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) B4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4))))))
% 16.06/16.25 (assume a94 (forall ((X3 tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.insert_int X3 A4)) B4)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) B4)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4))))))
% 16.06/16.25 (assume a95 (forall ((X3 tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.insert_nat X3 A4)) B4)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4))))))
% 16.06/16.25 (assume a96 (forall ((A tptp.produc3843707927480180839at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.25 (assume a97 (forall ((A tptp.complex)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) (tptp.insert_complex A tptp.bot_bot_set_complex)))))
% 16.06/16.25 (assume a98 (forall ((A tptp.real)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.insert_real A tptp.bot_bot_set_real)))))
% 16.06/16.25 (assume a99 (forall ((A tptp.product_prod_nat_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.25 (assume a100 (forall ((A tptp.bool)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) (tptp.insert_bool A tptp.bot_bot_set_bool)))))
% 16.06/16.25 (assume a101 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.insert_nat A tptp.bot_bot_set_nat)))))
% 16.06/16.25 (assume a102 (forall ((A tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.insert_int A tptp.bot_bot_set_int)))))
% 16.06/16.25 (assume a103 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) tptp.bot_bo2099793752762293965at_nat)) (= A4 tptp.bot_bo2099793752762293965at_nat))))
% 16.06/16.25 (assume a104 (forall ((A4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) tptp.bot_bot_set_bool)) (= A4 tptp.bot_bot_set_bool))))
% 16.06/16.25 (assume a105 (forall ((A4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) tptp.bot_bot_set_int)) (= A4 tptp.bot_bot_set_int))))
% 16.06/16.25 (assume a106 (forall ((A4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) tptp.bot_bot_set_nat)) (= A4 tptp.bot_bot_set_nat))))
% 16.06/16.25 (assume a107 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat tptp.bot_bo2099793752762293965at_nat) A4))))
% 16.06/16.25 (assume a108 (forall ((A4 tptp.set_bool)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool tptp.bot_bot_set_bool) A4))))
% 16.06/16.25 (assume a109 (forall ((A4 tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int tptp.bot_bot_set_int) A4))))
% 16.06/16.25 (assume a110 (forall ((A4 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat tptp.bot_bot_set_nat) A4))))
% 16.06/16.25 (assume a111 (forall ((S tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt S) tptp.m)) (=> (= (tptp.vEBT_VEBT_set_vebt tptp.summary2) (tptp.vEBT_VEBT_set_vebt S)) (= S tptp.summary2)))))
% 16.06/16.25 (assume a112 (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.size_s6755466524823107622T_VEBT tptp.treeList2)))
% 16.06/16.25 (assume a113 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (X3 tptp.produc3843707927480180839at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat))) (or (= A4 tptp.bot_bo228742789529271731at_nat) (= A4 (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat))))))
% 16.06/16.25 (assume a114 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (X3 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat))) (or (= A4 tptp.bot_bo2099793752762293965at_nat) (= A4 (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat))))))
% 16.06/16.25 (assume a115 (forall ((A4 tptp.set_bool) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) (tptp.insert_bool X3 tptp.bot_bot_set_bool))) (or (= A4 tptp.bot_bot_set_bool) (= A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))))))
% 16.06/16.25 (assume a116 (forall ((A4 tptp.set_int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) (tptp.insert_int X3 tptp.bot_bot_set_int))) (or (= A4 tptp.bot_bot_set_int) (= A4 (tptp.insert_int X3 tptp.bot_bot_set_int))))))
% 16.06/16.25 (assume a117 (forall ((A4 tptp.set_nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.insert_nat X3 tptp.bot_bot_set_nat))) (or (= A4 tptp.bot_bot_set_nat) (= A4 (tptp.insert_nat X3 tptp.bot_bot_set_nat))))))
% 16.06/16.25 (assume a118 (forall ((X6 tptp.set_Pr4329608150637261639at_nat) (A tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X6) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))) (or (= X6 tptp.bot_bo228742789529271731at_nat) (= X6 (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))))))
% 16.06/16.25 (assume a119 (forall ((X6 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X6) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))) (or (= X6 tptp.bot_bo2099793752762293965at_nat) (= X6 (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))))))
% 16.06/16.25 (assume a120 (forall ((X6 tptp.set_bool) (A tptp.bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool X6) (tptp.insert_bool A tptp.bot_bot_set_bool))) (or (= X6 tptp.bot_bot_set_bool) (= X6 (tptp.insert_bool A tptp.bot_bot_set_bool))))))
% 16.06/16.25 (assume a121 (forall ((X6 tptp.set_int) (A tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X6) (tptp.insert_int A tptp.bot_bot_set_int))) (or (= X6 tptp.bot_bot_set_int) (= X6 (tptp.insert_int A tptp.bot_bot_set_int))))))
% 16.06/16.25 (assume a122 (forall ((X6 tptp.set_nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X6) (tptp.insert_nat A tptp.bot_bot_set_nat))) (or (= X6 tptp.bot_bot_set_nat) (= X6 (tptp.insert_nat A tptp.bot_bot_set_nat))))))
% 16.06/16.25 (assume a123 (forall ((P tptp.fun_complex_bool)) (= (= tptp.bot_bot_set_complex (tptp.collect_complex P)) (forall ((X4 tptp.complex)) (not (tptp.pp (tptp.aa_complex_bool P X4)))))))
% 16.06/16.25 (assume a124 (forall ((P tptp.fun_set_nat_bool)) (= (= tptp.bot_bot_set_set_nat (tptp.collect_set_nat P)) (forall ((X4 tptp.set_nat)) (not (tptp.pp (tptp.aa_set_nat_bool P X4)))))))
% 16.06/16.25 (assume a125 (forall ((P tptp.fun_list_nat_bool)) (= (= tptp.bot_bot_set_list_nat (tptp.collect_list_nat P)) (forall ((X4 tptp.list_nat)) (not (tptp.pp (tptp.aa_list_nat_bool P X4)))))))
% 16.06/16.25 (assume a126 (forall ((P tptp.fun_Pr7757163693017731481t_bool)) (= (= tptp.bot_bo2099793752762293965at_nat (tptp.collec3392354462482085612at_nat P)) (forall ((X4 tptp.product_prod_nat_nat)) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P X4)))))))
% 16.06/16.25 (assume a127 (forall ((P tptp.fun_bool_bool)) (= (= tptp.bot_bot_set_bool (tptp.collect_bool P)) (forall ((X4 tptp.bool)) (not (tptp.pp (tptp.aa_bool_bool P X4)))))))
% 16.06/16.25 (assume a128 (forall ((P tptp.fun_nat_bool)) (= (= tptp.bot_bot_set_nat (tptp.collect_nat P)) (forall ((X4 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool P X4)))))))
% 16.06/16.25 (assume a129 (forall ((P tptp.fun_int_bool)) (= (= tptp.bot_bot_set_int (tptp.collect_int P)) (forall ((X4 tptp.int)) (not (tptp.pp (tptp.aa_int_bool P X4)))))))
% 16.06/16.25 (assume a130 (forall ((P tptp.fun_complex_bool)) (= (= (tptp.collect_complex P) tptp.bot_bot_set_complex) (forall ((X4 tptp.complex)) (not (tptp.pp (tptp.aa_complex_bool P X4)))))))
% 16.06/16.25 (assume a131 (forall ((P tptp.fun_set_nat_bool)) (= (= (tptp.collect_set_nat P) tptp.bot_bot_set_set_nat) (forall ((X4 tptp.set_nat)) (not (tptp.pp (tptp.aa_set_nat_bool P X4)))))))
% 16.06/16.25 (assume a132 (forall ((P tptp.fun_list_nat_bool)) (= (= (tptp.collect_list_nat P) tptp.bot_bot_set_list_nat) (forall ((X4 tptp.list_nat)) (not (tptp.pp (tptp.aa_list_nat_bool P X4)))))))
% 16.06/16.25 (assume a133 (forall ((P tptp.fun_Pr7757163693017731481t_bool)) (= (= (tptp.collec3392354462482085612at_nat P) tptp.bot_bo2099793752762293965at_nat) (forall ((X4 tptp.product_prod_nat_nat)) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P X4)))))))
% 16.06/16.25 (assume a134 (forall ((P tptp.fun_bool_bool)) (= (= (tptp.collect_bool P) tptp.bot_bot_set_bool) (forall ((X4 tptp.bool)) (not (tptp.pp (tptp.aa_bool_bool P X4)))))))
% 16.06/16.25 (assume a135 (forall ((P tptp.fun_nat_bool)) (= (= (tptp.collect_nat P) tptp.bot_bot_set_nat) (forall ((X4 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool P X4)))))))
% 16.06/16.25 (assume a136 (forall ((P tptp.fun_int_bool)) (= (= (tptp.collect_int P) tptp.bot_bot_set_int) (forall ((X4 tptp.int)) (not (tptp.pp (tptp.aa_int_bool P X4)))))))
% 16.06/16.25 (assume a137 (forall ((A4 tptp.set_complex)) (= (forall ((X4 tptp.complex)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A4)))) (= A4 tptp.bot_bot_set_complex))))
% 16.06/16.25 (assume a138 (forall ((A4 tptp.set_real)) (= (forall ((X4 tptp.real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A4)))) (= A4 tptp.bot_bot_set_real))))
% 16.06/16.25 (assume a139 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (forall ((X4 tptp.product_prod_nat_nat)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) A4)))) (= A4 tptp.bot_bo2099793752762293965at_nat))))
% 16.06/16.25 (assume a140 (forall ((A4 tptp.set_bool)) (= (forall ((X4 tptp.bool)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X4) A4)))) (= A4 tptp.bot_bot_set_bool))))
% 16.06/16.25 (assume a141 (forall ((A4 tptp.set_nat)) (= (forall ((X4 tptp.nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A4)))) (= A4 tptp.bot_bot_set_nat))))
% 16.06/16.25 (assume a142 (forall ((A4 tptp.set_int)) (= (forall ((X4 tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A4)))) (= A4 tptp.bot_bot_set_int))))
% 16.06/16.25 (assume a143 (forall ((C tptp.complex)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) tptp.bot_bot_set_complex)))))
% 16.06/16.25 (assume a144 (forall ((C tptp.real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) tptp.bot_bot_set_real)))))
% 16.06/16.25 (assume a145 (forall ((C tptp.product_prod_nat_nat)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.25 (assume a146 (forall ((C tptp.bool)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) tptp.bot_bot_set_bool)))))
% 16.06/16.25 (assume a147 (forall ((C tptp.nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) tptp.bot_bot_set_nat)))))
% 16.06/16.25 (assume a148 (forall ((C tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) tptp.bot_bot_set_int)))))
% 16.06/16.25 (assume a149 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (= A4 B4)))))
% 16.06/16.25 (assume a150 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) B4)))) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)))))
% 16.06/16.25 (assume a151 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) B4)))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)))))
% 16.06/16.25 (assume a152 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) B4)))) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)))))
% 16.06/16.25 (assume a153 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) B4)))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)))))
% 16.06/16.25 (assume a154 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) B4)))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)))))
% 16.06/16.25 (assume a155 (forall ((X3 tptp.nat) (A4 tptp.set_nat)) (= (tptp.insert_nat X3 (tptp.insert_nat X3 A4)) (tptp.insert_nat X3 A4))))
% 16.06/16.25 (assume a156 (forall ((X3 tptp.int) (A4 tptp.set_int)) (= (tptp.insert_int X3 (tptp.insert_int X3 A4)) (tptp.insert_int X3 A4))))
% 16.06/16.25 (assume a157 (forall ((X3 tptp.bool) (A4 tptp.set_bool)) (= (tptp.insert_bool X3 (tptp.insert_bool X3 A4)) (tptp.insert_bool X3 A4))))
% 16.06/16.25 (assume a158 (forall ((X3 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.insert8211810215607154385at_nat X3 (tptp.insert8211810215607154385at_nat X3 A4)) (tptp.insert8211810215607154385at_nat X3 A4))))
% 16.06/16.25 (assume a159 (forall ((X3 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.insert9069300056098147895at_nat X3 (tptp.insert9069300056098147895at_nat X3 A4)) (tptp.insert9069300056098147895at_nat X3 A4))))
% 16.06/16.25 (assume a160 (forall ((A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) (tptp.insert8211810215607154385at_nat B A4))) (or (= A B) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4))))))
% 16.06/16.25 (assume a161 (forall ((A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) (tptp.insert9069300056098147895at_nat B A4))) (or (= A B) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) A4))))))
% 16.06/16.25 (assume a162 (forall ((A tptp.complex) (B tptp.complex) (A4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) (tptp.insert_complex B A4))) (or (= A B) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4))))))
% 16.06/16.25 (assume a163 (forall ((A tptp.real) (B tptp.real) (A4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.insert_real B A4))) (or (= A B) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4))))))
% 16.06/16.25 (assume a164 (forall ((A tptp.bool) (B tptp.bool) (A4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) (tptp.insert_bool B A4))) (or (= (tptp.pp A) (tptp.pp B)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4))))))
% 16.06/16.25 (assume a165 (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.insert_nat B A4))) (or (= A B) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4))))))
% 16.06/16.25 (assume a166 (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.insert_int B A4))) (or (= A B) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4))))))
% 16.06/16.25 (assume a167 (forall ((A tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_nat_nat)) (=> (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) B4))) (= A B)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) (tptp.insert8211810215607154385at_nat B B4))))))
% 16.06/16.25 (assume a168 (forall ((A tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (B tptp.produc3843707927480180839at_nat)) (=> (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) B4))) (= A B)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) (tptp.insert9069300056098147895at_nat B B4))))))
% 16.06/16.25 (assume a169 (forall ((A tptp.complex) (B4 tptp.set_complex) (B tptp.complex)) (=> (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) B4))) (= A B)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) (tptp.insert_complex B B4))))))
% 16.06/16.25 (assume a170 (forall ((A tptp.real) (B4 tptp.set_real) (B tptp.real)) (=> (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) B4))) (= A B)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.insert_real B B4))))))
% 16.06/16.25 (assume a171 (forall ((A tptp.bool) (B4 tptp.set_bool) (B tptp.bool)) (=> (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) B4))) (= (tptp.pp A) (tptp.pp B))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) (tptp.insert_bool B B4))))))
% 16.06/16.25 (assume a172 (forall ((A tptp.nat) (B4 tptp.set_nat) (B tptp.nat)) (=> (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) B4))) (= A B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.insert_nat B B4))))))
% 16.06/16.25 (assume a173 (forall ((A tptp.int) (B4 tptp.set_int) (B tptp.int)) (=> (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) B4))) (= A B)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.insert_int B B4))))))
% 16.06/16.25 (assume a174 (= tptp.m (tptp.aa_nat_nat tptp.suc tptp.na)))
% 16.06/16.25 (assume a175 (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)))
% 16.06/16.25 (assume a176 (forall ((A4 tptp.set_complex)) (= (exists ((X4 tptp.complex)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A4))) (not (= A4 tptp.bot_bot_set_complex)))))
% 16.06/16.25 (assume a177 (forall ((A4 tptp.set_real)) (= (exists ((X4 tptp.real)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A4))) (not (= A4 tptp.bot_bot_set_real)))))
% 16.06/16.25 (assume a178 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (exists ((X4 tptp.product_prod_nat_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) A4))) (not (= A4 tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.25 (assume a179 (forall ((A4 tptp.set_bool)) (= (exists ((X4 tptp.bool)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X4) A4))) (not (= A4 tptp.bot_bot_set_bool)))))
% 16.06/16.25 (assume a180 (forall ((A4 tptp.set_nat)) (= (exists ((X4 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A4))) (not (= A4 tptp.bot_bot_set_nat)))))
% 16.06/16.25 (assume a181 (forall ((A4 tptp.set_int)) (= (exists ((X4 tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A4))) (not (= A4 tptp.bot_bot_set_int)))))
% 16.06/16.25 (assume a182 (forall ((A4 tptp.set_complex)) (=> (forall ((Y3 tptp.complex)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y3) A4)))) (= A4 tptp.bot_bot_set_complex))))
% 16.06/16.25 (assume a183 (forall ((A4 tptp.set_real)) (=> (forall ((Y3 tptp.real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y3) A4)))) (= A4 tptp.bot_bot_set_real))))
% 16.06/16.25 (assume a184 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((Y3 tptp.product_prod_nat_nat)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Y3) A4)))) (= A4 tptp.bot_bo2099793752762293965at_nat))))
% 16.06/16.25 (assume a185 (forall ((A4 tptp.set_bool)) (=> (forall ((Y3 tptp.bool)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Y3) A4)))) (= A4 tptp.bot_bot_set_bool))))
% 16.06/16.25 (assume a186 (forall ((A4 tptp.set_nat)) (=> (forall ((Y3 tptp.nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y3) A4)))) (= A4 tptp.bot_bot_set_nat))))
% 16.06/16.25 (assume a187 (forall ((A4 tptp.set_int)) (=> (forall ((Y3 tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y3) A4)))) (= A4 tptp.bot_bot_set_int))))
% 16.06/16.25 (assume a188 (forall ((A4 tptp.set_complex) (A tptp.complex)) (=> (= A4 tptp.bot_bot_set_complex) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4))))))
% 16.06/16.25 (assume a189 (forall ((A4 tptp.set_real) (A tptp.real)) (=> (= A4 tptp.bot_bot_set_real) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4))))))
% 16.06/16.25 (assume a190 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_prod_nat_nat)) (=> (= A4 tptp.bot_bo2099793752762293965at_nat) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4))))))
% 16.06/16.25 (assume a191 (forall ((A4 tptp.set_bool) (A tptp.bool)) (=> (= A4 tptp.bot_bot_set_bool) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4))))))
% 16.06/16.25 (assume a192 (forall ((A4 tptp.set_nat) (A tptp.nat)) (=> (= A4 tptp.bot_bot_set_nat) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4))))))
% 16.06/16.25 (assume a193 (forall ((A4 tptp.set_int) (A tptp.int)) (=> (= A4 tptp.bot_bot_set_int) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4))))))
% 16.06/16.25 (assume a194 (forall ((A tptp.complex)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) tptp.bot_bot_set_complex)))))
% 16.06/16.25 (assume a195 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) tptp.bot_bot_set_real)))))
% 16.06/16.25 (assume a196 (forall ((A tptp.product_prod_nat_nat)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.25 (assume a197 (forall ((A tptp.bool)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) tptp.bot_bot_set_bool)))))
% 16.06/16.25 (assume a198 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) tptp.bot_bot_set_nat)))))
% 16.06/16.25 (assume a199 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) tptp.bot_bot_set_int)))))
% 16.06/16.25 (assume a200 (forall ((P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.collect_complex P)) (tptp.collect_complex Q))) (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool P X4)) (tptp.pp (tptp.aa_complex_bool Q X4)))))))
% 16.06/16.25 (assume a201 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (Q tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.collec3392354462482085612at_nat P)) (tptp.collec3392354462482085612at_nat Q))) (forall ((X4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P X4)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Q X4)))))))
% 16.06/16.25 (assume a202 (forall ((P tptp.fun_set_nat_bool) (Q tptp.fun_set_nat_bool)) (= (tptp.ord_le6893508408891458716et_nat (tptp.collect_set_nat P) (tptp.collect_set_nat Q)) (forall ((X4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool P X4)) (tptp.pp (tptp.aa_set_nat_bool Q X4)))))))
% 16.06/16.25 (assume a203 (forall ((P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (= (tptp.ord_le6045566169113846134st_nat (tptp.collect_list_nat P) (tptp.collect_list_nat Q)) (forall ((X4 tptp.list_nat)) (=> (tptp.pp (tptp.aa_list_nat_bool P X4)) (tptp.pp (tptp.aa_list_nat_bool Q X4)))))))
% 16.06/16.25 (assume a204 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.collect_nat P)) (tptp.collect_nat Q))) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool Q X4)))))))
% 16.06/16.25 (assume a205 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (= A4 B4) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4))))))
% 16.06/16.25 (assume a206 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) C2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) C2))))))
% 16.06/16.25 (assume a207 (forall ((P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool P X5)) (tptp.pp (tptp.aa_complex_bool Q X5)))) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.collect_complex P)) (tptp.collect_complex Q))))))
% 16.06/16.25 (assume a208 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (Q tptp.fun_Pr7757163693017731481t_bool)) (=> (forall ((X5 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P X5)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Q X5)))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.collec3392354462482085612at_nat P)) (tptp.collec3392354462482085612at_nat Q))))))
% 16.06/16.25 (assume a209 (forall ((P tptp.fun_set_nat_bool) (Q tptp.fun_set_nat_bool)) (=> (forall ((X5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool P X5)) (tptp.pp (tptp.aa_set_nat_bool Q X5)))) (tptp.ord_le6893508408891458716et_nat (tptp.collect_set_nat P) (tptp.collect_set_nat Q)))))
% 16.06/16.25 (assume a210 (forall ((P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (=> (forall ((X5 tptp.list_nat)) (=> (tptp.pp (tptp.aa_list_nat_bool P X5)) (tptp.pp (tptp.aa_list_nat_bool Q X5)))) (tptp.ord_le6045566169113846134st_nat (tptp.collect_list_nat P) (tptp.collect_list_nat Q)))))
% 16.06/16.25 (assume a211 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X5)) (tptp.pp (tptp.aa_nat_bool Q X5)))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.collect_nat P)) (tptp.collect_nat Q))))))
% 16.06/16.25 (assume a212 (forall ((A4 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) A4))))
% 16.06/16.25 (assume a213 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (forall ((T2 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex T2) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex T2) B4)))))))
% 16.06/16.25 (assume a214 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (forall ((T2 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real T2) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real T2) B4)))))))
% 16.06/16.25 (assume a215 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (forall ((T2 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool T2) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool T2) B4)))))))
% 16.06/16.25 (assume a216 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (forall ((T2 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int T2) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int T2) B4)))))))
% 16.06/16.25 (assume a217 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (forall ((T2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat T2) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat T2) B4)))))))
% 16.06/16.25 (assume a218 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (= A4 B4) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)))))
% 16.06/16.25 (assume a219 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (= A4 B4) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)))))
% 16.06/16.25 (assume a220 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) B4)))))))
% 16.06/16.25 (assume a221 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) B4)))))))
% 16.06/16.25 (assume a222 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (forall ((X4 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X4) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X4) B4)))))))
% 16.06/16.25 (assume a223 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) B4)))))))
% 16.06/16.25 (assume a224 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) B4)))))))
% 16.06/16.25 (assume a225 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (= A4 B4) (not (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4))))))))
% 16.06/16.25 (assume a226 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (C tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4))))))
% 16.06/16.25 (assume a227 (forall ((A4 tptp.set_real) (B4 tptp.set_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4))))))
% 16.06/16.25 (assume a228 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (C tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4))))))
% 16.06/16.25 (assume a229 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4))))))
% 16.06/16.25 (assume a230 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4))))))
% 16.06/16.25 (assume a231 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) B4))))))
% 16.06/16.25 (assume a232 (forall ((A4 tptp.set_real) (B4 tptp.set_real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) B4))))))
% 16.06/16.25 (assume a233 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) B4))))))
% 16.06/16.25 (assume a234 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) B4))))))
% 16.06/16.25 (assume a235 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) B4))))))
% 16.06/16.25 (assume a236 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4)) (exists ((B5 tptp.set_Pr1261947904930325089at_nat)) (and (= A4 (tptp.insert8211810215607154385at_nat A B5)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) B5))))))))
% 16.06/16.25 (assume a237 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) A4)) (exists ((B5 tptp.set_Pr4329608150637261639at_nat)) (and (= A4 (tptp.insert9069300056098147895at_nat A B5)) (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) B5))))))))
% 16.06/16.25 (assume a238 (forall ((A tptp.complex) (A4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4)) (exists ((B5 tptp.set_complex)) (and (= A4 (tptp.insert_complex A B5)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) B5))))))))
% 16.06/16.25 (assume a239 (forall ((A tptp.real) (A4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (exists ((B5 tptp.set_real)) (and (= A4 (tptp.insert_real A B5)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) B5))))))))
% 16.06/16.25 (assume a240 (forall ((A tptp.bool) (A4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4)) (exists ((B5 tptp.set_bool)) (and (= A4 (tptp.insert_bool A B5)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) B5))))))))
% 16.06/16.25 (assume a241 (forall ((A tptp.nat) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4)) (exists ((B5 tptp.set_nat)) (and (= A4 (tptp.insert_nat A B5)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) B5))))))))
% 16.06/16.25 (assume a242 (forall ((A tptp.int) (A4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4)) (exists ((B5 tptp.set_int)) (and (= A4 (tptp.insert_int A B5)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) B5))))))))
% 16.06/16.25 (assume a243 (forall ((X3 tptp.nat) (Y tptp.nat) (A4 tptp.set_nat)) (= (tptp.insert_nat X3 (tptp.insert_nat Y A4)) (tptp.insert_nat Y (tptp.insert_nat X3 A4)))))
% 16.06/16.25 (assume a244 (forall ((X3 tptp.int) (Y tptp.int) (A4 tptp.set_int)) (= (tptp.insert_int X3 (tptp.insert_int Y A4)) (tptp.insert_int Y (tptp.insert_int X3 A4)))))
% 16.06/16.25 (assume a245 (forall ((X3 tptp.bool) (Y tptp.bool) (A4 tptp.set_bool)) (= (tptp.insert_bool X3 (tptp.insert_bool Y A4)) (tptp.insert_bool Y (tptp.insert_bool X3 A4)))))
% 16.06/16.25 (assume a246 (forall ((X3 tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.insert8211810215607154385at_nat X3 (tptp.insert8211810215607154385at_nat Y A4)) (tptp.insert8211810215607154385at_nat Y (tptp.insert8211810215607154385at_nat X3 A4)))))
% 16.06/16.25 (assume a247 (forall ((X3 tptp.produc3843707927480180839at_nat) (Y tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.insert9069300056098147895at_nat X3 (tptp.insert9069300056098147895at_nat Y A4)) (tptp.insert9069300056098147895at_nat Y (tptp.insert9069300056098147895at_nat X3 A4)))))
% 16.06/16.25 (assume a248 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4))) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat B) B4))) (= (= (tptp.insert8211810215607154385at_nat A A4) (tptp.insert8211810215607154385at_nat B B4)) (and (=> (= A B) (= A4 B4)) (=> (not (= A B)) (exists ((C3 tptp.set_Pr1261947904930325089at_nat)) (and (= A4 (tptp.insert8211810215607154385at_nat B C3)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat B) C3))) (= B4 (tptp.insert8211810215607154385at_nat A C3)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) C3))))))))))))
% 16.06/16.25 (assume a249 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) A4))) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat B) B4))) (= (= (tptp.insert9069300056098147895at_nat A A4) (tptp.insert9069300056098147895at_nat B B4)) (and (=> (= A B) (= A4 B4)) (=> (not (= A B)) (exists ((C3 tptp.set_Pr4329608150637261639at_nat)) (and (= A4 (tptp.insert9069300056098147895at_nat B C3)) (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat B) C3))) (= B4 (tptp.insert9069300056098147895at_nat A C3)) (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) C3))))))))))))
% 16.06/16.25 (assume a250 (forall ((A tptp.complex) (A4 tptp.set_complex) (B tptp.complex) (B4 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B) B4))) (= (= (tptp.insert_complex A A4) (tptp.insert_complex B B4)) (and (=> (= A B) (= A4 B4)) (=> (not (= A B)) (exists ((C3 tptp.set_complex)) (and (= A4 (tptp.insert_complex B C3)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B) C3))) (= B4 (tptp.insert_complex A C3)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) C3))))))))))))
% 16.06/16.25 (assume a251 (forall ((A tptp.real) (A4 tptp.set_real) (B tptp.real) (B4 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) B4))) (= (= (tptp.insert_real A A4) (tptp.insert_real B B4)) (and (=> (= A B) (= A4 B4)) (=> (not (= A B)) (exists ((C3 tptp.set_real)) (and (= A4 (tptp.insert_real B C3)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) C3))) (= B4 (tptp.insert_real A C3)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) C3))))))))))))
% 16.06/16.25 (assume a252 (forall ((A tptp.bool) (A4 tptp.set_bool) (B tptp.bool) (B4 tptp.set_bool)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B) B4))) (= (= (tptp.insert_bool A A4) (tptp.insert_bool B B4)) (and (=> (= (tptp.pp A) (tptp.pp B)) (= A4 B4)) (=> (= (tptp.pp A) (not (tptp.pp B))) (exists ((C3 tptp.set_bool)) (and (= A4 (tptp.insert_bool B C3)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B) C3))) (= B4 (tptp.insert_bool A C3)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) C3))))))))))))
% 16.06/16.25 (assume a253 (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.nat) (B4 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B) B4))) (= (= (tptp.insert_nat A A4) (tptp.insert_nat B B4)) (and (=> (= A B) (= A4 B4)) (=> (not (= A B)) (exists ((C3 tptp.set_nat)) (and (= A4 (tptp.insert_nat B C3)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B) C3))) (= B4 (tptp.insert_nat A C3)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) C3))))))))))))
% 16.06/16.25 (assume a254 (forall ((A tptp.int) (A4 tptp.set_int) (B tptp.int) (B4 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) B4))) (= (= (tptp.insert_int A A4) (tptp.insert_int B B4)) (and (=> (= A B) (= A4 B4)) (=> (not (= A B)) (exists ((C3 tptp.set_int)) (and (= A4 (tptp.insert_int B C3)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) C3))) (= B4 (tptp.insert_int A C3)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) C3))))))))))))
% 16.06/16.25 (assume a255 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4)) (= (tptp.insert8211810215607154385at_nat A A4) A4))))
% 16.06/16.25 (assume a256 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) A4)) (= (tptp.insert9069300056098147895at_nat A A4) A4))))
% 16.06/16.25 (assume a257 (forall ((A tptp.complex) (A4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4)) (= (tptp.insert_complex A A4) A4))))
% 16.06/16.25 (assume a258 (forall ((A tptp.real) (A4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (= (tptp.insert_real A A4) A4))))
% 16.06/16.25 (assume a259 (forall ((A tptp.bool) (A4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4)) (= (tptp.insert_bool A A4) A4))))
% 16.06/16.25 (assume a260 (forall ((A tptp.nat) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4)) (= (tptp.insert_nat A A4) A4))))
% 16.06/16.25 (assume a261 (forall ((A tptp.int) (A4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4)) (= (tptp.insert_int A A4) A4))))
% 16.06/16.25 (assume a262 (forall ((X3 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) A4))) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) B4))) (= (= (tptp.insert8211810215607154385at_nat X3 A4) (tptp.insert8211810215607154385at_nat X3 B4)) (= A4 B4))))))
% 16.06/16.25 (assume a263 (forall ((X3 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) A4))) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) B4))) (= (= (tptp.insert9069300056098147895at_nat X3 A4) (tptp.insert9069300056098147895at_nat X3 B4)) (= A4 B4))))))
% 16.06/16.25 (assume a264 (forall ((X3 tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) B4))) (= (= (tptp.insert_complex X3 A4) (tptp.insert_complex X3 B4)) (= A4 B4))))))
% 16.06/16.25 (assume a265 (forall ((X3 tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) B4))) (= (= (tptp.insert_real X3 A4) (tptp.insert_real X3 B4)) (= A4 B4))))))
% 16.06/16.25 (assume a266 (forall ((X3 tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) B4))) (= (= (tptp.insert_bool X3 A4) (tptp.insert_bool X3 B4)) (= A4 B4))))))
% 16.06/16.25 (assume a267 (forall ((X3 tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) B4))) (= (= (tptp.insert_nat X3 A4) (tptp.insert_nat X3 B4)) (= A4 B4))))))
% 16.06/16.25 (assume a268 (forall ((X3 tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) B4))) (= (= (tptp.insert_int X3 A4) (tptp.insert_int X3 B4)) (= A4 B4))))))
% 16.06/16.25 (assume a269 (forall ((X3 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) A4)) (not (forall ((B5 tptp.set_Pr1261947904930325089at_nat)) (=> (= A4 (tptp.insert8211810215607154385at_nat X3 B5)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) B5))))))))
% 16.06/16.25 (assume a270 (forall ((X3 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) A4)) (not (forall ((B5 tptp.set_Pr4329608150637261639at_nat)) (=> (= A4 (tptp.insert9069300056098147895at_nat X3 B5)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) B5))))))))
% 16.06/16.25 (assume a271 (forall ((X3 tptp.complex) (A4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (not (forall ((B5 tptp.set_complex)) (=> (= A4 (tptp.insert_complex X3 B5)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) B5))))))))
% 16.06/16.25 (assume a272 (forall ((X3 tptp.real) (A4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (not (forall ((B5 tptp.set_real)) (=> (= A4 (tptp.insert_real X3 B5)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) B5))))))))
% 16.06/16.25 (assume a273 (forall ((X3 tptp.bool) (A4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (not (forall ((B5 tptp.set_bool)) (=> (= A4 (tptp.insert_bool X3 B5)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) B5))))))))
% 16.06/16.25 (assume a274 (forall ((X3 tptp.nat) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4)) (not (forall ((B5 tptp.set_nat)) (=> (= A4 (tptp.insert_nat X3 B5)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) B5))))))))
% 16.06/16.25 (assume a275 (forall ((X3 tptp.int) (A4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)) (not (forall ((B5 tptp.set_int)) (=> (= A4 (tptp.insert_int X3 B5)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) B5))))))))
% 16.06/16.25 (assume a276 (forall ((A tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) B4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) (tptp.insert8211810215607154385at_nat B B4))))))
% 16.06/16.25 (assume a277 (forall ((A tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (B tptp.produc3843707927480180839at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) B4)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) (tptp.insert9069300056098147895at_nat B B4))))))
% 16.06/16.25 (assume a278 (forall ((A tptp.complex) (B4 tptp.set_complex) (B tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) B4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) (tptp.insert_complex B B4))))))
% 16.06/16.25 (assume a279 (forall ((A tptp.real) (B4 tptp.set_real) (B tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) B4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.insert_real B B4))))))
% 16.06/16.25 (assume a280 (forall ((A tptp.bool) (B4 tptp.set_bool) (B tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) B4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) (tptp.insert_bool B B4))))))
% 16.06/16.25 (assume a281 (forall ((A tptp.nat) (B4 tptp.set_nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.insert_nat B B4))))))
% 16.06/16.25 (assume a282 (forall ((A tptp.int) (B4 tptp.set_int) (B tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) B4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.insert_int B B4))))))
% 16.06/16.25 (assume a283 (forall ((A tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) (tptp.insert8211810215607154385at_nat A B4)))))
% 16.06/16.25 (assume a284 (forall ((A tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) (tptp.insert9069300056098147895at_nat A B4)))))
% 16.06/16.25 (assume a285 (forall ((A tptp.complex) (B4 tptp.set_complex)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) (tptp.insert_complex A B4)))))
% 16.06/16.25 (assume a286 (forall ((A tptp.real) (B4 tptp.set_real)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.insert_real A B4)))))
% 16.06/16.25 (assume a287 (forall ((A tptp.bool) (B4 tptp.set_bool)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) (tptp.insert_bool A B4)))))
% 16.06/16.25 (assume a288 (forall ((A tptp.nat) (B4 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.insert_nat A B4)))))
% 16.06/16.25 (assume a289 (forall ((A tptp.int) (B4 tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.insert_int A B4)))))
% 16.06/16.25 (assume a290 (forall ((A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) (tptp.insert8211810215607154385at_nat B A4))) (=> (not (= A B)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4))))))
% 16.06/16.25 (assume a291 (forall ((A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) (tptp.insert9069300056098147895at_nat B A4))) (=> (not (= A B)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) A4))))))
% 16.06/16.25 (assume a292 (forall ((A tptp.complex) (B tptp.complex) (A4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) (tptp.insert_complex B A4))) (=> (not (= A B)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4))))))
% 16.06/16.25 (assume a293 (forall ((A tptp.real) (B tptp.real) (A4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) (tptp.insert_real B A4))) (=> (not (= A B)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4))))))
% 16.06/16.25 (assume a294 (forall ((A tptp.bool) (B tptp.bool) (A4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) (tptp.insert_bool B A4))) (=> (= (tptp.pp A) (not (tptp.pp B))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4))))))
% 16.06/16.25 (assume a295 (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) (tptp.insert_nat B A4))) (=> (not (= A B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4))))))
% 16.06/16.25 (assume a296 (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) (tptp.insert_int B A4))) (=> (not (= A B)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4))))))
% 16.06/16.25 (assume a297 (forall ((A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat)) (=> (= (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat) (tptp.insert9069300056098147895at_nat B tptp.bot_bo228742789529271731at_nat)) (= A B))))
% 16.06/16.25 (assume a298 (forall ((A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (=> (= (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat) (tptp.insert8211810215607154385at_nat B tptp.bot_bo2099793752762293965at_nat)) (= A B))))
% 16.06/16.25 (assume a299 (forall ((A tptp.bool) (B tptp.bool)) (=> (= (tptp.insert_bool A tptp.bot_bot_set_bool) (tptp.insert_bool B tptp.bot_bot_set_bool)) (= (tptp.pp A) (tptp.pp B)))))
% 16.06/16.25 (assume a300 (forall ((A tptp.nat) (B tptp.nat)) (=> (= (tptp.insert_nat A tptp.bot_bot_set_nat) (tptp.insert_nat B tptp.bot_bot_set_nat)) (= A B))))
% 16.06/16.25 (assume a301 (forall ((A tptp.int) (B tptp.int)) (=> (= (tptp.insert_int A tptp.bot_bot_set_int) (tptp.insert_int B tptp.bot_bot_set_int)) (= A B))))
% 16.06/16.25 (assume a302 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (not (= (tptp.insert9069300056098147895at_nat A A4) tptp.bot_bo228742789529271731at_nat))))
% 16.06/16.25 (assume a303 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (not (= (tptp.insert8211810215607154385at_nat A A4) tptp.bot_bo2099793752762293965at_nat))))
% 16.06/16.25 (assume a304 (forall ((A tptp.bool) (A4 tptp.set_bool)) (not (= (tptp.insert_bool A A4) tptp.bot_bot_set_bool))))
% 16.06/16.25 (assume a305 (forall ((A tptp.nat) (A4 tptp.set_nat)) (not (= (tptp.insert_nat A A4) tptp.bot_bot_set_nat))))
% 16.06/16.25 (assume a306 (forall ((A tptp.int) (A4 tptp.set_int)) (not (= (tptp.insert_int A A4) tptp.bot_bot_set_int))))
% 16.06/16.25 (assume a307 (forall ((A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat) (C tptp.produc3843707927480180839at_nat) (D tptp.produc3843707927480180839at_nat)) (= (= (tptp.insert9069300056098147895at_nat A (tptp.insert9069300056098147895at_nat B tptp.bot_bo228742789529271731at_nat)) (tptp.insert9069300056098147895at_nat C (tptp.insert9069300056098147895at_nat D tptp.bot_bo228742789529271731at_nat))) (or (and (= A C) (= B D)) (and (= A D) (= B C))))))
% 16.06/16.25 (assume a308 (forall ((A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat) (C tptp.product_prod_nat_nat) (D tptp.product_prod_nat_nat)) (= (= (tptp.insert8211810215607154385at_nat A (tptp.insert8211810215607154385at_nat B tptp.bot_bo2099793752762293965at_nat)) (tptp.insert8211810215607154385at_nat C (tptp.insert8211810215607154385at_nat D tptp.bot_bo2099793752762293965at_nat))) (or (and (= A C) (= B D)) (and (= A D) (= B C))))))
% 16.06/16.25 (assume a309 (forall ((A tptp.bool) (B tptp.bool) (C tptp.bool) (D tptp.bool)) (= (= (tptp.insert_bool A (tptp.insert_bool B tptp.bot_bot_set_bool)) (tptp.insert_bool C (tptp.insert_bool D tptp.bot_bot_set_bool))) (or (and (= (tptp.pp A) (tptp.pp C)) (= (tptp.pp B) (tptp.pp D))) (and (= (tptp.pp A) (tptp.pp D)) (= (tptp.pp B) (tptp.pp C)))))))
% 16.06/16.25 (assume a310 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (= (tptp.insert_nat A (tptp.insert_nat B tptp.bot_bot_set_nat)) (tptp.insert_nat C (tptp.insert_nat D tptp.bot_bot_set_nat))) (or (and (= A C) (= B D)) (and (= A D) (= B C))))))
% 16.06/16.25 (assume a311 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (= (= (tptp.insert_int A (tptp.insert_int B tptp.bot_bot_set_int)) (tptp.insert_int C (tptp.insert_int D tptp.bot_bot_set_int))) (or (and (= A C) (= B D)) (and (= A D) (= B C))))))
% 16.06/16.25 (assume a312 (forall ((B tptp.produc3843707927480180839at_nat) (A tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat B) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))) (= B A))))
% 16.06/16.25 (assume a313 (forall ((B tptp.complex) (A tptp.complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B) (tptp.insert_complex A tptp.bot_bot_set_complex))) (= B A))))
% 16.06/16.25 (assume a314 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) (tptp.insert_real A tptp.bot_bot_set_real))) (= B A))))
% 16.06/16.25 (assume a315 (forall ((B tptp.product_prod_nat_nat) (A tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat B) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))) (= B A))))
% 16.06/16.25 (assume a316 (forall ((B tptp.bool) (A tptp.bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B) (tptp.insert_bool A tptp.bot_bot_set_bool))) (= (tptp.pp B) (tptp.pp A)))))
% 16.06/16.25 (assume a317 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B) (tptp.insert_nat A tptp.bot_bot_set_nat))) (= B A))))
% 16.06/16.25 (assume a318 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) (tptp.insert_int A tptp.bot_bot_set_int))) (= B A))))
% 16.06/16.25 (assume a319 (forall ((B tptp.produc3843707927480180839at_nat) (A tptp.produc3843707927480180839at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat B) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))) (= B A))))
% 16.06/16.25 (assume a320 (forall ((B tptp.complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B) (tptp.insert_complex A tptp.bot_bot_set_complex))) (= B A))))
% 16.06/16.25 (assume a321 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) (tptp.insert_real A tptp.bot_bot_set_real))) (= B A))))
% 16.06/16.25 (assume a322 (forall ((B tptp.product_prod_nat_nat) (A tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat B) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))) (= B A))))
% 16.06/16.25 (assume a323 (forall ((B tptp.bool) (A tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B) (tptp.insert_bool A tptp.bot_bot_set_bool))) (= (tptp.pp B) (tptp.pp A)))))
% 16.06/16.25 (assume a324 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B) (tptp.insert_nat A tptp.bot_bot_set_nat))) (= B A))))
% 16.06/16.25 (assume a325 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) (tptp.insert_int A tptp.bot_bot_set_int))) (= B A))))
% 16.06/16.25 (assume a326 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (B tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) (tptp.insert_int B B4))))))
% 16.06/16.25 (assume a327 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (B tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) (tptp.insert_bool B B4))))))
% 16.06/16.25 (assume a328 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) (tptp.insert8211810215607154385at_nat B B4))))))
% 16.06/16.25 (assume a329 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (B tptp.produc3843707927480180839at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) B4)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) (tptp.insert9069300056098147895at_nat B B4))))))
% 16.06/16.25 (assume a330 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.insert_nat B B4))))))
% 16.06/16.25 (assume a331 (forall ((B4 tptp.set_int) (A tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B4) (tptp.insert_int A B4)))))
% 16.06/16.25 (assume a332 (forall ((B4 tptp.set_bool) (A tptp.bool)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) (tptp.insert_bool A B4)))))
% 16.06/16.25 (assume a333 (forall ((B4 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_prod_nat_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat B4) (tptp.insert8211810215607154385at_nat A B4)))))
% 16.06/16.25 (assume a334 (forall ((B4 tptp.set_Pr4329608150637261639at_nat) (A tptp.produc3843707927480180839at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B4) (tptp.insert9069300056098147895at_nat A B4)))))
% 16.06/16.25 (assume a335 (forall ((B4 tptp.set_nat) (A tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) (tptp.insert_nat A B4)))))
% 16.06/16.25 (assume a336 (forall ((X3 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) A4))) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) (tptp.insert8211810215607154385at_nat X3 B4))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4))))))
% 16.06/16.25 (assume a337 (forall ((X3 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) A4))) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) (tptp.insert9069300056098147895at_nat X3 B4))) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) B4))))))
% 16.06/16.25 (assume a338 (forall ((X3 tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) (tptp.insert_complex X3 B4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4))))))
% 16.06/16.25 (assume a339 (forall ((X3 tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) (tptp.insert_real X3 B4))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4))))))
% 16.06/16.25 (assume a340 (forall ((X3 tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) (tptp.insert_bool X3 B4))) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4))))))
% 16.06/16.25 (assume a341 (forall ((X3 tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) (tptp.insert_int X3 B4))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4))))))
% 16.06/16.25 (assume a342 (forall ((X3 tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4))) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.insert_nat X3 B4))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4))))))
% 16.06/16.25 (assume a343 (forall ((C2 tptp.set_int) (D2 tptp.set_int) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int C2) D2)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.insert_int A C2)) (tptp.insert_int A D2))))))
% 16.06/16.25 (assume a344 (forall ((C2 tptp.set_bool) (D2 tptp.set_bool) (A tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool C2) D2)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool (tptp.insert_bool A C2)) (tptp.insert_bool A D2))))))
% 16.06/16.25 (assume a345 (forall ((C2 tptp.set_Pr1261947904930325089at_nat) (D2 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat C2) D2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.insert8211810215607154385at_nat A C2)) (tptp.insert8211810215607154385at_nat A D2))))))
% 16.06/16.25 (assume a346 (forall ((C2 tptp.set_Pr4329608150637261639at_nat) (D2 tptp.set_Pr4329608150637261639at_nat) (A tptp.produc3843707927480180839at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat C2) D2)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.insert9069300056098147895at_nat A C2)) (tptp.insert9069300056098147895at_nat A D2))))))
% 16.06/16.25 (assume a347 (forall ((C2 tptp.set_nat) (D2 tptp.set_nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C2) D2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.insert_nat A C2)) (tptp.insert_nat A D2))))))
% 16.06/16.25 (assume a348 (forall ((N tptp.nat) (X3 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.vEBT_vebt_buildup N)) X3)))))
% 16.06/16.25 (assume a349 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_max_in_set (tptp.vEBT_VEBT_set_vebt T)) X3)) (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat X3))))))
% 16.06/16.25 (assume a350 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat X3)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_max_in_set (tptp.vEBT_VEBT_set_vebt T)) X3))))))
% 16.06/16.25 (assume a351 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_min_in_set (tptp.vEBT_VEBT_set_vebt T)) X3)) (= (tptp.vEBT_vebt_mint T) (tptp.some_nat X3))))))
% 16.06/16.25 (assume a352 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_mint T) (tptp.some_nat X3)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_min_in_set (tptp.vEBT_VEBT_set_vebt T)) X3))))))
% 16.06/16.25 (assume a353 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (Maxi tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat Maxi)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Maxi)))))))
% 16.06/16.25 (assume a354 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (Mini tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_mint T) (tptp.some_nat Mini)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mini) X3)))))))
% 16.06/16.25 (assume a355 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (Maxi tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat Maxi)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Maxi))))))
% 16.06/16.25 (assume a356 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (Maxi tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_mint T) (tptp.some_nat Maxi)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Maxi))))))
% 16.06/16.25 (assume a357 (forall ((X3 tptp.produc3843707927480180839at_nat)) (= (tptp.the_el221668144340439132at_nat (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat)) X3)))
% 16.06/16.25 (assume a358 (forall ((X3 tptp.product_prod_nat_nat)) (= (tptp.the_el2281957884133575798at_nat (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat)) X3)))
% 16.06/16.25 (assume a359 (forall ((X3 tptp.bool)) (= (tptp.pp (tptp.aa_set_bool_bool tptp.the_elem_bool (tptp.insert_bool X3 tptp.bot_bot_set_bool))) (tptp.pp X3))))
% 16.06/16.25 (assume a360 (forall ((X3 tptp.nat)) (= (tptp.aa_set_nat_nat tptp.the_elem_nat (tptp.insert_nat X3 tptp.bot_bot_set_nat)) X3)))
% 16.06/16.25 (assume a361 (forall ((X3 tptp.int)) (= (tptp.the_elem_int (tptp.insert_int X3 tptp.bot_bot_set_int)) X3)))
% 16.06/16.25 (assume a362 (forall ((A tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) A))))
% 16.06/16.25 (assume a363 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) A))))
% 16.06/16.25 (assume a364 (forall ((A tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) A))))
% 16.06/16.25 (assume a365 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) A))))
% 16.06/16.25 (assume a366 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) A))))
% 16.06/16.25 (assume a367 (forall ((X3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (not (= X3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) N2)))) (not (forall ((N2 tptp.nat)) (not (= X3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) (tptp.aa_nat_nat tptp.suc N2)))))))))
% 16.06/16.25 (assume a368 (forall ((Tree tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Tree) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))) (exists ((Info2 tptp.option4927543243414619207at_nat) (TreeList2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (= Tree (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)) TreeList2 S2))))))
% 16.06/16.25 (assume a369 (forall ((T tptp.vEBT_VEBT) (X3 tptp.nat)) (=> (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X3)))))
% 16.06/16.25 (assume a370 (forall ((T tptp.vEBT_VEBT) (H tptp.nat) (K2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) H)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt K2) H)) (=> (= (tptp.vEBT_VEBT_set_vebt T) (tptp.vEBT_VEBT_set_vebt K2)) (= (tptp.vEBT_vebt_mint T) (tptp.vEBT_vebt_mint K2)))))))
% 16.06/16.25 (assume a371 (forall ((T tptp.vEBT_VEBT) (H tptp.nat) (K2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) H)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt K2) H)) (=> (= (tptp.vEBT_VEBT_set_vebt T) (tptp.vEBT_VEBT_set_vebt K2)) (= (tptp.vEBT_vebt_maxt T) (tptp.vEBT_vebt_maxt K2)))))))
% 16.06/16.25 (assume a372 (forall ((X3 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) X3))))
% 16.06/16.25 (assume a373 (forall ((X3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) X3))))
% 16.06/16.25 (assume a374 (forall ((X3 tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) X3))))
% 16.06/16.25 (assume a375 (forall ((X3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) X3))))
% 16.06/16.25 (assume a376 (forall ((X3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) X3))))
% 16.06/16.25 (assume a377 (= tptp.bot_bot_set_complex (tptp.collect_complex tptp.bot_bo8490223647127498926x_bool)))
% 16.06/16.25 (assume a378 (= tptp.bot_bot_set_set_nat (tptp.collect_set_nat tptp.bot_bo8343409700046576086t_bool)))
% 16.06/16.25 (assume a379 (= tptp.bot_bot_set_list_nat (tptp.collect_list_nat tptp.bot_bo6469247547558333820t_bool)))
% 16.06/16.25 (assume a380 (= tptp.bot_bo2099793752762293965at_nat (tptp.collec3392354462482085612at_nat tptp.bot_bo3782518310583830573t_bool)))
% 16.06/16.25 (assume a381 (= tptp.bot_bot_set_bool (tptp.collect_bool tptp.bot_bo4756488196683355415l_bool)))
% 16.06/16.25 (assume a382 (= tptp.bot_bot_set_nat (tptp.collect_nat tptp.bot_bot_fun_nat_bool)))
% 16.06/16.25 (assume a383 (= tptp.bot_bot_set_int (tptp.collect_int tptp.bot_bot_fun_int_bool)))
% 16.06/16.25 (assume a384 (forall ((A tptp.rat) (B tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (not (= B A))))))
% 16.06/16.25 (assume a385 (forall ((A tptp.num) (B tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (not (= B A))))))
% 16.06/16.25 (assume a386 (forall ((A tptp.nat) (B tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (not (= B A))))))
% 16.06/16.25 (assume a387 (forall ((A tptp.int) (B tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (not (= B A))))))
% 16.06/16.25 (assume a388 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)))) (=> (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Z)))) (=> (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Z)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) Y)))) (=> (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)))) (=> (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) X3)))) (not (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) X3)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y))))))))))))
% 16.06/16.25 (assume a389 (forall ((X3 tptp.num) (Y tptp.num) (Z tptp.num)) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) Z)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Z)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Z)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) Y)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) Z)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) X3)))) (not (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) X3)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y))))))))))))
% 16.06/16.25 (assume a390 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Z)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Z)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) Y)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) X3)))) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) X3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y))))))))))))
% 16.06/16.25 (assume a391 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Z)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Z)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) Y)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) X3)))) (not (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) X3)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y))))))))))))
% 16.06/16.25 (assume a392 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (= X3 Y) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X3))))))
% 16.06/16.25 (assume a393 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (= X3 Y) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3))))))
% 16.06/16.25 (assume a394 (forall ((X3 tptp.num) (Y tptp.num)) (= (= X3 Y) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3))))))
% 16.06/16.25 (assume a395 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (= X3 Y) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3))))))
% 16.06/16.25 (assume a396 (forall ((X3 tptp.int) (Y tptp.int)) (= (= X3 Y) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3))))))
% 16.06/16.25 (assume a397 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (= A B) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) C)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) C))))))
% 16.06/16.25 (assume a398 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (= A B) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C))))))
% 16.06/16.25 (assume a399 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (= A B) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) C))))))
% 16.06/16.25 (assume a400 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (= A B) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C))))))
% 16.06/16.25 (assume a401 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (= A B) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C))))))
% 16.06/16.25 (assume a402 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (=> (= B C) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) C))))))
% 16.06/16.25 (assume a403 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (= B C) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C))))))
% 16.06/16.25 (assume a404 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (= B C) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) C))))))
% 16.06/16.25 (assume a405 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (= B C) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C))))))
% 16.06/16.25 (assume a406 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (= B C) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C))))))
% 16.06/16.25 (assume a407 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X3)) (= X3 Y)))))
% 16.06/16.25 (assume a408 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)) (= X3 Y)))))
% 16.06/16.25 (assume a409 (forall ((X3 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3)) (= X3 Y)))))
% 16.06/16.25 (assume a410 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)) (= X3 Y)))))
% 16.06/16.25 (assume a411 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)) (= X3 Y)))))
% 16.06/16.25 (assume a412 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) C)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) C))))))
% 16.06/16.25 (assume a413 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C))))))
% 16.06/16.25 (assume a414 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) C))))))
% 16.06/16.25 (assume a415 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C))))))
% 16.06/16.25 (assume a416 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C))))))
% 16.06/16.25 (assume a417 (forall ((X3 tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) Z)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Z))))))
% 16.06/16.25 (assume a418 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Z))))))
% 16.06/16.25 (assume a419 (forall ((X3 tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Z))))))
% 16.06/16.25 (assume a420 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Z))))))
% 16.06/16.25 (assume a421 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Z))))))
% 16.06/16.25 (assume a422 (forall ((P tptp.fun_rat_fun_rat_bool) (A tptp.rat) (B tptp.rat)) (=> (forall ((A3 tptp.rat) (B3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A3) B3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A3) B3)))) (=> (forall ((A3 tptp.rat) (B3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P B3) A3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A3) B3)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A) B))))))
% 16.06/16.25 (assume a423 (forall ((P tptp.fun_num_fun_num_bool) (A tptp.num) (B tptp.num)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A3) B3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A3) B3)))) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P B3) A3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A3) B3)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A) B))))))
% 16.06/16.25 (assume a424 (forall ((P tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B tptp.nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A3) B3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) B3)))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P B3) A3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) B3)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A) B))))))
% 16.06/16.25 (assume a425 (forall ((P tptp.fun_int_fun_int_bool) (A tptp.int) (B tptp.int)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A3) B3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A3) B3)))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P B3) A3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A3) B3)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A) B))))))
% 16.06/16.25 (assume a426 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (= A B) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))))))
% 16.06/16.25 (assume a427 (forall ((A tptp.rat) (B tptp.rat)) (= (= A B) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 16.06/16.25 (assume a428 (forall ((A tptp.num) (B tptp.num)) (= (= A B) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))))))
% 16.06/16.25 (assume a429 (forall ((A tptp.nat) (B tptp.nat)) (= (= A B) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))))))
% 16.06/16.25 (assume a430 (forall ((A tptp.int) (B tptp.int)) (= (= A B) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 16.06/16.25 (assume a431 (forall ((B tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (= A B)))))
% 16.06/16.25 (assume a432 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= A B)))))
% 16.06/16.25 (assume a433 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (= A B)))))
% 16.06/16.25 (assume a434 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= A B)))))
% 16.06/16.25 (assume a435 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= A B)))))
% 16.06/16.25 (assume a436 (forall ((B tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) A))))))
% 16.06/16.25 (assume a437 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A))))))
% 16.06/16.25 (assume a438 (forall ((B tptp.num) (A tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A))))))
% 16.06/16.25 (assume a439 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A))))))
% 16.06/16.25 (assume a440 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A))))))
% 16.06/16.25 (assume a441 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (= A B)))))
% 16.06/16.25 (assume a442 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= A B)))))
% 16.06/16.25 (assume a443 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (= A B)))))
% 16.06/16.25 (assume a444 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= A B)))))
% 16.06/16.25 (assume a445 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= A B)))))
% 16.06/16.25 (assume a446 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (= A B) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A))))))
% 16.06/16.25 (assume a447 (forall ((A tptp.rat) (B tptp.rat)) (= (= A B) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A))))))
% 16.06/16.25 (assume a448 (forall ((A tptp.num) (B tptp.num)) (= (= A B) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A))))))
% 16.06/16.25 (assume a449 (forall ((A tptp.nat) (B tptp.nat)) (= (= A B) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A))))))
% 16.06/16.25 (assume a450 (forall ((A tptp.int) (B tptp.int)) (= (= A B) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A))))))
% 16.06/16.25 (assume a451 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat F B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X5)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat F C))))))))
% 16.06/16.25 (assume a452 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_num_rat F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X5)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_num_rat F C))))))))
% 16.06/16.25 (assume a453 (forall ((A tptp.rat) (F tptp.fun_nat_rat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_nat_rat F B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X5)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_nat_rat F C))))))))
% 16.06/16.25 (assume a454 (forall ((A tptp.rat) (F tptp.fun_int_rat) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_int_rat F B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F X5)) (tptp.aa_int_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_int_rat F C))))))))
% 16.06/16.25 (assume a455 (forall ((A tptp.num) (F tptp.fun_rat_num) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_rat_num F B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X5)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_rat_num F C))))))))
% 16.06/16.25 (assume a456 (forall ((A tptp.num) (F tptp.fun_num_num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_num_num F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X5)) (tptp.aa_num_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_num_num F C))))))))
% 16.06/16.25 (assume a457 (forall ((A tptp.num) (F tptp.fun_nat_num) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_nat_num F B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F X5)) (tptp.aa_nat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_nat_num F C))))))))
% 16.06/16.25 (assume a458 (forall ((A tptp.num) (F tptp.fun_int_num) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_int_num F B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_int_num F X5)) (tptp.aa_int_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_int_num F C))))))))
% 16.06/16.25 (assume a459 (forall ((A tptp.nat) (F tptp.fun_rat_nat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_rat_nat F B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X5)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_rat_nat F C))))))))
% 16.06/16.25 (assume a460 (forall ((A tptp.nat) (F tptp.fun_num_nat) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_num_nat F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X5)) (tptp.aa_num_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_num_nat F C))))))))
% 16.06/16.25 (assume a461 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X5)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F A)) C)))))))
% 16.06/16.25 (assume a462 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X5)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F A)) C)))))))
% 16.06/16.25 (assume a463 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X5)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F A)) C)))))))
% 16.06/16.25 (assume a464 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X5)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F A)) C)))))))
% 16.06/16.25 (assume a465 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F B)) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X5)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F A)) C)))))))
% 16.06/16.25 (assume a466 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F B)) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X5)) (tptp.aa_num_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F A)) C)))))))
% 16.06/16.25 (assume a467 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F B)) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X5)) (tptp.aa_num_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F A)) C)))))))
% 16.06/16.25 (assume a468 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F B)) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X5)) (tptp.aa_num_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F A)) C)))))))
% 16.06/16.25 (assume a469 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_nat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F B)) C)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X5)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F A)) C)))))))
% 16.06/16.25 (assume a470 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_nat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F B)) C)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F X5)) (tptp.aa_nat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F A)) C)))))))
% 16.06/16.25 (assume a471 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (=> (= X3 Y) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)))))
% 16.06/16.25 (assume a472 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (= X3 Y) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)))))
% 16.06/16.25 (assume a473 (forall ((X3 tptp.num) (Y tptp.num)) (=> (= X3 Y) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)))))
% 16.06/16.25 (assume a474 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (= X3 Y) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)))))
% 16.06/16.25 (assume a475 (forall ((X3 tptp.int) (Y tptp.int)) (=> (= X3 Y) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)))))
% 16.06/16.25 (assume a476 (forall ((X3 tptp.rat) (Y tptp.rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)))))
% 16.06/16.25 (assume a477 (forall ((X3 tptp.num) (Y tptp.num)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3)))))
% 16.06/16.25 (assume a478 (forall ((X3 tptp.nat) (Y tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)))))
% 16.06/16.25 (assume a479 (forall ((X3 tptp.int) (Y tptp.int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)))))
% 16.06/16.25 (assume a480 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_rat F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X5)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat F C))))))))
% 16.06/16.25 (assume a481 (forall ((A tptp.num) (F tptp.fun_rat_num) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_num F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X5)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_rat_num F C))))))))
% 16.06/16.25 (assume a482 (forall ((A tptp.nat) (F tptp.fun_rat_nat) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_nat F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X5)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_rat_nat F C))))))))
% 16.06/16.25 (assume a483 (forall ((A tptp.int) (F tptp.fun_rat_int) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_int F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X5)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_rat_int F C))))))))
% 16.06/16.25 (assume a484 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B tptp.num) (C tptp.num)) (=> (= A (tptp.aa_num_rat F B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X5)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_num_rat F C))))))))
% 16.06/16.25 (assume a485 (forall ((A tptp.num) (F tptp.fun_num_num) (B tptp.num) (C tptp.num)) (=> (= A (tptp.aa_num_num F B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X5)) (tptp.aa_num_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_num_num F C))))))))
% 16.06/16.25 (assume a486 (forall ((A tptp.nat) (F tptp.fun_num_nat) (B tptp.num) (C tptp.num)) (=> (= A (tptp.aa_num_nat F B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X5)) (tptp.aa_num_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_num_nat F C))))))))
% 16.06/16.25 (assume a487 (forall ((A tptp.int) (F tptp.fun_num_int) (B tptp.num) (C tptp.num)) (=> (= A (tptp.aa_num_int F B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X5)) (tptp.aa_num_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_num_int F C))))))))
% 16.06/16.25 (assume a488 (forall ((A tptp.rat) (F tptp.fun_nat_rat) (B tptp.nat) (C tptp.nat)) (=> (= A (tptp.aa_nat_rat F B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X5)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_nat_rat F C))))))))
% 16.06/16.25 (assume a489 (forall ((A tptp.num) (F tptp.fun_nat_num) (B tptp.nat) (C tptp.nat)) (=> (= A (tptp.aa_nat_num F B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F X5)) (tptp.aa_nat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_nat_num F C))))))))
% 16.06/16.25 (assume a490 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (= (tptp.aa_rat_rat F B) C) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X5)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F A)) C)))))))
% 16.06/16.25 (assume a491 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (= (tptp.aa_rat_num F B) C) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X5)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F A)) C)))))))
% 16.06/16.25 (assume a492 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (= (tptp.aa_rat_nat F B) C) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X5)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F A)) C)))))))
% 16.06/16.25 (assume a493 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (= (tptp.aa_rat_int F B) C) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X5)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F A)) C)))))))
% 16.06/16.25 (assume a494 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (= (tptp.aa_num_rat F B) C) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X5)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F A)) C)))))))
% 16.06/16.25 (assume a495 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (= (tptp.aa_num_num F B) C) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X5)) (tptp.aa_num_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F A)) C)))))))
% 16.06/16.25 (assume a496 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (= (tptp.aa_num_nat F B) C) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X5)) (tptp.aa_num_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F A)) C)))))))
% 16.06/16.25 (assume a497 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (= (tptp.aa_num_int F B) C) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X5)) (tptp.aa_num_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F A)) C)))))))
% 16.06/16.25 (assume a498 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_nat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (= (tptp.aa_nat_rat F B) C) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X5)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F A)) C)))))))
% 16.06/16.25 (assume a499 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_nat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (= (tptp.aa_nat_num F B) C) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F X5)) (tptp.aa_nat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F A)) C)))))))
% 16.06/16.25 (assume a500 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)))))
% 16.06/16.25 (assume a501 (forall ((X3 tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3)))))
% 16.06/16.25 (assume a502 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)))))
% 16.06/16.25 (assume a503 (forall ((X3 tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)))))
% 16.06/16.25 (assume a504 (forall ((Y tptp.set_nat) (X3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X3)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a505 (forall ((Y tptp.rat) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a506 (forall ((Y tptp.num) (X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a507 (forall ((Y tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a508 (forall ((Y tptp.int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a509 (forall ((A tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat tptp.bot_bo2099793752762293965at_nat) A))))
% 16.06/16.25 (assume a510 (forall ((A tptp.set_bool)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool tptp.bot_bot_set_bool) A))))
% 16.06/16.25 (assume a511 (forall ((A tptp.set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int tptp.bot_bot_set_int) A))))
% 16.06/16.25 (assume a512 (forall ((A tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat tptp.bot_bot_set_nat) A))))
% 16.06/16.25 (assume a513 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.bot_bot_nat) A))))
% 16.06/16.25 (assume a514 (forall ((A tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) tptp.bot_bo2099793752762293965at_nat)) (= A tptp.bot_bo2099793752762293965at_nat))))
% 16.06/16.25 (assume a515 (forall ((A tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A) tptp.bot_bot_set_bool)) (= A tptp.bot_bot_set_bool))))
% 16.06/16.25 (assume a516 (forall ((A tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) tptp.bot_bot_set_int)) (= A tptp.bot_bot_set_int))))
% 16.06/16.25 (assume a517 (forall ((A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) tptp.bot_bot_set_nat)) (= A tptp.bot_bot_set_nat))))
% 16.06/16.25 (assume a518 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.bot_bot_nat)) (= A tptp.bot_bot_nat))))
% 16.06/16.25 (assume a519 (forall ((A tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) tptp.bot_bo2099793752762293965at_nat)) (= A tptp.bot_bo2099793752762293965at_nat))))
% 16.06/16.25 (assume a520 (forall ((A tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A) tptp.bot_bot_set_bool)) (= A tptp.bot_bot_set_bool))))
% 16.06/16.25 (assume a521 (forall ((A tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A) tptp.bot_bot_set_int)) (= A tptp.bot_bot_set_int))))
% 16.06/16.25 (assume a522 (forall ((A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) tptp.bot_bot_set_nat)) (= A tptp.bot_bot_set_nat))))
% 16.06/16.25 (assume a523 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.bot_bot_nat)) (= A tptp.bot_bot_nat))))
% 16.06/16.25 (assume a524 (forall ((Tree tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Tree) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member Tree) X3)) (or (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member Tree) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima Tree) X3)))))))
% 16.06/16.25 (assume a525 (forall ((Mi tptp.nat) (Ma tptp.nat) (Ux tptp.nat) (Uy tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Ux Uy Uz)) (tptp.some_nat Ma))))
% 16.06/16.25 (assume a526 (forall ((Mi tptp.nat) (Ma tptp.nat) (Ux tptp.nat) (Uy tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Ux Uy Uz)) (tptp.some_nat Mi))))
% 16.06/16.25 (assume a527 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.25 (assume a528 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)))))
% 16.06/16.25 (assume a529 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc M2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)))))
% 16.06/16.25 (assume a530 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.plus_plus_real C) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 16.06/16.25 (assume a531 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 16.06/16.25 (assume a532 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))
% 16.06/16.25 (assume a533 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 16.06/16.25 (assume a534 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 16.06/16.25 (assume a535 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 16.06/16.25 (assume a536 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))
% 16.06/16.25 (assume a537 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 16.06/16.25 (assume a538 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X3) Y) Z) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.some_nat X3)) (tptp.some_nat Y)) (tptp.some_nat Z)))))
% 16.06/16.25 (assume a539 (forall ((T tptp.vEBT_VEBT) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X3)) (or (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member T) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima T) X3))))))
% 16.06/16.25 (assume a540 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_maxt T) tptp.none_nat) (= (tptp.vEBT_VEBT_set_vebt T) tptp.bot_bot_set_nat)))))
% 16.06/16.25 (assume a541 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_mint T) tptp.none_nat) (= (tptp.vEBT_VEBT_set_vebt T) tptp.bot_bot_set_nat)))))
% 16.06/16.25 (assume a542 (forall ((N tptp.nat) (X3 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_vebt_buildup N)) X3)))))
% 16.06/16.25 (assume a543 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real B) A) (tptp.aa_real_real (tptp.plus_plus_real C) A)) (= B C))))
% 16.06/16.25 (assume a544 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (= B C))))
% 16.06/16.25 (assume a545 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (= B C))))
% 16.06/16.25 (assume a546 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (= B C))))
% 16.06/16.25 (assume a547 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real A) B) (tptp.aa_real_real (tptp.plus_plus_real A) C)) (= B C))))
% 16.06/16.25 (assume a548 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (= B C))))
% 16.06/16.25 (assume a549 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (= B C))))
% 16.06/16.25 (assume a550 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (= B C))))
% 16.06/16.25 (assume a551 (forall ((Nat tptp.nat) (Nat2 tptp.nat)) (= (= (tptp.aa_nat_nat tptp.suc Nat) (tptp.aa_nat_nat tptp.suc Nat2)) (= Nat Nat2))))
% 16.06/16.25 (assume a552 (forall ((X2 tptp.nat) (Y2 tptp.nat)) (= (= (tptp.aa_nat_nat tptp.suc X2) (tptp.aa_nat_nat tptp.suc Y2)) (= X2 Y2))))
% 16.06/16.25 (assume a553 (forall ((X3 tptp.option4927543243414619207at_nat)) (= (not (= X3 tptp.none_P5556105721700978146at_nat)) (exists ((Y4 tptp.product_prod_nat_nat)) (= X3 (tptp.some_P7363390416028606310at_nat Y4))))))
% 16.06/16.25 (assume a554 (forall ((X3 tptp.option_nat)) (= (not (= X3 tptp.none_nat)) (exists ((Y4 tptp.nat)) (= X3 (tptp.some_nat Y4))))))
% 16.06/16.25 (assume a555 (forall ((X3 tptp.option_num)) (= (not (= X3 tptp.none_num)) (exists ((Y4 tptp.num)) (= X3 (tptp.some_num Y4))))))
% 16.06/16.25 (assume a556 (forall ((X3 tptp.option4927543243414619207at_nat)) (= (forall ((Y4 tptp.product_prod_nat_nat)) (not (= X3 (tptp.some_P7363390416028606310at_nat Y4)))) (= X3 tptp.none_P5556105721700978146at_nat))))
% 16.06/16.25 (assume a557 (forall ((X3 tptp.option_nat)) (= (forall ((Y4 tptp.nat)) (not (= X3 (tptp.some_nat Y4)))) (= X3 tptp.none_nat))))
% 16.06/16.25 (assume a558 (forall ((X3 tptp.option_num)) (= (forall ((Y4 tptp.num)) (not (= X3 (tptp.some_num Y4)))) (= X3 tptp.none_num))))
% 16.06/16.25 (assume a559 (= tptp.vEBT_VEBT_add (tptp.vEBT_V4262088993061758097ft_nat tptp.plus_plus_nat)))
% 16.06/16.25 (assume a560 (forall ((X3 tptp.produc533602882674032673at_nat)) (=> (forall ((Uu tptp.fun_Pr248683899324676269t_bool) (Uv tptp.option4927543243414619207at_nat)) (not (= X3 (tptp.produc5961576194287291153at_nat Uu (tptp.produc488173922507101015at_nat tptp.none_P5556105721700978146at_nat Uv))))) (=> (forall ((Uw tptp.fun_Pr248683899324676269t_bool) (V tptp.product_prod_nat_nat)) (not (= X3 (tptp.produc5961576194287291153at_nat Uw (tptp.produc488173922507101015at_nat (tptp.some_P7363390416028606310at_nat V) tptp.none_P5556105721700978146at_nat))))) (not (forall ((F2 tptp.fun_Pr248683899324676269t_bool) (X5 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (not (= X3 (tptp.produc5961576194287291153at_nat F2 (tptp.produc488173922507101015at_nat (tptp.some_P7363390416028606310at_nat X5) (tptp.some_P7363390416028606310at_nat Y3)))))))))))
% 16.06/16.25 (assume a561 (forall ((X3 tptp.produc3700678068921409119on_nat)) (=> (forall ((Uu tptp.fun_nat_fun_nat_bool) (Uv tptp.option_nat)) (not (= X3 (tptp.produc2004789812759622991on_nat Uu (tptp.produc5098337634421038937on_nat tptp.none_nat Uv))))) (=> (forall ((Uw tptp.fun_nat_fun_nat_bool) (V tptp.nat)) (not (= X3 (tptp.produc2004789812759622991on_nat Uw (tptp.produc5098337634421038937on_nat (tptp.some_nat V) tptp.none_nat))))) (not (forall ((F2 tptp.fun_nat_fun_nat_bool) (X5 tptp.nat) (Y3 tptp.nat)) (not (= X3 (tptp.produc2004789812759622991on_nat F2 (tptp.produc5098337634421038937on_nat (tptp.some_nat X5) (tptp.some_nat Y3)))))))))))
% 16.06/16.25 (assume a562 (forall ((X3 tptp.produc6167219322466932359on_num)) (=> (forall ((Uu tptp.fun_num_fun_num_bool) (Uv tptp.option_num)) (not (= X3 (tptp.produc8433281988922931063on_num Uu (tptp.produc8585076106096196333on_num tptp.none_num Uv))))) (=> (forall ((Uw tptp.fun_num_fun_num_bool) (V tptp.num)) (not (= X3 (tptp.produc8433281988922931063on_num Uw (tptp.produc8585076106096196333on_num (tptp.some_num V) tptp.none_num))))) (not (forall ((F2 tptp.fun_num_fun_num_bool) (X5 tptp.num) (Y3 tptp.num)) (not (= X3 (tptp.produc8433281988922931063on_num F2 (tptp.produc8585076106096196333on_num (tptp.some_num X5) (tptp.some_num Y3)))))))))))
% 16.06/16.25 (assume a563 (forall ((X3 tptp.produc1260151622200656695at_nat)) (=> (forall ((Uu tptp.fun_Pr2477239776880934807at_nat) (Uv tptp.option4927543243414619207at_nat)) (not (= X3 (tptp.produc7814092408141220007at_nat Uu (tptp.produc488173922507101015at_nat tptp.none_P5556105721700978146at_nat Uv))))) (=> (forall ((Uw tptp.fun_Pr2477239776880934807at_nat) (V tptp.product_prod_nat_nat)) (not (= X3 (tptp.produc7814092408141220007at_nat Uw (tptp.produc488173922507101015at_nat (tptp.some_P7363390416028606310at_nat V) tptp.none_P5556105721700978146at_nat))))) (not (forall ((F2 tptp.fun_Pr2477239776880934807at_nat) (A3 tptp.product_prod_nat_nat) (B3 tptp.product_prod_nat_nat)) (not (= X3 (tptp.produc7814092408141220007at_nat F2 (tptp.produc488173922507101015at_nat (tptp.some_P7363390416028606310at_nat A3) (tptp.some_P7363390416028606310at_nat B3)))))))))))
% 16.06/16.25 (assume a564 (forall ((X3 tptp.produc7004362771917097900on_nat)) (=> (forall ((Uu tptp.fun_nat_fun_nat_nat) (Uv tptp.option_nat)) (not (= X3 (tptp.produc6699827698519632094on_nat Uu (tptp.produc5098337634421038937on_nat tptp.none_nat Uv))))) (=> (forall ((Uw tptp.fun_nat_fun_nat_nat) (V tptp.nat)) (not (= X3 (tptp.produc6699827698519632094on_nat Uw (tptp.produc5098337634421038937on_nat (tptp.some_nat V) tptp.none_nat))))) (not (forall ((F2 tptp.fun_nat_fun_nat_nat) (A3 tptp.nat) (B3 tptp.nat)) (not (= X3 (tptp.produc6699827698519632094on_nat F2 (tptp.produc5098337634421038937on_nat (tptp.some_nat A3) (tptp.some_nat B3)))))))))))
% 16.06/16.25 (assume a565 (forall ((X3 tptp.produc2703417854250991842on_num)) (=> (forall ((Uu tptp.fun_num_fun_num_num) (Uv tptp.option_num)) (not (= X3 (tptp.produc6360833703471310868on_num Uu (tptp.produc8585076106096196333on_num tptp.none_num Uv))))) (=> (forall ((Uw tptp.fun_num_fun_num_num) (V tptp.num)) (not (= X3 (tptp.produc6360833703471310868on_num Uw (tptp.produc8585076106096196333on_num (tptp.some_num V) tptp.none_num))))) (not (forall ((F2 tptp.fun_num_fun_num_num) (A3 tptp.num) (B3 tptp.num)) (not (= X3 (tptp.produc6360833703471310868on_num F2 (tptp.produc8585076106096196333on_num (tptp.some_num A3) (tptp.some_num B3)))))))))))
% 16.06/16.25 (assume a566 (forall ((X2 tptp.product_prod_nat_nat)) (not (= tptp.none_P5556105721700978146at_nat (tptp.some_P7363390416028606310at_nat X2)))))
% 16.06/16.25 (assume a567 (forall ((X2 tptp.nat)) (not (= tptp.none_nat (tptp.some_nat X2)))))
% 16.06/16.25 (assume a568 (forall ((X2 tptp.num)) (not (= tptp.none_num (tptp.some_num X2)))))
% 16.06/16.25 (assume a569 (forall ((Option tptp.option4927543243414619207at_nat) (X2 tptp.product_prod_nat_nat)) (=> (= Option (tptp.some_P7363390416028606310at_nat X2)) (not (= Option tptp.none_P5556105721700978146at_nat)))))
% 16.06/16.25 (assume a570 (forall ((Option tptp.option_nat) (X2 tptp.nat)) (=> (= Option (tptp.some_nat X2)) (not (= Option tptp.none_nat)))))
% 16.06/16.25 (assume a571 (forall ((Option tptp.option_num) (X2 tptp.num)) (=> (= Option (tptp.some_num X2)) (not (= Option tptp.none_num)))))
% 16.06/16.25 (assume a572 (forall ((Y tptp.option4927543243414619207at_nat)) (=> (not (= Y tptp.none_P5556105721700978146at_nat)) (not (forall ((X22 tptp.product_prod_nat_nat)) (not (= Y (tptp.some_P7363390416028606310at_nat X22))))))))
% 16.06/16.25 (assume a573 (forall ((Y tptp.option_nat)) (=> (not (= Y tptp.none_nat)) (not (forall ((X22 tptp.nat)) (not (= Y (tptp.some_nat X22))))))))
% 16.06/16.25 (assume a574 (forall ((Y tptp.option_num)) (=> (not (= Y tptp.none_num)) (not (forall ((X22 tptp.num)) (not (= Y (tptp.some_num X22))))))))
% 16.06/16.25 (assume a575 (forall ((P tptp.fun_op2627489687811228755t_bool)) (= (exists ((X_12 tptp.option4927543243414619207at_nat)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool P X_12))) (or (tptp.pp (tptp.aa_opt6800557945374683724t_bool P tptp.none_P5556105721700978146at_nat)) (exists ((X4 tptp.product_prod_nat_nat)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool P (tptp.some_P7363390416028606310at_nat X4))))))))
% 16.06/16.25 (assume a576 (forall ((P tptp.fun_option_nat_bool)) (= (exists ((X_12 tptp.option_nat)) (tptp.pp (tptp.aa_option_nat_bool P X_12))) (or (tptp.pp (tptp.aa_option_nat_bool P tptp.none_nat)) (exists ((X4 tptp.nat)) (tptp.pp (tptp.aa_option_nat_bool P (tptp.some_nat X4))))))))
% 16.06/16.25 (assume a577 (forall ((P tptp.fun_option_num_bool)) (= (exists ((X_12 tptp.option_num)) (tptp.pp (tptp.aa_option_num_bool P X_12))) (or (tptp.pp (tptp.aa_option_num_bool P tptp.none_num)) (exists ((X4 tptp.num)) (tptp.pp (tptp.aa_option_num_bool P (tptp.some_num X4))))))))
% 16.06/16.25 (assume a578 (forall ((P tptp.fun_op2627489687811228755t_bool)) (= (forall ((X_12 tptp.option4927543243414619207at_nat)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool P X_12))) (and (tptp.pp (tptp.aa_opt6800557945374683724t_bool P tptp.none_P5556105721700978146at_nat)) (forall ((X4 tptp.product_prod_nat_nat)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool P (tptp.some_P7363390416028606310at_nat X4))))))))
% 16.06/16.25 (assume a579 (forall ((P tptp.fun_option_nat_bool)) (= (forall ((X_12 tptp.option_nat)) (tptp.pp (tptp.aa_option_nat_bool P X_12))) (and (tptp.pp (tptp.aa_option_nat_bool P tptp.none_nat)) (forall ((X4 tptp.nat)) (tptp.pp (tptp.aa_option_nat_bool P (tptp.some_nat X4))))))))
% 16.06/16.25 (assume a580 (forall ((P tptp.fun_option_num_bool)) (= (forall ((X_12 tptp.option_num)) (tptp.pp (tptp.aa_option_num_bool P X_12))) (and (tptp.pp (tptp.aa_option_num_bool P tptp.none_num)) (forall ((X4 tptp.num)) (tptp.pp (tptp.aa_option_num_bool P (tptp.some_num X4))))))))
% 16.06/16.25 (assume a581 (forall ((X3 tptp.option4927543243414619207at_nat) (P tptp.fun_op5682630191948829869t_bool) (Y tptp.option4927543243414619207at_nat)) (=> (=> (= X3 tptp.none_P5556105721700978146at_nat) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt7606875699174042974t_bool P X3) Y))) (=> (=> (= Y tptp.none_P5556105721700978146at_nat) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt7606875699174042974t_bool P X3) Y))) (=> (forall ((A3 tptp.product_prod_nat_nat) (B3 tptp.product_prod_nat_nat)) (=> (= X3 (tptp.some_P7363390416028606310at_nat A3)) (=> (= Y (tptp.some_P7363390416028606310at_nat B3)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt7606875699174042974t_bool P X3) Y))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt7606875699174042974t_bool P X3) Y)))))))
% 16.06/16.25 (assume a582 (forall ((X3 tptp.option4927543243414619207at_nat) (P tptp.fun_op9100744243108201484t_bool) (Y tptp.option_nat)) (=> (=> (= X3 tptp.none_P5556105721700978146at_nat) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt5915962183577952389t_bool P X3) Y))) (=> (=> (= Y tptp.none_nat) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt5915962183577952389t_bool P X3) Y))) (=> (forall ((A3 tptp.product_prod_nat_nat) (B3 tptp.nat)) (=> (= X3 (tptp.some_P7363390416028606310at_nat A3)) (=> (= Y (tptp.some_nat B3)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt5915962183577952389t_bool P X3) Y))))) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt5915962183577952389t_bool P X3) Y)))))))
% 16.06/16.25 (assume a583 (forall ((X3 tptp.option4927543243414619207at_nat) (P tptp.fun_op775672374849087042m_bool) (Y tptp.option_num)) (=> (=> (= X3 tptp.none_P5556105721700978146at_nat) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt9110142220287573435m_bool P X3) Y))) (=> (=> (= Y tptp.none_num) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt9110142220287573435m_bool P X3) Y))) (=> (forall ((A3 tptp.product_prod_nat_nat) (B3 tptp.num)) (=> (= X3 (tptp.some_P7363390416028606310at_nat A3)) (=> (= Y (tptp.some_num B3)) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt9110142220287573435m_bool P X3) Y))))) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt9110142220287573435m_bool P X3) Y)))))))
% 16.06/16.25 (assume a584 (forall ((X3 tptp.option_nat) (P tptp.fun_op5698422665285572208t_bool) (Y tptp.option4927543243414619207at_nat)) (=> (=> (= X3 tptp.none_nat) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt9009324110926966577t_bool P X3) Y))) (=> (=> (= Y tptp.none_P5556105721700978146at_nat) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt9009324110926966577t_bool P X3) Y))) (=> (forall ((A3 tptp.nat) (B3 tptp.product_prod_nat_nat)) (=> (= X3 (tptp.some_nat A3)) (=> (= Y (tptp.some_P7363390416028606310at_nat B3)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt9009324110926966577t_bool P X3) Y))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt9009324110926966577t_bool P X3) Y)))))))
% 16.06/16.25 (assume a585 (forall ((X3 tptp.option_nat) (P tptp.fun_op7792301606653096457t_bool) (Y tptp.option_nat)) (=> (=> (= X3 tptp.none_nat) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool P X3) Y))) (=> (=> (= Y tptp.none_nat) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool P X3) Y))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= X3 (tptp.some_nat A3)) (=> (= Y (tptp.some_nat B3)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool P X3) Y))))) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool P X3) Y)))))))
% 16.06/16.25 (assume a586 (forall ((X3 tptp.option_nat) (P tptp.fun_op8690601775248757823m_bool) (Y tptp.option_num)) (=> (=> (= X3 tptp.none_nat) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt1914333813751119784m_bool P X3) Y))) (=> (=> (= Y tptp.none_num) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt1914333813751119784m_bool P X3) Y))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= X3 (tptp.some_nat A3)) (=> (= Y (tptp.some_num B3)) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt1914333813751119784m_bool P X3) Y))))) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt1914333813751119784m_bool P X3) Y)))))))
% 16.06/16.25 (assume a587 (forall ((X3 tptp.option_num) (P tptp.fun_op7732454363416259258t_bool) (Y tptp.option4927543243414619207at_nat)) (=> (=> (= X3 tptp.none_num) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt1819983772202877819t_bool P X3) Y))) (=> (=> (= Y tptp.none_P5556105721700978146at_nat) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt1819983772202877819t_bool P X3) Y))) (=> (forall ((A3 tptp.num) (B3 tptp.product_prod_nat_nat)) (=> (= X3 (tptp.some_num A3)) (=> (= Y (tptp.some_P7363390416028606310at_nat B3)) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt1819983772202877819t_bool P X3) Y))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.aa_opt1819983772202877819t_bool P X3) Y)))))))
% 16.06/16.25 (assume a588 (forall ((X3 tptp.option_num) (P tptp.fun_op1064277265382982207t_bool) (Y tptp.option_nat)) (=> (=> (= X3 tptp.none_num) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt1215501472626160296t_bool P X3) Y))) (=> (=> (= Y tptp.none_nat) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt1215501472626160296t_bool P X3) Y))) (=> (forall ((A3 tptp.num) (B3 tptp.nat)) (=> (= X3 (tptp.some_num A3)) (=> (= Y (tptp.some_nat B3)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt1215501472626160296t_bool P X3) Y))))) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt1215501472626160296t_bool P X3) Y)))))))
% 16.06/16.25 (assume a589 (forall ((X3 tptp.option_num) (P tptp.fun_op1962577433978643573m_bool) (Y tptp.option_num)) (=> (=> (= X3 tptp.none_num) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt4409681509335781342m_bool P X3) Y))) (=> (=> (= Y tptp.none_num) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt4409681509335781342m_bool P X3) Y))) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= X3 (tptp.some_num A3)) (=> (= Y (tptp.some_num B3)) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt4409681509335781342m_bool P X3) Y))))) (tptp.pp (tptp.aa_option_num_bool (tptp.aa_opt4409681509335781342m_bool P X3) Y)))))))
% 16.06/16.25 (assume a590 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (= (tptp.aa_real_real (tptp.plus_plus_real B) A) (tptp.aa_real_real (tptp.plus_plus_real C) A)) (= B C))))
% 16.06/16.25 (assume a591 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (= B C))))
% 16.06/16.25 (assume a592 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (= B C))))
% 16.06/16.25 (assume a593 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (= B C))))
% 16.06/16.25 (assume a594 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (= (tptp.aa_real_real (tptp.plus_plus_real A) B) (tptp.aa_real_real (tptp.plus_plus_real A) C)) (= B C))))
% 16.06/16.25 (assume a595 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (= B C))))
% 16.06/16.25 (assume a596 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (= B C))))
% 16.06/16.25 (assume a597 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (= B C))))
% 16.06/16.25 (assume a598 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real B) (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real (tptp.plus_plus_real B) C)))))
% 16.06/16.25 (assume a599 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C)))))
% 16.06/16.25 (assume a600 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C)))))
% 16.06/16.25 (assume a601 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C)))))
% 16.06/16.25 (assume a602 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real A) B) (tptp.aa_real_real (tptp.plus_plus_real B) A))))
% 16.06/16.25 (assume a603 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) A))))
% 16.06/16.25 (assume a604 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A))))
% 16.06/16.25 (assume a605 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A))))
% 16.06/16.25 (assume a606 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real B) A) (tptp.aa_real_real (tptp.plus_plus_real C) A)) (= B C))))
% 16.06/16.25 (assume a607 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (= B C))))
% 16.06/16.25 (assume a608 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (= B C))))
% 16.06/16.25 (assume a609 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real A) B) (tptp.aa_real_real (tptp.plus_plus_real A) C)) (= B C))))
% 16.06/16.25 (assume a610 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (= B C))))
% 16.06/16.25 (assume a611 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (= B C))))
% 16.06/16.25 (assume a612 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) C) (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real (tptp.plus_plus_real B) C)))))
% 16.06/16.25 (assume a613 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C)))))
% 16.06/16.25 (assume a614 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C)))))
% 16.06/16.25 (assume a615 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C)))))
% 16.06/16.25 (assume a616 (forall ((B4 tptp.real) (K2 tptp.real) (B tptp.real) (A tptp.real)) (=> (= B4 (tptp.aa_real_real (tptp.plus_plus_real K2) B)) (= (tptp.aa_real_real (tptp.plus_plus_real A) B4) (tptp.aa_real_real (tptp.plus_plus_real K2) (tptp.aa_real_real (tptp.plus_plus_real A) B))))))
% 16.06/16.25 (assume a617 (forall ((B4 tptp.rat) (K2 tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (= B4 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K2) B)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B))))))
% 16.06/16.25 (assume a618 (forall ((B4 tptp.nat) (K2 tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (= B4 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))))))
% 16.06/16.25 (assume a619 (forall ((B4 tptp.int) (K2 tptp.int) (B tptp.int) (A tptp.int)) (=> (= B4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B))))))
% 16.06/16.25 (assume a620 (forall ((A4 tptp.real) (K2 tptp.real) (A tptp.real) (B tptp.real)) (=> (= A4 (tptp.aa_real_real (tptp.plus_plus_real K2) A)) (= (tptp.aa_real_real (tptp.plus_plus_real A4) B) (tptp.aa_real_real (tptp.plus_plus_real K2) (tptp.aa_real_real (tptp.plus_plus_real A) B))))))
% 16.06/16.25 (assume a621 (forall ((A4 tptp.rat) (K2 tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (= A4 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K2) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A4) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B))))))
% 16.06/16.25 (assume a622 (forall ((A4 tptp.nat) (K2 tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (= A4 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A4) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))))))
% 16.06/16.25 (assume a623 (forall ((A4 tptp.int) (K2 tptp.int) (A tptp.int) (B tptp.int)) (=> (= A4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A4) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B))))))
% 16.06/16.25 (assume a624 (forall ((I tptp.real) (J tptp.real) (K2 tptp.real) (L tptp.real)) (=> (and (= I J) (= K2 L)) (= (tptp.aa_real_real (tptp.plus_plus_real I) K2) (tptp.aa_real_real (tptp.plus_plus_real J) L)))))
% 16.06/16.25 (assume a625 (forall ((I tptp.rat) (J tptp.rat) (K2 tptp.rat) (L tptp.rat)) (=> (and (= I J) (= K2 L)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L)))))
% 16.06/16.25 (assume a626 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat) (L tptp.nat)) (=> (and (= I J) (= K2 L)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L)))))
% 16.06/16.25 (assume a627 (forall ((I tptp.int) (J tptp.int) (K2 tptp.int) (L tptp.int)) (=> (and (= I J) (= K2 L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L)))))
% 16.06/16.25 (assume a628 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) C) (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real (tptp.plus_plus_real B) C)))))
% 16.06/16.25 (assume a629 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C)))))
% 16.06/16.25 (assume a630 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C)))))
% 16.06/16.25 (assume a631 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C)))))
% 16.06/16.25 (assume a632 (forall ((N tptp.nat)) (not (= N (tptp.aa_nat_nat tptp.suc N)))))
% 16.06/16.25 (assume a633 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat tptp.suc X3) (tptp.aa_nat_nat tptp.suc Y)) (= X3 Y))))
% 16.06/16.25 (assume a634 (forall ((P tptp.fun_nat_bool) (K2 tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K2)) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) B)))) (exists ((X5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool P X5)) (forall ((Y5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y5) X5))))))))))
% 16.06/16.25 (assume a635 (forall ((M2 tptp.nat) (N tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)))))
% 16.06/16.25 (assume a636 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= M2 N)))))
% 16.06/16.25 (assume a637 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (= M2 N) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.25 (assume a638 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) K2))))))
% 16.06/16.25 (assume a639 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N))))
% 16.06/16.25 (assume a640 (forall ((X3 tptp.list_VEBT_VEBT) (Y tptp.list_VEBT_VEBT)) (=> (not (= (tptp.size_s6755466524823107622T_VEBT X3) (tptp.size_s6755466524823107622T_VEBT Y))) (not (= X3 Y)))))
% 16.06/16.25 (assume a641 (forall ((X3 tptp.list_bool) (Y tptp.list_bool)) (=> (not (= (tptp.size_size_list_bool X3) (tptp.size_size_list_bool Y))) (not (= X3 Y)))))
% 16.06/16.25 (assume a642 (forall ((X3 tptp.list_nat) (Y tptp.list_nat)) (=> (not (= (tptp.size_size_list_nat X3) (tptp.size_size_list_nat Y))) (not (= X3 Y)))))
% 16.06/16.25 (assume a643 (forall ((X3 tptp.list_int) (Y tptp.list_int)) (=> (not (= (tptp.size_size_list_int X3) (tptp.size_size_list_int Y))) (not (= X3 Y)))))
% 16.06/16.25 (assume a644 (forall ((X3 tptp.num) (Y tptp.num)) (=> (not (= (tptp.aa_num_nat tptp.size_size_num X3) (tptp.aa_num_nat tptp.size_size_num Y))) (not (= X3 Y)))))
% 16.06/16.25 (assume a645 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 16.06/16.25 (assume a646 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 16.06/16.25 (assume a647 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))
% 16.06/16.25 (assume a648 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 16.06/16.25 (assume a649 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.plus_plus_real C) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 16.06/16.25 (assume a650 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 16.06/16.25 (assume a651 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))
% 16.06/16.25 (assume a652 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 16.06/16.25 (assume a653 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (exists ((C4 tptp.nat)) (= B (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C4))))))
% 16.06/16.25 (assume a654 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real B) C))))))
% 16.06/16.25 (assume a655 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C))))))
% 16.06/16.25 (assume a656 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C))))))
% 16.06/16.25 (assume a657 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C))))))
% 16.06/16.25 (assume a658 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (not (forall ((C5 tptp.nat)) (not (= B (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C5))))))))
% 16.06/16.25 (assume a659 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.plus_plus_real C) B))))))
% 16.06/16.25 (assume a660 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B))))))
% 16.06/16.25 (assume a661 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B))))))
% 16.06/16.25 (assume a662 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B))))))
% 16.06/16.25 (assume a663 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real B) D)))))))
% 16.06/16.25 (assume a664 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) D)))))))
% 16.06/16.25 (assume a665 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) D)))))))
% 16.06/16.25 (assume a666 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) D)))))))
% 16.06/16.25 (assume a667 (forall ((I tptp.real) (J tptp.real) (K2 tptp.real) (L tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I) J)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real K2) L))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real I) K2)) (tptp.aa_real_real (tptp.plus_plus_real J) L))))))
% 16.06/16.25 (assume a668 (forall ((I tptp.rat) (J tptp.rat) (K2 tptp.rat) (L tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat I) J)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat K2) L))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 16.06/16.25 (assume a669 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat) (L tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) L))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.06/16.25 (assume a670 (forall ((I tptp.int) (J tptp.int) (K2 tptp.int) (L tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K2) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.06/16.25 (assume a671 (forall ((I tptp.real) (J tptp.real) (K2 tptp.real) (L tptp.real)) (=> (and (= I J) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real K2) L))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real I) K2)) (tptp.aa_real_real (tptp.plus_plus_real J) L))))))
% 16.06/16.25 (assume a672 (forall ((I tptp.rat) (J tptp.rat) (K2 tptp.rat) (L tptp.rat)) (=> (and (= I J) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat K2) L))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 16.06/16.25 (assume a673 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat) (L tptp.nat)) (=> (and (= I J) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) L))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.06/16.25 (assume a674 (forall ((I tptp.int) (J tptp.int) (K2 tptp.int) (L tptp.int)) (=> (and (= I J) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K2) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.06/16.25 (assume a675 (forall ((I tptp.real) (J tptp.real) (K2 tptp.real) (L tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I) J)) (= K2 L)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real I) K2)) (tptp.aa_real_real (tptp.plus_plus_real J) L))))))
% 16.06/16.25 (assume a676 (forall ((I tptp.rat) (J tptp.rat) (K2 tptp.rat) (L tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat I) J)) (= K2 L)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 16.06/16.25 (assume a677 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat) (L tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= K2 L)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.06/16.25 (assume a678 (forall ((I tptp.int) (J tptp.int) (K2 tptp.int) (L tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (= K2 L)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.06/16.25 (assume a679 (forall ((M2 tptp.nat) (N tptp.nat) (R tptp.fun_nat_fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (=> (forall ((X5 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X5) X5))) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat) (Z2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X5) Y3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R Y3) Z2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X5) Z2))))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R N2) (tptp.aa_nat_nat tptp.suc N2)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R M2) N))))))))
% 16.06/16.25 (assume a680 (forall ((M2 tptp.nat) (N tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (=> (tptp.pp (tptp.aa_nat_bool P M2)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N2)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2)))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 16.06/16.25 (assume a681 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((N2 tptp.nat)) (=> (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc M3)) N2)) (tptp.pp (tptp.aa_nat_bool P M3)))) (tptp.pp (tptp.aa_nat_bool P N2)))) (tptp.pp (tptp.aa_nat_bool P N)))))
% 16.06/16.25 (assume a682 (forall ((M2 tptp.nat) (N tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc N)) M2)))))
% 16.06/16.25 (assume a683 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc N)) N)))))
% 16.06/16.25 (assume a684 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= M2 (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.25 (assume a685 (forall ((N tptp.nat) (M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc N)) M4)) (exists ((M tptp.nat)) (= M4 (tptp.aa_nat_nat tptp.suc M))))))
% 16.06/16.25 (assume a686 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.25 (assume a687 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))) (= M2 (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.25 (assume a688 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc M2)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.25 (assume a689 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.suc M2)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) (tptp.aa_nat_nat tptp.suc N)))))
% 16.06/16.25 (assume a690 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.suc M2)) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)))))
% 16.06/16.25 (assume a691 (forall ((A4 tptp.nat) (K2 tptp.nat) (A tptp.nat)) (=> (= A4 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) A)) (= (tptp.aa_nat_nat tptp.suc A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) (tptp.aa_nat_nat tptp.suc A))))))
% 16.06/16.25 (assume a692 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (exists ((K3 tptp.nat)) (= N (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K3))))))
% 16.06/16.25 (assume a693 (forall ((I tptp.nat) (J tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) J))))))
% 16.06/16.25 (assume a694 (forall ((I tptp.nat) (J tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) M2))))))
% 16.06/16.25 (assume a695 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K2))))))
% 16.06/16.25 (assume a696 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) L)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L)))))))
% 16.06/16.25 (assume a697 (forall ((K2 tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) L)) (exists ((N2 tptp.nat)) (= L (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) N2))))))
% 16.06/16.25 (assume a698 (forall ((M2 tptp.nat) (K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K2)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)))))
% 16.06/16.25 (assume a699 (forall ((M2 tptp.nat) (K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K2)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.25 (assume a700 (forall ((N tptp.nat) (M2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)))))
% 16.06/16.25 (assume a701 (forall ((N tptp.nat) (M2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)))))
% 16.06/16.25 (assume a702 (forall ((M2 tptp.nat) (K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K2)) N)) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N))))))))
% 16.06/16.25 (assume a703 (forall ((F tptp.fun_nat_set_nat) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat F (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_set_nat F N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat F N3)) (tptp.aa_nat_set_nat F N)))))))
% 16.06/16.25 (assume a704 (forall ((F tptp.fun_nat_rat) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_rat F N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F N3)) (tptp.aa_nat_rat F N)))))))
% 16.06/16.25 (assume a705 (forall ((F tptp.fun_nat_num) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_num F N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F N3)) (tptp.aa_nat_num F N)))))))
% 16.06/16.25 (assume a706 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_nat F N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N3)) (tptp.aa_nat_nat F N)))))))
% 16.06/16.25 (assume a707 (forall ((F tptp.fun_nat_int) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_int F N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N3)) (tptp.aa_nat_int F N)))))))
% 16.06/16.25 (assume a708 (forall ((F tptp.fun_nat_set_nat) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat F N2)) (tptp.aa_nat_set_nat F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat F N)) (tptp.aa_nat_set_nat F N3)))))))
% 16.06/16.25 (assume a709 (forall ((F tptp.fun_nat_rat) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F N2)) (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F N)) (tptp.aa_nat_rat F N3)))))))
% 16.06/16.25 (assume a710 (forall ((F tptp.fun_nat_num) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F N2)) (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F N)) (tptp.aa_nat_num F N3)))))))
% 16.06/16.25 (assume a711 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N2)) (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N)) (tptp.aa_nat_nat F N3)))))))
% 16.06/16.25 (assume a712 (forall ((F tptp.fun_nat_int) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N2)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N)) (tptp.aa_nat_int F N3)))))))
% 16.06/16.25 (assume a713 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Ma) X3)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) tptp.none_nat)))))
% 16.06/16.25 (assume a714 (forall ((T tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_mint T) tptp.none_nat) (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)))))
% 16.06/16.25 (assume a715 (forall ((T tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (= (tptp.vEBT_vebt_mint T) tptp.none_nat))))
% 16.06/16.25 (assume a716 (forall ((P tptp.fun_complex_bool)) (= (= (tptp.collect_complex P) tptp.bot_bot_set_complex) (= P tptp.bot_bo8490223647127498926x_bool))))
% 16.06/16.25 (assume a717 (forall ((P tptp.fun_set_nat_bool)) (= (= (tptp.collect_set_nat P) tptp.bot_bot_set_set_nat) (= P tptp.bot_bo8343409700046576086t_bool))))
% 16.06/16.25 (assume a718 (forall ((P tptp.fun_list_nat_bool)) (= (= (tptp.collect_list_nat P) tptp.bot_bot_set_list_nat) (= P tptp.bot_bo6469247547558333820t_bool))))
% 16.06/16.25 (assume a719 (forall ((P tptp.fun_Pr7757163693017731481t_bool)) (= (= (tptp.collec3392354462482085612at_nat P) tptp.bot_bo2099793752762293965at_nat) (= P tptp.bot_bo3782518310583830573t_bool))))
% 16.06/16.25 (assume a720 (forall ((P tptp.fun_bool_bool)) (= (= (tptp.collect_bool P) tptp.bot_bot_set_bool) (= P tptp.bot_bo4756488196683355415l_bool))))
% 16.06/16.25 (assume a721 (forall ((P tptp.fun_nat_bool)) (= (= (tptp.collect_nat P) tptp.bot_bot_set_nat) (= P tptp.bot_bot_fun_nat_bool))))
% 16.06/16.25 (assume a722 (forall ((P tptp.fun_int_bool)) (= (= (tptp.collect_int P) tptp.bot_bot_set_int) (= P tptp.bot_bot_fun_int_bool))))
% 16.06/16.25 (assume a723 (forall ((X tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool tptp.bot_bo8490223647127498926x_bool X)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) tptp.bot_bot_set_complex)))))
% 16.06/16.25 (assume a724 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.bot_bo4181092155253064880l_bool X)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) tptp.bot_bot_set_real)))))
% 16.06/16.25 (assume a725 (forall ((X tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool tptp.bot_bo3782518310583830573t_bool X)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.25 (assume a726 (forall ((X tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool tptp.bot_bo4756488196683355415l_bool X)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X) tptp.bot_bot_set_bool)))))
% 16.06/16.25 (assume a727 (forall ((X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool tptp.bot_bot_fun_nat_bool X)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) tptp.bot_bot_set_nat)))))
% 16.06/16.25 (assume a728 (forall ((X tptp.int)) (= (tptp.pp (tptp.aa_int_bool tptp.bot_bot_fun_int_bool X)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) tptp.bot_bot_set_int)))))
% 16.06/16.25 (assume a729 (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.is_sin2937591304547752795at_nat A4)) (= A4 (tptp.insert9069300056098147895at_nat (tptp.the_el221668144340439132at_nat A4) tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.25 (assume a730 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.is_sin2850979758926227957at_nat A4)) (= A4 (tptp.insert8211810215607154385at_nat (tptp.the_el2281957884133575798at_nat A4) tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.25 (assume a731 (forall ((A4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool tptp.is_singleton_bool A4)) (= A4 (tptp.insert_bool (tptp.aa_set_bool_bool tptp.the_elem_bool A4) tptp.bot_bot_set_bool)))))
% 16.06/16.25 (assume a732 (forall ((A4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.is_singleton_nat A4)) (= A4 (tptp.insert_nat (tptp.aa_set_nat_nat tptp.the_elem_nat A4) tptp.bot_bot_set_nat)))))
% 16.06/16.25 (assume a733 (forall ((A4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool tptp.is_singleton_int A4)) (= A4 (tptp.insert_int (tptp.the_elem_int A4) tptp.bot_bot_set_int)))))
% 16.06/16.25 (assume a734 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid T) D)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) D)))))
% 16.06/16.25 (assume a735 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) D)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid T) D)))))
% 16.06/16.25 (assume a736 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid T) D)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) D)))))
% 16.06/16.25 (assume a737 (and (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)) (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m)) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) tptp.na))))))
% 16.06/16.25 (assume a738 (forall ((X3 tptp.produc3843707927480180839at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.is_sin2937591304547752795at_nat (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.25 (assume a739 (forall ((X3 tptp.product_prod_nat_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.is_sin2850979758926227957at_nat (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.25 (assume a740 (forall ((X3 tptp.bool)) (tptp.pp (tptp.aa_set_bool_bool tptp.is_singleton_bool (tptp.insert_bool X3 tptp.bot_bot_set_bool)))))
% 16.06/16.25 (assume a741 (forall ((X3 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.is_singleton_nat (tptp.insert_nat X3 tptp.bot_bot_set_nat)))))
% 16.06/16.25 (assume a742 (forall ((X3 tptp.int)) (tptp.pp (tptp.aa_set_int_bool tptp.is_singleton_int (tptp.insert_int X3 tptp.bot_bot_set_int)))))
% 16.06/16.25 (assume a743 (forall ((T tptp.vEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T))) (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_13))))))
% 16.06/16.25 (assume a744 (forall ((T tptp.vEBT_VEBT) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X3))))))
% 16.06/16.25 (assume a745 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) Y) Z) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_power (tptp.some_nat X3)) (tptp.some_nat Y)) (tptp.some_nat Z)))))
% 16.06/16.25 (assume a746 (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)))
% 16.06/16.25 (assume a747 (= tptp.vEBT_VEBT_power (tptp.vEBT_V4262088993061758097ft_nat tptp.power_power_nat)))
% 16.06/16.25 (assume a748 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.deg)))
% 16.06/16.25 (assume a749 (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)))
% 16.06/16.25 (assume a750 (not (forall ((TreeList3 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (Info2 tptp.option4927543243414619207at_nat)) (not (and (= tptp.sa (tptp.vEBT_Node Info2 tptp.deg TreeList3 Summary2)) (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)) (= (tptp.size_s6755466524823107622T_VEBT TreeList3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary2) tptp.m)) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList3))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) tptp.na)))))))))
% 16.06/16.25 (assume a751 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat) (Sx tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (= (tptp.vEBT_vebt_succ T X3) (tptp.some_nat Sx)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set (tptp.vEBT_VEBT_set_vebt T)) X3) Sx))))))
% 16.06/16.25 (assume a752 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat) (Sx tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (= (tptp.vEBT_vebt_succ T X3) (tptp.some_nat Sx)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set (tptp.vEBT_set_vebt T)) X3) Sx))))))
% 16.06/16.25 (assume a753 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.deg))))
% 16.06/16.25 (assume a754 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary tptp.vEBT_VEBT) (M2 tptp.nat) (Deg tptp.nat)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X5) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary) M2)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (=> (= M2 N) (=> (= Deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) (=> (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) X_13)))) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 TreeList))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X5) X_13)))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList Summary)) Deg)))))))))))
% 16.06/16.25 (assume a755 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary tptp.vEBT_VEBT) (M2 tptp.nat) (Deg tptp.nat)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X5) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary) M2)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (=> (= M2 (tptp.aa_nat_nat tptp.suc N)) (=> (= Deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) (=> (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) X_13)))) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 TreeList))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X5) X_13)))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList Summary)) Deg)))))))))))
% 16.06/16.25 (assume a756 (forall ((A4 tptp.set_complex)) (=> (not (= A4 tptp.bot_bot_set_complex)) (=> (forall ((X5 tptp.complex) (Y3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y3) A4)) (= X5 Y3)))) (tptp.pp (tptp.aa_set_complex_bool tptp.is_singleton_complex A4))))))
% 16.06/16.25 (assume a757 (forall ((A4 tptp.set_real)) (=> (not (= A4 tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y3) A4)) (= X5 Y3)))) (tptp.pp (tptp.aa_set_real_bool tptp.is_singleton_real A4))))))
% 16.06/16.25 (assume a758 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((X5 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X5) A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Y3) A4)) (= X5 Y3)))) (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.is_sin2850979758926227957at_nat A4))))))
% 16.06/16.25 (assume a759 (forall ((A4 tptp.set_bool)) (=> (not (= A4 tptp.bot_bot_set_bool)) (=> (forall ((X5 tptp.bool) (Y3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Y3) A4)) (= (tptp.pp X5) (tptp.pp Y3))))) (tptp.pp (tptp.aa_set_bool_bool tptp.is_singleton_bool A4))))))
% 16.06/16.25 (assume a760 (forall ((A4 tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y3) A4)) (= X5 Y3)))) (tptp.pp (tptp.aa_set_nat_bool tptp.is_singleton_nat A4))))))
% 16.06/16.25 (assume a761 (forall ((A4 tptp.set_int)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y3) A4)) (= X5 Y3)))) (tptp.pp (tptp.aa_set_int_bool tptp.is_singleton_int A4))))))
% 16.06/16.25 (assume a762 (forall ((F tptp.fun_Pr2477239776880934807at_nat) (A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (= (tptp.vEBT_V1502963449132264192at_nat F (tptp.some_P7363390416028606310at_nat A) (tptp.some_P7363390416028606310at_nat B)) (tptp.some_P7363390416028606310at_nat (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat F A) B)))))
% 16.06/16.25 (assume a763 (forall ((F tptp.fun_num_fun_num_num) (A tptp.num) (B tptp.num)) (= (tptp.vEBT_V819420779217536731ft_num F (tptp.some_num A) (tptp.some_num B)) (tptp.some_num (tptp.aa_num_num (tptp.aa_num_fun_num_num F A) B)))))
% 16.06/16.25 (assume a764 (forall ((F tptp.fun_nat_fun_nat_nat) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat (tptp.vEBT_V4262088993061758097ft_nat F) (tptp.some_nat A)) (tptp.some_nat B)) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F A) B)))))
% 16.06/16.25 (assume a765 (forall ((Uu2 tptp.fun_Pr2477239776880934807at_nat) (Uv2 tptp.option4927543243414619207at_nat)) (= (tptp.vEBT_V1502963449132264192at_nat Uu2 tptp.none_P5556105721700978146at_nat Uv2) tptp.none_P5556105721700978146at_nat)))
% 16.06/16.25 (assume a766 (forall ((Uu2 tptp.fun_num_fun_num_num) (Uv2 tptp.option_num)) (= (tptp.vEBT_V819420779217536731ft_num Uu2 tptp.none_num Uv2) tptp.none_num)))
% 16.06/16.25 (assume a767 (forall ((Uu2 tptp.fun_nat_fun_nat_nat) (Uv2 tptp.option_nat)) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat (tptp.vEBT_V4262088993061758097ft_nat Uu2) tptp.none_nat) Uv2) tptp.none_nat)))
% 16.06/16.25 (assume a768 (forall ((R2 tptp.set_Pr4329608150637261639at_nat) (S tptp.set_Pr4329608150637261639at_nat)) (=> (forall ((X5 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat X5 Y3)) R2)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat X5 Y3)) S)))) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat R2) S)))))
% 16.06/16.25 (assume a769 (forall ((R2 tptp.set_Pr8218934625190621173um_num) (S tptp.set_Pr8218934625190621173um_num)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.member7279096912039735102um_num (tptp.product_Pair_num_num X5 Y3) R2) (tptp.member7279096912039735102um_num (tptp.product_Pair_num_num X5 Y3) S))) (tptp.ord_le880128212290418581um_num R2 S))))
% 16.06/16.25 (assume a770 (forall ((R2 tptp.set_Pr6200539531224447659at_num) (S tptp.set_Pr6200539531224447659at_num)) (=> (forall ((X5 tptp.nat) (Y3 tptp.num)) (=> (tptp.member9148766508732265716at_num (tptp.product_Pair_nat_num X5 Y3) R2) (tptp.member9148766508732265716at_num (tptp.product_Pair_nat_num X5 Y3) S))) (tptp.ord_le8085105155179020875at_num R2 S))))
% 16.06/16.25 (assume a771 (forall ((R2 tptp.set_Pr1261947904930325089at_nat) (S tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3)) R2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3)) S)))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat R2) S)))))
% 16.06/16.25 (assume a772 (forall ((R2 tptp.set_Pr958786334691620121nt_int) (S tptp.set_Pr958786334691620121nt_int)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (=> (tptp.member5262025264175285858nt_int (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X5) Y3) R2) (tptp.member5262025264175285858nt_int (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X5) Y3) S))) (tptp.ord_le2843351958646193337nt_int R2 S))))
% 16.06/16.25 (assume a773 (forall ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2 Uw2)) tptp.none_nat)))
% 16.06/16.25 (assume a774 (forall ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT)) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2 Uw2)) tptp.none_nat)))
% 16.06/16.25 (assume a775 (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.is_sin2937591304547752795at_nat A4)) (not (forall ((X5 tptp.produc3843707927480180839at_nat)) (not (= A4 (tptp.insert9069300056098147895at_nat X5 tptp.bot_bo228742789529271731at_nat))))))))
% 16.06/16.25 (assume a776 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.is_sin2850979758926227957at_nat A4)) (not (forall ((X5 tptp.product_prod_nat_nat)) (not (= A4 (tptp.insert8211810215607154385at_nat X5 tptp.bot_bo2099793752762293965at_nat))))))))
% 16.06/16.25 (assume a777 (forall ((A4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.is_singleton_bool A4)) (not (forall ((X5 tptp.bool)) (not (= A4 (tptp.insert_bool X5 tptp.bot_bot_set_bool))))))))
% 16.06/16.25 (assume a778 (forall ((A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.is_singleton_nat A4)) (not (forall ((X5 tptp.nat)) (not (= A4 (tptp.insert_nat X5 tptp.bot_bot_set_nat))))))))
% 16.06/16.25 (assume a779 (forall ((A4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.is_singleton_int A4)) (not (forall ((X5 tptp.int)) (not (= A4 (tptp.insert_int X5 tptp.bot_bot_set_int))))))))
% 16.06/16.25 (assume a780 (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.is_sin2937591304547752795at_nat A4)) (exists ((X4 tptp.produc3843707927480180839at_nat)) (= A4 (tptp.insert9069300056098147895at_nat X4 tptp.bot_bo228742789529271731at_nat))))))
% 16.06/16.25 (assume a781 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.is_sin2850979758926227957at_nat A4)) (exists ((X4 tptp.product_prod_nat_nat)) (= A4 (tptp.insert8211810215607154385at_nat X4 tptp.bot_bo2099793752762293965at_nat))))))
% 16.06/16.25 (assume a782 (forall ((A4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool tptp.is_singleton_bool A4)) (exists ((X4 tptp.bool)) (= A4 (tptp.insert_bool X4 tptp.bot_bot_set_bool))))))
% 16.06/16.25 (assume a783 (forall ((A4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.is_singleton_nat A4)) (exists ((X4 tptp.nat)) (= A4 (tptp.insert_nat X4 tptp.bot_bot_set_nat))))))
% 16.06/16.25 (assume a784 (forall ((A4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool tptp.is_singleton_int A4)) (exists ((X4 tptp.int)) (= A4 (tptp.insert_int X4 tptp.bot_bot_set_int))))))
% 16.06/16.25 (assume a785 (forall ((Uw2 tptp.fun_Pr2477239776880934807at_nat) (V2 tptp.product_prod_nat_nat)) (= (tptp.vEBT_V1502963449132264192at_nat Uw2 (tptp.some_P7363390416028606310at_nat V2) tptp.none_P5556105721700978146at_nat) tptp.none_P5556105721700978146at_nat)))
% 16.06/16.25 (assume a786 (forall ((Uw2 tptp.fun_num_fun_num_num) (V2 tptp.num)) (= (tptp.vEBT_V819420779217536731ft_num Uw2 (tptp.some_num V2) tptp.none_num) tptp.none_num)))
% 16.06/16.25 (assume a787 (forall ((Uw2 tptp.fun_nat_fun_nat_nat) (V2 tptp.nat)) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat (tptp.vEBT_V4262088993061758097ft_nat Uw2) (tptp.some_nat V2)) tptp.none_nat) tptp.none_nat)))
% 16.06/16.25 (assume a788 (forall ((X3 tptp.fun_Pr2477239776880934807at_nat) (Xa2 tptp.option4927543243414619207at_nat) (Xb tptp.option4927543243414619207at_nat) (Y tptp.option4927543243414619207at_nat)) (=> (= (tptp.vEBT_V1502963449132264192at_nat X3 Xa2 Xb) Y) (=> (=> (= Xa2 tptp.none_P5556105721700978146at_nat) (not (= Y tptp.none_P5556105721700978146at_nat))) (=> (=> (exists ((V tptp.product_prod_nat_nat)) (= Xa2 (tptp.some_P7363390416028606310at_nat V))) (=> (= Xb tptp.none_P5556105721700978146at_nat) (not (= Y tptp.none_P5556105721700978146at_nat)))) (not (forall ((A3 tptp.product_prod_nat_nat)) (=> (= Xa2 (tptp.some_P7363390416028606310at_nat A3)) (forall ((B3 tptp.product_prod_nat_nat)) (=> (= Xb (tptp.some_P7363390416028606310at_nat B3)) (not (= Y (tptp.some_P7363390416028606310at_nat (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat X3 A3) B3))))))))))))))
% 16.06/16.25 (assume a789 (forall ((X3 tptp.fun_num_fun_num_num) (Xa2 tptp.option_num) (Xb tptp.option_num) (Y tptp.option_num)) (=> (= (tptp.vEBT_V819420779217536731ft_num X3 Xa2 Xb) Y) (=> (=> (= Xa2 tptp.none_num) (not (= Y tptp.none_num))) (=> (=> (exists ((V tptp.num)) (= Xa2 (tptp.some_num V))) (=> (= Xb tptp.none_num) (not (= Y tptp.none_num)))) (not (forall ((A3 tptp.num)) (=> (= Xa2 (tptp.some_num A3)) (forall ((B3 tptp.num)) (=> (= Xb (tptp.some_num B3)) (not (= Y (tptp.some_num (tptp.aa_num_num (tptp.aa_num_fun_num_num X3 A3) B3))))))))))))))
% 16.06/16.25 (assume a790 (forall ((X3 tptp.fun_nat_fun_nat_nat) (Xa2 tptp.option_nat) (Xb tptp.option_nat) (Y tptp.option_nat)) (=> (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat (tptp.vEBT_V4262088993061758097ft_nat X3) Xa2) Xb) Y) (=> (=> (= Xa2 tptp.none_nat) (not (= Y tptp.none_nat))) (=> (=> (exists ((V tptp.nat)) (= Xa2 (tptp.some_nat V))) (=> (= Xb tptp.none_nat) (not (= Y tptp.none_nat)))) (not (forall ((A3 tptp.nat)) (=> (= Xa2 (tptp.some_nat A3)) (forall ((B3 tptp.nat)) (=> (= Xb (tptp.some_nat B3)) (not (= Y (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat X3 A3) B3))))))))))))))
% 16.06/16.25 (assume a791 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))))
% 16.06/16.25 (assume a792 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))))
% 16.06/16.25 (assume a793 (forall ((X3 tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (or (= X3 Mi) (= X3 Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary))))))
% 16.06/16.25 (assume a794 (forall ((Deg tptp.nat) (X3 tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.some_nat Mi))))))
% 16.06/16.25 (assume a795 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) Ma)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)))))))
% 16.06/16.25 (assume a796 (forall ((N tptp.num)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.06/16.25 (assume a797 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (M2 tptp.nat)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X5) N)))) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N))))))
% 16.06/16.25 (assume a798 (forall ((X3 tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (= X3 Mi) (= X3 Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList Summary))))))
% 16.06/16.25 (assume a799 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_succ T X3) (tptp.some_nat Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.06/16.25 (assume a800 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.some_nat M2) (tptp.vEBT_vebt_mint T)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.06/16.25 (assume a801 (forall ((Tree tptp.vEBT_VEBT) (X3 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member Tree) X3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Tree) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.06/16.25 (assume a802 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_vebt_delete T X3)) N)))))
% 16.06/16.25 (assume a803 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_vebt_delete T X3)) Y)) (and (not (= X3 Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) Y)))))))
% 16.06/16.25 (assume a804 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_vebt_delete T X3)) Y)) (and (not (= X3 Y)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Y)))))))
% 16.06/16.25 (assume a805 (forall ((M2 tptp.num) (N tptp.num)) (= (= (tptp.numera6690914467698888265omplex M2) (tptp.numera6690914467698888265omplex N)) (= M2 N))))
% 16.06/16.25 (assume a806 (forall ((M2 tptp.num) (N tptp.num)) (= (= (tptp.aa_num_real tptp.numeral_numeral_real M2) (tptp.aa_num_real tptp.numeral_numeral_real N)) (= M2 N))))
% 16.06/16.25 (assume a807 (forall ((M2 tptp.num) (N tptp.num)) (= (= (tptp.aa_num_rat tptp.numeral_numeral_rat M2) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (= M2 N))))
% 16.06/16.25 (assume a808 (forall ((M2 tptp.num) (N tptp.num)) (= (= (tptp.aa_num_nat tptp.numeral_numeral_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (= M2 N))))
% 16.06/16.25 (assume a809 (forall ((M2 tptp.num) (N tptp.num)) (= (= (tptp.aa_num_int tptp.numeral_numeral_int M2) (tptp.aa_num_int tptp.numeral_numeral_int N)) (= M2 N))))
% 16.06/16.25 (assume a810 (forall ((T tptp.vEBT_VEBT) (X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set (tptp.vEBT_VEBT_set_vebt T)) X3) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (forall ((Z3 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Z3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Z3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z3))))))))
% 16.06/16.25 (assume a811 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_vebt_insert T X3)) N))))))
% 16.06/16.25 (assume a812 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N)))))
% 16.06/16.25 (assume a813 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N)))))
% 16.06/16.25 (assume a814 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N)))))
% 16.06/16.25 (assume a815 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N)))))
% 16.06/16.25 (assume a816 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)))))
% 16.06/16.25 (assume a817 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)))))
% 16.06/16.25 (assume a818 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)))))
% 16.06/16.25 (assume a819 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)))))
% 16.06/16.25 (assume a820 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 16.06/16.25 (assume a821 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)))))
% 16.06/16.25 (assume a822 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)))))
% 16.06/16.25 (assume a823 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)))))
% 16.06/16.25 (assume a824 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.plus_plus_real C) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 16.06/16.25 (assume a825 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)))))
% 16.06/16.25 (assume a826 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)))))
% 16.06/16.25 (assume a827 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)))))
% 16.06/16.25 (assume a828 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.25 (assume a829 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.25 (assume a830 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc N)))))
% 16.06/16.25 (assume a831 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_vebt_insert T X3)) X3))))))
% 16.06/16.25 (assume a832 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_vebt_insert T Y)) X3))))))))
% 16.06/16.25 (assume a833 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.25 (assume a834 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_vebt_insert T X3)) Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Y)) (= X3 Y))))))))
% 16.06/16.25 (assume a835 (forall ((X3 tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X3))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary))))))
% 16.06/16.25 (assume a836 (forall ((N tptp.num)) (= (= tptp.one_one_complex (tptp.numera6690914467698888265omplex N)) (= tptp.one N))))
% 16.06/16.25 (assume a837 (forall ((N tptp.num)) (= (= tptp.one_one_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (= tptp.one N))))
% 16.06/16.25 (assume a838 (forall ((N tptp.num)) (= (= tptp.one_one_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (= tptp.one N))))
% 16.06/16.25 (assume a839 (forall ((N tptp.num)) (= (= tptp.one_one_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (= tptp.one N))))
% 16.06/16.25 (assume a840 (forall ((N tptp.num)) (= (= tptp.one_one_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (= tptp.one N))))
% 16.06/16.25 (assume a841 (forall ((N tptp.num)) (= (= (tptp.numera6690914467698888265omplex N) tptp.one_one_complex) (= N tptp.one))))
% 16.06/16.25 (assume a842 (forall ((N tptp.num)) (= (= (tptp.aa_num_real tptp.numeral_numeral_real N) tptp.one_one_real) (= N tptp.one))))
% 16.06/16.25 (assume a843 (forall ((N tptp.num)) (= (= (tptp.aa_num_rat tptp.numeral_numeral_rat N) tptp.one_one_rat) (= N tptp.one))))
% 16.06/16.25 (assume a844 (forall ((N tptp.num)) (= (= (tptp.aa_num_nat tptp.numeral_numeral_nat N) tptp.one_one_nat) (= N tptp.one))))
% 16.06/16.25 (assume a845 (forall ((N tptp.num)) (= (= (tptp.aa_num_int tptp.numeral_numeral_int N) tptp.one_one_int) (= N tptp.one))))
% 16.06/16.25 (assume a846 (forall ((V2 tptp.num) (W tptp.num) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex V2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex W)) Z)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V2) W))) Z))))
% 16.06/16.25 (assume a847 (forall ((V2 tptp.num) (W tptp.num) (Z tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) Z)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V2) W))) Z))))
% 16.06/16.25 (assume a848 (forall ((V2 tptp.num) (W tptp.num) (Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V2) W))) Z))))
% 16.06/16.25 (assume a849 (forall ((V2 tptp.num) (W tptp.num) (Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V2) W))) Z))))
% 16.06/16.25 (assume a850 (forall ((V2 tptp.num) (W tptp.num) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int W)) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V2) W))) Z))))
% 16.06/16.25 (assume a851 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex M2)) (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.25 (assume a852 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.25 (assume a853 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.25 (assume a854 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.25 (assume a855 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.25 (assume a856 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.one_one_real)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) tptp.one)))))
% 16.06/16.25 (assume a857 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) tptp.one_one_rat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) tptp.one)))))
% 16.06/16.25 (assume a858 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) tptp.one_one_nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) tptp.one)))))
% 16.06/16.25 (assume a859 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.one_one_int)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) tptp.one)))))
% 16.06/16.25 (assume a860 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) N)))))
% 16.06/16.25 (assume a861 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) N)))))
% 16.06/16.25 (assume a862 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) N)))))
% 16.06/16.25 (assume a863 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) N)))))
% 16.06/16.25 (assume a864 (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.25 (assume a865 (= (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.25 (assume a866 (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.25 (assume a867 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.25 (assume a868 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.25 (assume a869 (= (tptp.aa_nat_nat tptp.suc tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.25 (assume a870 (forall ((N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.06/16.25 (assume a871 (forall ((N tptp.num)) (= (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.06/16.25 (assume a872 (forall ((N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.06/16.25 (assume a873 (forall ((N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.06/16.25 (assume a874 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.06/16.25 (assume a875 (forall ((N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex N)) tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.06/16.25 (assume a876 (forall ((N tptp.num)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.06/16.25 (assume a877 (forall ((N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.06/16.25 (assume a878 (forall ((N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.06/16.25 (assume a879 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.06/16.25 (assume a880 (forall ((T tptp.vEBT_VEBT) (X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_pred_in_set (tptp.vEBT_VEBT_set_vebt T)) X3) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3)) (forall ((Z3 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Z3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z3) Y))))))))
% 16.06/16.25 (assume a881 (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m))) (= (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList2 I2)) X_12))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions tptp.summary2) I2))))))
% 16.06/16.25 (assume a882 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.one_one_real)))))
% 16.06/16.25 (assume a883 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) tptp.one_one_rat)))))
% 16.06/16.25 (assume a884 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) tptp.one_one_nat)))))
% 16.06/16.25 (assume a885 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.one_one_int)))))
% 16.06/16.25 (assume a886 (forall ((X3 tptp.real)) (exists ((Y3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y3) X3)))))
% 16.06/16.25 (assume a887 (forall ((X3 tptp.rat)) (exists ((Y3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y3) X3)))))
% 16.06/16.25 (assume a888 (forall ((X3 tptp.int)) (exists ((Y3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y3) X3)))))
% 16.06/16.25 (assume a889 (forall ((X3 tptp.real)) (exists ((X_13 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) X_13)))))
% 16.06/16.25 (assume a890 (forall ((X3 tptp.rat)) (exists ((X_13 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) X_13)))))
% 16.06/16.25 (assume a891 (forall ((X3 tptp.nat)) (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) X_13)))))
% 16.06/16.25 (assume a892 (forall ((X3 tptp.int)) (exists ((X_13 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) X_13)))))
% 16.06/16.25 (assume a893 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (exists ((Z2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) Y)))))))
% 16.06/16.25 (assume a894 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (exists ((Z2 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Z2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) Y)))))))
% 16.06/16.25 (assume a895 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (not (= X3 Y)))))
% 16.06/16.25 (assume a896 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (not (= X3 Y)))))
% 16.06/16.25 (assume a897 (forall ((X3 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (not (= X3 Y)))))
% 16.06/16.25 (assume a898 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (not (= X3 Y)))))
% 16.06/16.25 (assume a899 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (not (= X3 Y)))))
% 16.06/16.25 (assume a900 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A))))))
% 16.06/16.25 (assume a901 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A))))))
% 16.06/16.25 (assume a902 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A))))))
% 16.06/16.25 (assume a903 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A))))))
% 16.06/16.25 (assume a904 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A))))))
% 16.06/16.25 (assume a905 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (= A B) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 16.06/16.25 (assume a906 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (= A B) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 16.06/16.25 (assume a907 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (= A B) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 16.06/16.25 (assume a908 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (= A B) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 16.06/16.25 (assume a909 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (= A B) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 16.06/16.25 (assume a910 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (= B C) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 16.06/16.25 (assume a911 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (= B C) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 16.06/16.25 (assume a912 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (=> (= B C) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 16.06/16.25 (assume a913 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (= B C) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 16.06/16.25 (assume a914 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (= B C) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 16.06/16.25 (assume a915 (forall ((P tptp.fun_nat_bool) (A tptp.nat)) (=> (forall ((X5 tptp.nat)) (=> (forall ((Y5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y5) X5)) (tptp.pp (tptp.aa_nat_bool P Y5)))) (tptp.pp (tptp.aa_nat_bool P X5)))) (tptp.pp (tptp.aa_nat_bool P A)))))
% 16.06/16.25 (assume a916 (forall ((Y tptp.real) (X3 tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3))) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y))) (= X3 Y)))))
% 16.06/16.25 (assume a917 (forall ((Y tptp.rat) (X3 tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X3))) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y))) (= X3 Y)))))
% 16.06/16.25 (assume a918 (forall ((Y tptp.num) (X3 tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X3))) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y))) (= X3 Y)))))
% 16.06/16.25 (assume a919 (forall ((Y tptp.nat) (X3 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3))) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))) (= X3 Y)))))
% 16.06/16.25 (assume a920 (forall ((Y tptp.int) (X3 tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X3))) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y))) (= X3 Y)))))
% 16.06/16.25 (assume a921 (forall ((X3 tptp.real) (Y tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y))) (=> (not (= X3 Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3))))))
% 16.06/16.25 (assume a922 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y))) (=> (not (= X3 Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X3))))))
% 16.06/16.25 (assume a923 (forall ((X3 tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y))) (=> (not (= X3 Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X3))))))
% 16.06/16.25 (assume a924 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))) (=> (not (= X3 Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3))))))
% 16.06/16.25 (assume a925 (forall ((X3 tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y))) (=> (not (= X3 Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X3))))))
% 16.06/16.25 (assume a926 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 16.06/16.25 (assume a927 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 16.06/16.25 (assume a928 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B))))))
% 16.06/16.25 (assume a929 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))))))
% 16.06/16.25 (assume a930 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))))))
% 16.06/16.25 (assume a931 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) A)))))
% 16.06/16.25 (assume a932 (forall ((A tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) A)))))
% 16.06/16.25 (assume a933 (forall ((A tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) A)))))
% 16.06/16.25 (assume a934 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) A)))))
% 16.06/16.25 (assume a935 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) A)))))
% 16.06/16.25 (assume a936 (forall ((P tptp.fun_nat_bool)) (= (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_12))) (exists ((N4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool P N4)) (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N4)) (not (tptp.pp (tptp.aa_nat_bool P M5))))))))))
% 16.06/16.25 (assume a937 (forall ((P tptp.fun_re1255401033344146673l_bool) (A tptp.real) (B tptp.real)) (=> (forall ((A3 tptp.real) (B3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A3) B3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A3) B3)))) (=> (forall ((A3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A3) A3))) (=> (forall ((A3 tptp.real) (B3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P B3) A3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A3) B3)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A) B)))))))
% 16.06/16.25 (assume a938 (forall ((P tptp.fun_rat_fun_rat_bool) (A tptp.rat) (B tptp.rat)) (=> (forall ((A3 tptp.rat) (B3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A3) B3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A3) B3)))) (=> (forall ((A3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A3) A3))) (=> (forall ((A3 tptp.rat) (B3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P B3) A3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A3) B3)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A) B)))))))
% 16.06/16.25 (assume a939 (forall ((P tptp.fun_num_fun_num_bool) (A tptp.num) (B tptp.num)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A3) B3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A3) B3)))) (=> (forall ((A3 tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A3) A3))) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P B3) A3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A3) B3)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A) B)))))))
% 16.06/16.25 (assume a940 (forall ((P tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B tptp.nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A3) B3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) B3)))) (=> (forall ((A3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) A3))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P B3) A3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) B3)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A) B)))))))
% 16.06/16.25 (assume a941 (forall ((P tptp.fun_int_fun_int_bool) (A tptp.int) (B tptp.int)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A3) B3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A3) B3)))) (=> (forall ((A3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A3) A3))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P B3) A3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A3) B3)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A) B)))))))
% 16.06/16.25 (assume a942 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 16.06/16.25 (assume a943 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 16.06/16.25 (assume a944 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 16.06/16.25 (assume a945 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 16.06/16.25 (assume a946 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 16.06/16.25 (assume a947 (forall ((X3 tptp.real) (Y tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y))) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3)) (= X3 Y)))))
% 16.06/16.25 (assume a948 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y))) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X3)) (= X3 Y)))))
% 16.06/16.25 (assume a949 (forall ((X3 tptp.num) (Y tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y))) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X3)) (= X3 Y)))))
% 16.06/16.25 (assume a950 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3)) (= X3 Y)))))
% 16.06/16.25 (assume a951 (forall ((X3 tptp.int) (Y tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X3)) (= X3 Y)))))
% 16.06/16.25 (assume a952 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) A))))))
% 16.06/16.25 (assume a953 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) A))))))
% 16.06/16.25 (assume a954 (forall ((B tptp.num) (A tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) A))))))
% 16.06/16.25 (assume a955 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) A))))))
% 16.06/16.25 (assume a956 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) A))))))
% 16.06/16.25 (assume a957 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (not (= A B)))))
% 16.06/16.25 (assume a958 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (not (= A B)))))
% 16.06/16.25 (assume a959 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (not (= A B)))))
% 16.06/16.25 (assume a960 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (not (= A B)))))
% 16.06/16.25 (assume a961 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (not (= A B)))))
% 16.06/16.25 (assume a962 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (not (= A B)))))
% 16.06/16.25 (assume a963 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (not (= A B)))))
% 16.06/16.25 (assume a964 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (not (= A B)))))
% 16.06/16.25 (assume a965 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (not (= A B)))))
% 16.06/16.25 (assume a966 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (not (= A B)))))
% 16.06/16.25 (assume a967 (forall ((X3 tptp.real) (Y tptp.real)) (=> (not (= X3 Y)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3))))))
% 16.06/16.25 (assume a968 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (not (= X3 Y)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X3))))))
% 16.06/16.25 (assume a969 (forall ((X3 tptp.num) (Y tptp.num)) (=> (not (= X3 Y)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X3))))))
% 16.06/16.25 (assume a970 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (not (= X3 Y)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3))))))
% 16.06/16.25 (assume a971 (forall ((X3 tptp.int) (Y tptp.int)) (=> (not (= X3 Y)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X3))))))
% 16.06/16.25 (assume a972 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3))))))
% 16.06/16.25 (assume a973 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X3))))))
% 16.06/16.25 (assume a974 (forall ((X3 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X3))))))
% 16.06/16.25 (assume a975 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3))))))
% 16.06/16.25 (assume a976 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X3))))))
% 16.06/16.25 (assume a977 (forall ((X3 tptp.real) (Y tptp.real)) (= (not (= X3 Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3))))))
% 16.06/16.25 (assume a978 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (not (= X3 Y)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X3))))))
% 16.06/16.25 (assume a979 (forall ((X3 tptp.num) (Y tptp.num)) (= (not (= X3 Y)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X3))))))
% 16.06/16.25 (assume a980 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (not (= X3 Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3))))))
% 16.06/16.25 (assume a981 (forall ((X3 tptp.int) (Y tptp.int)) (= (not (= X3 Y)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X3))))))
% 16.06/16.25 (assume a982 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A))))))
% 16.06/16.25 (assume a983 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A))))))
% 16.06/16.25 (assume a984 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A))))))
% 16.06/16.25 (assume a985 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A))))))
% 16.06/16.25 (assume a986 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A))))))
% 16.06/16.25 (assume a987 (forall ((X3 tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Z))))))
% 16.06/16.25 (assume a988 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Z))))))
% 16.06/16.25 (assume a989 (forall ((X3 tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Z))))))
% 16.06/16.25 (assume a990 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Z))))))
% 16.06/16.25 (assume a991 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Z))))))
% 16.06/16.25 (assume a992 (forall ((A tptp.real) (F tptp.fun_real_real) (B tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_real F B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X5)) (tptp.aa_real_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F C))))))))
% 16.06/16.25 (assume a993 (forall ((A tptp.rat) (F tptp.fun_real_rat) (B tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_rat F B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X5)) (tptp.aa_real_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_real_rat F C))))))))
% 16.06/16.25 (assume a994 (forall ((A tptp.num) (F tptp.fun_real_num) (B tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_num F B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F X5)) (tptp.aa_real_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_real_num F C))))))))
% 16.06/16.25 (assume a995 (forall ((A tptp.nat) (F tptp.fun_real_nat) (B tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_nat F B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F X5)) (tptp.aa_real_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_real_nat F C))))))))
% 16.06/16.25 (assume a996 (forall ((A tptp.int) (F tptp.fun_real_int) (B tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_int F B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F X5)) (tptp.aa_real_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_real_int F C))))))))
% 16.06/16.25 (assume a997 (forall ((A tptp.real) (F tptp.fun_rat_real) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_real F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X5)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F C))))))))
% 16.06/16.25 (assume a998 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_rat F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X5)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F C))))))))
% 16.06/16.25 (assume a999 (forall ((A tptp.num) (F tptp.fun_rat_num) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_num F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F X5)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_rat_num F C))))))))
% 16.06/16.25 (assume a1000 (forall ((A tptp.nat) (F tptp.fun_rat_nat) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_nat F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F X5)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_rat_nat F C))))))))
% 16.06/16.25 (assume a1001 (forall ((A tptp.int) (F tptp.fun_rat_int) (B tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_int F B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F X5)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_rat_int F C))))))))
% 16.06/16.25 (assume a1002 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (= (tptp.aa_real_real F B) C) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X5)) (tptp.aa_real_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) C)))))))
% 16.06/16.25 (assume a1003 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (= (tptp.aa_real_rat F B) C) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X5)) (tptp.aa_real_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F A)) C)))))))
% 16.06/16.25 (assume a1004 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (= (tptp.aa_real_num F B) C) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F X5)) (tptp.aa_real_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F A)) C)))))))
% 16.06/16.25 (assume a1005 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (= (tptp.aa_real_nat F B) C) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F X5)) (tptp.aa_real_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F A)) C)))))))
% 16.06/16.25 (assume a1006 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (= (tptp.aa_real_int F B) C) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F X5)) (tptp.aa_real_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F A)) C)))))))
% 16.06/16.25 (assume a1007 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (= (tptp.aa_rat_real F B) C) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X5)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F A)) C)))))))
% 16.06/16.25 (assume a1008 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (= (tptp.aa_rat_rat F B) C) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X5)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F A)) C)))))))
% 16.06/16.25 (assume a1009 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (= (tptp.aa_rat_num F B) C) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F X5)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F A)) C)))))))
% 16.06/16.25 (assume a1010 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (= (tptp.aa_rat_nat F B) C) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F X5)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F A)) C)))))))
% 16.06/16.25 (assume a1011 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (= (tptp.aa_rat_int F B) C) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F X5)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F A)) C)))))))
% 16.06/16.25 (assume a1012 (forall ((X3 tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) X3)))))
% 16.06/16.25 (assume a1013 (forall ((X3 tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) X3)))))
% 16.06/16.25 (assume a1014 (forall ((X3 tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) X3)))))
% 16.06/16.25 (assume a1015 (forall ((X3 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) X3)))))
% 16.06/16.25 (assume a1016 (forall ((X3 tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) X3)))))
% 16.06/16.25 (assume a1017 (forall ((A tptp.real) (F tptp.fun_real_real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X5)) (tptp.aa_real_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F C))))))))
% 16.06/16.25 (assume a1018 (forall ((A tptp.real) (F tptp.fun_rat_real) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X5)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F C))))))))
% 16.06/16.25 (assume a1019 (forall ((A tptp.real) (F tptp.fun_num_real) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F X5)) (tptp.aa_num_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F C))))))))
% 16.06/16.25 (assume a1020 (forall ((A tptp.real) (F tptp.fun_nat_real) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_nat_real F B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F X5)) (tptp.aa_nat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_nat_real F C))))))))
% 16.06/16.25 (assume a1021 (forall ((A tptp.real) (F tptp.fun_int_real) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_int_real F B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X5)) (tptp.aa_int_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_int_real F C))))))))
% 16.06/16.25 (assume a1022 (forall ((A tptp.rat) (F tptp.fun_real_rat) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_real_rat F B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X5)) (tptp.aa_real_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_real_rat F C))))))))
% 16.06/16.25 (assume a1023 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X5)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F C))))))))
% 16.06/16.25 (assume a1024 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F X5)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F C))))))))
% 16.06/16.25 (assume a1025 (forall ((A tptp.rat) (F tptp.fun_nat_rat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_nat_rat F B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X5)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_nat_rat F C))))))))
% 16.06/16.25 (assume a1026 (forall ((A tptp.rat) (F tptp.fun_int_rat) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_int_rat F B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X5)) (tptp.aa_int_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_int_rat F C))))))))
% 16.06/16.25 (assume a1027 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F B)) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X5)) (tptp.aa_real_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) C)))))))
% 16.06/16.25 (assume a1028 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F B)) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X5)) (tptp.aa_real_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F A)) C)))))))
% 16.06/16.25 (assume a1029 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F B)) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F X5)) (tptp.aa_real_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F A)) C)))))))
% 16.06/16.25 (assume a1030 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F B)) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F X5)) (tptp.aa_real_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F A)) C)))))))
% 16.06/16.25 (assume a1031 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F B)) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F X5)) (tptp.aa_real_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F A)) C)))))))
% 16.06/16.25 (assume a1032 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X5)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F A)) C)))))))
% 16.06/16.25 (assume a1033 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X5)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F A)) C)))))))
% 16.06/16.25 (assume a1034 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F X5)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F A)) C)))))))
% 16.06/16.25 (assume a1035 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F X5)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F A)) C)))))))
% 16.06/16.25 (assume a1036 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F X5)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F A)) C)))))))
% 16.06/16.25 (assume a1037 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3))))))
% 16.06/16.25 (assume a1038 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X3))))))
% 16.06/16.25 (assume a1039 (forall ((X3 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X3))))))
% 16.06/16.25 (assume a1040 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3))))))
% 16.06/16.25 (assume a1041 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X3))))))
% 16.06/16.25 (assume a1042 (forall ((X3 tptp.real) (Y tptp.real) (P tptp.bool)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3)) (tptp.pp P)))))
% 16.06/16.25 (assume a1043 (forall ((X3 tptp.rat) (Y tptp.rat) (P tptp.bool)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X3)) (tptp.pp P)))))
% 16.06/16.25 (assume a1044 (forall ((X3 tptp.num) (Y tptp.num) (P tptp.bool)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X3)) (tptp.pp P)))))
% 16.06/16.25 (assume a1045 (forall ((X3 tptp.nat) (Y tptp.nat) (P tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3)) (tptp.pp P)))))
% 16.06/16.25 (assume a1046 (forall ((X3 tptp.int) (Y tptp.int) (P tptp.bool)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X3)) (tptp.pp P)))))
% 16.06/16.25 (assume a1047 (forall ((X3 tptp.real) (Y tptp.real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (= X3 Y) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3)))))
% 16.06/16.25 (assume a1048 (forall ((X3 tptp.rat) (Y tptp.rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (= X3 Y) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X3)))))
% 16.06/16.25 (assume a1049 (forall ((X3 tptp.num) (Y tptp.num)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (= X3 Y) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X3)))))
% 16.06/16.25 (assume a1050 (forall ((X3 tptp.nat) (Y tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (= X3 Y) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3)))))
% 16.06/16.25 (assume a1051 (forall ((X3 tptp.int) (Y tptp.int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (= X3 Y) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X3)))))
% 16.06/16.25 (assume a1052 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (not (= X3 Y)))))
% 16.06/16.25 (assume a1053 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (not (= X3 Y)))))
% 16.06/16.25 (assume a1054 (forall ((X3 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (not (= X3 Y)))))
% 16.06/16.25 (assume a1055 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (not (= X3 Y)))))
% 16.06/16.25 (assume a1056 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (not (= X3 Y)))))
% 16.06/16.25 (assume a1057 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (not (= Y X3)))))
% 16.06/16.25 (assume a1058 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (not (= Y X3)))))
% 16.06/16.25 (assume a1059 (forall ((X3 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (not (= Y X3)))))
% 16.06/16.25 (assume a1060 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (not (= Y X3)))))
% 16.06/16.25 (assume a1061 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (not (= Y X3)))))
% 16.06/16.25 (assume a1062 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3))))))
% 16.06/16.25 (assume a1063 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X3))))))
% 16.06/16.25 (assume a1064 (forall ((X3 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X3))))))
% 16.06/16.25 (assume a1065 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3))))))
% 16.06/16.25 (assume a1066 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X3))))))
% 16.06/16.25 (assume a1067 (forall ((M2 tptp.nat) (N tptp.nat)) (= (not (= M2 N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))))))
% 16.06/16.25 (assume a1068 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N)))))
% 16.06/16.25 (assume a1069 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)) (not (= M2 N)))))
% 16.06/16.25 (assume a1070 (forall ((S tptp.nat) (T tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat S) T)) (not (= S T)))))
% 16.06/16.25 (assume a1071 (forall ((X3 tptp.complex)) (= (= tptp.one_one_complex X3) (= X3 tptp.one_one_complex))))
% 16.06/16.25 (assume a1072 (forall ((X3 tptp.real)) (= (= tptp.one_one_real X3) (= X3 tptp.one_one_real))))
% 16.06/16.25 (assume a1073 (forall ((X3 tptp.rat)) (= (= tptp.one_one_rat X3) (= X3 tptp.one_one_rat))))
% 16.06/16.25 (assume a1074 (forall ((X3 tptp.nat)) (= (= tptp.one_one_nat X3) (= X3 tptp.one_one_nat))))
% 16.06/16.25 (assume a1075 (forall ((X3 tptp.int)) (= (= tptp.one_one_int X3) (= X3 tptp.one_one_int))))
% 16.06/16.25 (assume a1076 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N)))))
% 16.06/16.25 (assume a1077 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((N2 tptp.nat)) (=> (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N2)) (tptp.pp (tptp.aa_nat_bool P M3)))) (tptp.pp (tptp.aa_nat_bool P N2)))) (tptp.pp (tptp.aa_nat_bool P N)))))
% 16.06/16.25 (assume a1078 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((N2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool P N2))) (exists ((M3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N2)) (not (tptp.pp (tptp.aa_nat_bool P M3))))))) (tptp.pp (tptp.aa_nat_bool P N)))))
% 16.06/16.25 (assume a1079 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (not (= X3 Y)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3))))))
% 16.06/16.25 (assume a1080 (forall ((F tptp.fun_nat_real) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N)) (tptp.aa_nat_real F N3)))))))
% 16.06/16.25 (assume a1081 (forall ((F tptp.fun_nat_rat) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F N2)) (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F N)) (tptp.aa_nat_rat F N3)))))))
% 16.06/16.25 (assume a1082 (forall ((F tptp.fun_nat_num) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N2)) (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N)) (tptp.aa_nat_num F N3)))))))
% 16.06/16.25 (assume a1083 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N2)) (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N)) (tptp.aa_nat_nat F N3)))))))
% 16.06/16.25 (assume a1084 (forall ((F tptp.fun_nat_int) (N tptp.nat) (N3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N2)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N)) (tptp.aa_nat_int F N3)))))))
% 16.06/16.25 (assume a1085 (forall ((F tptp.fun_nat_real) (N tptp.nat) (M2 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N2))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N)) (tptp.aa_nat_real F M2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))))))
% 16.06/16.25 (assume a1086 (forall ((F tptp.fun_nat_rat) (N tptp.nat) (M2 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F N2)) (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N2))))) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F N)) (tptp.aa_nat_rat F M2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))))))
% 16.06/16.25 (assume a1087 (forall ((F tptp.fun_nat_num) (N tptp.nat) (M2 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N2)) (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N2))))) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N)) (tptp.aa_nat_num F M2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))))))
% 16.06/16.25 (assume a1088 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (M2 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N2)) (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N2))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N)) (tptp.aa_nat_nat F M2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))))))
% 16.06/16.25 (assume a1089 (forall ((F tptp.fun_nat_int) (N tptp.nat) (M2 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N2)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N2))))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N)) (tptp.aa_nat_int F M2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))))))
% 16.06/16.25 (assume a1090 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) tptp.one_one_real)))
% 16.06/16.25 (assume a1091 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) tptp.one_one_rat)))
% 16.06/16.25 (assume a1092 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) tptp.one_one_nat)))
% 16.06/16.25 (assume a1093 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) tptp.one_one_int)))
% 16.06/16.25 (assume a1094 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1095 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1096 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1097 (forall ((X3 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1098 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1099 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1100 (forall ((X3 tptp.real) (Y tptp.real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3)))))
% 16.06/16.25 (assume a1101 (forall ((X3 tptp.rat) (Y tptp.rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X3)))))
% 16.06/16.25 (assume a1102 (forall ((X3 tptp.num) (Y tptp.num)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X3)))))
% 16.06/16.25 (assume a1103 (forall ((X3 tptp.nat) (Y tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3)))))
% 16.06/16.25 (assume a1104 (forall ((X3 tptp.int) (Y tptp.int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X3)))))
% 16.06/16.25 (assume a1105 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F B)) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X5)) (tptp.aa_real_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) C)))))))
% 16.06/16.25 (assume a1106 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_rat_real F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X5)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F A)) C)))))))
% 16.06/16.25 (assume a1107 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real F B)) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F X5)) (tptp.aa_num_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F A)) C)))))))
% 16.06/16.25 (assume a1108 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_nat_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F B)) C)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F X5)) (tptp.aa_nat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F A)) C)))))))
% 16.06/16.25 (assume a1109 (forall ((A tptp.int) (B tptp.int) (F tptp.fun_int_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F B)) C)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X5)) (tptp.aa_int_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F A)) C)))))))
% 16.06/16.25 (assume a1110 (forall ((A tptp.real) (B tptp.real) (F tptp.fun_real_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F B)) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X5)) (tptp.aa_real_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F A)) C)))))))
% 16.06/16.25 (assume a1111 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X5)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F A)) C)))))))
% 16.06/16.25 (assume a1112 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F B)) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F X5)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F A)) C)))))))
% 16.06/16.25 (assume a1113 (forall ((A tptp.nat) (B tptp.nat) (F tptp.fun_nat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F B)) C)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X5)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F A)) C)))))))
% 16.06/16.25 (assume a1114 (forall ((A tptp.int) (B tptp.int) (F tptp.fun_int_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F B)) C)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X5)) (tptp.aa_int_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F A)) C)))))))
% 16.06/16.25 (assume a1115 (forall ((A tptp.real) (F tptp.fun_rat_real) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_rat_real F X5)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F C))))))))
% 16.06/16.25 (assume a1116 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X5)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F C))))))))
% 16.06/16.25 (assume a1117 (forall ((A tptp.num) (F tptp.fun_rat_num) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_rat_num F B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X5)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_rat_num F C))))))))
% 16.06/16.25 (assume a1118 (forall ((A tptp.nat) (F tptp.fun_rat_nat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_rat_nat F B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X5)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_rat_nat F C))))))))
% 16.06/16.25 (assume a1119 (forall ((A tptp.int) (F tptp.fun_rat_int) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_rat_int F B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X5)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_rat_int F C))))))))
% 16.06/16.25 (assume a1120 (forall ((A tptp.real) (F tptp.fun_num_real) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real F X5)) (tptp.aa_num_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F C))))))))
% 16.06/16.25 (assume a1121 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X5)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F C))))))))
% 16.06/16.25 (assume a1122 (forall ((A tptp.num) (F tptp.fun_num_num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_num_num F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X5)) (tptp.aa_num_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_num_num F C))))))))
% 16.06/16.25 (assume a1123 (forall ((A tptp.nat) (F tptp.fun_num_nat) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_num_nat F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X5)) (tptp.aa_num_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_num_nat F C))))))))
% 16.06/16.25 (assume a1124 (forall ((A tptp.int) (F tptp.fun_num_int) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_num_int F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X5)) (tptp.aa_num_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_num_int F C))))))))
% 16.06/16.25 (assume a1125 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_rat_real F X5)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F A)) C)))))))
% 16.06/16.25 (assume a1126 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X5)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F A)) C)))))))
% 16.06/16.25 (assume a1127 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X5)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F A)) C)))))))
% 16.06/16.25 (assume a1128 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X5)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F A)) C)))))))
% 16.06/16.25 (assume a1129 (forall ((A tptp.rat) (B tptp.rat) (F tptp.fun_rat_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F B)) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X5)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F A)) C)))))))
% 16.06/16.25 (assume a1130 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F B)) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real F X5)) (tptp.aa_num_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F A)) C)))))))
% 16.06/16.25 (assume a1131 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F B)) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X5)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F A)) C)))))))
% 16.06/16.25 (assume a1132 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num F B)) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X5)) (tptp.aa_num_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num F A)) C)))))))
% 16.06/16.25 (assume a1133 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat F B)) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X5)) (tptp.aa_num_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat F A)) C)))))))
% 16.06/16.25 (assume a1134 (forall ((A tptp.num) (B tptp.num) (F tptp.fun_num_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int F B)) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X5)) (tptp.aa_num_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int F A)) C)))))))
% 16.06/16.25 (assume a1135 (forall ((A tptp.real) (F tptp.fun_real_real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real F B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X5)) (tptp.aa_real_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F C))))))))
% 16.06/16.25 (assume a1136 (forall ((A tptp.real) (F tptp.fun_rat_real) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_rat_real F B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X5)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F C))))))))
% 16.06/16.25 (assume a1137 (forall ((A tptp.real) (F tptp.fun_num_real) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_num_real F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F X5)) (tptp.aa_num_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F C))))))))
% 16.06/16.25 (assume a1138 (forall ((A tptp.real) (F tptp.fun_nat_real) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_nat_real F B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F X5)) (tptp.aa_nat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_nat_real F C))))))))
% 16.06/16.25 (assume a1139 (forall ((A tptp.real) (F tptp.fun_int_real) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_int_real F B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X5) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X5)) (tptp.aa_int_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_int_real F C))))))))
% 16.06/16.25 (assume a1140 (forall ((A tptp.rat) (F tptp.fun_real_rat) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_real_rat F B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (=> (forall ((X5 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X5)) (tptp.aa_real_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_real_rat F C))))))))
% 16.06/16.25 (assume a1141 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat F B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X5)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F C))))))))
% 16.06/16.25 (assume a1142 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_num_rat F B))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (=> (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F X5)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F C))))))))
% 16.06/16.25 (assume a1143 (forall ((A tptp.rat) (F tptp.fun_nat_rat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_nat_rat F B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X5)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_nat_rat F C))))))))
% 16.06/16.25 (assume a1144 (forall ((A tptp.rat) (F tptp.fun_int_rat) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_int_rat F B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X5) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X5)) (tptp.aa_int_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_int_rat F C))))))))
% 16.06/16.25 (assume a1145 (forall ((X3 tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Z))))))
% 16.06/16.25 (assume a1146 (forall ((X3 tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X3) Y)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) Z)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X3) Z))))))
% 16.06/16.25 (assume a1147 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Z))))))
% 16.06/16.25 (assume a1148 (forall ((X3 tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Z))))))
% 16.06/16.25 (assume a1149 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Z))))))
% 16.06/16.25 (assume a1150 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Z))))))
% 16.06/16.25 (assume a1151 (forall ((X3 tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Z))))))
% 16.06/16.25 (assume a1152 (forall ((X3 tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat Y) Z)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X3) Z))))))
% 16.06/16.25 (assume a1153 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Z))))))
% 16.06/16.25 (assume a1154 (forall ((X3 tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Z))))))
% 16.06/16.25 (assume a1155 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Z))))))
% 16.06/16.25 (assume a1156 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Z))))))
% 16.06/16.25 (assume a1157 (forall ((A tptp.real) (B tptp.real)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 16.06/16.25 (assume a1158 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B))))))
% 16.06/16.25 (assume a1159 (forall ((A tptp.rat) (B tptp.rat)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 16.06/16.25 (assume a1160 (forall ((A tptp.num) (B tptp.num)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B))))))
% 16.06/16.25 (assume a1161 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))))))
% 16.06/16.25 (assume a1162 (forall ((A tptp.int) (B tptp.int)) (=> (not (= A B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))))))
% 16.06/16.25 (assume a1163 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 16.06/16.25 (assume a1164 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B))))))
% 16.06/16.25 (assume a1165 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 16.06/16.25 (assume a1166 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B))))))
% 16.06/16.25 (assume a1167 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))))))
% 16.06/16.25 (assume a1168 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (not (= A B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))))))
% 16.06/16.25 (assume a1169 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)))))
% 16.06/16.25 (assume a1170 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X3) Y)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)))))
% 16.06/16.25 (assume a1171 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)))))
% 16.06/16.25 (assume a1172 (forall ((X3 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)))))
% 16.06/16.25 (assume a1173 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)))))
% 16.06/16.25 (assume a1174 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)))))
% 16.06/16.25 (assume a1175 (forall ((X3 tptp.real) (Y tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X3)))))
% 16.06/16.25 (assume a1176 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)))))
% 16.06/16.25 (assume a1177 (forall ((X3 tptp.num) (Y tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3)))))
% 16.06/16.25 (assume a1178 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)))))
% 16.06/16.25 (assume a1179 (forall ((X3 tptp.int) (Y tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)))))
% 16.06/16.25 (assume a1180 (forall ((X3 tptp.real) (Y tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3)))))
% 16.06/16.25 (assume a1181 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X3)))))
% 16.06/16.25 (assume a1182 (forall ((X3 tptp.num) (Y tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X3)))))
% 16.06/16.25 (assume a1183 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3)))))
% 16.06/16.25 (assume a1184 (forall ((X3 tptp.int) (Y tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X3)))))
% 16.06/16.25 (assume a1185 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)) (not (= X3 Y))))))
% 16.06/16.25 (assume a1186 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X3) Y)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (not (= X3 Y))))))
% 16.06/16.25 (assume a1187 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (not (= X3 Y))))))
% 16.06/16.25 (assume a1188 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (not (= X3 Y))))))
% 16.06/16.25 (assume a1189 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (not (= X3 Y))))))
% 16.06/16.25 (assume a1190 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (not (= X3 Y))))))
% 16.06/16.25 (assume a1191 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1192 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1193 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1194 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1195 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1196 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1197 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)))))
% 16.06/16.25 (assume a1198 (forall ((B tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)))))
% 16.06/16.25 (assume a1199 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))
% 16.06/16.25 (assume a1200 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)))))
% 16.06/16.25 (assume a1201 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)))))
% 16.06/16.25 (assume a1202 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)))))
% 16.06/16.25 (assume a1203 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 16.06/16.25 (assume a1204 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)))))
% 16.06/16.25 (assume a1205 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 16.06/16.25 (assume a1206 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)))))
% 16.06/16.25 (assume a1207 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))
% 16.06/16.25 (assume a1208 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 16.06/16.25 (assume a1209 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))))
% 16.06/16.25 (assume a1210 (forall ((B tptp.set_nat) (A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) A)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)))))))
% 16.06/16.25 (assume a1211 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))))
% 16.06/16.25 (assume a1212 (forall ((B tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)))))))
% 16.06/16.25 (assume a1213 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))))
% 16.06/16.25 (assume a1214 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))))
% 16.06/16.25 (assume a1215 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) A))))))
% 16.06/16.25 (assume a1216 (forall ((B tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) A)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat C) A))))))
% 16.06/16.25 (assume a1217 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) A))))))
% 16.06/16.25 (assume a1218 (forall ((B tptp.num) (A tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) A))))))
% 16.06/16.25 (assume a1219 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) A))))))
% 16.06/16.25 (assume a1220 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) A))))))
% 16.06/16.25 (assume a1221 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) A))))))
% 16.06/16.25 (assume a1222 (forall ((B tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat C) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat C) A))))))
% 16.06/16.25 (assume a1223 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) A))))))
% 16.06/16.25 (assume a1224 (forall ((B tptp.num) (A tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) A))))))
% 16.06/16.25 (assume a1225 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) A))))))
% 16.06/16.25 (assume a1226 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) A))))))
% 16.06/16.25 (assume a1227 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (not (= A B))))))
% 16.06/16.25 (assume a1228 (forall ((B tptp.set_nat) (A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) A)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (not (= A B))))))
% 16.06/16.25 (assume a1229 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (not (= A B))))))
% 16.06/16.25 (assume a1230 (forall ((B tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (not (= A B))))))
% 16.06/16.25 (assume a1231 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (not (= A B))))))
% 16.06/16.25 (assume a1232 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (not (= A B))))))
% 16.06/16.25 (assume a1233 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (= A B)))))
% 16.06/16.25 (assume a1234 (forall ((B tptp.set_nat) (A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) A)) (= A B)))))
% 16.06/16.25 (assume a1235 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (= A B)))))
% 16.06/16.25 (assume a1236 (forall ((B tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (= A B)))))
% 16.06/16.25 (assume a1237 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (= A B)))))
% 16.06/16.25 (assume a1238 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (= A B)))))
% 16.06/16.25 (assume a1239 (forall ((X3 tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (=> (forall ((W2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) W2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real W2) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real W2) Z))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z))))))
% 16.06/16.25 (assume a1240 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (=> (forall ((W2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) W2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat W2) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat W2) Z))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z))))))
% 16.06/16.25 (assume a1241 (forall ((Z tptp.real) (X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) X3)) (=> (forall ((W2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) W2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real W2) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) W2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z))))))
% 16.06/16.25 (assume a1242 (forall ((Z tptp.rat) (X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) X3)) (=> (forall ((W2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) W2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat W2) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) W2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z))))))
% 16.06/16.25 (assume a1243 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)))))))
% 16.06/16.25 (assume a1244 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)))))))
% 16.06/16.25 (assume a1245 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))))
% 16.06/16.25 (assume a1246 (forall ((A tptp.num) (B tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)))))))
% 16.06/16.25 (assume a1247 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)))))))
% 16.06/16.25 (assume a1248 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)))))))
% 16.06/16.25 (assume a1249 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 16.06/16.25 (assume a1250 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) C)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) C))))))
% 16.06/16.25 (assume a1251 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 16.06/16.25 (assume a1252 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 16.06/16.25 (assume a1253 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 16.06/16.25 (assume a1254 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 16.06/16.25 (assume a1255 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 16.06/16.25 (assume a1256 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) C)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) C))))))
% 16.06/16.25 (assume a1257 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 16.06/16.25 (assume a1258 (forall ((A tptp.num) (B tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 16.06/16.25 (assume a1259 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 16.06/16.25 (assume a1260 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 16.06/16.25 (assume a1261 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (not (= A B))))))
% 16.06/16.25 (assume a1262 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (not (= A B))))))
% 16.06/16.25 (assume a1263 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (not (= A B))))))
% 16.06/16.25 (assume a1264 (forall ((A tptp.num) (B tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (not (= A B))))))
% 16.06/16.25 (assume a1265 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (not (= A B))))))
% 16.06/16.25 (assume a1266 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (not (= A B))))))
% 16.06/16.25 (assume a1267 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (= A B)))))
% 16.06/16.25 (assume a1268 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B)) (= A B)))))
% 16.06/16.25 (assume a1269 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (= A B)))))
% 16.06/16.25 (assume a1270 (forall ((A tptp.num) (B tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)) (= A B)))))
% 16.06/16.25 (assume a1271 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (= A B)))))
% 16.06/16.25 (assume a1272 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (= A B)))))
% 16.06/16.25 (assume a1273 (forall ((Y tptp.real) (X3 tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)))))
% 16.06/16.25 (assume a1274 (forall ((Y tptp.rat) (X3 tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)))))
% 16.06/16.25 (assume a1275 (forall ((Y tptp.num) (X3 tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)))))
% 16.06/16.25 (assume a1276 (forall ((Y tptp.nat) (X3 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)))))
% 16.06/16.25 (assume a1277 (forall ((Y tptp.int) (X3 tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)))))
% 16.06/16.25 (assume a1278 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X3)))))))
% 16.06/16.25 (assume a1279 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X3) Y)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X3)))))))
% 16.06/16.25 (assume a1280 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)))))))
% 16.06/16.25 (assume a1281 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3)))))))
% 16.06/16.25 (assume a1282 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)))))))
% 16.06/16.25 (assume a1283 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)))))))
% 16.06/16.25 (assume a1284 (forall ((Y tptp.real) (Z tptp.real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X5) Z)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z)))))
% 16.06/16.25 (assume a1285 (forall ((Y tptp.rat) (Z tptp.rat)) (=> (forall ((X5 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Z)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)))))
% 16.06/16.25 (assume a1286 (forall ((Z tptp.real) (Y tptp.real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) X5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X5)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z)))))
% 16.06/16.25 (assume a1287 (forall ((Z tptp.rat) (Y tptp.rat)) (=> (forall ((X5 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) X5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X5)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)))))
% 16.06/16.25 (assume a1288 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y))) (= X3 Y)))))
% 16.06/16.25 (assume a1289 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (= (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X3) Y))) (= X3 Y)))))
% 16.06/16.25 (assume a1290 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y))) (= X3 Y)))))
% 16.06/16.25 (assume a1291 (forall ((X3 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y))) (= X3 Y)))))
% 16.06/16.25 (assume a1292 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))) (= X3 Y)))))
% 16.06/16.25 (assume a1293 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y))) (= X3 Y)))))
% 16.06/16.25 (assume a1294 (forall ((X3 tptp.real) (Y tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1295 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X3) Y))) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1296 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y))) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1297 (forall ((X3 tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y))) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1298 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1299 (forall ((X3 tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (= X3 Y)))))
% 16.06/16.25 (assume a1300 (forall ((A tptp.real) (B tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))) (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))) (= A B)))))
% 16.06/16.25 (assume a1301 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) B))) (or (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))) (= A B)))))
% 16.06/16.25 (assume a1302 (forall ((A tptp.rat) (B tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))) (or (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (= A B)))))
% 16.06/16.25 (assume a1303 (forall ((A tptp.num) (B tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B))) (or (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))) (= A B)))))
% 16.06/16.25 (assume a1304 (forall ((A tptp.nat) (B tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))) (= A B)))))
% 16.06/16.25 (assume a1305 (forall ((A tptp.int) (B tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))) (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))) (= A B)))))
% 16.06/16.25 (assume a1306 (forall ((X3 tptp.real) (Y tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X3)))))
% 16.06/16.25 (assume a1307 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)))))
% 16.06/16.26 (assume a1308 (forall ((X3 tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3)))))
% 16.06/16.26 (assume a1309 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)))))
% 16.06/16.26 (assume a1310 (forall ((X3 tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)))))
% 16.06/16.26 (assume a1311 (forall ((Y tptp.real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X3)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y))))))
% 16.06/16.26 (assume a1312 (forall ((Y tptp.set_nat) (X3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X3)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat X3) Y))))))
% 16.06/16.26 (assume a1313 (forall ((Y tptp.rat) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y))))))
% 16.06/16.26 (assume a1314 (forall ((Y tptp.num) (X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y))))))
% 16.06/16.26 (assume a1315 (forall ((Y tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))))))
% 16.06/16.26 (assume a1316 (forall ((Y tptp.int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y))))))
% 16.06/16.26 (assume a1317 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 16.06/16.26 (assume a1318 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)))))
% 16.06/16.26 (assume a1319 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)))))
% 16.06/16.26 (assume a1320 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)))))
% 16.06/16.26 (assume a1321 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.plus_plus_real C) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 16.06/16.26 (assume a1322 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)))))
% 16.06/16.26 (assume a1323 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)))))
% 16.06/16.26 (assume a1324 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)))))
% 16.06/16.26 (assume a1325 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real B) C))))))
% 16.06/16.26 (assume a1326 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C))))))
% 16.06/16.26 (assume a1327 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C))))))
% 16.06/16.26 (assume a1328 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C))))))
% 16.06/16.26 (assume a1329 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.plus_plus_real C) B))))))
% 16.06/16.26 (assume a1330 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B))))))
% 16.06/16.26 (assume a1331 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B))))))
% 16.06/16.26 (assume a1332 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B))))))
% 16.06/16.26 (assume a1333 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real B) D)))))))
% 16.06/16.26 (assume a1334 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) D)))))))
% 16.06/16.26 (assume a1335 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) D)))))))
% 16.06/16.26 (assume a1336 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) D)))))))
% 16.06/16.26 (assume a1337 (forall ((I tptp.real) (J tptp.real) (K2 tptp.real) (L tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real I) J)) (= K2 L)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real I) K2)) (tptp.aa_real_real (tptp.plus_plus_real J) L))))))
% 16.06/16.26 (assume a1338 (forall ((I tptp.rat) (J tptp.rat) (K2 tptp.rat) (L tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat I) J)) (= K2 L)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 16.06/16.26 (assume a1339 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat) (L tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (= K2 L)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.06/16.26 (assume a1340 (forall ((I tptp.int) (J tptp.int) (K2 tptp.int) (L tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) J)) (= K2 L)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.06/16.26 (assume a1341 (forall ((I tptp.real) (J tptp.real) (K2 tptp.real) (L tptp.real)) (=> (and (= I J) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real K2) L))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real I) K2)) (tptp.aa_real_real (tptp.plus_plus_real J) L))))))
% 16.06/16.26 (assume a1342 (forall ((I tptp.rat) (J tptp.rat) (K2 tptp.rat) (L tptp.rat)) (=> (and (= I J) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat K2) L))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 16.06/16.26 (assume a1343 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat) (L tptp.nat)) (=> (and (= I J) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) L))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.06/16.26 (assume a1344 (forall ((I tptp.int) (J tptp.int) (K2 tptp.int) (L tptp.int)) (=> (and (= I J) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.06/16.26 (assume a1345 (forall ((I tptp.real) (J tptp.real) (K2 tptp.real) (L tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real I) J)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real K2) L))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real I) K2)) (tptp.aa_real_real (tptp.plus_plus_real J) L))))))
% 16.06/16.26 (assume a1346 (forall ((I tptp.rat) (J tptp.rat) (K2 tptp.rat) (L tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat I) J)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat K2) L))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 16.06/16.26 (assume a1347 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat) (L tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) L))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.06/16.26 (assume a1348 (forall ((I tptp.int) (J tptp.int) (K2 tptp.int) (L tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) J)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.06/16.26 (assume a1349 (forall ((A tptp.set_Pr1261947904930325089at_nat)) (= (not (= A tptp.bot_bo2099793752762293965at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le7866589430770878221at_nat tptp.bot_bo2099793752762293965at_nat) A)))))
% 16.06/16.26 (assume a1350 (forall ((A tptp.set_bool)) (= (not (= A tptp.bot_bot_set_bool)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_set_bool tptp.bot_bot_set_bool) A)))))
% 16.06/16.26 (assume a1351 (forall ((A tptp.set_nat)) (= (not (= A tptp.bot_bot_set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat tptp.bot_bot_set_nat) A)))))
% 16.06/16.26 (assume a1352 (forall ((A tptp.set_int)) (= (not (= A tptp.bot_bot_set_int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int tptp.bot_bot_set_int) A)))))
% 16.06/16.26 (assume a1353 (forall ((A tptp.nat)) (= (not (= A tptp.bot_bot_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.bot_bot_nat) A)))))
% 16.06/16.26 (assume a1354 (forall ((A tptp.set_Pr1261947904930325089at_nat)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le7866589430770878221at_nat A) tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.26 (assume a1355 (forall ((A tptp.set_bool)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_set_bool A) tptp.bot_bot_set_bool)))))
% 16.06/16.26 (assume a1356 (forall ((A tptp.set_nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A) tptp.bot_bot_set_nat)))))
% 16.06/16.26 (assume a1357 (forall ((A tptp.set_int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A) tptp.bot_bot_set_int)))))
% 16.06/16.26 (assume a1358 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.bot_bot_nat)))))
% 16.06/16.26 (assume a1359 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc M2))) (= N M2)))))
% 16.06/16.26 (assume a1360 (forall ((I tptp.nat) (J tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (=> (forall ((I3 tptp.nat)) (=> (= J (tptp.aa_nat_nat tptp.suc I3)) (tptp.pp (tptp.aa_nat_bool P I3)))) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) J)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc I3))) (tptp.pp (tptp.aa_nat_bool P I3))))) (tptp.pp (tptp.aa_nat_bool P I)))))))
% 16.06/16.26 (assume a1361 (forall ((I tptp.nat) (J tptp.nat) (P tptp.fun_nat_fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (=> (forall ((I3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I3) (tptp.aa_nat_nat tptp.suc I3)))) (=> (forall ((I3 tptp.nat) (J2 tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) J2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J2) K)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I3) J2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P J2) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I3) K))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I) J)))))))
% 16.06/16.26 (assume a1362 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc I)) K2))))))
% 16.06/16.26 (assume a1363 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.26 (assume a1364 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc M2))) (= M2 N)))))
% 16.06/16.26 (assume a1365 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2)) (exists ((M6 tptp.nat)) (and (= M2 (tptp.aa_nat_nat tptp.suc M6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M6)))))))
% 16.06/16.26 (assume a1366 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool P I4)))) (and (tptp.pp (tptp.aa_nat_bool P N)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) N)) (tptp.pp (tptp.aa_nat_bool P I4))))))))
% 16.06/16.26 (assume a1367 (forall ((M2 tptp.nat) (N tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc M2))))))
% 16.06/16.26 (assume a1368 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat tptp.suc N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (= M2 N)))))
% 16.06/16.26 (assume a1369 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool P I4)))) (or (tptp.pp (tptp.aa_nat_bool P N)) (exists ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) N)) (tptp.pp (tptp.aa_nat_bool P I4))))))))
% 16.06/16.26 (assume a1370 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.26 (assume a1371 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat tptp.suc N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))) (= M2 N)))))
% 16.06/16.26 (assume a1372 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (=> (not (= (tptp.aa_nat_nat tptp.suc M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc M2)) N))))))
% 16.06/16.26 (assume a1373 (forall ((I tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc I)) K2)) (not (forall ((J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J2)) (not (= K2 (tptp.aa_nat_nat tptp.suc J2)))))))))
% 16.06/16.26 (assume a1374 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc M2)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.26 (assume a1375 (forall ((I tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) K2)) (=> (not (= K2 (tptp.aa_nat_nat tptp.suc I))) (not (forall ((J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J2)) (not (= K2 (tptp.aa_nat_nat tptp.suc J2))))))))))
% 16.06/16.26 (assume a1376 (forall ((F tptp.fun_nat_nat) (I tptp.nat) (J tptp.nat)) (=> (forall ((I3 tptp.nat) (J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) J2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F I3)) (tptp.aa_nat_nat F J2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F I)) (tptp.aa_nat_nat F J)))))))
% 16.06/16.26 (assume a1377 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (=> (not (= M2 N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))))))
% 16.06/16.26 (assume a1378 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (= M2 N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.26 (assume a1379 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (= M2 N)))))
% 16.06/16.26 (assume a1380 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.26 (assume a1381 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (not (= M2 N))))))
% 16.06/16.26 (assume a1382 (forall ((K2 tptp.nat) (L tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) L)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) L) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))))))
% 16.06/16.26 (assume a1383 (forall ((I tptp.nat) (J tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) J))))))
% 16.06/16.26 (assume a1384 (forall ((I tptp.nat) (J tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) M2))))))
% 16.06/16.26 (assume a1385 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K2))))))
% 16.06/16.26 (assume a1386 (forall ((J tptp.nat) (I tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) I)) I)))))
% 16.06/16.26 (assume a1387 (forall ((I tptp.nat) (J tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J)) I)))))
% 16.06/16.26 (assume a1388 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) L)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L)))))))
% 16.06/16.26 (assume a1389 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J)) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) K2)))))
% 16.06/16.26 (assume a1390 (forall ((N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 16.06/16.26 (assume a1391 (forall ((N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 16.06/16.26 (assume a1392 (forall ((N tptp.num)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 16.06/16.26 (assume a1393 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.26 (assume a1394 (forall ((X3 tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.numera6690914467698888265omplex X3)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex X3)) tptp.one_one_complex))))
% 16.06/16.26 (assume a1395 (forall ((X3 tptp.num)) (= (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real X3)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) tptp.one_one_real))))
% 16.06/16.26 (assume a1396 (forall ((X3 tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) tptp.one_one_rat))))
% 16.06/16.26 (assume a1397 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) tptp.one_one_nat))))
% 16.06/16.26 (assume a1398 (forall ((X3 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) tptp.one_one_int))))
% 16.06/16.26 (assume a1399 (= (tptp.numera6690914467698888265omplex tptp.one) tptp.one_one_complex))
% 16.06/16.26 (assume a1400 (= (tptp.aa_num_real tptp.numeral_numeral_real tptp.one) tptp.one_one_real))
% 16.06/16.26 (assume a1401 (= (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one) tptp.one_one_rat))
% 16.06/16.26 (assume a1402 (= (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one) tptp.one_one_nat))
% 16.06/16.26 (assume a1403 (= (tptp.aa_num_int tptp.numeral_numeral_int tptp.one) tptp.one_one_int))
% 16.06/16.26 (assume a1404 (= (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one) tptp.one_one_nat))
% 16.06/16.26 (assume a1405 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real B) D)))))))
% 16.06/16.26 (assume a1406 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) D)))))))
% 16.06/16.26 (assume a1407 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) D)))))))
% 16.06/16.26 (assume a1408 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) D)))))))
% 16.06/16.26 (assume a1409 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real B) D)))))))
% 16.06/16.26 (assume a1410 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) D)))))))
% 16.06/16.26 (assume a1411 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) D)))))))
% 16.06/16.26 (assume a1412 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) D)))))))
% 16.06/16.26 (assume a1413 (forall ((I tptp.real) (J tptp.real) (K2 tptp.real) (L tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real I) J)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real K2) L))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real I) K2)) (tptp.aa_real_real (tptp.plus_plus_real J) L))))))
% 16.06/16.26 (assume a1414 (forall ((I tptp.rat) (J tptp.rat) (K2 tptp.rat) (L tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat I) J)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat K2) L))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 16.06/16.26 (assume a1415 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat) (L tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) L))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.06/16.26 (assume a1416 (forall ((I tptp.int) (J tptp.int) (K2 tptp.int) (L tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) J)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K2) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.06/16.26 (assume a1417 (forall ((I tptp.real) (J tptp.real) (K2 tptp.real) (L tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I) J)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real K2) L))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real I) K2)) (tptp.aa_real_real (tptp.plus_plus_real J) L))))))
% 16.06/16.26 (assume a1418 (forall ((I tptp.rat) (J tptp.rat) (K2 tptp.rat) (L tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat I) J)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat K2) L))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 16.06/16.26 (assume a1419 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat) (L tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) L))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 16.06/16.26 (assume a1420 (forall ((I tptp.int) (J tptp.int) (K2 tptp.int) (L tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 16.06/16.26 (assume a1421 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.26 (assume a1422 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc N)) M2)))))
% 16.06/16.26 (assume a1423 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.26 (assume a1424 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc M2))) (= N M2)))))
% 16.06/16.26 (assume a1425 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc M2)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.26 (assume a1426 (forall ((I tptp.nat) (J tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool P J)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N2) J)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2))) (tptp.pp (tptp.aa_nat_bool P N2)))))) (tptp.pp (tptp.aa_nat_bool P I)))))))
% 16.06/16.26 (assume a1427 (forall ((I tptp.nat) (J tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool P I)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N2) J)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2))))))) (tptp.pp (tptp.aa_nat_bool P J)))))))
% 16.06/16.26 (assume a1428 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc M2)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.26 (assume a1429 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc M2)) N)))))
% 16.06/16.26 (assume a1430 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (exists ((K tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K)))))))
% 16.06/16.26 (assume a1431 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (exists ((K3 tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K3)))))))
% 16.06/16.26 (assume a1432 (forall ((I tptp.nat) (M2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) I))))))
% 16.06/16.26 (assume a1433 (forall ((I tptp.nat) (M2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) M2))))))
% 16.06/16.26 (assume a1434 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (not (forall ((Q2 tptp.nat)) (not (= N (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) Q2)))))))))
% 16.06/16.26 (assume a1435 (forall ((F tptp.fun_nat_nat) (M2 tptp.nat) (K2 tptp.nat)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F M)) (tptp.aa_nat_nat F N2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat F M2)) K2)) (tptp.aa_nat_nat F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K2)))))))
% 16.06/16.26 (assume a1436 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) N))))
% 16.06/16.26 (assume a1437 (= (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) tptp.suc))
% 16.06/16.26 (assume a1438 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))
% 16.06/16.26 (assume a1439 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.26 (assume a1440 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) C) (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real (tptp.plus_plus_real B) C)))))
% 16.06/16.26 (assume a1441 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C)))))
% 16.06/16.26 (assume a1442 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C)))))
% 16.06/16.26 (assume a1443 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one))))
% 16.06/16.26 (assume a1444 (forall ((X3 tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) tptp.one)) (= X3 tptp.one))))
% 16.06/16.26 (assume a1445 (forall ((N tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex N)))))
% 16.06/16.26 (assume a1446 (forall ((N tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 16.06/16.26 (assume a1447 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 16.06/16.26 (assume a1448 (forall ((N tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 16.06/16.26 (assume a1449 (forall ((N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.26 (assume a1450 (forall ((V2 tptp.num) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V2) tptp.one))) N))))
% 16.06/16.26 (assume a1451 (forall ((Deg tptp.nat) (Ma tptp.nat) (X3 tptp.nat) (Mi tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X3)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.some_nat Ma))))))
% 16.06/16.26 (assume a1452 (forall ((B tptp.real) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real B) X3)) (tptp.aa_nat_real (tptp.power_power_real B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y))))))
% 16.06/16.26 (assume a1453 (forall ((B tptp.rat) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) B)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat B) X3)) (tptp.aa_nat_rat (tptp.power_power_rat B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y))))))
% 16.06/16.26 (assume a1454 (forall ((B tptp.nat) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) B)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y))))))
% 16.06/16.26 (assume a1455 (forall ((B tptp.int) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) B)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int B) X3)) (tptp.aa_nat_int (tptp.power_power_int B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y))))))
% 16.06/16.26 (assume a1456 (forall ((Y tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_greater (tptp.some_nat X3)) (tptp.some_nat Y))))))
% 16.06/16.26 (assume a1457 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_less (tptp.some_nat X3)) (tptp.some_nat Y))))))
% 16.06/16.26 (assume a1458 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_pred T X3) (tptp.some_nat Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.06/16.26 (assume a1459 (forall ((B tptp.real) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real B) X3)) (tptp.aa_nat_real (tptp.power_power_real B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))))))
% 16.06/16.26 (assume a1460 (forall ((B tptp.rat) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) B)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat B) X3)) (tptp.aa_nat_rat (tptp.power_power_rat B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))))))
% 16.06/16.26 (assume a1461 (forall ((B tptp.nat) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) B)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))))))
% 16.06/16.26 (assume a1462 (forall ((B tptp.int) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) B)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B) X3)) (tptp.aa_nat_int (tptp.power_power_int B) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))))))
% 16.06/16.26 (assume a1463 (forall ((Deg tptp.nat) (X3 tptp.nat) (Info tptp.option4927543243414619207at_nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) X3)) (= (tptp.vEBT_VEBT_insert (tptp.vEBT_Node Info Deg TreeList Summary) X3) (tptp.vEBT_Node Info Deg TreeList Summary))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) X3))) (= (tptp.vEBT_VEBT_insert (tptp.vEBT_Node Info Deg TreeList Summary) X3) (tptp.vEBT_vebt_insert (tptp.vEBT_Node Info Deg TreeList Summary) X3))))))
% 16.06/16.26 (assume a1464 (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m))) (= (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList I2)) X_12))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions tptp.summary) I2))))))
% 16.06/16.26 (assume a1465 (forall ((I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m))) (= (tptp.vEBT_VEBT_set_vebt (tptp.nth_VEBT_VEBT tptp.treeList2 I)) (tptp.vEBT_VEBT_set_vebt (tptp.nth_VEBT_VEBT tptp.treeList I))))))
% 16.06/16.26 (assume a1466 (forall ((I tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m))) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT tptp.treeList2 I)) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT tptp.treeList I)) X3))))))
% 16.06/16.26 (assume a1467 (forall ((B tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K2)) (exists ((N2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N2)) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) tptp.one_one_nat))))))))))
% 16.06/16.26 (assume a1468 (forall ((Xs tptp.list_complex) (P tptp.fun_complex_bool) (N tptp.nat)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.set_complex2 Xs))) (tptp.pp (tptp.aa_complex_bool P X5)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3451745648224563538omplex Xs))) (tptp.pp (tptp.aa_complex_bool P (tptp.aa_nat_complex (tptp.nth_complex Xs) N)))))))
% 16.06/16.26 (assume a1469 (forall ((Xs tptp.list_real) (P tptp.fun_real_bool) (N tptp.nat)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.set_real2 Xs))) (tptp.pp (tptp.aa_real_bool P X5)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_real Xs))) (tptp.pp (tptp.aa_real_bool P (tptp.aa_nat_real (tptp.nth_real Xs) N)))))))
% 16.06/16.26 (assume a1470 (forall ((Xs tptp.list_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool) (N tptp.nat)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X5)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s6755466524823107622T_VEBT Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT Xs N)))))))
% 16.06/16.26 (assume a1471 (forall ((Xs tptp.list_bool) (P tptp.fun_bool_bool) (N tptp.nat)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.set_bool2 Xs))) (tptp.pp (tptp.aa_bool_bool P X5)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_bool Xs))) (tptp.pp (tptp.aa_bool_bool P (tptp.aa_nat_bool (tptp.nth_bool Xs) N)))))))
% 16.06/16.26 (assume a1472 (forall ((Xs tptp.list_nat) (P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_nat_bool P X5)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_nat Xs))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat Xs) N)))))))
% 16.06/16.26 (assume a1473 (forall ((Xs tptp.list_int) (P tptp.fun_int_bool) (N tptp.nat)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_int_bool P X5)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_int Xs))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int Xs) N)))))))
% 16.06/16.26 (assume a1474 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (=> (not (= A4 B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) B4))))))
% 16.06/16.26 (assume a1475 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat) (Px tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (= (tptp.vEBT_vebt_pred T X3) (tptp.some_nat Px)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_pred_in_set (tptp.vEBT_VEBT_set_vebt T)) X3) Px))))))
% 16.06/16.26 (assume a1476 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat) (Sx tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (= (tptp.vEBT_vebt_pred T X3) (tptp.some_nat Sx)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_pred_in_set (tptp.vEBT_set_vebt T)) X3) Sx))))))
% 16.06/16.26 (assume a1477 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.one_one_rat) N) tptp.one_one_rat)))
% 16.06/16.26 (assume a1478 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.one_one_nat) N) tptp.one_one_nat)))
% 16.06/16.26 (assume a1479 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real tptp.one_one_real) N) tptp.one_one_real)))
% 16.06/16.26 (assume a1480 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int tptp.one_one_int) N) tptp.one_one_int)))
% 16.06/16.26 (assume a1481 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.one_one_complex) N) tptp.one_one_complex)))
% 16.06/16.26 (assume a1482 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) tptp.one_one_nat) A)))
% 16.06/16.26 (assume a1483 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real A) tptp.one_one_nat) A)))
% 16.06/16.26 (assume a1484 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) tptp.one_one_nat) A)))
% 16.06/16.26 (assume a1485 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) tptp.one_one_nat) A)))
% 16.06/16.26 (assume a1486 (forall ((A tptp.real) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (= (= (tptp.aa_nat_real (tptp.power_power_real A) M2) (tptp.aa_nat_real (tptp.power_power_real A) N)) (= M2 N)))))
% 16.06/16.26 (assume a1487 (forall ((A tptp.rat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat A) M2) (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (= M2 N)))))
% 16.06/16.26 (assume a1488 (forall ((A tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (= M2 N)))))
% 16.06/16.26 (assume a1489 (forall ((A tptp.int) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (= (= (tptp.aa_nat_int (tptp.power_power_int A) M2) (tptp.aa_nat_int (tptp.power_power_int A) N)) (= M2 N)))))
% 16.06/16.26 (assume a1490 (forall ((I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m))) (= (tptp.nth_VEBT_VEBT tptp.treeList2 I) (tptp.nth_VEBT_VEBT tptp.treeList I)))))
% 16.06/16.26 (assume a1491 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le7866589430770878221at_nat A4) tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.26 (assume a1492 (forall ((A4 tptp.set_bool)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_set_bool A4) tptp.bot_bot_set_bool)))))
% 16.06/16.26 (assume a1493 (forall ((A4 tptp.set_nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) tptp.bot_bot_set_nat)))))
% 16.06/16.26 (assume a1494 (forall ((A4 tptp.set_int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A4) tptp.bot_bot_set_int)))))
% 16.06/16.26 (assume a1495 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) B4)) (not (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)))))))
% 16.06/16.26 (assume a1496 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) B4)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (not (= A4 B4))))))
% 16.06/16.26 (assume a1497 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)))))
% 16.06/16.26 (assume a1498 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) C2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) C2))))))
% 16.06/16.26 (assume a1499 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) B4)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)))))))
% 16.06/16.26 (assume a1500 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B4) C2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) C2))))))
% 16.06/16.26 (assume a1501 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) B4)) (= A4 B4)))))
% 16.06/16.26 (assume a1502 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real A) N))))))
% 16.06/16.26 (assume a1503 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))
% 16.06/16.26 (assume a1504 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))
% 16.06/16.26 (assume a1505 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 16.06/16.26 (assume a1506 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)))))))
% 16.06/16.26 (assume a1507 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N)))))))
% 16.06/16.26 (assume a1508 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N)))))))
% 16.06/16.26 (assume a1509 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N)))))))
% 16.06/16.26 (assume a1510 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real A) N5)))))))
% 16.06/16.26 (assume a1511 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat A) N5)))))))
% 16.06/16.26 (assume a1512 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N5)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N5)))))))
% 16.06/16.26 (assume a1513 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N5)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int A) N5)))))))
% 16.06/16.26 (assume a1514 (forall ((A tptp.real) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) M2)) (tptp.aa_nat_real (tptp.power_power_real A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))))))
% 16.06/16.26 (assume a1515 (forall ((A tptp.rat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) M2)) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))))))
% 16.06/16.26 (assume a1516 (forall ((A tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))))))
% 16.06/16.26 (assume a1517 (forall ((A tptp.int) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) M2)) (tptp.aa_nat_int (tptp.power_power_int A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))))))
% 16.06/16.26 (assume a1518 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real A) N5)))))))
% 16.06/16.26 (assume a1519 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat A) N5)))))))
% 16.06/16.26 (assume a1520 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N5)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N5)))))))
% 16.06/16.26 (assume a1521 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N5)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int A) N5)))))))
% 16.06/16.26 (assume a1522 (forall ((A tptp.real) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) M2)) (tptp.aa_nat_real (tptp.power_power_real A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))))))
% 16.06/16.26 (assume a1523 (forall ((A tptp.rat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) M2)) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))))))
% 16.06/16.26 (assume a1524 (forall ((A tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))))))
% 16.06/16.26 (assume a1525 (forall ((A tptp.int) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) M2)) (tptp.aa_nat_int (tptp.power_power_int A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))))))
% 16.06/16.26 (assume a1526 (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.one_one_rat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_rat))
% 16.06/16.26 (assume a1527 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))
% 16.06/16.26 (assume a1528 (= (tptp.aa_nat_real (tptp.power_power_real tptp.one_one_real) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_real))
% 16.06/16.26 (assume a1529 (= (tptp.aa_nat_int (tptp.power_power_int tptp.one_one_int) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 16.06/16.26 (assume a1530 (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.one_one_complex) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_complex))
% 16.06/16.26 (assume a1531 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.26 (assume a1532 (forall ((K2 tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat K2) M2))))))
% 16.06/16.26 (assume a1533 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.26 (assume a1534 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.26 (assume a1535 (forall ((B tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) K2)) (exists ((N2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N2)) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) tptp.one_one_nat))))))))))
% 16.06/16.26 (assume a1536 (forall ((N tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) (tptp.aa_num_num tptp.bit0 N)))))
% 16.06/16.26 (assume a1537 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit0 M2)) tptp.one)))))
% 16.06/16.26 (assume a1538 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.vEBT_set_vebt T)) (tptp.insert_nat X3 tptp.bot_bot_set_nat)) (tptp.vEBT_set_vebt (tptp.vEBT_vebt_insert T X3)))))))
% 16.06/16.26 (assume a1539 (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) tptp.one) (tptp.aa_num_num tptp.bit0 tptp.one)))
% 16.06/16.26 (assume a1540 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.vEBT_VEBT_set_vebt T)) (tptp.insert_nat X3 tptp.bot_bot_set_nat)) (tptp.vEBT_VEBT_set_vebt (tptp.vEBT_vebt_insert T X3)))))))
% 16.06/16.26 (assume a1541 (forall ((V2 tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X3 tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V2)) TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) X3)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V2)) TreeList Summary))))
% 16.06/16.26 (assume a1542 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) tptp.one)))))
% 16.06/16.26 (assume a1543 (forall ((N tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num tptp.one) N))))
% 16.06/16.26 (assume a1544 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_num tptp.bit0 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)))))
% 16.06/16.26 (assume a1545 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_num tptp.bit0 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N)))))
% 16.06/16.26 (assume a1546 (forall ((M2 tptp.num) (N tptp.num)) (= (= (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit0 N)) (= M2 N))))
% 16.06/16.26 (assume a1547 (forall ((C tptp.complex) (B4 tptp.set_complex) (A4 tptp.set_complex)) (=> (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.sup_sup_set_complex A4 B4))))))
% 16.06/16.26 (assume a1548 (forall ((C tptp.real) (B4 tptp.set_real) (A4 tptp.set_real)) (=> (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.sup_sup_set_real A4 B4))))))
% 16.06/16.26 (assume a1549 (forall ((C tptp.bool) (B4 tptp.set_bool) (A4 tptp.set_bool)) (=> (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.sup_sup_set_bool A4 B4))))))
% 16.06/16.26 (assume a1550 (forall ((C tptp.int) (B4 tptp.set_int) (A4 tptp.set_int)) (=> (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.sup_sup_set_int A4 B4))))))
% 16.06/16.26 (assume a1551 (forall ((C tptp.nat) (B4 tptp.set_nat) (A4 tptp.set_nat)) (=> (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))))))
% 16.06/16.26 (assume a1552 (forall ((C tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) B4))) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) A4))) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4))))))
% 16.06/16.26 (assume a1553 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.sup_sup_set_complex A4 B4))) (or (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4))))))
% 16.06/16.26 (assume a1554 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.sup_sup_set_real A4 B4))) (or (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4))))))
% 16.06/16.26 (assume a1555 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.sup_sup_set_bool A4 B4))) (or (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4))))))
% 16.06/16.26 (assume a1556 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.sup_sup_set_int A4 B4))) (or (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4))))))
% 16.06/16.26 (assume a1557 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4))))))
% 16.06/16.26 (assume a1558 (forall ((C tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4))) (or (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) A4)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) B4))))))
% 16.06/16.26 (assume a1559 (forall ((N tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit0 N)))))
% 16.06/16.26 (assume a1560 (forall ((M2 tptp.num)) (not (= (tptp.aa_num_num tptp.bit0 M2) tptp.one))))
% 16.06/16.26 (assume a1561 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4) tptp.bot_bo228742789529271731at_nat) (and (= A4 tptp.bot_bo228742789529271731at_nat) (= B4 tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.26 (assume a1562 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) B4) tptp.bot_bo2099793752762293965at_nat) (and (= A4 tptp.bot_bo2099793752762293965at_nat) (= B4 tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.26 (assume a1563 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (= (tptp.sup_sup_set_bool A4 B4) tptp.bot_bot_set_bool) (and (= A4 tptp.bot_bot_set_bool) (= B4 tptp.bot_bot_set_bool)))))
% 16.06/16.26 (assume a1564 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4) tptp.bot_bot_set_nat) (and (= A4 tptp.bot_bot_set_nat) (= B4 tptp.bot_bot_set_nat)))))
% 16.06/16.26 (assume a1565 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (= (tptp.sup_sup_set_int A4 B4) tptp.bot_bot_set_int) (and (= A4 tptp.bot_bot_set_int) (= B4 tptp.bot_bot_set_int)))))
% 16.06/16.26 (assume a1566 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)) C2)) (and (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) C2)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B4) C2))))))
% 16.06/16.26 (assume a1567 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) C2)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) C2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) C2))))))
% 16.06/16.26 (assume a1568 (forall ((A4 tptp.set_int) (A tptp.int) (B4 tptp.set_int)) (= (tptp.sup_sup_set_int A4 (tptp.insert_int A B4)) (tptp.insert_int A (tptp.sup_sup_set_int A4 B4)))))
% 16.06/16.26 (assume a1569 (forall ((A4 tptp.set_bool) (A tptp.bool) (B4 tptp.set_bool)) (= (tptp.sup_sup_set_bool A4 (tptp.insert_bool A B4)) (tptp.insert_bool A (tptp.sup_sup_set_bool A4 B4)))))
% 16.06/16.26 (assume a1570 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) (tptp.insert8211810215607154385at_nat A B4)) (tptp.insert8211810215607154385at_nat A (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) B4)))))
% 16.06/16.26 (assume a1571 (forall ((A4 tptp.set_nat) (A tptp.nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) (tptp.insert_nat A B4)) (tptp.insert_nat A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)))))
% 16.06/16.26 (assume a1572 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (A tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) (tptp.insert9069300056098147895at_nat A B4)) (tptp.insert9069300056098147895at_nat A (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)))))
% 16.06/16.26 (assume a1573 (forall ((A tptp.int) (B4 tptp.set_int) (C2 tptp.set_int)) (= (tptp.sup_sup_set_int (tptp.insert_int A B4) C2) (tptp.insert_int A (tptp.sup_sup_set_int B4 C2)))))
% 16.06/16.26 (assume a1574 (forall ((A tptp.bool) (B4 tptp.set_bool) (C2 tptp.set_bool)) (= (tptp.sup_sup_set_bool (tptp.insert_bool A B4) C2) (tptp.insert_bool A (tptp.sup_sup_set_bool B4 C2)))))
% 16.06/16.26 (assume a1575 (forall ((A tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.insert8211810215607154385at_nat A B4)) C2) (tptp.insert8211810215607154385at_nat A (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat B4) C2)))))
% 16.06/16.26 (assume a1576 (forall ((A tptp.nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.insert_nat A B4)) C2) (tptp.insert_nat A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) C2)))))
% 16.06/16.26 (assume a1577 (forall ((A tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.insert9069300056098147895at_nat A B4)) C2) (tptp.insert9069300056098147895at_nat A (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) C2)))))
% 16.06/16.26 (assume a1578 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.26 (assume a1579 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (C tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_less_set_complex A4) B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4))))))
% 16.06/16.26 (assume a1580 (forall ((A4 tptp.set_real) (B4 tptp.set_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A4) B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4))))))
% 16.06/16.26 (assume a1581 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (C tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_set_bool A4) B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4))))))
% 16.06/16.26 (assume a1582 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4))))))
% 16.06/16.26 (assume a1583 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A4) B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4))))))
% 16.06/16.26 (assume a1584 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.sup_sup_set_complex A4 B4))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4))))))
% 16.06/16.26 (assume a1585 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.sup_sup_set_real A4 B4))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4))))))
% 16.06/16.26 (assume a1586 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.sup_sup_set_bool A4 B4))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4))))))
% 16.06/16.26 (assume a1587 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.sup_sup_set_int A4 B4))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4))))))
% 16.06/16.26 (assume a1588 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4))))))
% 16.06/16.26 (assume a1589 (forall ((C tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4))) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) A4))) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) B4))))))
% 16.06/16.26 (assume a1590 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.sup_sup_set_complex A4 B4))))))
% 16.06/16.26 (assume a1591 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.sup_sup_set_real A4 B4))))))
% 16.06/16.26 (assume a1592 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.sup_sup_set_bool A4 B4))))))
% 16.06/16.26 (assume a1593 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.sup_sup_set_int A4 B4))))))
% 16.06/16.26 (assume a1594 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))))))
% 16.06/16.26 (assume a1595 (forall ((C tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) A4)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4))))))
% 16.06/16.26 (assume a1596 (forall ((C tptp.complex) (B4 tptp.set_complex) (A4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.sup_sup_set_complex A4 B4))))))
% 16.06/16.26 (assume a1597 (forall ((C tptp.real) (B4 tptp.set_real) (A4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.sup_sup_set_real A4 B4))))))
% 16.06/16.26 (assume a1598 (forall ((C tptp.bool) (B4 tptp.set_bool) (A4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.sup_sup_set_bool A4 B4))))))
% 16.06/16.26 (assume a1599 (forall ((C tptp.int) (B4 tptp.set_int) (A4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.sup_sup_set_int A4 B4))))))
% 16.06/16.26 (assume a1600 (forall ((C tptp.nat) (B4 tptp.set_nat) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))))))
% 16.06/16.26 (assume a1601 (forall ((C tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) B4)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat C) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4))))))
% 16.06/16.26 (assume a1602 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (P tptp.fun_nat_bool)) (= (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (tptp.pp (tptp.aa_nat_bool P X4)))) (or (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A4)) (tptp.pp (tptp.aa_nat_bool P X4)))) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) B4)) (tptp.pp (tptp.aa_nat_bool P X4))))))))
% 16.06/16.26 (assume a1603 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (P tptp.fun_Pr1607443439640623155t_bool)) (= (exists ((X4 tptp.produc3843707927480180839at_nat)) (and (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4))) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool P X4)))) (or (exists ((X4 tptp.produc3843707927480180839at_nat)) (and (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X4) A4)) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool P X4)))) (exists ((X4 tptp.produc3843707927480180839at_nat)) (and (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X4) B4)) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool P X4))))))))
% 16.06/16.26 (assume a1604 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (P tptp.fun_nat_bool)) (= (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (tptp.pp (tptp.aa_nat_bool P X4)))) (and (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A4)) (tptp.pp (tptp.aa_nat_bool P X4)))) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) B4)) (tptp.pp (tptp.aa_nat_bool P X4))))))))
% 16.06/16.26 (assume a1605 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (P tptp.fun_Pr1607443439640623155t_bool)) (= (forall ((X4 tptp.produc3843707927480180839at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4))) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool P X4)))) (and (forall ((X4 tptp.produc3843707927480180839at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X4) A4)) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool P X4)))) (forall ((X4 tptp.produc3843707927480180839at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X4) B4)) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool P X4))))))))
% 16.06/16.26 (assume a1606 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) C2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) C2)))))
% 16.06/16.26 (assume a1607 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)) C2) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) C2)))))
% 16.06/16.26 (assume a1608 (forall ((A4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) A4) A4)))
% 16.06/16.26 (assume a1609 (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) A4) A4)))
% 16.06/16.26 (assume a1610 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) A4))))
% 16.06/16.26 (assume a1611 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) A4))))
% 16.06/16.26 (assume a1612 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))))
% 16.06/16.26 (assume a1613 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4))))
% 16.06/16.26 (assume a1614 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) C2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) C2)))))
% 16.06/16.26 (assume a1615 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) C2)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) C2)))))
% 16.06/16.26 (assume a1616 (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) tptp.bot_bo228742789529271731at_nat) A4)))
% 16.06/16.26 (assume a1617 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) tptp.bot_bo2099793752762293965at_nat) A4)))
% 16.06/16.26 (assume a1618 (forall ((A4 tptp.set_bool)) (= (tptp.sup_sup_set_bool A4 tptp.bot_bot_set_bool) A4)))
% 16.06/16.26 (assume a1619 (forall ((A4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) tptp.bot_bot_set_nat) A4)))
% 16.06/16.26 (assume a1620 (forall ((A4 tptp.set_int)) (= (tptp.sup_sup_set_int A4 tptp.bot_bot_set_int) A4)))
% 16.06/16.26 (assume a1621 (forall ((B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat tptp.bot_bo228742789529271731at_nat) B4) B4)))
% 16.06/16.26 (assume a1622 (forall ((B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat tptp.bot_bo2099793752762293965at_nat) B4) B4)))
% 16.06/16.26 (assume a1623 (forall ((B4 tptp.set_bool)) (= (tptp.sup_sup_set_bool tptp.bot_bot_set_bool B4) B4)))
% 16.06/16.26 (assume a1624 (forall ((B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat tptp.bot_bot_set_nat) B4) B4)))
% 16.06/16.26 (assume a1625 (forall ((B4 tptp.set_int)) (= (tptp.sup_sup_set_int tptp.bot_bot_set_int B4) B4)))
% 16.06/16.26 (assume a1626 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) B4)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4) B4))))
% 16.06/16.26 (assume a1627 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4) B4))))
% 16.06/16.26 (assume a1628 (forall ((C2 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat C2) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4))) (not (forall ((A5 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A5) A4)) (forall ((B6 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B6) B4)) (not (= C2 (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A5) B6)))))))))))
% 16.06/16.26 (assume a1629 (forall ((C2 tptp.set_nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (not (forall ((A5 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A5) A4)) (forall ((B6 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B6) B4)) (not (= C2 (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A5) B6)))))))))))
% 16.06/16.26 (assume a1630 (forall ((B4 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B4) A4)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4) A4))))
% 16.06/16.26 (assume a1631 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4) A4))))
% 16.06/16.26 (assume a1632 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) B4)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4) B4))))
% 16.06/16.26 (assume a1633 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4) B4))))
% 16.06/16.26 (assume a1634 (forall ((B4 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)))))
% 16.06/16.26 (assume a1635 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)))))
% 16.06/16.26 (assume a1636 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)))))
% 16.06/16.26 (assume a1637 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)))))
% 16.06/16.26 (assume a1638 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) C2)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B4) C2)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)) C2))))))
% 16.06/16.26 (assume a1639 (forall ((A4 tptp.set_nat) (C2 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) C2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) C2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) C2))))))
% 16.06/16.26 (assume a1640 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (D2 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) C2)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B4) D2)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat C2) D2)))))))
% 16.06/16.26 (assume a1641 (forall ((A4 tptp.set_nat) (C2 tptp.set_nat) (B4 tptp.set_nat) (D2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) C2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) D2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat C2) D2)))))))
% 16.06/16.26 (assume a1642 (forall ((X3 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (= (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)) (or (and (= A4 tptp.bot_bo228742789529271731at_nat) (= B4 (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat))) (and (= A4 (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat)) (= B4 tptp.bot_bo228742789529271731at_nat)) (and (= A4 (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat)) (= B4 (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat)))))))
% 16.06/16.26 (assume a1643 (forall ((X3 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) B4)) (or (and (= A4 tptp.bot_bo2099793752762293965at_nat) (= B4 (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat))) (and (= A4 (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat)) (= B4 tptp.bot_bo2099793752762293965at_nat)) (and (= A4 (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat)) (= B4 (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat)))))))
% 16.06/16.26 (assume a1644 (forall ((X3 tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (= (= (tptp.insert_bool X3 tptp.bot_bot_set_bool) (tptp.sup_sup_set_bool A4 B4)) (or (and (= A4 tptp.bot_bot_set_bool) (= B4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))) (and (= A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool)) (= B4 tptp.bot_bot_set_bool)) (and (= A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool)) (= B4 (tptp.insert_bool X3 tptp.bot_bot_set_bool)))))))
% 16.06/16.26 (assume a1645 (forall ((X3 tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (= (= (tptp.insert_nat X3 tptp.bot_bot_set_nat) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (or (and (= A4 tptp.bot_bot_set_nat) (= B4 (tptp.insert_nat X3 tptp.bot_bot_set_nat))) (and (= A4 (tptp.insert_nat X3 tptp.bot_bot_set_nat)) (= B4 tptp.bot_bot_set_nat)) (and (= A4 (tptp.insert_nat X3 tptp.bot_bot_set_nat)) (= B4 (tptp.insert_nat X3 tptp.bot_bot_set_nat)))))))
% 16.06/16.26 (assume a1646 (forall ((X3 tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (= (= (tptp.insert_int X3 tptp.bot_bot_set_int) (tptp.sup_sup_set_int A4 B4)) (or (and (= A4 tptp.bot_bot_set_int) (= B4 (tptp.insert_int X3 tptp.bot_bot_set_int))) (and (= A4 (tptp.insert_int X3 tptp.bot_bot_set_int)) (= B4 tptp.bot_bot_set_int)) (and (= A4 (tptp.insert_int X3 tptp.bot_bot_set_int)) (= B4 (tptp.insert_int X3 tptp.bot_bot_set_int)))))))
% 16.06/16.26 (assume a1647 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (X3 tptp.produc3843707927480180839at_nat)) (= (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4) (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat)) (or (and (= A4 tptp.bot_bo228742789529271731at_nat) (= B4 (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat))) (and (= A4 (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat)) (= B4 tptp.bot_bo228742789529271731at_nat)) (and (= A4 (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat)) (= B4 (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat)))))))
% 16.06/16.26 (assume a1648 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (X3 tptp.product_prod_nat_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) B4) (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat)) (or (and (= A4 tptp.bot_bo2099793752762293965at_nat) (= B4 (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat))) (and (= A4 (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat)) (= B4 tptp.bot_bo2099793752762293965at_nat)) (and (= A4 (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat)) (= B4 (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat)))))))
% 16.06/16.26 (assume a1649 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (X3 tptp.bool)) (= (= (tptp.sup_sup_set_bool A4 B4) (tptp.insert_bool X3 tptp.bot_bot_set_bool)) (or (and (= A4 tptp.bot_bot_set_bool) (= B4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))) (and (= A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool)) (= B4 tptp.bot_bot_set_bool)) (and (= A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool)) (= B4 (tptp.insert_bool X3 tptp.bot_bot_set_bool)))))))
% 16.06/16.26 (assume a1650 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (X3 tptp.nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4) (tptp.insert_nat X3 tptp.bot_bot_set_nat)) (or (and (= A4 tptp.bot_bot_set_nat) (= B4 (tptp.insert_nat X3 tptp.bot_bot_set_nat))) (and (= A4 (tptp.insert_nat X3 tptp.bot_bot_set_nat)) (= B4 tptp.bot_bot_set_nat)) (and (= A4 (tptp.insert_nat X3 tptp.bot_bot_set_nat)) (= B4 (tptp.insert_nat X3 tptp.bot_bot_set_nat)))))))
% 16.06/16.26 (assume a1651 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (X3 tptp.int)) (= (= (tptp.sup_sup_set_int A4 B4) (tptp.insert_int X3 tptp.bot_bot_set_int)) (or (and (= A4 tptp.bot_bot_set_int) (= B4 (tptp.insert_int X3 tptp.bot_bot_set_int))) (and (= A4 (tptp.insert_int X3 tptp.bot_bot_set_int)) (= B4 tptp.bot_bot_set_int)) (and (= A4 (tptp.insert_int X3 tptp.bot_bot_set_int)) (= B4 (tptp.insert_int X3 tptp.bot_bot_set_int)))))))
% 16.06/16.26 (assume a1652 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.insert9069300056098147895at_nat A A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat)) A4))))
% 16.06/16.26 (assume a1653 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.insert8211810215607154385at_nat A A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat)) A4))))
% 16.06/16.26 (assume a1654 (forall ((A tptp.bool) (A4 tptp.set_bool)) (= (tptp.insert_bool A A4) (tptp.sup_sup_set_bool (tptp.insert_bool A tptp.bot_bot_set_bool) A4))))
% 16.06/16.26 (assume a1655 (forall ((A tptp.nat) (A4 tptp.set_nat)) (= (tptp.insert_nat A A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.insert_nat A tptp.bot_bot_set_nat)) A4))))
% 16.06/16.26 (assume a1656 (forall ((A tptp.int) (A4 tptp.set_int)) (= (tptp.insert_int A A4) (tptp.sup_sup_set_int (tptp.insert_int A tptp.bot_bot_set_int) A4))))
% 16.06/16.26 (assume a1657 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.vEBT_VEBT_set_vebt (tptp.vEBT_vebt_delete T X3)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.vEBT_set_vebt T)) (tptp.insert_nat X3 tptp.bot_bot_set_nat))))))
% 16.06/16.26 (assume a1658 (=> (not (= tptp.mi tptp.ma)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.ma) tptp.na) I2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList2 I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.ma) tptp.na)))) (forall ((X tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) tptp.na) I2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList2 I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) tptp.na)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.mi) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) tptp.ma))))))))))
% 16.06/16.26 (assume a1659 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.ord_le2932123472753598470d_enat (tptp.numera1916890842035813515d_enat M2) (tptp.numera1916890842035813515d_enat N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.06/16.26 (assume a1660 (forall ((A tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) tptp.bot_bo228742789529271731at_nat) A)))
% 16.06/16.26 (assume a1661 (forall ((A tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A) tptp.bot_bo2099793752762293965at_nat) A)))
% 16.06/16.26 (assume a1662 (forall ((A tptp.set_bool)) (= (tptp.sup_sup_set_bool A tptp.bot_bot_set_bool) A)))
% 16.06/16.26 (assume a1663 (forall ((A tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) tptp.bot_bot_set_nat) A)))
% 16.06/16.26 (assume a1664 (forall ((A tptp.set_int)) (= (tptp.sup_sup_set_int A tptp.bot_bot_set_int) A)))
% 16.06/16.26 (assume a1665 (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (= (= tptp.bot_bo228742789529271731at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B)) (and (= A tptp.bot_bo228742789529271731at_nat) (= B tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.26 (assume a1666 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (= (= tptp.bot_bo2099793752762293965at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A) B)) (and (= A tptp.bot_bo2099793752762293965at_nat) (= B tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.26 (assume a1667 (forall ((A tptp.set_bool) (B tptp.set_bool)) (= (= tptp.bot_bot_set_bool (tptp.sup_sup_set_bool A B)) (and (= A tptp.bot_bot_set_bool) (= B tptp.bot_bot_set_bool)))))
% 16.06/16.26 (assume a1668 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (= tptp.bot_bot_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B)) (and (= A tptp.bot_bot_set_nat) (= B tptp.bot_bot_set_nat)))))
% 16.06/16.26 (assume a1669 (forall ((A tptp.set_int) (B tptp.set_int)) (= (= tptp.bot_bot_set_int (tptp.sup_sup_set_int A B)) (and (= A tptp.bot_bot_set_int) (= B tptp.bot_bot_set_int)))))
% 16.06/16.26 (assume a1670 (forall ((A tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat tptp.bot_bo228742789529271731at_nat) A) A)))
% 16.06/16.26 (assume a1671 (forall ((A tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat tptp.bot_bo2099793752762293965at_nat) A) A)))
% 16.06/16.26 (assume a1672 (forall ((A tptp.set_bool)) (= (tptp.sup_sup_set_bool tptp.bot_bot_set_bool A) A)))
% 16.06/16.26 (assume a1673 (forall ((A tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat tptp.bot_bot_set_nat) A) A)))
% 16.06/16.26 (assume a1674 (forall ((A tptp.set_int)) (= (tptp.sup_sup_set_int tptp.bot_bot_set_int A) A)))
% 16.06/16.26 (assume a1675 (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (= (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B) tptp.bot_bo228742789529271731at_nat) (and (= A tptp.bot_bo228742789529271731at_nat) (= B tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.26 (assume a1676 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A) B) tptp.bot_bo2099793752762293965at_nat) (and (= A tptp.bot_bo2099793752762293965at_nat) (= B tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.26 (assume a1677 (forall ((A tptp.set_bool) (B tptp.set_bool)) (= (= (tptp.sup_sup_set_bool A B) tptp.bot_bot_set_bool) (and (= A tptp.bot_bot_set_bool) (= B tptp.bot_bot_set_bool)))))
% 16.06/16.26 (assume a1678 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B) tptp.bot_bot_set_nat) (and (= A tptp.bot_bot_set_nat) (= B tptp.bot_bot_set_nat)))))
% 16.06/16.26 (assume a1679 (forall ((A tptp.set_int) (B tptp.set_int)) (= (= (tptp.sup_sup_set_int A B) tptp.bot_bot_set_int) (and (= A tptp.bot_bot_set_int) (= B tptp.bot_bot_set_int)))))
% 16.06/16.26 (assume a1680 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (= (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Y) tptp.bot_bo228742789529271731at_nat) (and (= X3 tptp.bot_bo228742789529271731at_nat) (= Y tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.26 (assume a1681 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat X3) Y) tptp.bot_bo2099793752762293965at_nat) (and (= X3 tptp.bot_bo2099793752762293965at_nat) (= Y tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.26 (assume a1682 (forall ((X3 tptp.set_bool) (Y tptp.set_bool)) (= (= (tptp.sup_sup_set_bool X3 Y) tptp.bot_bot_set_bool) (and (= X3 tptp.bot_bot_set_bool) (= Y tptp.bot_bot_set_bool)))))
% 16.06/16.26 (assume a1683 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Y) tptp.bot_bot_set_nat) (and (= X3 tptp.bot_bot_set_nat) (= Y tptp.bot_bot_set_nat)))))
% 16.06/16.26 (assume a1684 (forall ((X3 tptp.set_int) (Y tptp.set_int)) (= (= (tptp.sup_sup_set_int X3 Y) tptp.bot_bot_set_int) (and (= X3 tptp.bot_bot_set_int) (= Y tptp.bot_bot_set_int)))))
% 16.06/16.26 (assume a1685 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (= (= tptp.bot_bo228742789529271731at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Y)) (and (= X3 tptp.bot_bo228742789529271731at_nat) (= Y tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.26 (assume a1686 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (= (= tptp.bot_bo2099793752762293965at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat X3) Y)) (and (= X3 tptp.bot_bo2099793752762293965at_nat) (= Y tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.26 (assume a1687 (forall ((X3 tptp.set_bool) (Y tptp.set_bool)) (= (= tptp.bot_bot_set_bool (tptp.sup_sup_set_bool X3 Y)) (and (= X3 tptp.bot_bot_set_bool) (= Y tptp.bot_bot_set_bool)))))
% 16.06/16.26 (assume a1688 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (= tptp.bot_bot_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Y)) (and (= X3 tptp.bot_bot_set_nat) (= Y tptp.bot_bot_set_nat)))))
% 16.06/16.26 (assume a1689 (forall ((X3 tptp.set_int) (Y tptp.set_int)) (= (= tptp.bot_bot_set_int (tptp.sup_sup_set_int X3 Y)) (and (= X3 tptp.bot_bot_set_int) (= Y tptp.bot_bot_set_int)))))
% 16.06/16.26 (assume a1690 (forall ((X3 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) tptp.bot_bo228742789529271731at_nat) X3)))
% 16.06/16.26 (assume a1691 (forall ((X3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat X3) tptp.bot_bo2099793752762293965at_nat) X3)))
% 16.06/16.26 (assume a1692 (forall ((X3 tptp.set_bool)) (= (tptp.sup_sup_set_bool X3 tptp.bot_bot_set_bool) X3)))
% 16.06/16.26 (assume a1693 (forall ((X3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) tptp.bot_bot_set_nat) X3)))
% 16.06/16.26 (assume a1694 (forall ((X3 tptp.set_int)) (= (tptp.sup_sup_set_int X3 tptp.bot_bot_set_int) X3)))
% 16.06/16.26 (assume a1695 (forall ((X3 tptp.nat) (D tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.vEBT_VEBT_bit_concat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) D)) D) X3)))
% 16.06/16.26 (assume a1696 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) B4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))))
% 16.06/16.26 (assume a1697 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.minus_811609699411566653omplex A4 B4))) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4)))))))
% 16.06/16.26 (assume a1698 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.minus_minus_set_real A4 B4))) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4)))))))
% 16.06/16.26 (assume a1699 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.minus_minus_set_bool A4 B4))) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4)))))))
% 16.06/16.26 (assume a1700 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.minus_minus_set_int A4 B4))) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4)))))))
% 16.06/16.26 (assume a1701 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4)))))))
% 16.06/16.26 (assume a1702 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.minus_811609699411566653omplex A4 B4)))))))
% 16.06/16.26 (assume a1703 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.minus_minus_set_real A4 B4)))))))
% 16.06/16.26 (assume a1704 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.minus_minus_set_bool A4 B4)))))))
% 16.06/16.26 (assume a1705 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.minus_minus_set_int A4 B4)))))))
% 16.06/16.26 (assume a1706 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)))))))
% 16.06/16.26 (assume a1707 (forall ((Ma tptp.nat) (N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))))))
% 16.06/16.26 (assume a1708 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.vEBT_VEBT_set_vebt (tptp.vEBT_vebt_delete T X3)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.vEBT_VEBT_set_vebt T)) (tptp.insert_nat X3 tptp.bot_bot_set_nat))))))
% 16.06/16.26 (assume a1709 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) B) A)))
% 16.06/16.26 (assume a1710 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) B) A)))
% 16.06/16.26 (assume a1711 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) B) A)))
% 16.06/16.26 (assume a1712 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) B) A)))
% 16.06/16.26 (assume a1713 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) B) A)))
% 16.06/16.26 (assume a1714 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) B) A)))
% 16.06/16.26 (assume a1715 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.plus_plus_real C) B)) (tptp.aa_real_real (tptp.minus_minus_real A) B))))
% 16.06/16.26 (assume a1716 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B))))
% 16.06/16.26 (assume a1717 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B))))
% 16.06/16.26 (assume a1718 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))))
% 16.06/16.26 (assume a1719 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) A) B)))
% 16.06/16.26 (assume a1720 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) A) B)))
% 16.06/16.26 (assume a1721 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) A) B)))
% 16.06/16.26 (assume a1722 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) A) B)))
% 16.06/16.26 (assume a1723 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real B) C)) (tptp.aa_real_real (tptp.minus_minus_real A) B))))
% 16.06/16.26 (assume a1724 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B))))
% 16.06/16.26 (assume a1725 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B))))
% 16.06/16.26 (assume a1726 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))))
% 16.06/16.26 (assume a1727 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) B) A)))
% 16.06/16.26 (assume a1728 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) B) A)))
% 16.06/16.26 (assume a1729 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) B) A)))
% 16.06/16.26 (assume a1730 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) B) A)))
% 16.06/16.26 (assume a1731 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat) (Z tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Y)) Z)) (and (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X3) Z)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat Y) Z))))))
% 16.06/16.26 (assume a1732 (forall ((X3 tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Y)) Z)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Z)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) Z))))))
% 16.06/16.26 (assume a1733 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat X3) Y)) Z)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z))))))
% 16.06/16.26 (assume a1734 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat X3) Y)) Z)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z))))))
% 16.06/16.26 (assume a1735 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int X3) Y)) Z)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z))))))
% 16.06/16.26 (assume a1736 (forall ((B tptp.set_Pr4329608150637261639at_nat) (C tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B) C)) A)) (and (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B) A)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat C) A))))))
% 16.06/16.26 (assume a1737 (forall ((B tptp.set_nat) (C tptp.set_nat) (A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B) C)) A)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) A))))))
% 16.06/16.26 (assume a1738 (forall ((B tptp.rat) (C tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat B) C)) A)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A))))))
% 16.06/16.26 (assume a1739 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat B) C)) A)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A))))))
% 16.06/16.26 (assume a1740 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int B) C)) A)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A))))))
% 16.06/16.26 (assume a1741 (forall ((X3 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat tptp.bot_bo228742789529271731at_nat) X3) X3)))
% 16.06/16.26 (assume a1742 (forall ((X3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat tptp.bot_bo2099793752762293965at_nat) X3) X3)))
% 16.06/16.26 (assume a1743 (forall ((X3 tptp.set_bool)) (= (tptp.sup_sup_set_bool tptp.bot_bot_set_bool X3) X3)))
% 16.06/16.26 (assume a1744 (forall ((X3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat tptp.bot_bot_set_nat) X3) X3)))
% 16.06/16.26 (assume a1745 (forall ((X3 tptp.set_int)) (= (tptp.sup_sup_set_int tptp.bot_bot_set_int X3) X3)))
% 16.06/16.26 (assume a1746 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) tptp.bot_bo2099793752762293965at_nat) A4)))
% 16.06/16.26 (assume a1747 (forall ((A4 tptp.set_bool)) (= (tptp.minus_minus_set_bool A4 tptp.bot_bot_set_bool) A4)))
% 16.06/16.26 (assume a1748 (forall ((A4 tptp.set_int)) (= (tptp.minus_minus_set_int A4 tptp.bot_bot_set_int) A4)))
% 16.06/16.26 (assume a1749 (forall ((A4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) tptp.bot_bot_set_nat) A4)))
% 16.06/16.26 (assume a1750 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat tptp.bot_bo2099793752762293965at_nat) A4) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.26 (assume a1751 (forall ((A4 tptp.set_bool)) (= (tptp.minus_minus_set_bool tptp.bot_bot_set_bool A4) tptp.bot_bot_set_bool)))
% 16.06/16.26 (assume a1752 (forall ((A4 tptp.set_int)) (= (tptp.minus_minus_set_int tptp.bot_bot_set_int A4) tptp.bot_bot_set_int)))
% 16.06/16.26 (assume a1753 (forall ((A4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat tptp.bot_bot_set_nat) A4) tptp.bot_bot_set_nat)))
% 16.06/16.26 (assume a1754 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) A4) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.26 (assume a1755 (forall ((A4 tptp.set_bool)) (= (tptp.minus_minus_set_bool A4 A4) tptp.bot_bot_set_bool)))
% 16.06/16.26 (assume a1756 (forall ((A4 tptp.set_int)) (= (tptp.minus_minus_set_int A4 A4) tptp.bot_bot_set_int)))
% 16.06/16.26 (assume a1757 (forall ((A4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) A4) tptp.bot_bot_set_nat)))
% 16.06/16.26 (assume a1758 (forall ((X3 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) A4))) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.insert8211810215607154385at_nat X3 B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)))))
% 16.06/16.26 (assume a1759 (forall ((X3 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) A4))) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.insert9069300056098147895at_nat X3 B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) B4)))))
% 16.06/16.26 (assume a1760 (forall ((X3 tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (= (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 B4)) (tptp.minus_811609699411566653omplex A4 B4)))))
% 16.06/16.26 (assume a1761 (forall ((X3 tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.minus_minus_set_real A4 (tptp.insert_real X3 B4)) (tptp.minus_minus_set_real A4 B4)))))
% 16.06/16.26 (assume a1762 (forall ((X3 tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (= (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 B4)) (tptp.minus_minus_set_bool A4 B4)))))
% 16.06/16.26 (assume a1763 (forall ((X3 tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (= (tptp.minus_minus_set_int A4 (tptp.insert_int X3 B4)) (tptp.minus_minus_set_int A4 B4)))))
% 16.06/16.26 (assume a1764 (forall ((X3 tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat X3 B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)))))
% 16.06/16.26 (assume a1765 (forall ((X3 tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) B4)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat (tptp.insert8211810215607154385at_nat X3 A4)) B4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)))))
% 16.06/16.26 (assume a1766 (forall ((X3 tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) B4)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat (tptp.insert9069300056098147895at_nat X3 A4)) B4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) B4)))))
% 16.06/16.26 (assume a1767 (forall ((X3 tptp.complex) (B4 tptp.set_complex) (A4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) B4)) (= (tptp.minus_811609699411566653omplex (tptp.insert_complex X3 A4) B4) (tptp.minus_811609699411566653omplex A4 B4)))))
% 16.06/16.26 (assume a1768 (forall ((X3 tptp.real) (B4 tptp.set_real) (A4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) B4)) (= (tptp.minus_minus_set_real (tptp.insert_real X3 A4) B4) (tptp.minus_minus_set_real A4 B4)))))
% 16.06/16.26 (assume a1769 (forall ((X3 tptp.bool) (B4 tptp.set_bool) (A4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) B4)) (= (tptp.minus_minus_set_bool (tptp.insert_bool X3 A4) B4) (tptp.minus_minus_set_bool A4 B4)))))
% 16.06/16.26 (assume a1770 (forall ((X3 tptp.int) (B4 tptp.set_int) (A4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) B4)) (= (tptp.minus_minus_set_int (tptp.insert_int X3 A4) B4) (tptp.minus_minus_set_int A4 B4)))))
% 16.06/16.26 (assume a1771 (forall ((X3 tptp.nat) (B4 tptp.set_nat) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) B4)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.insert_nat X3 A4)) B4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)))))
% 16.06/16.26 (assume a1772 (forall ((B4 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat B4) A4)) A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) A4))))
% 16.06/16.26 (assume a1773 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)) A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) A4))))
% 16.06/16.26 (assume a1774 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat B4) A4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4))))
% 16.06/16.26 (assume a1775 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))))
% 16.06/16.26 (assume a1776 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4) tptp.bot_bo2099793752762293965at_nat) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4)))))
% 16.06/16.26 (assume a1777 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (= (tptp.minus_minus_set_bool A4 B4) tptp.bot_bot_set_bool) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)))))
% 16.06/16.26 (assume a1778 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (= (tptp.minus_minus_set_int A4 B4) tptp.bot_bot_set_int) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)))))
% 16.06/16.26 (assume a1779 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4) tptp.bot_bot_set_nat) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)))))
% 16.06/16.26 (assume a1780 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.insert9069300056098147895at_nat A (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))) (tptp.insert9069300056098147895at_nat A A4))))
% 16.06/16.26 (assume a1781 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.insert8211810215607154385at_nat A (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))) (tptp.insert8211810215607154385at_nat A A4))))
% 16.06/16.26 (assume a1782 (forall ((A tptp.bool) (A4 tptp.set_bool)) (= (tptp.insert_bool A (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool))) (tptp.insert_bool A A4))))
% 16.06/16.26 (assume a1783 (forall ((A tptp.int) (A4 tptp.set_int)) (= (tptp.insert_int A (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.insert_int A A4))))
% 16.06/16.26 (assume a1784 (forall ((A tptp.nat) (A4 tptp.set_nat)) (= (tptp.insert_nat A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.insert_nat A A4))))
% 16.06/16.26 (assume a1785 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.ord_le72135733267957522d_enat (tptp.numera1916890842035813515d_enat M2) (tptp.numera1916890842035813515d_enat N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.06/16.26 (assume a1786 (=> (not (= tptp.mi tptp.ma)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.ma) tptp.na) I2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.ma) tptp.na)))) (forall ((X tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) tptp.na) I2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) tptp.na)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.mi) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) tptp.ma))))))))))
% 16.06/16.26 (assume a1787 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.minus_minus_real A) C)) B) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) C))))
% 16.06/16.26 (assume a1788 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) C)) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) C))))
% 16.06/16.26 (assume a1789 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) C)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B)) C))))
% 16.06/16.26 (assume a1790 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) C))))
% 16.06/16.26 (assume a1791 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (= (tptp.aa_real_real (tptp.minus_minus_real A) B) (tptp.aa_real_real (tptp.minus_minus_real C) D)) (= (= A B) (= C D)))))
% 16.06/16.26 (assume a1792 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat C) D)) (= (= A B) (= C D)))))
% 16.06/16.26 (assume a1793 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) D)) (= (= A B) (= C D)))))
% 16.06/16.26 (assume a1794 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.minus_811609699411566653omplex A4 B4))) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4))))))
% 16.06/16.26 (assume a1795 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.minus_minus_set_real A4 B4))) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4))))))
% 16.06/16.26 (assume a1796 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.minus_minus_set_bool A4 B4))) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4))))))
% 16.06/16.26 (assume a1797 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.minus_minus_set_int A4 B4))) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4))))))
% 16.06/16.26 (assume a1798 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4))))))
% 16.06/16.26 (assume a1799 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.minus_811609699411566653omplex A4 B4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4)))))
% 16.06/16.26 (assume a1800 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.minus_minus_set_real A4 B4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4)))))
% 16.06/16.26 (assume a1801 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.minus_minus_set_bool A4 B4))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4)))))
% 16.06/16.26 (assume a1802 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.minus_minus_set_int A4 B4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4)))))
% 16.06/16.26 (assume a1803 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4)))))
% 16.06/16.26 (assume a1804 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.minus_811609699411566653omplex A4 B4))) (not (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4)))))))
% 16.06/16.26 (assume a1805 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.minus_minus_set_real A4 B4))) (not (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4)))))))
% 16.06/16.26 (assume a1806 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.minus_minus_set_bool A4 B4))) (not (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4)))))))
% 16.06/16.26 (assume a1807 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.minus_minus_set_int A4 B4))) (not (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4)))))))
% 16.06/16.26 (assume a1808 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (not (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4)))))))
% 16.06/16.26 (assume a1809 (forall ((A tptp.real) (B tptp.real) (D tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real D) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real A) C)) (tptp.aa_real_real (tptp.minus_minus_real B) D)))))))
% 16.06/16.26 (assume a1810 (forall ((A tptp.rat) (B tptp.rat) (D tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat D) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) D)))))))
% 16.06/16.26 (assume a1811 (forall ((A tptp.int) (B tptp.int) (D tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int D) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) D)))))))
% 16.06/16.26 (assume a1812 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real C) A)) (tptp.aa_real_real (tptp.minus_minus_real C) B))))))
% 16.06/16.26 (assume a1813 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat C) B))))))
% 16.06/16.26 (assume a1814 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) B))))))
% 16.06/16.26 (assume a1815 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real A) C)) (tptp.aa_real_real (tptp.minus_minus_real B) C))))))
% 16.06/16.26 (assume a1816 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) C))))))
% 16.06/16.26 (assume a1817 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) C))))))
% 16.06/16.26 (assume a1818 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (= (tptp.aa_real_real (tptp.minus_minus_real A) B) (tptp.aa_real_real (tptp.minus_minus_real C) D)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D))))))
% 16.06/16.26 (assume a1819 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat C) D)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D))))))
% 16.06/16.26 (assume a1820 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) D)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D))))))
% 16.06/16.26 (assume a1821 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real A) C)) (tptp.aa_real_real (tptp.minus_minus_real B) C))))))
% 16.06/16.26 (assume a1822 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) C))))))
% 16.06/16.26 (assume a1823 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) C))))))
% 16.06/16.26 (assume a1824 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real C) A)) (tptp.aa_real_real (tptp.minus_minus_real C) B))))))
% 16.06/16.26 (assume a1825 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat C) B))))))
% 16.06/16.26 (assume a1826 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) B))))))
% 16.06/16.26 (assume a1827 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (= (tptp.aa_real_real (tptp.minus_minus_real A) B) (tptp.aa_real_real (tptp.minus_minus_real C) D)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D))))))
% 16.06/16.26 (assume a1828 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat C) D)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D))))))
% 16.06/16.26 (assume a1829 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) D)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D))))))
% 16.06/16.26 (assume a1830 (forall ((A tptp.real) (B tptp.real) (D tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real D) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real A) C)) (tptp.aa_real_real (tptp.minus_minus_real B) D)))))))
% 16.06/16.26 (assume a1831 (forall ((A tptp.rat) (B tptp.rat) (D tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat D) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) D)))))))
% 16.06/16.26 (assume a1832 (forall ((A tptp.int) (B tptp.int) (D tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int D) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) D)))))))
% 16.06/16.26 (assume a1833 (forall ((A4 tptp.real) (K2 tptp.real) (A tptp.real) (B tptp.real)) (=> (= A4 (tptp.aa_real_real (tptp.plus_plus_real K2) A)) (= (tptp.aa_real_real (tptp.minus_minus_real A4) B) (tptp.aa_real_real (tptp.plus_plus_real K2) (tptp.aa_real_real (tptp.minus_minus_real A) B))))))
% 16.06/16.26 (assume a1834 (forall ((A4 tptp.rat) (K2 tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (= A4 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K2) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A4) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B))))))
% 16.06/16.26 (assume a1835 (forall ((A4 tptp.int) (K2 tptp.int) (A tptp.int) (B tptp.int)) (=> (= A4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A4) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))))))
% 16.06/16.26 (assume a1836 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.minus_minus_real A) B) C) (= A (tptp.aa_real_real (tptp.plus_plus_real C) B)))))
% 16.06/16.26 (assume a1837 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B) C) (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B)))))
% 16.06/16.26 (assume a1838 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) C) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B)))))
% 16.06/16.26 (assume a1839 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (= A (tptp.aa_real_real (tptp.minus_minus_real C) B)) (= (tptp.aa_real_real (tptp.plus_plus_real A) B) C))))
% 16.06/16.26 (assume a1840 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat C) B)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B) C))))
% 16.06/16.26 (assume a1841 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) C))))
% 16.06/16.26 (assume a1842 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real (tptp.minus_minus_real B) C)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) C))))
% 16.06/16.26 (assume a1843 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) C))))
% 16.06/16.26 (assume a1844 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C))))
% 16.06/16.26 (assume a1845 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real A) (tptp.aa_real_real (tptp.minus_minus_real B) C)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) B))))
% 16.06/16.26 (assume a1846 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) B))))
% 16.06/16.26 (assume a1847 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) B))))
% 16.06/16.26 (assume a1848 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) C) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) B))))
% 16.06/16.26 (assume a1849 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) B))))
% 16.06/16.26 (assume a1850 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) B))))
% 16.06/16.26 (assume a1851 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real A) (tptp.aa_real_real (tptp.plus_plus_real B) C)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.minus_minus_real A) C)) B))))
% 16.06/16.26 (assume a1852 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) C)) B))))
% 16.06/16.26 (assume a1853 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C)) B))))
% 16.06/16.26 (assume a1854 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (= (tptp.aa_real_real (tptp.plus_plus_real C) B) A) (= C (tptp.aa_real_real (tptp.minus_minus_real A) B)))))
% 16.06/16.26 (assume a1855 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B) A) (= C (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)))))
% 16.06/16.26 (assume a1856 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B) A) (= C (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B)))))
% 16.06/16.26 (assume a1857 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B) A) (= C (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)))))
% 16.06/16.26 (assume a1858 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) C) (tptp.aa_real_real (tptp.minus_minus_real A) (tptp.aa_real_real (tptp.plus_plus_real B) C)))))
% 16.06/16.26 (assume a1859 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C)))))
% 16.06/16.26 (assume a1860 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C)))))
% 16.06/16.26 (assume a1861 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C)))))
% 16.06/16.26 (assume a1862 (forall ((A4 tptp.set_nat) (C2 tptp.set_nat) (D2 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) C2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat D2) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat C2) D2)))))))
% 16.06/16.26 (assume a1863 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) A4))))
% 16.06/16.26 (assume a1864 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) C2)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat C2) A4)) A4)))))
% 16.06/16.26 (assume a1865 (forall ((X3 tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (and (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) B4)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat (tptp.insert8211810215607154385at_nat X3 A4)) B4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4))) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) B4))) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat (tptp.insert8211810215607154385at_nat X3 A4)) B4) (tptp.insert8211810215607154385at_nat X3 (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)))))))
% 16.06/16.26 (assume a1866 (forall ((X3 tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (and (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) B4)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat (tptp.insert9069300056098147895at_nat X3 A4)) B4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) B4))) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) B4))) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat (tptp.insert9069300056098147895at_nat X3 A4)) B4) (tptp.insert9069300056098147895at_nat X3 (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) B4)))))))
% 16.06/16.26 (assume a1867 (forall ((X3 tptp.complex) (B4 tptp.set_complex) (A4 tptp.set_complex)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) B4)) (= (tptp.minus_811609699411566653omplex (tptp.insert_complex X3 A4) B4) (tptp.minus_811609699411566653omplex A4 B4))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) B4))) (= (tptp.minus_811609699411566653omplex (tptp.insert_complex X3 A4) B4) (tptp.insert_complex X3 (tptp.minus_811609699411566653omplex A4 B4)))))))
% 16.06/16.26 (assume a1868 (forall ((X3 tptp.real) (B4 tptp.set_real) (A4 tptp.set_real)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) B4)) (= (tptp.minus_minus_set_real (tptp.insert_real X3 A4) B4) (tptp.minus_minus_set_real A4 B4))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) B4))) (= (tptp.minus_minus_set_real (tptp.insert_real X3 A4) B4) (tptp.insert_real X3 (tptp.minus_minus_set_real A4 B4)))))))
% 16.06/16.26 (assume a1869 (forall ((X3 tptp.bool) (B4 tptp.set_bool) (A4 tptp.set_bool)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) B4)) (= (tptp.minus_minus_set_bool (tptp.insert_bool X3 A4) B4) (tptp.minus_minus_set_bool A4 B4))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) B4))) (= (tptp.minus_minus_set_bool (tptp.insert_bool X3 A4) B4) (tptp.insert_bool X3 (tptp.minus_minus_set_bool A4 B4)))))))
% 16.06/16.26 (assume a1870 (forall ((X3 tptp.int) (B4 tptp.set_int) (A4 tptp.set_int)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) B4)) (= (tptp.minus_minus_set_int (tptp.insert_int X3 A4) B4) (tptp.minus_minus_set_int A4 B4))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) B4))) (= (tptp.minus_minus_set_int (tptp.insert_int X3 A4) B4) (tptp.insert_int X3 (tptp.minus_minus_set_int A4 B4)))))))
% 16.06/16.26 (assume a1871 (forall ((X3 tptp.nat) (B4 tptp.set_nat) (A4 tptp.set_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) B4)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.insert_nat X3 A4)) B4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) B4))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.insert_nat X3 A4)) B4) (tptp.insert_nat X3 (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)))))))
% 16.06/16.26 (assume a1872 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)) C2) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) C2)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat B4) C2)))))
% 16.06/16.26 (assume a1873 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) C2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) C2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) C2)))))
% 16.06/16.26 (assume a1874 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_less_set_complex A4) B4)) (exists ((B3 tptp.complex)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex B4 A4)))))))
% 16.06/16.26 (assume a1875 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A4) B4)) (exists ((B3 tptp.real)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B4 A4)))))))
% 16.06/16.26 (assume a1876 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_set_bool A4) B4)) (exists ((B3 tptp.bool)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool B4 A4)))))))
% 16.06/16.26 (assume a1877 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A4) B4)) (exists ((B3 tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int B4 A4)))))))
% 16.06/16.26 (assume a1878 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) B4)) (exists ((B3 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)))))))
% 16.06/16.26 (assume a1879 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.plus_plus_real C) B))))))
% 16.06/16.26 (assume a1880 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B))))))
% 16.06/16.26 (assume a1881 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B))))))
% 16.06/16.26 (assume a1882 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.minus_minus_real C) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) C)))))
% 16.06/16.26 (assume a1883 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) C)))))
% 16.06/16.26 (assume a1884 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C)))))
% 16.06/16.26 (assume a1885 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) A)) A) B))))
% 16.06/16.26 (assume a1886 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C)) A))))))
% 16.06/16.26 (assume a1887 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) B))))))
% 16.06/16.26 (assume a1888 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B)) A)))))
% 16.06/16.26 (assume a1889 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) A))))))
% 16.06/16.26 (assume a1890 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) A)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C)) A)))))
% 16.06/16.26 (assume a1891 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) A)) C)))))
% 16.06/16.26 (assume a1892 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) B)))))
% 16.06/16.26 (assume a1893 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) A)) B))))
% 16.06/16.26 (assume a1894 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) A) C) (= B (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)))))))
% 16.06/16.26 (assume a1895 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.minus_minus_real C) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) C)))))
% 16.06/16.26 (assume a1896 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) C)))))
% 16.06/16.26 (assume a1897 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C)))))
% 16.06/16.26 (assume a1898 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.plus_plus_real C) B))))))
% 16.06/16.26 (assume a1899 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B))))))
% 16.06/16.26 (assume a1900 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B))))))
% 16.06/16.26 (assume a1901 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (A tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.insert9069300056098147895at_nat A B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) B4)) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.26 (assume a1902 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.insert8211810215607154385at_nat A B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.26 (assume a1903 (forall ((A4 tptp.set_bool) (A tptp.bool) (B4 tptp.set_bool)) (= (tptp.minus_minus_set_bool A4 (tptp.insert_bool A B4)) (tptp.minus_minus_set_bool (tptp.minus_minus_set_bool A4 B4) (tptp.insert_bool A tptp.bot_bot_set_bool)))))
% 16.06/16.26 (assume a1904 (forall ((A4 tptp.set_int) (A tptp.int) (B4 tptp.set_int)) (= (tptp.minus_minus_set_int A4 (tptp.insert_int A B4)) (tptp.minus_minus_set_int (tptp.minus_minus_set_int A4 B4) (tptp.insert_int A tptp.bot_bot_set_int)))))
% 16.06/16.26 (assume a1905 (forall ((A4 tptp.set_nat) (A tptp.nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat A B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) (tptp.insert_nat A tptp.bot_bot_set_nat)))))
% 16.06/16.26 (assume a1906 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) A4)) (= (tptp.insert9069300056098147895at_nat A (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))) A4))))
% 16.06/16.26 (assume a1907 (forall ((A tptp.complex) (A4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4)) (= (tptp.insert_complex A (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) A4))))
% 16.06/16.26 (assume a1908 (forall ((A tptp.real) (A4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (= (tptp.insert_real A (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) A4))))
% 16.06/16.26 (assume a1909 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4)) (= (tptp.insert8211810215607154385at_nat A (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))) A4))))
% 16.06/16.26 (assume a1910 (forall ((A tptp.bool) (A4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4)) (= (tptp.insert_bool A (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool))) A4))))
% 16.06/16.26 (assume a1911 (forall ((A tptp.int) (A4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4)) (= (tptp.insert_int A (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int))) A4))))
% 16.06/16.26 (assume a1912 (forall ((A tptp.nat) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4)) (= (tptp.insert_nat A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat A tptp.bot_bot_set_nat))) A4))))
% 16.06/16.26 (assume a1913 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (A tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.insert9069300056098147895at_nat A B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))) B4))))
% 16.06/16.26 (assume a1914 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.insert8211810215607154385at_nat A B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))) B4))))
% 16.06/16.26 (assume a1915 (forall ((A4 tptp.set_bool) (A tptp.bool) (B4 tptp.set_bool)) (= (tptp.minus_minus_set_bool A4 (tptp.insert_bool A B4)) (tptp.minus_minus_set_bool (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool)) B4))))
% 16.06/16.26 (assume a1916 (forall ((A4 tptp.set_int) (A tptp.int) (B4 tptp.set_int)) (= (tptp.minus_minus_set_int A4 (tptp.insert_int A B4)) (tptp.minus_minus_set_int (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int)) B4))))
% 16.06/16.26 (assume a1917 (forall ((A4 tptp.set_nat) (A tptp.nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat A B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat A tptp.bot_bot_set_nat))) B4))))
% 16.06/16.26 (assume a1918 (forall ((X3 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) A4))) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat (tptp.insert9069300056098147895at_nat X3 A4)) (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat)) A4))))
% 16.06/16.26 (assume a1919 (forall ((X3 tptp.complex) (A4 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (= (tptp.minus_811609699411566653omplex (tptp.insert_complex X3 A4) (tptp.insert_complex X3 tptp.bot_bot_set_complex)) A4))))
% 16.06/16.26 (assume a1920 (forall ((X3 tptp.real) (A4 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.minus_minus_set_real (tptp.insert_real X3 A4) (tptp.insert_real X3 tptp.bot_bot_set_real)) A4))))
% 16.06/16.26 (assume a1921 (forall ((X3 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) A4))) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat (tptp.insert8211810215607154385at_nat X3 A4)) (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat)) A4))))
% 16.06/16.26 (assume a1922 (forall ((X3 tptp.bool) (A4 tptp.set_bool)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (= (tptp.minus_minus_set_bool (tptp.insert_bool X3 A4) (tptp.insert_bool X3 tptp.bot_bot_set_bool)) A4))))
% 16.06/16.26 (assume a1923 (forall ((X3 tptp.int) (A4 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (= (tptp.minus_minus_set_int (tptp.insert_int X3 A4) (tptp.insert_int X3 tptp.bot_bot_set_int)) A4))))
% 16.06/16.26 (assume a1924 (forall ((X3 tptp.nat) (A4 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.insert_nat X3 A4)) (tptp.insert_nat X3 tptp.bot_bot_set_nat)) A4))))
% 16.06/16.26 (assume a1925 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (X3 tptp.product_prod_nat_nat) (C2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat B4) (tptp.insert8211810215607154385at_nat X3 C2)))) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat B4) C2))) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) A4)))))))
% 16.06/16.26 (assume a1926 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (X3 tptp.produc3843707927480180839at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat B4) (tptp.insert9069300056098147895at_nat X3 C2)))) (and (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat B4) C2))) (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) A4)))))))
% 16.06/16.26 (assume a1927 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (X3 tptp.complex) (C2 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) (tptp.minus_811609699411566653omplex B4 (tptp.insert_complex X3 C2)))) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) (tptp.minus_811609699411566653omplex B4 C2))) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)))))))
% 16.06/16.26 (assume a1928 (forall ((A4 tptp.set_real) (B4 tptp.set_real) (X3 tptp.real) (C2 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) (tptp.minus_minus_set_real B4 (tptp.insert_real X3 C2)))) (and (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) (tptp.minus_minus_set_real B4 C2))) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)))))))
% 16.06/16.26 (assume a1929 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (X3 tptp.bool) (C2 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) (tptp.minus_minus_set_bool B4 (tptp.insert_bool X3 C2)))) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) (tptp.minus_minus_set_bool B4 C2))) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)))))))
% 16.06/16.26 (assume a1930 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (X3 tptp.int) (C2 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) (tptp.minus_minus_set_int B4 (tptp.insert_int X3 C2)))) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) (tptp.minus_minus_set_int B4 C2))) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)))))))
% 16.06/16.26 (assume a1931 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (X3 tptp.nat) (C2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) (tptp.insert_nat X3 C2)))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) C2))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4)))))))
% 16.06/16.26 (assume a1932 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) B4)) C2)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) C2))))))
% 16.06/16.26 (assume a1933 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) C2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) C2))))))
% 16.06/16.26 (assume a1934 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) B4)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat B4) A4)) B4))))
% 16.06/16.26 (assume a1935 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)) B4))))
% 16.06/16.26 (assume a1936 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (X3 tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) (tptp.insert9069300056098147895at_nat X3 B4))) (and (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) A4)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat))) B4))) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) A4))) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) B4)))))))
% 16.06/16.26 (assume a1937 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (B4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) (tptp.insert_complex X3 B4))) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex))) B4))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)))))))
% 16.06/16.26 (assume a1938 (forall ((A4 tptp.set_real) (X3 tptp.real) (B4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) (tptp.insert_real X3 B4))) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.minus_minus_set_real A4 (tptp.insert_real X3 tptp.bot_bot_set_real))) B4))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)))))))
% 16.06/16.26 (assume a1939 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (X3 tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) (tptp.insert8211810215607154385at_nat X3 B4))) (and (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) A4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat))) B4))) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) A4))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4)))))))
% 16.06/16.26 (assume a1940 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (B4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) (tptp.insert_bool X3 B4))) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))) B4))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)))))))
% 16.06/16.26 (assume a1941 (forall ((A4 tptp.set_int) (X3 tptp.int) (B4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) (tptp.insert_int X3 B4))) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.minus_minus_set_int A4 (tptp.insert_int X3 tptp.bot_bot_set_int))) B4))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)))))))
% 16.06/16.26 (assume a1942 (forall ((A4 tptp.set_nat) (X3 tptp.nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.insert_nat X3 B4))) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat X3 tptp.bot_bot_set_nat))) B4))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)))))))
% 16.06/16.26 (assume a1943 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (X3 tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat))) B4)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) (tptp.insert9069300056098147895at_nat X3 B4))))))
% 16.06/16.26 (assume a1944 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (X3 tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat))) B4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) (tptp.insert8211810215607154385at_nat X3 B4))))))
% 16.06/16.26 (assume a1945 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))) B4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) (tptp.insert_bool X3 B4))))))
% 16.06/16.26 (assume a1946 (forall ((A4 tptp.set_int) (X3 tptp.int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.minus_minus_set_int A4 (tptp.insert_int X3 tptp.bot_bot_set_int))) B4)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) (tptp.insert_int X3 B4))))))
% 16.06/16.26 (assume a1947 (forall ((A4 tptp.set_nat) (X3 tptp.nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat X3 tptp.bot_bot_set_nat))) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.insert_nat X3 B4))))))
% 16.06/16.26 (assume a1948 (forall ((X3 tptp.complex) (Y tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.minus_minus_complex Y) X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.26 (assume a1949 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.minus_minus_real X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.minus_minus_real Y) X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.26 (assume a1950 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat Y) X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.26 (assume a1951 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Y) X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.26 (assume a1952 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (X3 tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le2604355607129572851at_nat A4) (tptp.insert9069300056098147895at_nat X3 B4))) (and (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) B4)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le2604355607129572851at_nat A4) B4))) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) B4))) (and (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) A4)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le2604355607129572851at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat))) B4))) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X3) A4))) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) B4)))))))))
% 16.06/16.26 (assume a1953 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (B4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_less_set_complex A4) (tptp.insert_complex X3 B4))) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) B4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_less_set_complex A4) B4))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) B4))) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_less_set_complex (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex))) B4))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)))))))))
% 16.06/16.26 (assume a1954 (forall ((A4 tptp.set_real) (X3 tptp.real) (B4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A4) (tptp.insert_real X3 B4))) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) B4)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A4) B4))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) B4))) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real (tptp.minus_minus_set_real A4 (tptp.insert_real X3 tptp.bot_bot_set_real))) B4))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)))))))))
% 16.06/16.26 (assume a1955 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (X3 tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le7866589430770878221at_nat A4) (tptp.insert8211810215607154385at_nat X3 B4))) (and (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) B4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le7866589430770878221at_nat A4) B4))) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) B4))) (and (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) A4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le7866589430770878221at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat))) B4))) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) A4))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4)))))))))
% 16.06/16.26 (assume a1956 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (B4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_set_bool A4) (tptp.insert_bool X3 B4))) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) B4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_set_bool A4) B4))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) B4))) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_set_bool (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))) B4))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)))))))))
% 16.06/16.26 (assume a1957 (forall ((A4 tptp.set_int) (X3 tptp.int) (B4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A4) (tptp.insert_int X3 B4))) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) B4)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A4) B4))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) B4))) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int (tptp.minus_minus_set_int A4 (tptp.insert_int X3 tptp.bot_bot_set_int))) B4))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)))))))))
% 16.06/16.26 (assume a1958 (forall ((A4 tptp.set_nat) (X3 tptp.nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) (tptp.insert_nat X3 B4))) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) B4))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) B4))) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat X3 tptp.bot_bot_set_nat))) B4))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)))))))))
% 16.06/16.26 (assume a1959 (forall ((Y tptp.set_Pr4329608150637261639at_nat) (X3 tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat Y) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Y)))))
% 16.06/16.26 (assume a1960 (forall ((Y tptp.set_nat) (X3 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Y)))))
% 16.06/16.26 (assume a1961 (forall ((Y tptp.rat) (X3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat X3) Y)))))
% 16.06/16.26 (assume a1962 (forall ((Y tptp.nat) (X3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat X3) Y)))))
% 16.06/16.26 (assume a1963 (forall ((Y tptp.int) (X3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int X3) Y)))))
% 16.06/16.26 (assume a1964 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Y)))))
% 16.06/16.26 (assume a1965 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Y)))))
% 16.06/16.26 (assume a1966 (forall ((X3 tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat X3) Y)))))
% 16.06/16.26 (assume a1967 (forall ((X3 tptp.nat) (Y tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat X3) Y)))))
% 16.06/16.26 (assume a1968 (forall ((X3 tptp.int) (Y tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int X3) Y)))))
% 16.06/16.26 (assume a1969 (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (X3 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B)) X3)) (not (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A) X3)) (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B) X3))))))))
% 16.06/16.26 (assume a1970 (forall ((A tptp.set_nat) (B tptp.set_nat) (X3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B)) X3)) (not (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) X3)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) X3))))))))
% 16.06/16.26 (assume a1971 (forall ((A tptp.rat) (B tptp.rat) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B)) X3)) (not (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) X3)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) X3))))))))
% 16.06/16.26 (assume a1972 (forall ((A tptp.nat) (B tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B)) X3)) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) X3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) X3))))))))
% 16.06/16.26 (assume a1973 (forall ((A tptp.int) (B tptp.int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B)) X3)) (not (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) X3)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) X3))))))))
% 16.06/16.26 (assume a1974 (forall ((A tptp.set_Pr4329608150637261639at_nat) (X3 tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A) X3)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B) X3)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B)) X3))))))
% 16.06/16.26 (assume a1975 (forall ((A tptp.set_nat) (X3 tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) X3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) X3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B)) X3))))))
% 16.06/16.26 (assume a1976 (forall ((A tptp.rat) (X3 tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B)) X3))))))
% 16.06/16.26 (assume a1977 (forall ((A tptp.nat) (X3 tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) X3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B)) X3))))))
% 16.06/16.26 (assume a1978 (forall ((A tptp.int) (X3 tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) X3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) X3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B)) X3))))))
% 16.06/16.26 (assume a1979 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Y)))))
% 16.06/16.26 (assume a1980 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Y)))))
% 16.06/16.26 (assume a1981 (forall ((X3 tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat X3) Y)))))
% 16.06/16.26 (assume a1982 (forall ((X3 tptp.nat) (Y tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat X3) Y)))))
% 16.06/16.26 (assume a1983 (forall ((X3 tptp.int) (Y tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int X3) Y)))))
% 16.06/16.26 (assume a1984 (forall ((Y tptp.set_Pr4329608150637261639at_nat) (X3 tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat Y) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Y)))))
% 16.06/16.26 (assume a1985 (forall ((Y tptp.set_nat) (X3 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Y)))))
% 16.06/16.26 (assume a1986 (forall ((Y tptp.rat) (X3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat X3) Y)))))
% 16.06/16.26 (assume a1987 (forall ((Y tptp.nat) (X3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat X3) Y)))))
% 16.06/16.26 (assume a1988 (forall ((Y tptp.int) (X3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int X3) Y)))))
% 16.06/16.26 (assume a1989 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X3) A)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B))))))
% 16.06/16.26 (assume a1990 (forall ((X3 tptp.set_nat) (A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B))))))
% 16.06/16.26 (assume a1991 (forall ((X3 tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B))))))
% 16.06/16.26 (assume a1992 (forall ((X3 tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B))))))
% 16.06/16.26 (assume a1993 (forall ((X3 tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B))))))
% 16.06/16.26 (assume a1994 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X3) B)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B))))))
% 16.06/16.26 (assume a1995 (forall ((X3 tptp.set_nat) (B tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B))))))
% 16.06/16.26 (assume a1996 (forall ((X3 tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B))))))
% 16.06/16.26 (assume a1997 (forall ((X3 tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B))))))
% 16.06/16.26 (assume a1998 (forall ((X3 tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B))))))
% 16.06/16.26 (assume a1999 (forall ((C tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat) (D tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat C) A)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat D) B)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat C) D)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B)))))))
% 16.06/16.26 (assume a2000 (forall ((C tptp.set_nat) (A tptp.set_nat) (D tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) A)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat D) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat C) D)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B)))))))
% 16.06/16.26 (assume a2001 (forall ((C tptp.rat) (A tptp.rat) (D tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat D) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat C) D)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B)))))))
% 16.06/16.26 (assume a2002 (forall ((C tptp.nat) (A tptp.nat) (D tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat D) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat C) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B)))))))
% 16.06/16.26 (assume a2003 (forall ((C tptp.int) (A tptp.int) (D tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int D) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int C) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B)))))))
% 16.06/16.26 (assume a2004 (forall ((A tptp.set_Pr4329608150637261639at_nat) (C tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (D tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A) C)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B) D)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat C) D)))))))
% 16.06/16.26 (assume a2005 (forall ((A tptp.set_nat) (C tptp.set_nat) (B tptp.set_nat) (D tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) C)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) D)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat C) D)))))))
% 16.06/16.26 (assume a2006 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat C) D)))))))
% 16.06/16.26 (assume a2007 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat C) D)))))))
% 16.06/16.26 (assume a2008 (forall ((A tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int C) D)))))))
% 16.06/16.26 (assume a2009 (forall ((Y tptp.set_Pr4329608150637261639at_nat) (X3 tptp.set_Pr4329608150637261639at_nat) (Z tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat Y) X3)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat Z) X3)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat Y) Z)) X3))))))
% 16.06/16.26 (assume a2010 (forall ((Y tptp.set_nat) (X3 tptp.set_nat) (Z tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Z) X3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat Y) Z)) X3))))))
% 16.06/16.26 (assume a2011 (forall ((Y tptp.rat) (X3 tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat Y) Z)) X3))))))
% 16.06/16.26 (assume a2012 (forall ((Y tptp.nat) (X3 tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat Y) Z)) X3))))))
% 16.06/16.26 (assume a2013 (forall ((Y tptp.int) (X3 tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) X3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int Y) Z)) X3))))))
% 16.06/16.26 (assume a2014 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X3) Y)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Y) Y))))
% 16.06/16.26 (assume a2015 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Y) Y))))
% 16.06/16.26 (assume a2016 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat X3) Y) Y))))
% 16.06/16.26 (assume a2017 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat X3) Y) Y))))
% 16.06/16.26 (assume a2018 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int X3) Y) Y))))
% 16.06/16.26 (assume a2019 (forall ((B tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B) A)) (= A (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B)))))
% 16.06/16.26 (assume a2020 (forall ((B tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (= A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B)))))
% 16.06/16.26 (assume a2021 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B)))))
% 16.06/16.26 (assume a2022 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B)))))
% 16.06/16.26 (assume a2023 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B)))))
% 16.06/16.26 (assume a2024 (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (= A (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B) A)))))
% 16.06/16.26 (assume a2025 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (= A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)))))
% 16.06/16.26 (assume a2026 (forall ((A tptp.rat) (B tptp.rat)) (=> (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))
% 16.06/16.26 (assume a2027 (forall ((A tptp.nat) (B tptp.nat)) (=> (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)))))
% 16.06/16.26 (assume a2028 (forall ((A tptp.int) (B tptp.int)) (=> (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)))))
% 16.06/16.26 (assume a2029 (forall ((F tptp.fun_se177437144654672861at_nat) (X3 tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (=> (forall ((X5 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X5) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat F X5) Y3)))) (=> (forall ((X5 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat Y3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat F X5) Y3)))) (=> (forall ((X5 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (Z2 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat Y3) X5)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat Z2) X5)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat F Y3) Z2)) X5))))) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Y) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat F X3) Y)))))))
% 16.06/16.26 (assume a2030 (forall ((F tptp.fun_se1909708154429037836et_nat) (X3 tptp.set_nat) (Y tptp.set_nat)) (=> (forall ((X5 tptp.set_nat) (Y3 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat F X5) Y3)))) (=> (forall ((X5 tptp.set_nat) (Y3 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat F X5) Y3)))) (=> (forall ((X5 tptp.set_nat) (Y3 tptp.set_nat) (Z2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y3) X5)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Z2) X5)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat F Y3) Z2)) X5))))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Y) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat F X3) Y)))))))
% 16.06/16.26 (assume a2031 (forall ((F tptp.fun_rat_fun_rat_rat) (X3 tptp.rat) (Y tptp.rat)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat F X5) Y3)))) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat F X5) Y3)))) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat) (Z2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y3) X5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z2) X5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat F Y3) Z2)) X5))))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat X3) Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat F X3) Y)))))))
% 16.06/16.26 (assume a2032 (forall ((F tptp.fun_nat_fun_nat_nat) (X3 tptp.nat) (Y tptp.nat)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F X5) Y3)))) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F X5) Y3)))) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat) (Z2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) X5)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z2) X5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F Y3) Z2)) X5))))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat X3) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F X3) Y)))))))
% 16.06/16.26 (assume a2033 (forall ((F tptp.fun_int_fun_int_int) (X3 tptp.int) (Y tptp.int)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X5) (tptp.aa_int_int (tptp.aa_int_fun_int_int F X5) Y3)))) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y3) (tptp.aa_int_int (tptp.aa_int_fun_int_int F X5) Y3)))) (=> (forall ((X5 tptp.int) (Y3 tptp.int) (Z2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y3) X5)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z2) X5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int F Y3) Z2)) X5))))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int X3) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int F X3) Y)))))))
% 16.06/16.26 (assume a2034 (forall ((B tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B) A)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B) A))))
% 16.06/16.26 (assume a2035 (forall ((B tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B) A))))
% 16.06/16.26 (assume a2036 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B) A))))
% 16.06/16.26 (assume a2037 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B) A))))
% 16.06/16.26 (assume a2038 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B) A))))
% 16.06/16.26 (assume a2039 (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A) B)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B) B))))
% 16.06/16.26 (assume a2040 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B) B))))
% 16.06/16.26 (assume a2041 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B) B))))
% 16.06/16.26 (assume a2042 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B) B))))
% 16.06/16.26 (assume a2043 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B) B))))
% 16.06/16.26 (assume a2044 (forall ((Y tptp.set_Pr4329608150637261639at_nat) (X3 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat Y) X3)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Y) X3))))
% 16.06/16.26 (assume a2045 (forall ((Y tptp.set_nat) (X3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X3)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Y) X3))))
% 16.06/16.26 (assume a2046 (forall ((Y tptp.rat) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat X3) Y) X3))))
% 16.06/16.26 (assume a2047 (forall ((Y tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat X3) Y) X3))))
% 16.06/16.26 (assume a2048 (forall ((Y tptp.int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int X3) Y) X3))))
% 16.06/16.26 (assume a2049 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X3) Y)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Y) Y))))
% 16.06/16.26 (assume a2050 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Y) Y))))
% 16.06/16.26 (assume a2051 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat X3) Y) Y))))
% 16.06/16.26 (assume a2052 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat X3) Y) Y))))
% 16.06/16.26 (assume a2053 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int X3) Y) Y))))
% 16.06/16.26 (assume a2054 (forall ((B tptp.set_Pr4329608150637261639at_nat) (C tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B) C)) A)) (not (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B) A)) (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat C) A))))))))
% 16.06/16.26 (assume a2055 (forall ((B tptp.set_nat) (C tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B) C)) A)) (not (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) A))))))))
% 16.06/16.26 (assume a2056 (forall ((B tptp.rat) (C tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat B) C)) A)) (not (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A))))))))
% 16.06/16.26 (assume a2057 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat B) C)) A)) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A))))))))
% 16.06/16.26 (assume a2058 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int B) C)) A)) (not (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A))))))))
% 16.06/16.26 (assume a2059 (forall ((B tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat) (C tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B) A)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat C) A)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B) C)) A))))))
% 16.06/16.26 (assume a2060 (forall ((B tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B) C)) A))))))
% 16.06/16.26 (assume a2061 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat B) C)) A))))))
% 16.06/16.26 (assume a2062 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat B) C)) A))))))
% 16.06/16.26 (assume a2063 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int B) C)) A))))))
% 16.06/16.26 (assume a2064 (forall ((B tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B) A)) (= A (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B)))))
% 16.06/16.26 (assume a2065 (forall ((B tptp.set_nat) (A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (= A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B)))))
% 16.06/16.26 (assume a2066 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B)))))
% 16.06/16.26 (assume a2067 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B)))))
% 16.06/16.26 (assume a2068 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B)))))
% 16.06/16.26 (assume a2069 (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B)))))
% 16.06/16.26 (assume a2070 (forall ((A tptp.set_nat) (B tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B)))))
% 16.06/16.26 (assume a2071 (forall ((A tptp.rat) (B tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B)))))
% 16.06/16.26 (assume a2072 (forall ((A tptp.nat) (B tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B)))))
% 16.06/16.26 (assume a2073 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B)))))
% 16.06/16.26 (assume a2074 (forall ((B tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B)))))
% 16.06/16.26 (assume a2075 (forall ((B tptp.set_nat) (A tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B)))))
% 16.06/16.26 (assume a2076 (forall ((B tptp.rat) (A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B)))))
% 16.06/16.26 (assume a2077 (forall ((B tptp.nat) (A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B)))))
% 16.06/16.26 (assume a2078 (forall ((B tptp.int) (A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B)))))
% 16.06/16.26 (assume a2079 (forall ((B tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat B) A)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B) A))))
% 16.06/16.26 (assume a2080 (forall ((B tptp.set_nat) (A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B) A))))
% 16.06/16.26 (assume a2081 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B) A))))
% 16.06/16.26 (assume a2082 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B) A))))
% 16.06/16.26 (assume a2083 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B) A))))
% 16.06/16.26 (assume a2084 (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A) B)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B) B))))
% 16.06/16.26 (assume a2085 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B) B))))
% 16.06/16.26 (assume a2086 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B) B))))
% 16.06/16.26 (assume a2087 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B) B))))
% 16.06/16.26 (assume a2088 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B) B))))
% 16.06/16.26 (assume a2089 (forall ((C tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat C) A)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat C) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B))))))
% 16.06/16.26 (assume a2090 (forall ((C tptp.set_nat) (A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B))))))
% 16.06/16.26 (assume a2091 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B))))))
% 16.06/16.26 (assume a2092 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B))))))
% 16.06/16.26 (assume a2093 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B))))))
% 16.06/16.26 (assume a2094 (forall ((C tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat C) B)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat C) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A) B))))))
% 16.06/16.26 (assume a2095 (forall ((C tptp.set_nat) (B tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A) B))))))
% 16.06/16.26 (assume a2096 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat A) B))))))
% 16.06/16.26 (assume a2097 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat A) B))))))
% 16.06/16.26 (assume a2098 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int A) B))))))
% 16.06/16.26 (assume a2099 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary tptp.vEBT_VEBT) (M2 tptp.nat) (Deg tptp.nat) (Mi tptp.nat) (Ma tptp.nat)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X5) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary) M2)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (=> (= M2 N) (=> (= Deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (= (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I3)) X_12))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) I3))))) (=> (=> (= Mi Ma) (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 TreeList))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X5) X_13))))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg))) (=> (=> (not (= Mi Ma)) (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma) N) I3) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma) N)))) (forall ((X5 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X5) N) I3) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X5) N)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Ma))))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) Deg))))))))))))))
% 16.06/16.26 (assume a2100 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary tptp.vEBT_VEBT) (M2 tptp.nat) (Deg tptp.nat) (Mi tptp.nat) (Ma tptp.nat)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X5) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary) M2)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (=> (= M2 (tptp.aa_nat_nat tptp.suc N)) (=> (= Deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (= (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I3)) X_12))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) I3))))) (=> (=> (= Mi Ma) (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 TreeList))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X5) X_13))))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg))) (=> (=> (not (= Mi Ma)) (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma) N) I3) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma) N)))) (forall ((X5 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X5) N) I3) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X5) N)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Ma))))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) Deg))))))))))))))
% 16.06/16.26 (assume a2101 (forall ((N tptp.nat) (TreeList tptp.list_VEBT_VEBT) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5917875025757280293ildren N TreeList) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) N))))))
% 16.06/16.26 (assume a2102 (forall ((X3 tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Mi tptp.nat) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) X3)))))))
% 16.06/16.26 (assume a2103 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) X3)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (or (= X3 Mi) (= X3 Ma) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Ma)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 16.06/16.26 (assume a2104 (forall ((Deg tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) X3)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= X3 Mi) (= X3 Ma))))))
% 16.06/16.26 (assume a2105 (forall ((Deg tptp.nat) (X3 tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Mi tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) tptp.none_nat))))))
% 16.06/16.26 (assume a2106 (forall ((Deg tptp.nat) (Mi tptp.nat) (X3 tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) X3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) tptp.none_nat))))))
% 16.06/16.26 (assume a2107 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node Info Deg TreeList Summary)) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_Node Info Deg TreeList Summary)) X3)))))))
% 16.06/16.26 (assume a2108 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (= (tptp.aa_real_real (tptp.plus_plus_real B) (tptp.aa_real_real (tptp.minus_minus_real A) B)) A))))
% 16.06/16.26 (assume a2109 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) A))))
% 16.06/16.26 (assume a2110 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B)) A))))
% 16.06/16.26 (assume a2111 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) A))))
% 16.06/16.26 (assume a2112 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) B) A))))
% 16.06/16.26 (assume a2113 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) B) A))))
% 16.06/16.26 (assume a2114 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B)) B) A))))
% 16.06/16.26 (assume a2115 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) B) A))))
% 16.06/16.26 (assume a2116 (forall ((X3 tptp.nat) (N tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) X3)) N) X3))))
% 16.06/16.26 (assume a2117 (forall ((M2 tptp.nat) (N tptp.nat) (K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc M2)) N)) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) K2))))
% 16.06/16.26 (assume a2118 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N))))
% 16.06/16.26 (assume a2119 (forall ((I tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) I)) I))))
% 16.06/16.26 (assume a2120 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) J)) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K2)))))
% 16.06/16.26 (assume a2121 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.26 (assume a2122 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))))
% 16.06/16.26 (assume a2123 (forall ((X3 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.26 (assume a2124 (forall ((X3 tptp.nat) (N tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) X3)) N) Y))))
% 16.06/16.26 (assume a2125 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex M2)) (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N)))))
% 16.06/16.26 (assume a2126 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N)))))
% 16.06/16.26 (assume a2127 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N)))))
% 16.06/16.26 (assume a2128 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N)))))
% 16.06/16.26 (assume a2129 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N)))))
% 16.06/16.26 (assume a2130 (forall ((V2 tptp.num) (W tptp.num) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W))) Z))))
% 16.06/16.26 (assume a2131 (forall ((V2 tptp.num) (W tptp.num) (Z tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) Z)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W))) Z))))
% 16.06/16.26 (assume a2132 (forall ((V2 tptp.num) (W tptp.num) (Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W))) Z))))
% 16.06/16.26 (assume a2133 (forall ((V2 tptp.num) (W tptp.num) (Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W))) Z))))
% 16.06/16.26 (assume a2134 (forall ((V2 tptp.num) (W tptp.num) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int W)) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W))) Z))))
% 16.06/16.26 (assume a2135 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) tptp.one_one_complex) A)))
% 16.06/16.26 (assume a2136 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real A) tptp.one_one_real) A)))
% 16.06/16.26 (assume a2137 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) tptp.one_one_rat) A)))
% 16.06/16.26 (assume a2138 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) tptp.one_one_nat) A)))
% 16.06/16.26 (assume a2139 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) tptp.one_one_int) A)))
% 16.06/16.26 (assume a2140 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.one_one_complex) A) A)))
% 16.06/16.26 (assume a2141 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real tptp.one_one_real) A) A)))
% 16.06/16.26 (assume a2142 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat tptp.one_one_rat) A) A)))
% 16.06/16.26 (assume a2143 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) A) A)))
% 16.06/16.26 (assume a2144 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int tptp.one_one_int) A) A)))
% 16.06/16.26 (assume a2145 (forall ((H tptp.nat) (L tptp.nat) (D tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.vEBT_VEBT_bit_concat H) L) D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat H) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) D))) L))))
% 16.06/16.26 (assume a2146 (forall ((K2 tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) J)))))
% 16.06/16.26 (assume a2147 (forall ((K2 tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K2)) I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) I)) K2)))))
% 16.06/16.26 (assume a2148 (forall ((K2 tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J)) K2)))))
% 16.06/16.26 (assume a2149 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_nat) N)))
% 16.06/16.26 (assume a2150 (forall ((M2 tptp.nat) (N tptp.nat)) (= (= tptp.one_one_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (and (= M2 tptp.one_one_nat) (= N tptp.one_one_nat)))))
% 16.06/16.26 (assume a2151 (forall ((M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N) tptp.one_one_nat) (and (= M2 tptp.one_one_nat) (= N tptp.one_one_nat)))))
% 16.06/16.26 (assume a2152 (forall ((A tptp.complex) (B tptp.complex) (V2 tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (tptp.numera6690914467698888265omplex V2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex V2))) (tptp.aa_complex_complex (tptp.times_times_complex B) (tptp.numera6690914467698888265omplex V2))))))
% 16.06/16.26 (assume a2153 (forall ((A tptp.real) (B tptp.real) (V2 tptp.num)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_real_real (tptp.times_times_real B) (tptp.aa_num_real tptp.numeral_numeral_real V2))))))
% 16.06/16.26 (assume a2154 (forall ((A tptp.rat) (B tptp.rat) (V2 tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))))))
% 16.06/16.26 (assume a2155 (forall ((A tptp.nat) (B tptp.nat) (V2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat V2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) (tptp.aa_num_nat tptp.numeral_numeral_nat V2))))))
% 16.06/16.26 (assume a2156 (forall ((A tptp.int) (B tptp.int) (V2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) (tptp.aa_num_int tptp.numeral_numeral_int V2))))))
% 16.06/16.26 (assume a2157 (forall ((V2 tptp.num) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V2)) (tptp.aa_complex_complex (tptp.plus_plus_complex B) C)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V2)) B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V2)) C)))))
% 16.06/16.26 (assume a2158 (forall ((V2 tptp.num) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_real_real (tptp.plus_plus_real B) C)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) B)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) C)))))
% 16.06/16.26 (assume a2159 (forall ((V2 tptp.num) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) C)))))
% 16.06/16.26 (assume a2160 (forall ((V2 tptp.num) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) C)))))
% 16.06/16.26 (assume a2161 (forall ((V2 tptp.num) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) C)))))
% 16.06/16.26 (assume a2162 (forall ((A tptp.complex) (B tptp.complex) (V2 tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B)) (tptp.numera6690914467698888265omplex V2)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex V2))) (tptp.aa_complex_complex (tptp.times_times_complex B) (tptp.numera6690914467698888265omplex V2))))))
% 16.06/16.26 (assume a2163 (forall ((A tptp.real) (B tptp.real) (V2 tptp.num)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_real_real (tptp.times_times_real B) (tptp.aa_num_real tptp.numeral_numeral_real V2))))))
% 16.06/16.26 (assume a2164 (forall ((A tptp.rat) (B tptp.rat) (V2 tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))))))
% 16.06/16.26 (assume a2165 (forall ((A tptp.int) (B tptp.int) (V2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) (tptp.aa_num_int tptp.numeral_numeral_int V2))))))
% 16.06/16.26 (assume a2166 (forall ((V2 tptp.num) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V2)) (tptp.aa_complex_complex (tptp.minus_minus_complex B) C)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V2)) B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V2)) C)))))
% 16.06/16.26 (assume a2167 (forall ((V2 tptp.num) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_real_real (tptp.minus_minus_real B) C)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) B)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) C)))))
% 16.06/16.26 (assume a2168 (forall ((V2 tptp.num) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) C)))))
% 16.06/16.26 (assume a2169 (forall ((V2 tptp.num) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) C)))))
% 16.06/16.26 (assume a2170 (forall ((K2 tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K2))) I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc J)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) I))))))
% 16.06/16.26 (assume a2171 (forall ((K2 tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) (tptp.aa_nat_nat tptp.suc J))))))
% 16.06/16.26 (assume a2172 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)))))
% 16.06/16.26 (assume a2173 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) N)) (=> (not (= Mi Ma)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) Ma)) (exists ((M tptp.nat)) (and (= (tptp.some_nat M) (tptp.vEBT_vebt_mint Summary)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))))
% 16.06/16.26 (assume a2174 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W))) B)))))
% 16.06/16.26 (assume a2175 (forall ((A tptp.rat) (B tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) B)))))
% 16.06/16.26 (assume a2176 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W)))))))
% 16.06/16.26 (assume a2177 (forall ((B tptp.rat) (W tptp.num) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W)))))))
% 16.06/16.26 (assume a2178 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W)))))))
% 16.06/16.26 (assume a2179 (forall ((B tptp.rat) (W tptp.num) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W)))))))
% 16.06/16.26 (assume a2180 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W))) B)))))
% 16.06/16.26 (assume a2181 (forall ((A tptp.rat) (B tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) B)))))
% 16.06/16.26 (assume a2182 (forall ((A tptp.complex) (M2 tptp.num) (N tptp.num) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))) B))))
% 16.06/16.26 (assume a2183 (forall ((A tptp.real) (M2 tptp.num) (N tptp.num) (B tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))) B))))
% 16.06/16.26 (assume a2184 (forall ((A tptp.rat) (M2 tptp.num) (N tptp.num) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))) B))))
% 16.06/16.26 (assume a2185 (forall ((A tptp.nat) (M2 tptp.num) (N tptp.num) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))) B))))
% 16.06/16.26 (assume a2186 (forall ((A tptp.int) (M2 tptp.num) (N tptp.num) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))) B))))
% 16.06/16.26 (assume a2187 (forall ((A tptp.complex) (M2 tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N))))))
% 16.06/16.26 (assume a2188 (forall ((A tptp.real) (M2 tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N))))))
% 16.06/16.26 (assume a2189 (forall ((A tptp.rat) (M2 tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N))))))
% 16.06/16.26 (assume a2190 (forall ((A tptp.nat) (M2 tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N))))))
% 16.06/16.26 (assume a2191 (forall ((A tptp.int) (M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N))))))
% 16.06/16.26 (assume a2192 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) N)))))
% 16.06/16.26 (assume a2193 (forall ((M2 tptp.nat) (N tptp.nat) (K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K2)))))
% 16.06/16.26 (assume a2194 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real A) B)) C) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_real_real (tptp.times_times_real B) C)))))
% 16.06/16.26 (assume a2195 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C)))))
% 16.06/16.26 (assume a2196 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C)))))
% 16.06/16.26 (assume a2197 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)))))
% 16.06/16.26 (assume a2198 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real A) B)) C) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_real_real (tptp.times_times_real B) C)))))
% 16.06/16.26 (assume a2199 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C)))))
% 16.06/16.26 (assume a2200 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C)))))
% 16.06/16.26 (assume a2201 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)))))
% 16.06/16.26 (assume a2202 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real A) B) (tptp.aa_real_real (tptp.times_times_real B) A))))
% 16.06/16.26 (assume a2203 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) A))))
% 16.06/16.26 (assume a2204 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) A))))
% 16.06/16.26 (assume a2205 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) A))))
% 16.06/16.26 (assume a2206 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real B) (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_real_real (tptp.times_times_real B) C)))))
% 16.06/16.26 (assume a2207 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C)))))
% 16.06/16.26 (assume a2208 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C)))))
% 16.06/16.26 (assume a2209 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)))))
% 16.06/16.26 (assume a2210 (forall ((A tptp.real) (E tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) E)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real B) E)) C)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) E)) C))))
% 16.06/16.26 (assume a2211 (forall ((A tptp.rat) (E tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) E)) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) E)) C))))
% 16.06/16.26 (assume a2212 (forall ((A tptp.nat) (E tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) E)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) E)) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) E)) C))))
% 16.06/16.26 (assume a2213 (forall ((A tptp.int) (E tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) E)) C))))
% 16.06/16.26 (assume a2214 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) C) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) C)))))
% 16.06/16.26 (assume a2215 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C)))))
% 16.06/16.26 (assume a2216 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C)))))
% 16.06/16.26 (assume a2217 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)))))
% 16.06/16.26 (assume a2218 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_real_real (tptp.plus_plus_real B) C)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) B)) (tptp.aa_real_real (tptp.times_times_real A) C)))))
% 16.06/16.26 (assume a2219 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))
% 16.06/16.26 (assume a2220 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)))))
% 16.06/16.26 (assume a2221 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)))))
% 16.06/16.26 (assume a2222 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) C) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) C)))))
% 16.06/16.26 (assume a2223 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C)))))
% 16.06/16.26 (assume a2224 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C)))))
% 16.06/16.26 (assume a2225 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)))))
% 16.06/16.26 (assume a2226 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_real_real (tptp.plus_plus_real B) C)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) B)) (tptp.aa_real_real (tptp.times_times_real A) C)))))
% 16.06/16.26 (assume a2227 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))
% 16.06/16.26 (assume a2228 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)))))
% 16.06/16.26 (assume a2229 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) C) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) C)))))
% 16.06/16.26 (assume a2230 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C)))))
% 16.06/16.26 (assume a2231 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)))))
% 16.06/16.26 (assume a2232 (forall ((I tptp.nat) (J tptp.nat) (U tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I)) U)) N))))))
% 16.06/16.26 (assume a2233 (forall ((J tptp.nat) (I tptp.nat) (U tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) J)) U)) M2)) N)))))
% 16.06/16.26 (assume a2234 (forall ((I tptp.nat) (J tptp.nat) (U tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I)) U)) N)))))))
% 16.06/16.26 (assume a2235 (forall ((J tptp.nat) (I tptp.nat) (U tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) J)) U)) M2)) N))))))
% 16.06/16.26 (assume a2236 (forall ((I tptp.nat) (J tptp.nat) (U tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N)) (= M2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I)) U)) N))))))
% 16.06/16.26 (assume a2237 (forall ((J tptp.nat) (I tptp.nat) (U tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) J)) U)) M2) N)))))
% 16.06/16.26 (assume a2238 (forall ((A tptp.complex) (B tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B)) N) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) (tptp.aa_nat_complex (tptp.power_power_complex B) N)))))
% 16.06/16.26 (assume a2239 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.divide_divide_real A) B)) N) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N)))))
% 16.06/16.26 (assume a2240 (forall ((A tptp.rat) (B tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) B)) N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B) N)))))
% 16.06/16.26 (assume a2241 (forall ((P tptp.fun_nat_bool) (K2 tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K2)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2))) (tptp.pp (tptp.aa_nat_bool P N2)))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K2) I)))))))
% 16.06/16.26 (assume a2242 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.one_one_complex) A) A)))
% 16.06/16.26 (assume a2243 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real tptp.one_one_real) A) A)))
% 16.06/16.26 (assume a2244 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat tptp.one_one_rat) A) A)))
% 16.06/16.26 (assume a2245 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) A) A)))
% 16.06/16.26 (assume a2246 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int tptp.one_one_int) A) A)))
% 16.06/16.26 (assume a2247 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) tptp.one_one_complex) A)))
% 16.06/16.26 (assume a2248 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real A) tptp.one_one_real) A)))
% 16.06/16.26 (assume a2249 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) tptp.one_one_rat) A)))
% 16.06/16.26 (assume a2250 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) tptp.one_one_nat) A)))
% 16.06/16.26 (assume a2251 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) tptp.one_one_int) A)))
% 16.06/16.26 (assume a2252 (forall ((M2 tptp.nat) (N tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) L)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat L) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat L) M2)))))))
% 16.06/16.26 (assume a2253 (forall ((J tptp.nat) (K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) N)) K2)))))
% 16.06/16.26 (assume a2254 (forall ((X3 tptp.complex) (Y tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex X3) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) X3)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) (tptp.aa_nat_complex (tptp.power_power_complex X3) N))))))
% 16.06/16.26 (assume a2255 (forall ((X3 tptp.real) (Y tptp.real) (N tptp.nat)) (=> (= (tptp.aa_real_real (tptp.times_times_real X3) Y) (tptp.aa_real_real (tptp.times_times_real Y) X3)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real X3) N)) Y) (tptp.aa_real_real (tptp.times_times_real Y) (tptp.aa_nat_real (tptp.power_power_real X3) N))))))
% 16.06/16.26 (assume a2256 (forall ((X3 tptp.rat) (Y tptp.rat) (N tptp.nat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) X3)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) N)) Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) (tptp.aa_nat_rat (tptp.power_power_rat X3) N))))))
% 16.06/16.26 (assume a2257 (forall ((X3 tptp.nat) (Y tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X3) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) X3)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) N)) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) N))))))
% 16.06/16.26 (assume a2258 (forall ((X3 tptp.int) (Y tptp.int) (N tptp.nat)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) X3)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int X3) N)) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) (tptp.aa_nat_int (tptp.power_power_int X3) N))))))
% 16.06/16.26 (assume a2259 (forall ((A tptp.complex) (B tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B)) N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) (tptp.aa_nat_complex (tptp.power_power_complex B) N)))))
% 16.06/16.26 (assume a2260 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.times_times_real A) B)) N) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N)))))
% 16.06/16.26 (assume a2261 (forall ((A tptp.rat) (B tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)) N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B) N)))))
% 16.06/16.26 (assume a2262 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N)))))
% 16.06/16.26 (assume a2263 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B) N)))))
% 16.06/16.26 (assume a2264 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) A) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.06/16.26 (assume a2265 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real A) N)) A) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_nat_real (tptp.power_power_real A) N)))))
% 16.06/16.26 (assume a2266 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 16.06/16.26 (assume a2267 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))
% 16.06/16.26 (assume a2268 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.06/16.26 (assume a2269 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K2)) M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K2)) N)) (= M2 N))))
% 16.06/16.26 (assume a2270 (forall ((M2 tptp.nat) (N tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat L) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat L) M2))))))
% 16.06/16.26 (assume a2271 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat C) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)))))))
% 16.06/16.26 (assume a2272 (forall ((M2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) M2))))
% 16.06/16.26 (assume a2273 (forall ((M2 tptp.nat) (N tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) L)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) L))))))
% 16.06/16.26 (assume a2274 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N))))))
% 16.06/16.26 (assume a2275 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))))
% 16.06/16.26 (assume a2276 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)) (= M2 N))))))
% 16.06/16.26 (assume a2277 (forall ((A tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M2)) N))))
% 16.06/16.26 (assume a2278 (forall ((A tptp.real) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real (tptp.power_power_real A) M2)) N))))
% 16.06/16.26 (assume a2279 (forall ((A tptp.int) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int (tptp.power_power_int A) M2)) N))))
% 16.06/16.26 (assume a2280 (forall ((A tptp.complex) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex (tptp.power_power_complex A) M2)) N))))
% 16.06/16.26 (assume a2281 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) N) M2)))
% 16.06/16.26 (assume a2282 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) N) M2)))
% 16.06/16.26 (assume a2283 (forall ((M2 tptp.nat) (K2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N))))
% 16.06/16.26 (assume a2284 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N))))
% 16.06/16.26 (assume a2285 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) J))))))
% 16.06/16.26 (assume a2286 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) K2))))))
% 16.06/16.26 (assume a2287 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) L)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) L)))))))
% 16.06/16.26 (assume a2288 (forall ((M2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) M2)))))
% 16.06/16.26 (assume a2289 (forall ((M2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) M2))))))
% 16.06/16.26 (assume a2290 (forall ((I tptp.nat) (U tptp.nat) (J tptp.nat) (K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J)) U)) K2))))
% 16.06/16.26 (assume a2291 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) N)))))
% 16.06/16.26 (assume a2292 (forall ((M2 tptp.nat) (N tptp.nat) (K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K2)))))
% 16.06/16.26 (assume a2293 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) N) N)))
% 16.06/16.26 (assume a2294 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) tptp.one_one_nat) N)))
% 16.06/16.26 (assume a2295 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) E)) C) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real B) E)) D)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) E)) C) D))))
% 16.06/16.26 (assume a2296 (forall ((A tptp.rat) (E tptp.rat) (C tptp.rat) (B tptp.rat) (D tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) E)) D)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) E)) C) D))))
% 16.06/16.26 (assume a2297 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) D)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) E)) C) D))))
% 16.06/16.26 (assume a2298 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) E)) C) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real B) E)) D)) (= C (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real B) A)) E)) D)))))
% 16.06/16.26 (assume a2299 (forall ((A tptp.rat) (E tptp.rat) (C tptp.rat) (B tptp.rat) (D tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) E)) D)) (= C (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) A)) E)) D)))))
% 16.06/16.26 (assume a2300 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) D)) (= C (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A)) E)) D)))))
% 16.06/16.26 (assume a2301 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real X3) X3)) (tptp.aa_real_real (tptp.times_times_real Y) Y)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) (tptp.aa_real_real (tptp.minus_minus_real X3) Y)))))
% 16.06/16.26 (assume a2302 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) Y)))))
% 16.06/16.26 (assume a2303 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) Y)))))
% 16.06/16.26 (assume a2304 (forall ((I tptp.nat) (J tptp.nat) (U tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I)) U)) N)))))))
% 16.06/16.26 (assume a2305 (forall ((J tptp.nat) (I tptp.nat) (U tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) J)) U)) M2)) N))))))
% 16.06/16.26 (assume a2306 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) E)) C)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real B) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real B) A)) E)) D))))))
% 16.06/16.26 (assume a2307 (forall ((A tptp.rat) (E tptp.rat) (C tptp.rat) (B tptp.rat) (D tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) E)) D))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) A)) E)) D))))))
% 16.06/16.26 (assume a2308 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A)) E)) D))))))
% 16.06/16.26 (assume a2309 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) E)) C)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real B) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) E)) C)) D)))))
% 16.06/16.26 (assume a2310 (forall ((A tptp.rat) (E tptp.rat) (C tptp.rat) (B tptp.rat) (D tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) E)) D))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) E)) C)) D)))))
% 16.06/16.26 (assume a2311 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) E)) C)) D)))))
% 16.06/16.26 (assume a2312 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.numera6690914467698888265omplex tptp.one)) A)))
% 16.06/16.26 (assume a2313 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.divide_divide_real A) (tptp.aa_num_real tptp.numeral_numeral_real tptp.one)) A)))
% 16.06/16.26 (assume a2314 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one)) A)))
% 16.06/16.26 (assume a2315 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) E)) C)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real B) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real B) A)) E)) D))))))
% 16.06/16.26 (assume a2316 (forall ((A tptp.rat) (E tptp.rat) (C tptp.rat) (B tptp.rat) (D tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) E)) D))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) A)) E)) D))))))
% 16.06/16.26 (assume a2317 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A)) E)) D))))))
% 16.06/16.26 (assume a2318 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) E)) C)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real B) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) E)) C)) D)))))
% 16.06/16.26 (assume a2319 (forall ((A tptp.rat) (E tptp.rat) (C tptp.rat) (B tptp.rat) (D tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) E)) D))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) E)) C)) D)))))
% 16.06/16.26 (assume a2320 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) E)) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) E)) C)) D)))))
% 16.06/16.26 (assume a2321 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex X3) X3)) tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) tptp.one_one_complex)) (tptp.aa_complex_complex (tptp.minus_minus_complex X3) tptp.one_one_complex)))))
% 16.06/16.26 (assume a2322 (forall ((X3 tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real X3) X3)) tptp.one_one_real) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real X3) tptp.one_one_real)) (tptp.aa_real_real (tptp.minus_minus_real X3) tptp.one_one_real)))))
% 16.06/16.26 (assume a2323 (forall ((X3 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) X3)) tptp.one_one_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) tptp.one_one_rat)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) tptp.one_one_rat)))))
% 16.06/16.26 (assume a2324 (forall ((X3 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) X3)) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) tptp.one_one_int)))))
% 16.06/16.26 (assume a2325 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) A)) N) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.06/16.26 (assume a2326 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) A)) N) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real A) N)))))
% 16.06/16.26 (assume a2327 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) A)) N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 16.06/16.26 (assume a2328 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex tptp.one)) A)))
% 16.06/16.26 (assume a2329 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real tptp.one)) A)))
% 16.06/16.26 (assume a2330 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one)) A)))
% 16.06/16.26 (assume a2331 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) A)))
% 16.06/16.26 (assume a2332 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) A)))
% 16.06/16.26 (assume a2333 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex tptp.one)) A) A)))
% 16.06/16.26 (assume a2334 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real tptp.one)) A) A)))
% 16.06/16.26 (assume a2335 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one)) A) A)))
% 16.06/16.26 (assume a2336 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) A) A)))
% 16.06/16.26 (assume a2337 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) A) A)))
% 16.06/16.26 (assume a2338 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)))))
% 16.06/16.26 (assume a2339 (forall ((M2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) (tptp.aa_nat_nat tptp.suc M2)))))
% 16.06/16.26 (assume a2340 (forall ((X3 tptp.complex) (Y tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex X3) Y) tptp.one_one_complex) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) N)) tptp.one_one_complex))))
% 16.06/16.26 (assume a2341 (forall ((X3 tptp.real) (Y tptp.real) (N tptp.nat)) (=> (= (tptp.aa_real_real (tptp.times_times_real X3) Y) tptp.one_one_real) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real X3) N)) (tptp.aa_nat_real (tptp.power_power_real Y) N)) tptp.one_one_real))))
% 16.06/16.26 (assume a2342 (forall ((X3 tptp.rat) (Y tptp.rat) (N tptp.nat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) Y) tptp.one_one_rat) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) N)) (tptp.aa_nat_rat (tptp.power_power_rat Y) N)) tptp.one_one_rat))))
% 16.06/16.26 (assume a2343 (forall ((X3 tptp.nat) (Y tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X3) Y) tptp.one_one_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) N)) tptp.one_one_nat))))
% 16.06/16.26 (assume a2344 (forall ((X3 tptp.int) (Y tptp.int) (N tptp.nat)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) Y) tptp.one_one_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int X3) N)) (tptp.aa_nat_int (tptp.power_power_int Y) N)) tptp.one_one_int))))
% 16.06/16.26 (assume a2345 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc M2)) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N))))))
% 16.06/16.26 (assume a2346 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.06/16.26 (assume a2347 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_nat_real (tptp.power_power_real A) N)))))
% 16.06/16.26 (assume a2348 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 16.06/16.26 (assume a2349 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))
% 16.06/16.26 (assume a2350 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.06/16.26 (assume a2351 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) A))))
% 16.06/16.26 (assume a2352 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real A) N)) A))))
% 16.06/16.26 (assume a2353 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) A))))
% 16.06/16.26 (assume a2354 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) A))))
% 16.06/16.26 (assume a2355 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) N)) A))))
% 16.06/16.26 (assume a2356 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))))
% 16.06/16.26 (assume a2357 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) C)))))))
% 16.06/16.26 (assume a2358 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) J)))))
% 16.06/16.26 (assume a2359 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) M2))))
% 16.06/16.26 (assume a2360 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K2)) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K2)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.26 (assume a2361 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I) K2) (= J (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) I))))))
% 16.06/16.26 (assume a2362 (forall ((K2 tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) I)) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K2)) I)))))
% 16.06/16.26 (assume a2363 (forall ((K2 tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J)) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K2))))))
% 16.06/16.26 (assume a2364 (forall ((K2 tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) J)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) J))))))
% 16.06/16.26 (assume a2365 (forall ((J tptp.nat) (K2 tptp.nat) (I tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K2)) I)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2))))))
% 16.06/16.26 (assume a2366 (forall ((A tptp.complex) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) M2)) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.06/16.26 (assume a2367 (forall ((A tptp.real) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real A) M2)) (tptp.aa_nat_real (tptp.power_power_real A) N)))))
% 16.06/16.26 (assume a2368 (forall ((A tptp.rat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) M2)) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 16.06/16.26 (assume a2369 (forall ((A tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))
% 16.06/16.26 (assume a2370 (forall ((A tptp.int) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) M2)) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.06/16.26 (assume a2371 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K2)) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K2)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.26 (assume a2372 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) tptp.one_one_nat)) N))))
% 16.06/16.26 (assume a2373 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc M2)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)))))
% 16.06/16.26 (assume a2374 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.26 (assume a2375 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.26 (assume a2376 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.26 (assume a2377 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.26 (assume a2378 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.26 (assume a2379 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_nat_real (tptp.power_power_real A) N)))))))
% 16.06/16.26 (assume a2380 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 16.06/16.26 (assume a2381 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))))
% 16.06/16.26 (assume a2382 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 16.06/16.26 (assume a2383 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_nat_real (tptp.power_power_real A) N)))))))
% 16.06/16.26 (assume a2384 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 16.06/16.26 (assume a2385 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))))
% 16.06/16.26 (assume a2386 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 16.06/16.26 (assume a2387 (forall ((K2 tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) J)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K2)) I)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)))))))
% 16.06/16.26 (assume a2388 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) A)) B))))
% 16.06/16.26 (assume a2389 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real (tptp.plus_plus_real A) B)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) A)) B))))
% 16.06/16.26 (assume a2390 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) B))))
% 16.06/16.26 (assume a2391 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) B))))
% 16.06/16.26 (assume a2392 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) B))))
% 16.06/16.26 (assume a2393 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.plus_plus_complex Z) Z))))
% 16.06/16.26 (assume a2394 (forall ((Z tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real Z) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.plus_plus_real Z) Z))))
% 16.06/16.26 (assume a2395 (forall ((Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) Z))))
% 16.06/16.26 (assume a2396 (forall ((Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Z) Z))))
% 16.06/16.26 (assume a2397 (forall ((Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) Z))))
% 16.06/16.26 (assume a2398 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (tptp.aa_complex_complex (tptp.plus_plus_complex Z) Z))))
% 16.06/16.26 (assume a2399 (forall ((Z tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (tptp.aa_real_real (tptp.plus_plus_real Z) Z))))
% 16.06/16.26 (assume a2400 (forall ((Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) Z))))
% 16.06/16.26 (assume a2401 (forall ((Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Z) Z))))
% 16.06/16.26 (assume a2402 (forall ((Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) Z))))
% 16.06/16.26 (assume a2403 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.times_times_complex A) A))))
% 16.06/16.26 (assume a2404 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.times_times_real A) A))))
% 16.06/16.26 (assume a2405 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) A))))
% 16.06/16.26 (assume a2406 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) A))))
% 16.06/16.26 (assume a2407 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) A))))
% 16.06/16.26 (assume a2408 (forall ((X3 tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex X3) X3)) X3)) X3))))
% 16.06/16.26 (assume a2409 (forall ((X3 tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real X3) X3)) X3)) X3))))
% 16.06/16.26 (assume a2410 (forall ((X3 tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) X3)) X3)) X3))))
% 16.06/16.26 (assume a2411 (forall ((X3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X3) X3)) X3)) X3))))
% 16.06/16.26 (assume a2412 (forall ((X3 tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) X3)) X3)) X3))))
% 16.06/16.26 (assume a2413 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.26 (assume a2414 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.26 (assume a2415 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.26 (assume a2416 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.26 (assume a2417 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat K2) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat K2) N)))))))
% 16.06/16.26 (assume a2418 (forall ((X3 tptp.complex) (Y tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) Y)))))
% 16.06/16.26 (assume a2419 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) Y)))))
% 16.06/16.26 (assume a2420 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) Y)))))
% 16.06/16.26 (assume a2421 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) Y)))))
% 16.06/16.26 (assume a2422 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) Y)))))
% 16.06/16.26 (assume a2423 (forall ((X3 tptp.complex) (Y tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) Y)))))
% 16.06/16.26 (assume a2424 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.minus_minus_real X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) Y)))))
% 16.06/16.26 (assume a2425 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) Y)))))
% 16.06/16.26 (assume a2426 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) Y)))))
% 16.06/16.26 (assume a2427 (forall ((I tptp.real) (K2 tptp.real) (N tptp.real) (J tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real I) K2)) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real N) (tptp.aa_real_real (tptp.plus_plus_real J) K2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real I) K2)) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real N) (tptp.aa_real_real (tptp.plus_plus_real J) K2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real N) K2)) J))))))))
% 16.06/16.26 (assume a2428 (forall ((I tptp.rat) (K2 tptp.rat) (N tptp.rat) (J tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K2)) N)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) K2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K2)) N)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) K2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat N) K2)) J))))))))
% 16.06/16.26 (assume a2429 (forall ((I tptp.nat) (K2 tptp.nat) (N tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)) J))))))))
% 16.06/16.26 (assume a2430 (forall ((I tptp.int) (K2 tptp.int) (N tptp.int) (J tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K2)) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) K2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K2)) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) K2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int N) K2)) J))))))))
% 16.06/16.26 (assume a2431 (forall ((I tptp.real) (K2 tptp.real) (N tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real I) K2)) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I) (tptp.aa_real_real (tptp.minus_minus_real N) K2))))))
% 16.06/16.26 (assume a2432 (forall ((I tptp.rat) (K2 tptp.rat) (N tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K2)) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat I) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat N) K2))))))
% 16.06/16.26 (assume a2433 (forall ((I tptp.nat) (K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))))))
% 16.06/16.26 (assume a2434 (forall ((I tptp.int) (K2 tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K2)) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int N) K2))))))
% 16.06/16.26 (assume a2435 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_real_real (tptp.plus_plus_real B) tptp.one_one_real))))))
% 16.06/16.26 (assume a2436 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) tptp.one_one_rat))))))
% 16.06/16.26 (assume a2437 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) tptp.one_one_nat))))))
% 16.06/16.26 (assume a2438 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) tptp.one_one_int))))))
% 16.06/16.26 (assume a2439 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.plus_plus_real A) tptp.one_one_real)))))
% 16.06/16.26 (assume a2440 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)))))
% 16.06/16.26 (assume a2441 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)))))
% 16.06/16.26 (assume a2442 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int)))))
% 16.06/16.26 (assume a2443 (forall ((A tptp.real) (B tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))) (= (tptp.aa_real_real (tptp.plus_plus_real B) (tptp.aa_real_real (tptp.minus_minus_real A) B)) A))))
% 16.06/16.26 (assume a2444 (forall ((A tptp.rat) (B tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) A))))
% 16.06/16.26 (assume a2445 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B)) A))))
% 16.06/16.26 (assume a2446 (forall ((A tptp.int) (B tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) A))))
% 16.06/16.26 (assume a2447 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)))
% 16.06/16.26 (assume a2448 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.26 (assume a2449 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat) (Va tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) N)) (=> (= N (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) Mi))) (=> (not (= Ma Mi)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Va) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Va) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.size_s6755466524823107622T_VEBT TreeList)))))))))
% 16.06/16.26 (assume a2450 (forall ((X3 tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) Y)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.26 (assume a2451 (forall ((X3 tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.26 (assume a2452 (= tptp.vEBT_VEBT_mul (tptp.vEBT_V4262088993061758097ft_nat tptp.times_times_nat)))
% 16.06/16.26 (assume a2453 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) Deg)) (=> (not (= Mi Ma)) (= (tptp.the_nat (tptp.vEBT_vebt_maxt Summary)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.26 (assume a2454 (forall ((A tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))))))
% 16.06/16.26 (assume a2455 (forall ((A tptp.int) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))))))
% 16.06/16.26 (assume a2456 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.26 (assume a2457 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) Y)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.26 (assume a2458 (forall ((N tptp.nat) (Q3 tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q3)) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat tptp.suc Q3)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N) Q3)))))
% 16.06/16.26 (assume a2459 (forall ((M2 tptp.nat) (N tptp.nat)) (not (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.26 (assume a2460 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X3) Y) Z) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat X3)) (tptp.some_nat Y)) (tptp.some_nat Z)))))
% 16.06/16.26 (assume a2461 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.26 (assume a2462 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num tptp.one) N) N)))
% 16.06/16.26 (assume a2463 (forall ((M2 tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) tptp.one) M2)))
% 16.06/16.26 (assume a2464 (forall ((Option tptp.option4927543243414619207at_nat)) (=> (not (= Option tptp.none_P5556105721700978146at_nat)) (= (tptp.some_P7363390416028606310at_nat (tptp.the_Pr8591224930841456533at_nat Option)) Option))))
% 16.06/16.26 (assume a2465 (forall ((Option tptp.option_nat)) (=> (not (= Option tptp.none_nat)) (= (tptp.some_nat (tptp.the_nat Option)) Option))))
% 16.06/16.26 (assume a2466 (forall ((Option tptp.option_num)) (=> (not (= Option tptp.none_num)) (= (tptp.some_num (tptp.the_num Option)) Option))))
% 16.06/16.26 (assume a2467 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.bit0 tptp.one)) N) (tptp.aa_num_num tptp.bit0 N))))
% 16.06/16.26 (assume a2468 (forall ((A tptp.nat) (M2 tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.26 (assume a2469 (forall ((A tptp.real) (M2 tptp.num) (N tptp.num)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.26 (assume a2470 (forall ((A tptp.int) (M2 tptp.num) (N tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.26 (assume a2471 (forall ((A tptp.complex) (M2 tptp.num) (N tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat M2))) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.26 (assume a2472 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) J)) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) K2)) J))))
% 16.06/16.26 (assume a2473 (forall ((A tptp.nat) (K2 tptp.num) (L tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat K2))) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num K2) L))))))
% 16.06/16.26 (assume a2474 (forall ((A tptp.int) (K2 tptp.num) (L tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_num_int tptp.numeral_numeral_int L)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num K2) L))))))
% 16.06/16.26 (assume a2475 (forall ((X2 tptp.product_prod_nat_nat)) (= (tptp.the_Pr8591224930841456533at_nat (tptp.some_P7363390416028606310at_nat X2)) X2)))
% 16.06/16.26 (assume a2476 (forall ((X2 tptp.nat)) (= (tptp.the_nat (tptp.some_nat X2)) X2)))
% 16.06/16.26 (assume a2477 (forall ((X2 tptp.num)) (= (tptp.the_num (tptp.some_num X2)) X2)))
% 16.06/16.26 (assume a2478 (forall ((Option tptp.option_nat) (Option2 tptp.option_nat)) (=> (= (= Option tptp.none_nat) (= Option2 tptp.none_nat)) (=> (=> (not (= Option tptp.none_nat)) (=> (not (= Option2 tptp.none_nat)) (= (tptp.the_nat Option) (tptp.the_nat Option2)))) (= Option Option2)))))
% 16.06/16.26 (assume a2479 (forall ((Option tptp.option4927543243414619207at_nat) (Option2 tptp.option4927543243414619207at_nat)) (=> (= (= Option tptp.none_P5556105721700978146at_nat) (= Option2 tptp.none_P5556105721700978146at_nat)) (=> (=> (not (= Option tptp.none_P5556105721700978146at_nat)) (=> (not (= Option2 tptp.none_P5556105721700978146at_nat)) (= (tptp.the_Pr8591224930841456533at_nat Option) (tptp.the_Pr8591224930841456533at_nat Option2)))) (= Option Option2)))))
% 16.06/16.26 (assume a2480 (forall ((Option tptp.option_num) (Option2 tptp.option_num)) (=> (= (= Option tptp.none_num) (= Option2 tptp.none_num)) (=> (=> (not (= Option tptp.none_num)) (=> (not (= Option2 tptp.none_num)) (= (tptp.the_num Option) (tptp.the_num Option2)))) (= Option Option2)))))
% 16.06/16.26 (assume a2481 (forall ((A tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.times_times_real A) C))) (tptp.aa_real_real (tptp.times_times_real B) D))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real D) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real B) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real C) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.26 (assume a2482 (forall ((X3 tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.26 (assume a2483 (forall ((Option tptp.option4927543243414619207at_nat)) (=> (not (= Option tptp.none_P5556105721700978146at_nat)) (= Option (tptp.some_P7363390416028606310at_nat (tptp.the_Pr8591224930841456533at_nat Option))))))
% 16.06/16.26 (assume a2484 (forall ((Option tptp.option_nat)) (=> (not (= Option tptp.none_nat)) (= Option (tptp.some_nat (tptp.the_nat Option))))))
% 16.06/16.26 (assume a2485 (forall ((Option tptp.option_num)) (=> (not (= Option tptp.none_num)) (= Option (tptp.some_num (tptp.the_num Option))))))
% 16.06/16.26 (assume a2486 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.26 (assume a2487 (forall ((A tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.plus_plus_real B) D)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) (tptp.aa_real_real (tptp.minus_minus_real C) D)))))
% 16.06/16.26 (assume a2488 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat) (D tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) D)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat C) D)))))
% 16.06/16.26 (assume a2489 (forall ((A tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) D)))))
% 16.06/16.26 (assume a2490 (forall ((M2 tptp.nat) (N tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) K2))))))
% 16.06/16.26 (assume a2491 (forall ((M2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N)) M2))))
% 16.06/16.26 (assume a2492 (forall ((X3 tptp.real) (Y tptp.real) (A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real X3) Y)) (tptp.aa_real_real (tptp.times_times_real A) B)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real X3) (tptp.aa_real_real (tptp.minus_minus_real Y) B))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real X3) A)) B)))))
% 16.06/16.26 (assume a2493 (forall ((X3 tptp.rat) (Y tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat Y) B))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) A)) B)))))
% 16.06/16.26 (assume a2494 (forall ((X3 tptp.int) (Y tptp.int) (A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Y) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) A)) B)))))
% 16.06/16.26 (assume a2495 (forall ((M2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc M2)) N)))))
% 16.06/16.26 (assume a2496 (forall ((N tptp.nat) (M2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N))) M2))))
% 16.06/16.26 (assume a2497 (forall ((M2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N)) N)) M2))))
% 16.06/16.26 (assume a2498 (forall ((N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))
% 16.06/16.26 (assume a2499 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 16.06/16.26 (assume a2500 (forall ((X3 tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.divide_divide_real X3) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.divide_divide_real X3) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)))
% 16.06/16.26 (assume a2501 (forall ((X3 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)))
% 16.06/16.26 (assume a2502 (forall ((M2 tptp.nat) (N tptp.nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.26 (assume a2503 (forall ((X3 tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (Xn tptp.nat) (H tptp.nat) (Summary tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (L tptp.nat) (Newnode tptp.vEBT_VEBT) (Newlist tptp.list_VEBT_VEBT)) (=> (and (= X3 Mi) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Ma))) (=> (not (= Mi Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) H) (=> (= Xn (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) L) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (=> (= Newnode (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (=> (= Newlist (tptp.list_u1324408373059187874T_VEBT TreeList H Newnode)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xn) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat H) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist H))))) Ma))) Deg Newlist Summary))))))))))))))
% 16.06/16.26 (assume a2504 (forall ((Mi tptp.nat) (X3 tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (H tptp.nat) (L tptp.nat) (Newnode tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (Newlist tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Ma))) (=> (not (= Mi Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) H) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) L) (=> (= Newnode (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode))) (=> (= Newlist (tptp.list_u1324408373059187874T_VEBT TreeList H Newnode)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat H) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist H))))) Ma))) Deg Newlist Summary)))))))))))))
% 16.06/16.26 (assume a2505 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) A) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real B) A)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.26 (assume a2506 (forall ((B tptp.real) (A tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real B) A)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) A) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real B) A)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.26 (assume a2507 (forall ((Uy tptp.nat) (Uz tptp.list_VEBT_VEBT) (Va tptp.vEBT_VEBT) (Vb tptp.nat)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uy Uz Va) Vb) tptp.none_nat)))
% 16.06/16.26 (assume a2508 (forall ((Ux tptp.nat) (Uy tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT) (Va tptp.nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux Uy Uz) Va) tptp.none_nat)))
% 16.06/16.26 (assume a2509 (forall ((L tptp.num) (R2 tptp.nat) (Q3 tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) R2)) (= (tptp.unique5026877609467782581ep_nat L (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Q3) R2)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Q3)) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat R2) (tptp.aa_num_nat tptp.numeral_numeral_nat L))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) R2))) (= (tptp.unique5026877609467782581ep_nat L (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Q3) R2)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Q3)) R2))))))
% 16.06/16.26 (assume a2510 (forall ((L tptp.num) (R2 tptp.int) (Q3 tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int L)) R2)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.unique5024387138958732305ep_int L) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Q3)) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int R2) (tptp.aa_num_int tptp.numeral_numeral_int L))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int L)) R2))) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.unique5024387138958732305ep_int L) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Q3)) R2))))))
% 16.06/16.26 (assume a2511 (forall ((L tptp.num) (R2 tptp.code_integer) (Q3 tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger L)) R2)) (= (tptp.unique4921790084139445826nteger L (tptp.produc1086072967326762835nteger Q3 R2)) (tptp.produc1086072967326762835nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Q3) tptp.one_one_Code_integer) (tptp.minus_8373710615458151222nteger R2 (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger L))))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger L)) R2))) (= (tptp.unique4921790084139445826nteger L (tptp.produc1086072967326762835nteger Q3 R2)) (tptp.produc1086072967326762835nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Q3) R2))))))
% 16.06/16.26 (assume a2512 (forall ((Deg tptp.nat) (X3 tptp.nat) (Ma tptp.nat) (Mi tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Ma)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_greater (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_pred (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X3) (tptp.some_nat Mi) tptp.none_nat) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat))))))
% 16.06/16.26 (assume a2513 (forall ((Deg tptp.nat) (X3 tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Mi tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_greater (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_pred (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X3) (tptp.some_nat Mi) tptp.none_nat) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))))))
% 16.06/16.26 (assume a2514 (forall ((Deg tptp.nat) (Mi tptp.nat) (X3 tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) X3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))))))
% 16.06/16.26 (assume a2515 (forall ((T tptp.vEBT_VEBT)) (= (tptp.vEBT_VEBT_set_vebt T) (tptp.collect_nat (tptp.vEBT_vebt_member T)))))
% 16.06/16.26 (assume a2516 (forall ((V2 tptp.num) (W tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 V2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_num_int tptp.numeral_numeral_int W)))))
% 16.06/16.26 (assume a2517 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (= (tptp.vEBT_vebt_succ T X3) tptp.none_nat) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ah T) X3)) tptp.bot_bot_set_nat)))))
% 16.06/16.26 (assume a2518 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (= (tptp.vEBT_vebt_pred T X3) tptp.none_nat) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ai T) X3)) tptp.bot_bot_set_nat)))))
% 16.06/16.26 (assume a2519 (forall ((A tptp.produc3843707927480180839at_nat)) (= (tptp.collec6321179662152712658at_nat (tptp.fequal7949547063978738364at_nat A)) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))))
% 16.06/16.26 (assume a2520 (forall ((A tptp.complex)) (= (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex A)) (tptp.insert_complex A tptp.bot_bot_set_complex))))
% 16.06/16.26 (assume a2521 (forall ((A tptp.set_nat)) (= (tptp.collect_set_nat (tptp.fequal_set_nat A)) (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))))
% 16.06/16.26 (assume a2522 (forall ((A tptp.list_nat)) (= (tptp.collect_list_nat (tptp.fequal_list_nat A)) (tptp.insert_list_nat A tptp.bot_bot_set_list_nat))))
% 16.06/16.26 (assume a2523 (forall ((A tptp.product_prod_nat_nat)) (= (tptp.collec3392354462482085612at_nat (tptp.aa_Pro595088089689268830t_bool tptp.fequal9188845342289841878at_nat A)) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))))
% 16.06/16.26 (assume a2524 (forall ((A tptp.bool)) (= (tptp.collect_bool (tptp.aa_boo8970175072276269406l_bool tptp.fequal_bool A)) (tptp.insert_bool A tptp.bot_bot_set_bool))))
% 16.06/16.26 (assume a2525 (forall ((A tptp.nat)) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.fequal_nat A)) (tptp.insert_nat A tptp.bot_bot_set_nat))))
% 16.06/16.26 (assume a2526 (forall ((A tptp.int)) (= (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.fequal_int A)) (tptp.insert_int A tptp.bot_bot_set_int))))
% 16.06/16.26 (assume a2527 (forall ((A tptp.produc3843707927480180839at_nat)) (= (tptp.collec6321179662152712658at_nat (tptp.aTP_Lamm_aj A)) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))))
% 16.06/16.26 (assume a2528 (forall ((A tptp.complex)) (= (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool tptp.aTP_Lamm_ak A)) (tptp.insert_complex A tptp.bot_bot_set_complex))))
% 16.06/16.26 (assume a2529 (forall ((A tptp.set_nat)) (= (tptp.collect_set_nat (tptp.aTP_Lamm_al A)) (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))))
% 16.06/16.26 (assume a2530 (forall ((A tptp.list_nat)) (= (tptp.collect_list_nat (tptp.aTP_Lamm_am A)) (tptp.insert_list_nat A tptp.bot_bot_set_list_nat))))
% 16.06/16.26 (assume a2531 (forall ((A tptp.product_prod_nat_nat)) (= (tptp.collec3392354462482085612at_nat (tptp.aa_Pro595088089689268830t_bool tptp.aTP_Lamm_an A)) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))))
% 16.06/16.26 (assume a2532 (forall ((A tptp.bool)) (= (tptp.collect_bool (tptp.aa_boo8970175072276269406l_bool tptp.aTP_Lamm_ao A)) (tptp.insert_bool A tptp.bot_bot_set_bool))))
% 16.06/16.26 (assume a2533 (forall ((A tptp.nat)) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ap A)) (tptp.insert_nat A tptp.bot_bot_set_nat))))
% 16.06/16.26 (assume a2534 (forall ((A tptp.int)) (= (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_aq A)) (tptp.insert_int A tptp.bot_bot_set_int))))
% 16.06/16.26 (assume a2535 (forall ((Mi tptp.nat) (X3 tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (H tptp.nat) (L tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Ma))) (=> (not (= Mi Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) H) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) L) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))) tptp.none_nat)) Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))))))) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (tptp.vEBT_vebt_delete Summary H)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat H) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) H))))) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) Summary)))))))))))
% 16.06/16.26 (assume a2536 (forall ((Mi tptp.nat) (X3 tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (H tptp.nat) (L tptp.nat) (Newnode tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (Sn tptp.vEBT_VEBT) (Summary tptp.vEBT_VEBT) (Newlist tptp.list_VEBT_VEBT)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Ma))) (=> (not (= Mi Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) H) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) L) (=> (= Newnode (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode)) (=> (= Sn (tptp.vEBT_vebt_delete Summary H)) (=> (= Newlist (tptp.list_u1324408373059187874T_VEBT TreeList H Newnode)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt Sn)) tptp.none_nat)) Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt Sn)))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist (tptp.the_nat (tptp.vEBT_vebt_maxt Sn)))))))) Ma))) Deg Newlist Sn))))))))))))))
% 16.06/16.26 (assume a2537 (forall ((Mi tptp.nat) (X3 tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (H tptp.nat) (L tptp.nat) (Newnode tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (Newlist tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Ma))) (=> (not (= Mi Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) H) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) L) (=> (= Newnode (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (=> (= Newlist (tptp.list_u1324408373059187874T_VEBT TreeList H Newnode)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (and (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))) tptp.none_nat)) Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))))))) Ma))) Deg Newlist (tptp.vEBT_vebt_delete Summary H)))) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat H) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist H))))) Ma))) Deg Newlist Summary))))))))))))))
% 16.06/16.26 (assume a2538 (forall ((Mi tptp.nat) (X3 tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Ma))) (=> (not (= Mi Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.if_VEBT_VEBT (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) Ma))) (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi))) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Ma)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num 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tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat 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(tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_delete Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) Ma))) (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi))) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Ma)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) Summary)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary))))))))
% 16.06/16.26 (assume a2539 (forall ((X3 tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (Xn tptp.nat) (H tptp.nat) (Summary tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (L tptp.nat)) (=> (and (= X3 Mi) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Ma))) (=> (not (= Mi Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) H) (=> (= Xn (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) L) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xn) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))) tptp.none_nat)) Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))))))) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (tptp.vEBT_vebt_delete Summary H)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xn) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat H) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) H))))) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList H (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) Summary))))))))))))
% 16.06/16.26 (assume a2540 (forall ((X3 tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (Xn tptp.nat) (H tptp.nat) (Summary tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (L tptp.nat) (Newnode tptp.vEBT_VEBT) (Newlist tptp.list_VEBT_VEBT)) (=> (and (= X3 Mi) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Ma))) (=> (not (= Mi Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) H) (=> (= Xn (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) L) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (=> (= Newnode (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (=> (= Newlist (tptp.list_u1324408373059187874T_VEBT TreeList H Newnode)) (and (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xn) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))) tptp.none_nat)) Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary H))))))))) Ma))) Deg Newlist (tptp.vEBT_vebt_delete Summary H)))) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xn) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat H) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist H))))) Ma))) Deg Newlist Summary)))))))))))))))
% 16.06/16.26 (assume a2541 (forall ((X3 tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (Xn tptp.nat) (H tptp.nat) (Summary tptp.vEBT_VEBT) (TreeList tptp.list_VEBT_VEBT) (L tptp.nat) (Newnode tptp.vEBT_VEBT) (Newlist tptp.list_VEBT_VEBT) (Sn tptp.vEBT_VEBT)) (=> (and (= X3 Mi) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Ma))) (=> (not (= Mi Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) H) (=> (= Xn (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) L) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (=> (= Newnode (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList H) L)) (=> (= Newlist (tptp.list_u1324408373059187874T_VEBT TreeList H Newnode)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull Newnode)) (=> (= Sn (tptp.vEBT_vebt_delete Summary H)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xn) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt Sn)) tptp.none_nat)) Xn) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt Sn)))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT Newlist (tptp.the_nat (tptp.vEBT_vebt_maxt Sn)))))))) Ma))) Deg Newlist Sn)))))))))))))))
% 16.06/16.26 (assume a2542 (forall ((X3 tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (and (= X3 Mi) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Ma))) (=> (not (= Mi Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.if_VEBT_VEBT (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_delete Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) Ma)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) Summary)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary))))))))
% 16.06/16.26 (assume a2543 (forall ((Deg tptp.nat) (Mi tptp.nat) (X3 tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) X3)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat))))))
% 16.06/16.26 (assume a2544 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.minus_minus_set_real A4 B4) (tptp.collect_real (tptp.minus_6582619742941512235l_bool (tptp.aTP_Lamm_a A4) (tptp.aTP_Lamm_a B4))))))
% 16.06/16.26 (assume a2545 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.minus_minus_set_bool A4 B4) (tptp.collect_bool (tptp.minus_4822186092517116124l_bool (tptp.aTP_Lamm_aa A4) (tptp.aTP_Lamm_aa B4))))))
% 16.06/16.26 (assume a2546 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.minus_minus_set_int A4 B4) (tptp.collect_int (tptp.minus_7727386867957376939t_bool (tptp.aTP_Lamm_ab A4) (tptp.aTP_Lamm_ab B4))))))
% 16.06/16.26 (assume a2547 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.minus_811609699411566653omplex A4 B4) (tptp.collect_complex (tptp.minus_5423061390740260265x_bool (tptp.aTP_Lamm_ad A4) (tptp.aTP_Lamm_ad B4))))))
% 16.06/16.26 (assume a2548 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4) (tptp.collec3392354462482085612at_nat (tptp.minus_5597117856863188850t_bool (tptp.aTP_Lamm_ae A4) (tptp.aTP_Lamm_ae B4))))))
% 16.06/16.26 (assume a2549 (forall ((A4 tptp.set_set_nat) (B4 tptp.set_set_nat)) (= (tptp.minus_2163939370556025621et_nat A4 B4) (tptp.collect_set_nat (tptp.minus_8322047804725131473t_bool (tptp.aTP_Lamm_af A4) (tptp.aTP_Lamm_af B4))))))
% 16.06/16.26 (assume a2550 (forall ((A4 tptp.set_list_nat) (B4 tptp.set_list_nat)) (= (tptp.minus_7954133019191499631st_nat A4 B4) (tptp.collect_list_nat (tptp.minus_8064998606961450743t_bool (tptp.aTP_Lamm_ag A4) (tptp.aTP_Lamm_ag B4))))))
% 16.06/16.26 (assume a2551 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4) (tptp.collect_nat (tptp.minus_1628305797571225351t_bool (tptp.aTP_Lamm_ac A4) (tptp.aTP_Lamm_ac B4))))))
% 16.06/16.26 (assume a2552 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.minus_minus_set_real A4 B4) (tptp.collect_real (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_ar A4) B4)))))
% 16.06/16.26 (assume a2553 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.minus_minus_set_bool A4 B4) (tptp.collect_bool (tptp.aa_set6670506438128111678l_bool (tptp.aTP_Lamm_as A4) B4)))))
% 16.06/16.26 (assume a2554 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.minus_minus_set_int A4 B4) (tptp.collect_int (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_at A4) B4)))))
% 16.06/16.26 (assume a2555 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.minus_811609699411566653omplex A4 B4) (tptp.collect_complex (tptp.aa_set3741564773079358752x_bool (tptp.aTP_Lamm_au A4) B4)))))
% 16.06/16.26 (assume a2556 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4) (tptp.collec3392354462482085612at_nat (tptp.aa_set5223363028666124222t_bool (tptp.aTP_Lamm_av A4) B4)))))
% 16.06/16.26 (assume a2557 (forall ((A4 tptp.set_set_nat) (B4 tptp.set_set_nat)) (= (tptp.minus_2163939370556025621et_nat A4 B4) (tptp.collect_set_nat (tptp.aa_set9121396911425987952t_bool (tptp.aTP_Lamm_aw A4) B4)))))
% 16.06/16.26 (assume a2558 (forall ((A4 tptp.set_list_nat) (B4 tptp.set_list_nat)) (= (tptp.minus_7954133019191499631st_nat A4 B4) (tptp.collect_list_nat (tptp.aa_set257547205302447420t_bool (tptp.aTP_Lamm_ax A4) B4)))))
% 16.06/16.26 (assume a2559 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4) (tptp.collect_nat (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_ay A4) B4)))))
% 16.06/16.26 (assume a2560 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X3)) (exists ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_nat_real (tptp.power_power_real X3) N2)))))))
% 16.06/16.26 (assume a2561 (forall ((R tptp.set_Pr8218934625190621173um_num) (S3 tptp.set_Pr8218934625190621173um_num) (X tptp.num) (Xa tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool (tptp.sup_su5783012279830766057m_bool (tptp.aTP_Lamm_az R) (tptp.aTP_Lamm_az S3)) X) Xa)) (tptp.member7279096912039735102um_num (tptp.product_Pair_num_num X Xa) (tptp.sup_su4061117120043295689um_num R S3)))))
% 16.06/16.26 (assume a2562 (forall ((R tptp.set_Pr6200539531224447659at_num) (S3 tptp.set_Pr6200539531224447659at_num) (X tptp.nat) (Xa tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_nat_fun_num_bool (tptp.sup_su2374849055210163635m_bool (tptp.aTP_Lamm_ba R) (tptp.aTP_Lamm_ba S3)) X) Xa)) (tptp.member9148766508732265716at_num (tptp.product_Pair_nat_num X Xa) (tptp.sup_su2042722026077122175at_num R S3)))))
% 16.06/16.26 (assume a2563 (forall ((R tptp.set_Pr1261947904930325089at_nat) (S3 tptp.set_Pr1261947904930325089at_nat) (X tptp.nat) (Xa tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.sup_su8404041055355318397t_bool (tptp.aTP_Lamm_bb R) (tptp.aTP_Lamm_bb S3)) X) Xa)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat R) S3))))))
% 16.06/16.26 (assume a2564 (forall ((R tptp.set_Pr958786334691620121nt_int) (S3 tptp.set_Pr958786334691620121nt_int) (X tptp.int) (Xa tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.sup_su8050957313097713605t_bool (tptp.aTP_Lamm_bc R) (tptp.aTP_Lamm_bc S3)) X) Xa)) (tptp.member5262025264175285858nt_int (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X) Xa) (tptp.sup_su6024340866399070445nt_int R S3)))))
% 16.06/16.26 (assume a2565 (forall ((R tptp.set_Pr4329608150637261639at_nat) (S3 tptp.set_Pr4329608150637261639at_nat) (X tptp.set_Pr1261947904930325089at_nat) (Xa tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool (tptp.sup_su794791877260760193t_bool (tptp.aTP_Lamm_bd R) (tptp.aTP_Lamm_bd S3)) X) Xa)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat X Xa)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat R) S3))))))
% 16.06/16.26 (assume a2566 (forall ((R tptp.set_complex) (S3 tptp.set_complex) (X tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.sup_su6568012871953091606x_bool (tptp.aTP_Lamm_ad R) (tptp.aTP_Lamm_ad S3)) X)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) (tptp.sup_sup_set_complex R S3))))))
% 16.06/16.26 (assume a2567 (forall ((R tptp.set_real) (S3 tptp.set_real) (X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sup_su805534559149407256l_bool (tptp.aTP_Lamm_a R) (tptp.aTP_Lamm_a S3)) X)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) (tptp.sup_sup_set_real R S3))))))
% 16.06/16.26 (assume a2568 (forall ((R tptp.set_bool) (S3 tptp.set_bool) (X tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.sup_su2675241097686107055l_bool (tptp.aTP_Lamm_aa R) (tptp.aTP_Lamm_aa S3)) X)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X) (tptp.sup_sup_set_bool R S3))))))
% 16.06/16.26 (assume a2569 (forall ((R tptp.set_int) (S3 tptp.set_int) (X tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.sup_sup_fun_int_bool (tptp.aTP_Lamm_ab R) (tptp.aTP_Lamm_ab S3)) X)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) (tptp.sup_sup_set_int R S3))))))
% 16.06/16.26 (assume a2570 (forall ((R tptp.set_nat) (S3 tptp.set_nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.sup_sup_fun_nat_bool (tptp.aTP_Lamm_ac R) (tptp.aTP_Lamm_ac S3)) X)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat R) S3))))))
% 16.06/16.26 (assume a2571 (forall ((R tptp.set_Pr4329608150637261639at_nat) (S3 tptp.set_Pr4329608150637261639at_nat) (X tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.sup_su5834520091132235615t_bool (tptp.aTP_Lamm_be R) (tptp.aTP_Lamm_be S3)) X)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat R) S3))))))
% 16.06/16.26 (assume a2572 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.sup_sup_set_real A4 B4) (tptp.collect_real (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_bf A4) B4)))))
% 16.06/16.26 (assume a2573 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.sup_sup_set_bool A4 B4) (tptp.collect_bool (tptp.aa_set6670506438128111678l_bool (tptp.aTP_Lamm_bg A4) B4)))))
% 16.06/16.26 (assume a2574 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.sup_sup_set_int A4 B4) (tptp.collect_int (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_bh A4) B4)))))
% 16.06/16.26 (assume a2575 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.sup_sup_set_complex A4 B4) (tptp.collect_complex (tptp.aa_set3741564773079358752x_bool (tptp.aTP_Lamm_bi A4) B4)))))
% 16.06/16.26 (assume a2576 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) B4) (tptp.collec3392354462482085612at_nat (tptp.aa_set5223363028666124222t_bool (tptp.aTP_Lamm_bj A4) B4)))))
% 16.06/16.26 (assume a2577 (forall ((A4 tptp.set_set_nat) (B4 tptp.set_set_nat)) (= (tptp.sup_sup_set_set_nat A4 B4) (tptp.collect_set_nat (tptp.aa_set9121396911425987952t_bool (tptp.aTP_Lamm_bk A4) B4)))))
% 16.06/16.26 (assume a2578 (forall ((A4 tptp.set_list_nat) (B4 tptp.set_list_nat)) (= (tptp.sup_sup_set_list_nat A4 B4) (tptp.collect_list_nat (tptp.aa_set257547205302447420t_bool (tptp.aTP_Lamm_bl A4) B4)))))
% 16.06/16.26 (assume a2579 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4) (tptp.collect_nat (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_bm A4) B4)))))
% 16.06/16.26 (assume a2580 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4) (tptp.collec6321179662152712658at_nat (tptp.aa_set377272637606474814t_bool (tptp.aTP_Lamm_bn A4) B4)))))
% 16.06/16.26 (assume a2581 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.sup_sup_set_real A4 B4) (tptp.collect_real (tptp.sup_su805534559149407256l_bool (tptp.aTP_Lamm_a A4) (tptp.aTP_Lamm_a B4))))))
% 16.06/16.26 (assume a2582 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.sup_sup_set_bool A4 B4) (tptp.collect_bool (tptp.sup_su2675241097686107055l_bool (tptp.aTP_Lamm_aa A4) (tptp.aTP_Lamm_aa B4))))))
% 16.06/16.26 (assume a2583 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.sup_sup_set_int A4 B4) (tptp.collect_int (tptp.sup_sup_fun_int_bool (tptp.aTP_Lamm_ab A4) (tptp.aTP_Lamm_ab B4))))))
% 16.06/16.26 (assume a2584 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.sup_sup_set_complex A4 B4) (tptp.collect_complex (tptp.sup_su6568012871953091606x_bool (tptp.aTP_Lamm_ad A4) (tptp.aTP_Lamm_ad B4))))))
% 16.06/16.26 (assume a2585 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) B4) (tptp.collec3392354462482085612at_nat (tptp.sup_su5674415786711694021t_bool (tptp.aTP_Lamm_ae A4) (tptp.aTP_Lamm_ae B4))))))
% 16.06/16.26 (assume a2586 (forall ((A4 tptp.set_set_nat) (B4 tptp.set_set_nat)) (= (tptp.sup_sup_set_set_nat A4 B4) (tptp.collect_set_nat (tptp.sup_su7038862894554899774t_bool (tptp.aTP_Lamm_af A4) (tptp.aTP_Lamm_af B4))))))
% 16.06/16.26 (assume a2587 (forall ((A4 tptp.set_list_nat) (B4 tptp.set_list_nat)) (= (tptp.sup_sup_set_list_nat A4 B4) (tptp.collect_list_nat (tptp.sup_su7820324534880642276t_bool (tptp.aTP_Lamm_ag A4) (tptp.aTP_Lamm_ag B4))))))
% 16.06/16.26 (assume a2588 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4) (tptp.collect_nat (tptp.sup_sup_fun_nat_bool (tptp.aTP_Lamm_ac A4) (tptp.aTP_Lamm_ac B4))))))
% 16.06/16.26 (assume a2589 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4) (tptp.collec6321179662152712658at_nat (tptp.sup_su5834520091132235615t_bool (tptp.aTP_Lamm_be A4) (tptp.aTP_Lamm_be B4))))))
% 16.06/16.26 (assume a2590 (forall ((P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (= (tptp.collect_complex (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_bo P) Q)) (tptp.sup_sup_set_complex (tptp.collect_complex P) (tptp.collect_complex Q)))))
% 16.06/16.26 (assume a2591 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (Q tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.collec3392354462482085612at_nat (tptp.aa_fun830836278467416944t_bool (tptp.aTP_Lamm_bp P) Q)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.collec3392354462482085612at_nat P)) (tptp.collec3392354462482085612at_nat Q)))))
% 16.06/16.26 (assume a2592 (forall ((P tptp.fun_set_nat_bool) (Q tptp.fun_set_nat_bool)) (= (tptp.collect_set_nat (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_bq P) Q)) (tptp.sup_sup_set_set_nat (tptp.collect_set_nat P) (tptp.collect_set_nat Q)))))
% 16.06/16.26 (assume a2593 (forall ((P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (= (tptp.collect_list_nat (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_br P) Q)) (tptp.sup_sup_set_list_nat (tptp.collect_list_nat P) (tptp.collect_list_nat Q)))))
% 16.06/16.26 (assume a2594 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (= (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_bs P) Q)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.collect_nat P)) (tptp.collect_nat Q)))))
% 16.06/16.26 (assume a2595 (forall ((P tptp.fun_Pr1607443439640623155t_bool) (Q tptp.fun_Pr1607443439640623155t_bool)) (= (tptp.collec6321179662152712658at_nat (tptp.aa_fun5022828243006652836t_bool (tptp.aTP_Lamm_bt P) Q)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.collec6321179662152712658at_nat P)) (tptp.collec6321179662152712658at_nat Q)))))
% 16.06/16.26 (assume a2596 (forall ((R tptp.set_complex) (S3 tptp.set_complex)) (= (tptp.ord_le4633831435867229666x_bool (tptp.aTP_Lamm_ad R) (tptp.aTP_Lamm_ad S3)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex R) S3)))))
% 16.06/16.26 (assume a2597 (forall ((R tptp.set_real) (S3 tptp.set_real)) (= (tptp.ord_le5573776112191778788l_bool (tptp.aTP_Lamm_a R) (tptp.aTP_Lamm_a S3)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real R) S3)))))
% 16.06/16.26 (assume a2598 (forall ((R tptp.set_bool) (S3 tptp.set_bool)) (= (tptp.ord_le2902245940885495011l_bool (tptp.aTP_Lamm_aa R) (tptp.aTP_Lamm_aa S3)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool R) S3)))))
% 16.06/16.26 (assume a2599 (forall ((R tptp.set_int) (S3 tptp.set_int)) (= (tptp.ord_le5715760110363009508t_bool (tptp.aTP_Lamm_ab R) (tptp.aTP_Lamm_ab S3)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int R) S3)))))
% 16.06/16.26 (assume a2600 (forall ((R tptp.set_nat) (S3 tptp.set_nat)) (= (tptp.ord_le8840051076831633728t_bool (tptp.aTP_Lamm_ac R) (tptp.aTP_Lamm_ac S3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat R) S3)))))
% 16.06/16.26 (assume a2601 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (tptp.ord_le4633831435867229666x_bool (tptp.aTP_Lamm_ad A4) (tptp.aTP_Lamm_ad B4)))))
% 16.06/16.26 (assume a2602 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (tptp.ord_le5573776112191778788l_bool (tptp.aTP_Lamm_a A4) (tptp.aTP_Lamm_a B4)))))
% 16.06/16.26 (assume a2603 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (tptp.ord_le2902245940885495011l_bool (tptp.aTP_Lamm_aa A4) (tptp.aTP_Lamm_aa B4)))))
% 16.06/16.26 (assume a2604 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (tptp.ord_le5715760110363009508t_bool (tptp.aTP_Lamm_ab A4) (tptp.aTP_Lamm_ab B4)))))
% 16.06/16.26 (assume a2605 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (tptp.ord_le8840051076831633728t_bool (tptp.aTP_Lamm_ac A4) (tptp.aTP_Lamm_ac B4)))))
% 16.06/16.26 (assume a2606 (forall ((A4 tptp.set_real) (P tptp.fun_real_bool)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.collect_real (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_bu A4) P))) A4))))
% 16.06/16.26 (assume a2607 (forall ((A4 tptp.set_bool) (P tptp.fun_bool_bool)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool (tptp.collect_bool (tptp.aa_fun8098540714523660868l_bool (tptp.aTP_Lamm_bv A4) P))) A4))))
% 16.06/16.26 (assume a2608 (forall ((A4 tptp.set_int) (P tptp.fun_int_bool)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_bw A4) P))) A4))))
% 16.06/16.26 (assume a2609 (forall ((A4 tptp.set_complex) (P tptp.fun_complex_bool)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.collect_complex (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_bx A4) P))) A4))))
% 16.06/16.26 (assume a2610 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_Pr7757163693017731481t_bool)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.collec3392354462482085612at_nat (tptp.aa_fun830836278467416944t_bool (tptp.aTP_Lamm_by A4) P))) A4))))
% 16.06/16.26 (assume a2611 (forall ((A4 tptp.set_set_nat) (P tptp.fun_set_nat_bool)) (tptp.ord_le6893508408891458716et_nat (tptp.collect_set_nat (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_bz A4) P)) A4)))
% 16.06/16.26 (assume a2612 (forall ((A4 tptp.set_list_nat) (P tptp.fun_list_nat_bool)) (tptp.ord_le6045566169113846134st_nat (tptp.collect_list_nat (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_ca A4) P)) A4)))
% 16.06/16.26 (assume a2613 (forall ((A4 tptp.set_nat) (P tptp.fun_nat_bool)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_cb A4) P))) A4))))
% 16.06/16.26 (assume a2614 (forall ((X tptp.set_Pr1261947904930325089at_nat) (Xa tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.bot_bo3728952843091432729t_bool X) Xa)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat X Xa)) tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.26 (assume a2615 (forall ((X tptp.num) (Xa tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.bot_bo3939865688069203585m_bool X) Xa)) (tptp.member7279096912039735102um_num (tptp.product_Pair_num_num X Xa) tptp.bot_bo9056780473022590049um_num))))
% 16.06/16.26 (assume a2616 (forall ((X tptp.nat) (Xa tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_nat_fun_num_bool tptp.bot_bo531702463448601163m_bool X) Xa)) (tptp.member9148766508732265716at_num (tptp.product_Pair_nat_num X Xa) tptp.bot_bo7038385379056416535at_num))))
% 16.06/16.26 (assume a2617 (forall ((X tptp.int) (Xa tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.bot_bo6207810721336151133t_bool X) Xa)) (tptp.member5262025264175285858nt_int (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X) Xa) tptp.bot_bo1796632182523588997nt_int))))
% 16.06/16.26 (assume a2618 (forall ((X tptp.nat) (Xa tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bot_bo6560894463593755925t_bool X) Xa)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa)) tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.26 (assume a2619 (forall ((R tptp.set_Pr4329608150637261639at_nat) (S3 tptp.set_Pr4329608150637261639at_nat)) (= (forall ((X4 tptp.set_Pr1261947904930325089at_nat) (Xa3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat X4 Xa3)) R)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat X4 Xa3)) S3)))) (= R S3))))
% 16.06/16.26 (assume a2620 (forall ((R tptp.set_Pr8218934625190621173um_num) (S3 tptp.set_Pr8218934625190621173um_num)) (= (forall ((X4 tptp.num) (Xa3 tptp.num)) (= (tptp.member7279096912039735102um_num (tptp.product_Pair_num_num X4 Xa3) R) (tptp.member7279096912039735102um_num (tptp.product_Pair_num_num X4 Xa3) S3))) (= R S3))))
% 16.06/16.26 (assume a2621 (forall ((R tptp.set_Pr6200539531224447659at_num) (S3 tptp.set_Pr6200539531224447659at_num)) (= (forall ((X4 tptp.nat) (Xa3 tptp.num)) (= (tptp.member9148766508732265716at_num (tptp.product_Pair_nat_num X4 Xa3) R) (tptp.member9148766508732265716at_num (tptp.product_Pair_nat_num X4 Xa3) S3))) (= R S3))))
% 16.06/16.26 (assume a2622 (forall ((R tptp.set_Pr1261947904930325089at_nat) (S3 tptp.set_Pr1261947904930325089at_nat)) (= (forall ((X4 tptp.nat) (Xa3 tptp.nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Xa3)) R)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Xa3)) S3)))) (= R S3))))
% 16.06/16.26 (assume a2623 (forall ((R tptp.set_Pr958786334691620121nt_int) (S3 tptp.set_Pr958786334691620121nt_int)) (= (forall ((X4 tptp.int) (Xa3 tptp.int)) (= (tptp.member5262025264175285858nt_int (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X4) Xa3) R) (tptp.member5262025264175285858nt_int (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X4) Xa3) S3))) (= R S3))))
% 16.06/16.26 (assume a2624 (= tptp.bot_bot_set_complex (tptp.collect_complex tptp.aTP_Lamm_cc)))
% 16.06/16.26 (assume a2625 (= tptp.bot_bot_set_set_nat (tptp.collect_set_nat tptp.aTP_Lamm_cd)))
% 16.06/16.26 (assume a2626 (= tptp.bot_bot_set_list_nat (tptp.collect_list_nat tptp.aTP_Lamm_ce)))
% 16.06/16.26 (assume a2627 (= tptp.bot_bo2099793752762293965at_nat (tptp.collec3392354462482085612at_nat tptp.aTP_Lamm_cf)))
% 16.06/16.26 (assume a2628 (= tptp.bot_bot_set_bool (tptp.collect_bool tptp.aTP_Lamm_cg)))
% 16.06/16.26 (assume a2629 (= tptp.bot_bot_set_nat (tptp.collect_nat tptp.aTP_Lamm_ch)))
% 16.06/16.26 (assume a2630 (= tptp.bot_bot_set_int (tptp.collect_int tptp.aTP_Lamm_ci)))
% 16.06/16.26 (assume a2631 (forall ((A tptp.int) (P tptp.fun_int_bool)) (= (tptp.insert_int A (tptp.collect_int P)) (tptp.collect_int (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_cj A) P)))))
% 16.06/16.26 (assume a2632 (forall ((A tptp.bool) (P tptp.fun_bool_bool)) (= (tptp.insert_bool A (tptp.collect_bool P)) (tptp.collect_bool (tptp.aa_fun8098540714523660868l_bool (tptp.aTP_Lamm_ck A) P)))))
% 16.06/16.26 (assume a2633 (forall ((A tptp.produc3843707927480180839at_nat) (P tptp.fun_Pr1607443439640623155t_bool)) (= (tptp.insert9069300056098147895at_nat A (tptp.collec6321179662152712658at_nat P)) (tptp.collec6321179662152712658at_nat (tptp.aa_fun5022828243006652836t_bool (tptp.aTP_Lamm_cl A) P)))))
% 16.06/16.26 (assume a2634 (forall ((A tptp.nat) (P tptp.fun_nat_bool)) (= (tptp.insert_nat A (tptp.collect_nat P)) (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_cm A) P)))))
% 16.06/16.26 (assume a2635 (forall ((A tptp.complex) (P tptp.fun_complex_bool)) (= (tptp.insert_complex A (tptp.collect_complex P)) (tptp.collect_complex (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_cn A) P)))))
% 16.06/16.26 (assume a2636 (forall ((A tptp.product_prod_nat_nat) (P tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.insert8211810215607154385at_nat A (tptp.collec3392354462482085612at_nat P)) (tptp.collec3392354462482085612at_nat (tptp.aa_fun830836278467416944t_bool (tptp.aTP_Lamm_co A) P)))))
% 16.06/16.26 (assume a2637 (forall ((A tptp.set_nat) (P tptp.fun_set_nat_bool)) (= (tptp.insert_set_nat A (tptp.collect_set_nat P)) (tptp.collect_set_nat (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_cp A) P)))))
% 16.06/16.26 (assume a2638 (forall ((A tptp.list_nat) (P tptp.fun_list_nat_bool)) (= (tptp.insert_list_nat A (tptp.collect_list_nat P)) (tptp.collect_list_nat (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_cq A) P)))))
% 16.06/16.26 (assume a2639 (forall ((A tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.insert9069300056098147895at_nat A B4) (tptp.collec6321179662152712658at_nat (tptp.aa_set377272637606474814t_bool (tptp.aTP_Lamm_cr A) B4)))))
% 16.06/16.26 (assume a2640 (forall ((A tptp.real) (B4 tptp.set_real)) (= (tptp.insert_real A B4) (tptp.collect_real (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_cs A) B4)))))
% 16.06/16.26 (assume a2641 (forall ((A tptp.bool) (B4 tptp.set_bool)) (= (tptp.insert_bool A B4) (tptp.collect_bool (tptp.aa_set6670506438128111678l_bool (tptp.aTP_Lamm_ct A) B4)))))
% 16.06/16.26 (assume a2642 (forall ((A tptp.int) (B4 tptp.set_int)) (= (tptp.insert_int A B4) (tptp.collect_int (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_cu A) B4)))))
% 16.06/16.26 (assume a2643 (forall ((A tptp.nat) (B4 tptp.set_nat)) (= (tptp.insert_nat A B4) (tptp.collect_nat (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_cv A) B4)))))
% 16.06/16.26 (assume a2644 (forall ((A tptp.complex) (B4 tptp.set_complex)) (= (tptp.insert_complex A B4) (tptp.collect_complex (tptp.aa_set3741564773079358752x_bool (tptp.aTP_Lamm_cw A) B4)))))
% 16.06/16.26 (assume a2645 (forall ((A tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.insert8211810215607154385at_nat A B4) (tptp.collec3392354462482085612at_nat (tptp.aa_set5223363028666124222t_bool (tptp.aTP_Lamm_cx A) B4)))))
% 16.06/16.26 (assume a2646 (forall ((A tptp.set_nat) (B4 tptp.set_set_nat)) (= (tptp.insert_set_nat A B4) (tptp.collect_set_nat (tptp.aa_set9121396911425987952t_bool (tptp.aTP_Lamm_cy A) B4)))))
% 16.06/16.26 (assume a2647 (forall ((A tptp.list_nat) (B4 tptp.set_list_nat)) (= (tptp.insert_list_nat A B4) (tptp.collect_list_nat (tptp.aa_set257547205302447420t_bool (tptp.aTP_Lamm_cz A) B4)))))
% 16.06/16.26 (assume a2648 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_less_set_complex A4) B4)) (tptp.ord_le3776645642988763374x_bool (tptp.aTP_Lamm_ad A4) (tptp.aTP_Lamm_ad B4)))))
% 16.06/16.26 (assume a2649 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real A4) B4)) (tptp.ord_le7519368973566061808l_bool (tptp.aTP_Lamm_a A4) (tptp.aTP_Lamm_a B4)))))
% 16.06/16.26 (assume a2650 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_set_bool A4) B4)) (tptp.ord_le2077783555311705303l_bool (tptp.aTP_Lamm_aa A4) (tptp.aTP_Lamm_aa B4)))))
% 16.06/16.26 (assume a2651 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat A4) B4)) (tptp.ord_le6841235830588351564t_bool (tptp.aTP_Lamm_ac A4) (tptp.aTP_Lamm_ac B4)))))
% 16.06/16.26 (assume a2652 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int A4) B4)) (tptp.ord_le3716944864119727344t_bool (tptp.aTP_Lamm_ab A4) (tptp.aTP_Lamm_ab B4)))))
% 16.06/16.26 (assume a2653 (forall ((P tptp.fun_Pr1607443439640623155t_bool) (A tptp.produc3843707927480180839at_nat)) (and (=> (tptp.pp (tptp.aa_Pro1809015098595223084t_bool P A)) (= (tptp.collec6321179662152712658at_nat (tptp.aa_Pro2859564254541897054t_bool (tptp.aTP_Lamm_da P) A)) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))) (=> (not (tptp.pp (tptp.aa_Pro1809015098595223084t_bool P A))) (= (tptp.collec6321179662152712658at_nat (tptp.aa_Pro2859564254541897054t_bool (tptp.aTP_Lamm_da P) A)) tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.26 (assume a2654 (forall ((P tptp.fun_complex_bool) (A tptp.complex)) (and (=> (tptp.pp (tptp.aa_complex_bool P A)) (= (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_db P) A)) (tptp.insert_complex A tptp.bot_bot_set_complex))) (=> (not (tptp.pp (tptp.aa_complex_bool P A))) (= (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_db P) A)) tptp.bot_bot_set_complex)))))
% 16.06/16.26 (assume a2655 (forall ((P tptp.fun_set_nat_bool) (A tptp.set_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool P A)) (= (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool (tptp.aTP_Lamm_dc P) A)) (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))) (=> (not (tptp.pp (tptp.aa_set_nat_bool P A))) (= (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool (tptp.aTP_Lamm_dc P) A)) tptp.bot_bot_set_set_nat)))))
% 16.06/16.26 (assume a2656 (forall ((P tptp.fun_list_nat_bool) (A tptp.list_nat)) (and (=> (tptp.pp (tptp.aa_list_nat_bool P A)) (= (tptp.collect_list_nat (tptp.aa_lis4768068104879709938t_bool (tptp.aTP_Lamm_dd P) A)) (tptp.insert_list_nat A tptp.bot_bot_set_list_nat))) (=> (not (tptp.pp (tptp.aa_list_nat_bool P A))) (= (tptp.collect_list_nat (tptp.aa_lis4768068104879709938t_bool (tptp.aTP_Lamm_dd P) A)) tptp.bot_bot_set_list_nat)))))
% 16.06/16.26 (assume a2657 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (A tptp.product_prod_nat_nat)) (and (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P A)) (= (tptp.collec3392354462482085612at_nat (tptp.aa_Pro595088089689268830t_bool (tptp.aTP_Lamm_de P) A)) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))) (=> (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P A))) (= (tptp.collec3392354462482085612at_nat (tptp.aa_Pro595088089689268830t_bool (tptp.aTP_Lamm_de P) A)) tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.26 (assume a2658 (forall ((P tptp.fun_bool_bool) (A tptp.bool)) (and (=> (tptp.pp (tptp.aa_bool_bool P A)) (= (tptp.collect_bool (tptp.aa_boo8970175072276269406l_bool (tptp.aTP_Lamm_df P) A)) (tptp.insert_bool A tptp.bot_bot_set_bool))) (=> (not (tptp.pp (tptp.aa_bool_bool P A))) (= (tptp.collect_bool (tptp.aa_boo8970175072276269406l_bool (tptp.aTP_Lamm_df P) A)) tptp.bot_bot_set_bool)))))
% 16.06/16.26 (assume a2659 (forall ((P tptp.fun_nat_bool) (A tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool P A)) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_dg P) A)) (tptp.insert_nat A tptp.bot_bot_set_nat))) (=> (not (tptp.pp (tptp.aa_nat_bool P A))) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_dg P) A)) tptp.bot_bot_set_nat)))))
% 16.06/16.26 (assume a2660 (forall ((P tptp.fun_int_bool) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool P A)) (= (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_dh P) A)) (tptp.insert_int A tptp.bot_bot_set_int))) (=> (not (tptp.pp (tptp.aa_int_bool P A))) (= (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_dh P) A)) tptp.bot_bot_set_int)))))
% 16.06/16.26 (assume a2661 (forall ((P tptp.fun_Pr1607443439640623155t_bool) (A tptp.produc3843707927480180839at_nat)) (and (=> (tptp.pp (tptp.aa_Pro1809015098595223084t_bool P A)) (= (tptp.collec6321179662152712658at_nat (tptp.aa_Pro2859564254541897054t_bool (tptp.aTP_Lamm_di P) A)) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))) (=> (not (tptp.pp (tptp.aa_Pro1809015098595223084t_bool P A))) (= (tptp.collec6321179662152712658at_nat (tptp.aa_Pro2859564254541897054t_bool (tptp.aTP_Lamm_di P) A)) tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.26 (assume a2662 (forall ((P tptp.fun_complex_bool) (A tptp.complex)) (and (=> (tptp.pp (tptp.aa_complex_bool P A)) (= (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_dj P) A)) (tptp.insert_complex A tptp.bot_bot_set_complex))) (=> (not (tptp.pp (tptp.aa_complex_bool P A))) (= (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_dj P) A)) tptp.bot_bot_set_complex)))))
% 16.06/16.26 (assume a2663 (forall ((P tptp.fun_set_nat_bool) (A tptp.set_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool P A)) (= (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool (tptp.aTP_Lamm_dk P) A)) (tptp.insert_set_nat A tptp.bot_bot_set_set_nat))) (=> (not (tptp.pp (tptp.aa_set_nat_bool P A))) (= (tptp.collect_set_nat (tptp.aa_set5116768664143533222t_bool (tptp.aTP_Lamm_dk P) A)) tptp.bot_bot_set_set_nat)))))
% 16.06/16.26 (assume a2664 (forall ((P tptp.fun_list_nat_bool) (A tptp.list_nat)) (and (=> (tptp.pp (tptp.aa_list_nat_bool P A)) (= (tptp.collect_list_nat (tptp.aa_lis4768068104879709938t_bool (tptp.aTP_Lamm_dl P) A)) (tptp.insert_list_nat A tptp.bot_bot_set_list_nat))) (=> (not (tptp.pp (tptp.aa_list_nat_bool P A))) (= (tptp.collect_list_nat (tptp.aa_lis4768068104879709938t_bool (tptp.aTP_Lamm_dl P) A)) tptp.bot_bot_set_list_nat)))))
% 16.06/16.26 (assume a2665 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (A tptp.product_prod_nat_nat)) (and (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P A)) (= (tptp.collec3392354462482085612at_nat (tptp.aa_Pro595088089689268830t_bool (tptp.aTP_Lamm_dm P) A)) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))) (=> (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P A))) (= (tptp.collec3392354462482085612at_nat (tptp.aa_Pro595088089689268830t_bool (tptp.aTP_Lamm_dm P) A)) tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.26 (assume a2666 (forall ((P tptp.fun_bool_bool) (A tptp.bool)) (and (=> (tptp.pp (tptp.aa_bool_bool P A)) (= (tptp.collect_bool (tptp.aa_boo8970175072276269406l_bool (tptp.aTP_Lamm_dn P) A)) (tptp.insert_bool A tptp.bot_bot_set_bool))) (=> (not (tptp.pp (tptp.aa_bool_bool P A))) (= (tptp.collect_bool (tptp.aa_boo8970175072276269406l_bool (tptp.aTP_Lamm_dn P) A)) tptp.bot_bot_set_bool)))))
% 16.06/16.26 (assume a2667 (forall ((P tptp.fun_nat_bool) (A tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool P A)) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_do P) A)) (tptp.insert_nat A tptp.bot_bot_set_nat))) (=> (not (tptp.pp (tptp.aa_nat_bool P A))) (= (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_do P) A)) tptp.bot_bot_set_nat)))))
% 16.06/16.26 (assume a2668 (forall ((P tptp.fun_int_bool) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool P A)) (= (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_dp P) A)) (tptp.insert_int A tptp.bot_bot_set_int))) (=> (not (tptp.pp (tptp.aa_int_bool P A))) (= (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_dp P) A)) tptp.bot_bot_set_int)))))
% 16.06/16.26 (assume a2669 (forall ((A tptp.int) (B4 tptp.set_int)) (= (tptp.insert_int A B4) (tptp.sup_sup_set_int (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_aq A)) B4))))
% 16.06/16.26 (assume a2670 (forall ((A tptp.bool) (B4 tptp.set_bool)) (= (tptp.insert_bool A B4) (tptp.sup_sup_set_bool (tptp.collect_bool (tptp.aa_boo8970175072276269406l_bool tptp.aTP_Lamm_ao A)) B4))))
% 16.06/16.26 (assume a2671 (forall ((A tptp.complex) (B4 tptp.set_complex)) (= (tptp.insert_complex A B4) (tptp.sup_sup_set_complex (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool tptp.aTP_Lamm_ak A)) B4))))
% 16.06/16.26 (assume a2672 (forall ((A tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.insert8211810215607154385at_nat A B4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.collec3392354462482085612at_nat (tptp.aa_Pro595088089689268830t_bool tptp.aTP_Lamm_an A))) B4))))
% 16.06/16.26 (assume a2673 (forall ((A tptp.set_nat) (B4 tptp.set_set_nat)) (= (tptp.insert_set_nat A B4) (tptp.sup_sup_set_set_nat (tptp.collect_set_nat (tptp.aTP_Lamm_al A)) B4))))
% 16.06/16.26 (assume a2674 (forall ((A tptp.list_nat) (B4 tptp.set_list_nat)) (= (tptp.insert_list_nat A B4) (tptp.sup_sup_set_list_nat (tptp.collect_list_nat (tptp.aTP_Lamm_am A)) B4))))
% 16.06/16.26 (assume a2675 (forall ((A tptp.nat) (B4 tptp.set_nat)) (= (tptp.insert_nat A B4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ap A))) B4))))
% 16.06/16.26 (assume a2676 (forall ((A tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.insert9069300056098147895at_nat A B4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.collec6321179662152712658at_nat (tptp.aTP_Lamm_aj A))) B4))))
% 16.06/16.26 (assume a2677 (forall ((R tptp.set_Pr4329608150637261639at_nat) (S3 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.ord_le1428200584844665933t_bool (tptp.aTP_Lamm_bd R) (tptp.aTP_Lamm_bd S3)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat R) S3)))))
% 16.06/16.26 (assume a2678 (forall ((R tptp.set_Pr8218934625190621173um_num) (S3 tptp.set_Pr8218934625190621173um_num)) (= (tptp.ord_le2278887450727035829m_bool (tptp.aTP_Lamm_az R) (tptp.aTP_Lamm_az S3)) (tptp.ord_le880128212290418581um_num R S3))))
% 16.06/16.26 (assume a2679 (forall ((R tptp.set_Pr6200539531224447659at_num) (S3 tptp.set_Pr6200539531224447659at_num)) (= (tptp.ord_le8094096262961209215m_bool (tptp.aTP_Lamm_ba R) (tptp.aTP_Lamm_ba S3)) (tptp.ord_le8085105155179020875at_num R S3))))
% 16.06/16.26 (assume a2680 (forall ((R tptp.set_Pr1261947904930325089at_nat) (S3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.ord_le4899916226251588169t_bool (tptp.aTP_Lamm_bb R) (tptp.aTP_Lamm_bb S3)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat R) S3)))))
% 16.06/16.26 (assume a2681 (forall ((R tptp.set_Pr958786334691620121nt_int) (S3 tptp.set_Pr958786334691620121nt_int)) (= (tptp.ord_le4546832483993983377t_bool (tptp.aTP_Lamm_bc R) (tptp.aTP_Lamm_bc S3)) (tptp.ord_le2843351958646193337nt_int R S3))))
% 16.06/16.26 (assume a2682 (forall ((T tptp.vEBT_VEBT)) (= (tptp.vEBT_set_vebt T) (tptp.collect_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T)))))
% 16.06/16.26 (assume a2683 (forall ((N tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex N)))))
% 16.06/16.26 (assume a2684 (forall ((N tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 16.06/16.26 (assume a2685 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 16.06/16.26 (assume a2686 (forall ((N tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 16.06/16.26 (assume a2687 (forall ((N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.26 (assume a2688 (forall ((Z tptp.complex) (W tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.26 (assume a2689 (forall ((Z tptp.real) (W tptp.num)) (= (tptp.aa_nat_real (tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_real (tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.26 (assume a2690 (forall ((Z tptp.rat) (W tptp.num)) (= (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.26 (assume a2691 (forall ((Z tptp.nat) (W tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.26 (assume a2692 (forall ((Z tptp.int) (W tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.26 (assume a2693 (forall ((Uy tptp.option4927543243414619207at_nat) (V2 tptp.nat) (TreeList tptp.list_VEBT_VEBT) (S tptp.vEBT_VEBT) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.vEBT_Node Uy (tptp.aa_nat_nat tptp.suc V2) TreeList S)) X3)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)))))))
% 16.06/16.26 (assume a2694 (forall ((V2 tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Vd tptp.vEBT_VEBT) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V2) TreeList Vd)) X3)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)))))))
% 16.06/16.26 (assume a2695 (forall ((Mi tptp.nat) (Ma tptp.nat) (V2 tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc V2) TreeList Vc)) X3)) (or (= X3 Mi) (= X3 Ma) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))))))))
% 16.06/16.26 (assume a2696 (forall ((X3 tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary) X3) (tptp.some_nat Mi))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi))) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary) X3) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat))))))
% 16.06/16.26 (assume a2697 (forall ((Ma tptp.nat) (X3 tptp.nat) (Mi tptp.nat) (Va tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X3)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary) X3) (tptp.some_nat Ma))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X3))) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary) X3) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_greater (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_pred (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X3) (tptp.some_nat Mi) tptp.none_nat) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_pred Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat))))))
% 16.06/16.26 (assume a2698 (forall ((Xs tptp.set_nat) (X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set Xs) X3) Y)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y) Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) Xs)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X4)))))))))
% 16.06/16.26 (assume a2699 (forall ((Xs tptp.set_nat) (X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_pred_in_set Xs) X3) Y)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y) Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X3)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) Xs)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Y)))))))))
% 16.06/16.26 (assume a2700 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)) B)))))
% 16.06/16.26 (assume a2701 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int)) B)))))
% 16.06/16.26 (assume a2702 (forall ((X3 tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (and (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X3))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary))) (=> (not (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X3)))) (and (=> (and (= X3 Mi) (= X3 Ma)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary) X3) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary))) (=> (not (and (= X3 Mi) (= X3 Ma))) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary) X3) (tptp.if_VEBT_VEBT (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) Ma))) (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi))) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Ma)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat 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(tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) Ma))) (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi))) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Ma)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) Ma))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) Summary)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary)))))))))
% 16.06/16.26 (assume a2703 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary)) X3)) (=> (not (= X3 Mi)) (=> (not (= X3 Ma)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X3))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X3))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)))))))))))))
% 16.06/16.26 (assume a2704 (forall ((I tptp.nat) (Xs tptp.list_VEBT_VEBT) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_s6755466524823107622T_VEBT Xs))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.set_VEBT_VEBT2 (tptp.list_u1324408373059187874T_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I (tptp.nth_VEBT_VEBT Xs J)) J (tptp.nth_VEBT_VEBT Xs I))) (tptp.set_VEBT_VEBT2 Xs))))))
% 16.06/16.26 (assume a2705 (forall ((I tptp.nat) (Xs tptp.list_bool) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_bool Xs))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) (tptp.size_size_list_bool Xs))) (= (tptp.set_bool2 (tptp.list_update_bool (tptp.list_update_bool Xs I (tptp.aa_nat_bool (tptp.nth_bool Xs) J)) J (tptp.aa_nat_bool (tptp.nth_bool Xs) I))) (tptp.set_bool2 Xs))))))
% 16.06/16.26 (assume a2706 (forall ((I tptp.nat) (Xs tptp.list_nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_nat Xs))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) (tptp.size_size_list_nat Xs))) (= (tptp.set_nat2 (tptp.list_update_nat (tptp.list_update_nat Xs I (tptp.aa_nat_nat (tptp.nth_nat Xs) J)) J (tptp.aa_nat_nat (tptp.nth_nat Xs) I))) (tptp.set_nat2 Xs))))))
% 16.06/16.26 (assume a2707 (forall ((I tptp.nat) (Xs tptp.list_int) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_int Xs))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) (tptp.size_size_list_int Xs))) (= (tptp.set_int2 (tptp.list_update_int (tptp.list_update_int Xs I (tptp.aa_nat_int (tptp.nth_int Xs) J)) J (tptp.aa_nat_int (tptp.nth_int Xs) I))) (tptp.set_int2 Xs))))))
% 16.06/16.26 (assume a2708 (forall ((X3 tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Mi tptp.nat) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (not (= X3 Ma)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X3) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_insert Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary)))))))))
% 16.06/16.26 (assume a2709 (forall ((Mi tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (X3 tptp.nat) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (not (= X3 Ma)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Mi) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_insert Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary)))))))))
% 16.06/16.26 (assume a2710 (forall ((I tptp.nat) (Xs tptp.list_VEBT_VEBT) (X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I X3) I) X3))))
% 16.06/16.26 (assume a2711 (forall ((I tptp.nat) (Xs tptp.list_bool) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool (tptp.list_update_bool Xs I X3)) I)) (tptp.pp X3)))))
% 16.06/16.26 (assume a2712 (forall ((I tptp.nat) (Xs tptp.list_nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_nat Xs))) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.list_update_nat Xs I X3)) I) X3))))
% 16.06/16.26 (assume a2713 (forall ((I tptp.nat) (Xs tptp.list_int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_int Xs))) (= (tptp.aa_nat_int (tptp.nth_int (tptp.list_update_int Xs I X3)) I) X3))))
% 16.06/16.26 (assume a2714 (forall ((Xs tptp.list_VEBT_VEBT) (I tptp.nat) (X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_s6755466524823107622T_VEBT Xs)) I)) (= (tptp.list_u1324408373059187874T_VEBT Xs I X3) Xs))))
% 16.06/16.26 (assume a2715 (forall ((Xs tptp.list_bool) (I tptp.nat) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_bool Xs)) I)) (= (tptp.list_update_bool Xs I X3) Xs))))
% 16.06/16.26 (assume a2716 (forall ((Xs tptp.list_nat) (I tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_nat Xs)) I)) (= (tptp.list_update_nat Xs I X3) Xs))))
% 16.06/16.26 (assume a2717 (forall ((Xs tptp.list_int) (I tptp.nat) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_int Xs)) I)) (= (tptp.list_update_int Xs I X3) Xs))))
% 16.06/16.26 (assume a2718 (forall ((Xs tptp.list_VEBT_VEBT) (I tptp.nat) (X3 tptp.vEBT_VEBT)) (= (tptp.size_s6755466524823107622T_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I X3)) (tptp.size_s6755466524823107622T_VEBT Xs))))
% 16.06/16.26 (assume a2719 (forall ((Xs tptp.list_bool) (I tptp.nat) (X3 tptp.bool)) (= (tptp.size_size_list_bool (tptp.list_update_bool Xs I X3)) (tptp.size_size_list_bool Xs))))
% 16.06/16.26 (assume a2720 (forall ((Xs tptp.list_nat) (I tptp.nat) (X3 tptp.nat)) (= (tptp.size_size_list_nat (tptp.list_update_nat Xs I X3)) (tptp.size_size_list_nat Xs))))
% 16.06/16.26 (assume a2721 (forall ((Xs tptp.list_int) (I tptp.nat) (X3 tptp.int)) (= (tptp.size_size_list_int (tptp.list_update_int Xs I X3)) (tptp.size_size_list_int Xs))))
% 16.06/16.26 (assume a2722 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X3) Xa2)) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Va2 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va2 Vb2))) (not (or (= Xa2 Mi2) (= Xa2 Ma2))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V) TreeList2 Vc2))) (not (or (= Xa2 Mi2) (= Xa2 Ma2) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))))) (not (forall ((V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vd2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList2 Vd2))) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))))))))))
% 16.06/16.26 (assume a2723 (forall ((T tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2724 (forall ((T tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2725 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.26 (assume a2726 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_vebt_buildup N)) N)))))
% 16.06/16.26 (assume a2727 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) tptp.zero_zero_nat)) (= N tptp.zero_zero_nat))))
% 16.06/16.26 (assume a2728 (forall ((N tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))) (= N tptp.zero_zero_nat))))
% 16.06/16.26 (assume a2729 (forall ((A tptp.literal)) (= (tptp.plus_plus_literal A tptp.zero_zero_literal) A)))
% 16.06/16.26 (assume a2730 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 16.06/16.26 (assume a2731 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.zero_zero_rat) A)))
% 16.06/16.26 (assume a2732 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 16.06/16.26 (assume a2733 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 16.06/16.26 (assume a2734 (forall ((A tptp.real)) (= (= tptp.zero_zero_real (tptp.aa_real_real (tptp.plus_plus_real A) A)) (= A tptp.zero_zero_real))))
% 16.06/16.26 (assume a2735 (forall ((A tptp.rat)) (= (= tptp.zero_zero_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A)) (= A tptp.zero_zero_rat))))
% 16.06/16.26 (assume a2736 (forall ((A tptp.int)) (= (= tptp.zero_zero_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A)) (= A tptp.zero_zero_int))))
% 16.06/16.26 (assume a2737 (forall ((B tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real B) A) A) (= B tptp.zero_zero_real))))
% 16.06/16.26 (assume a2738 (forall ((B tptp.rat) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) A) A) (= B tptp.zero_zero_rat))))
% 16.06/16.26 (assume a2739 (forall ((B tptp.nat) (A tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A) A) (= B tptp.zero_zero_nat))))
% 16.06/16.26 (assume a2740 (forall ((B tptp.int) (A tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A) A) (= B tptp.zero_zero_int))))
% 16.06/16.26 (assume a2741 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real A) B) A) (= B tptp.zero_zero_real))))
% 16.06/16.26 (assume a2742 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B) A) (= B tptp.zero_zero_rat))))
% 16.06/16.26 (assume a2743 (forall ((A tptp.nat) (B tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B) A) (= B tptp.zero_zero_nat))))
% 16.06/16.26 (assume a2744 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) A) (= B tptp.zero_zero_int))))
% 16.06/16.26 (assume a2745 (forall ((A tptp.real) (B tptp.real)) (= (= A (tptp.aa_real_real (tptp.plus_plus_real B) A)) (= B tptp.zero_zero_real))))
% 16.06/16.26 (assume a2746 (forall ((A tptp.rat) (B tptp.rat)) (= (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) A)) (= B tptp.zero_zero_rat))))
% 16.06/16.26 (assume a2747 (forall ((A tptp.nat) (B tptp.nat)) (= (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A)) (= B tptp.zero_zero_nat))))
% 16.06/16.26 (assume a2748 (forall ((A tptp.int) (B tptp.int)) (= (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A)) (= B tptp.zero_zero_int))))
% 16.06/16.26 (assume a2749 (forall ((A tptp.real) (B tptp.real)) (= (= A (tptp.aa_real_real (tptp.plus_plus_real A) B)) (= B tptp.zero_zero_real))))
% 16.06/16.26 (assume a2750 (forall ((A tptp.rat) (B tptp.rat)) (= (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) (= B tptp.zero_zero_rat))))
% 16.06/16.26 (assume a2751 (forall ((A tptp.nat) (B tptp.nat)) (= (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) (= B tptp.zero_zero_nat))))
% 16.06/16.26 (assume a2752 (forall ((A tptp.int) (B tptp.int)) (= (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) (= B tptp.zero_zero_int))))
% 16.06/16.26 (assume a2753 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X3) Y) tptp.zero_zero_nat) (and (= X3 tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2754 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (= tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X3) Y)) (and (= X3 tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2755 (forall ((A tptp.literal)) (= (tptp.plus_plus_literal tptp.zero_zero_literal A) A)))
% 16.06/16.26 (assume a2756 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 16.06/16.26 (assume a2757 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.zero_zero_rat) A) A)))
% 16.06/16.26 (assume a2758 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) A) A)))
% 16.06/16.26 (assume a2759 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 16.06/16.26 (assume a2760 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real A) A) tptp.zero_zero_real)))
% 16.06/16.26 (assume a2761 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) A) tptp.zero_zero_rat)))
% 16.06/16.26 (assume a2762 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) A) tptp.zero_zero_nat)))
% 16.06/16.26 (assume a2763 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) A) tptp.zero_zero_int)))
% 16.06/16.26 (assume a2764 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real A) tptp.zero_zero_real) A)))
% 16.06/16.26 (assume a2765 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) tptp.zero_zero_rat) A)))
% 16.06/16.26 (assume a2766 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) tptp.zero_zero_nat) A)))
% 16.06/16.26 (assume a2767 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) tptp.zero_zero_int) A)))
% 16.06/16.26 (assume a2768 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 16.06/16.26 (assume a2769 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real A) tptp.zero_zero_real) A)))
% 16.06/16.26 (assume a2770 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) tptp.zero_zero_rat) A)))
% 16.06/16.26 (assume a2771 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) tptp.zero_zero_int) A)))
% 16.06/16.26 (assume a2772 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real A) A) tptp.zero_zero_real)))
% 16.06/16.26 (assume a2773 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) A) tptp.zero_zero_rat)))
% 16.06/16.26 (assume a2774 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) A) tptp.zero_zero_int)))
% 16.06/16.26 (assume a2775 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2776 (forall ((N tptp.nat)) (= (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.26 (assume a2777 (forall ((A tptp.nat)) (= (not (= A tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)))))
% 16.06/16.26 (assume a2778 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A))))
% 16.06/16.26 (assume a2779 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))))
% 16.06/16.26 (assume a2780 (forall ((M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N) tptp.zero_zero_nat) (and (= M2 tptp.zero_zero_nat) (= N tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2781 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) tptp.zero_zero_nat) M2)))
% 16.06/16.26 (assume a2782 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) M2) tptp.zero_zero_nat)))
% 16.06/16.26 (assume a2783 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)))
% 16.06/16.26 (assume a2784 (forall ((M2 tptp.nat) (K2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K2)) (or (= M2 N) (= K2 tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2785 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) N)) (or (= M2 N) (= K2 tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2786 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 16.06/16.26 (assume a2787 (forall ((M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N) tptp.zero_zero_nat) (or (= M2 tptp.zero_zero_nat) (= N tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2788 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B) A))))
% 16.06/16.26 (assume a2789 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B) A))))
% 16.06/16.26 (assume a2790 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) A))))
% 16.06/16.26 (assume a2791 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) A))))
% 16.06/16.26 (assume a2792 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B) B))))
% 16.06/16.26 (assume a2793 (forall ((A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B) B))))
% 16.06/16.26 (assume a2794 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) B))))
% 16.06/16.26 (assume a2795 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) B))))
% 16.06/16.26 (assume a2796 (forall ((B tptp.rat) (C tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat B) C)) A)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A))))))
% 16.06/16.26 (assume a2797 (forall ((B tptp.num) (C tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num B) C)) A)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A))))))
% 16.06/16.26 (assume a2798 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat B) C)) A)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A))))))
% 16.06/16.26 (assume a2799 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int B) C)) A)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A))))))
% 16.06/16.26 (assume a2800 (forall ((X3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.ord_ma7524802468073614006at_nat tptp.bot_bo2099793752762293965at_nat) X3) X3)))
% 16.06/16.26 (assume a2801 (forall ((X3 tptp.set_bool)) (= (tptp.ord_max_set_bool tptp.bot_bot_set_bool X3) X3)))
% 16.06/16.26 (assume a2802 (forall ((X3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.ord_max_set_nat tptp.bot_bot_set_nat) X3) X3)))
% 16.06/16.26 (assume a2803 (forall ((X3 tptp.set_int)) (= (tptp.ord_max_set_int tptp.bot_bot_set_int X3) X3)))
% 16.06/16.26 (assume a2804 (forall ((X3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.bot_bot_nat) X3) X3)))
% 16.06/16.26 (assume a2805 (forall ((X3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.ord_ma7524802468073614006at_nat X3) tptp.bot_bo2099793752762293965at_nat) X3)))
% 16.06/16.26 (assume a2806 (forall ((X3 tptp.set_bool)) (= (tptp.ord_max_set_bool X3 tptp.bot_bot_set_bool) X3)))
% 16.06/16.26 (assume a2807 (forall ((X3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.ord_max_set_nat X3) tptp.bot_bot_set_nat) X3)))
% 16.06/16.26 (assume a2808 (forall ((X3 tptp.set_int)) (= (tptp.ord_max_set_int X3 tptp.bot_bot_set_int) X3)))
% 16.06/16.26 (assume a2809 (forall ((X3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X3) tptp.bot_bot_nat) X3)))
% 16.06/16.26 (assume a2810 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat M2) N)))))
% 16.06/16.26 (assume a2811 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat N) tptp.zero_zero_nat) N)))
% 16.06/16.26 (assume a2812 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.zero_zero_nat) N) N)))
% 16.06/16.26 (assume a2813 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) tptp.zero_zero_nat) A)))
% 16.06/16.26 (assume a2814 (forall ((A tptp.nat) (B tptp.nat)) (= (= tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)) (and (= A tptp.zero_zero_nat) (= B tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2815 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.zero_zero_nat) A) A)))
% 16.06/16.26 (assume a2816 (forall ((A tptp.nat) (B tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) tptp.zero_zero_nat) (and (= A tptp.zero_zero_nat) (= B tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2817 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real B) A)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 16.06/16.26 (assume a2818 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) A)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 16.06/16.26 (assume a2819 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A)) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2820 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)))))
% 16.06/16.26 (assume a2821 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 16.06/16.26 (assume a2822 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 16.06/16.26 (assume a2823 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2824 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)))))
% 16.06/16.26 (assume a2825 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.plus_plus_real A) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)))))
% 16.06/16.26 (assume a2826 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)))))
% 16.06/16.26 (assume a2827 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)))))
% 16.06/16.26 (assume a2828 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)))))
% 16.06/16.26 (assume a2829 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.plus_plus_real B) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)))))
% 16.06/16.26 (assume a2830 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)))))
% 16.06/16.26 (assume a2831 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)))))
% 16.06/16.26 (assume a2832 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)))))
% 16.06/16.26 (assume a2833 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real A) A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 16.06/16.26 (assume a2834 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 16.06/16.26 (assume a2835 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)))))
% 16.06/16.26 (assume a2836 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real A) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 16.06/16.26 (assume a2837 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 16.06/16.26 (assume a2838 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))
% 16.06/16.26 (assume a2839 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real A) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 16.06/16.26 (assume a2840 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))
% 16.06/16.26 (assume a2841 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))
% 16.06/16.26 (assume a2842 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 16.06/16.26 (assume a2843 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 16.06/16.26 (assume a2844 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 16.06/16.26 (assume a2845 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.plus_plus_real B) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)))))
% 16.06/16.26 (assume a2846 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B)))))
% 16.06/16.26 (assume a2847 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)))))
% 16.06/16.26 (assume a2848 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)))))
% 16.06/16.26 (assume a2849 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.plus_plus_real A) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)))))
% 16.06/16.26 (assume a2850 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B)))))
% 16.06/16.26 (assume a2851 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)))))
% 16.06/16.26 (assume a2852 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)))))
% 16.06/16.26 (assume a2853 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 16.06/16.26 (assume a2854 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 16.06/16.26 (assume a2855 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2856 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 16.06/16.26 (assume a2857 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real B) A)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 16.06/16.26 (assume a2858 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) A)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 16.06/16.26 (assume a2859 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A)) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2860 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 16.06/16.26 (assume a2861 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.minus_minus_real A) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)))))
% 16.06/16.26 (assume a2862 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))
% 16.06/16.26 (assume a2863 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)))))
% 16.06/16.26 (assume a2864 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.minus_minus_real A) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)))))
% 16.06/16.26 (assume a2865 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)))))
% 16.06/16.26 (assume a2866 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)))))
% 16.06/16.26 (assume a2867 (forall ((X3 tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real X3) X3)) (tptp.aa_real_real (tptp.times_times_real Y) Y)) tptp.zero_zero_real) (and (= X3 tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 16.06/16.26 (assume a2868 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Y)) tptp.zero_zero_rat) (and (= X3 tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))
% 16.06/16.26 (assume a2869 (forall ((X3 tptp.int) (Y tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y)) tptp.zero_zero_int) (and (= X3 tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 16.06/16.26 (assume a2870 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) tptp.zero_zero_nat)))
% 16.06/16.26 (assume a2871 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_rat)))
% 16.06/16.26 (assume a2872 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_nat)))
% 16.06/16.26 (assume a2873 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_real)))
% 16.06/16.26 (assume a2874 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_int)))
% 16.06/16.26 (assume a2875 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_complex)))
% 16.06/16.26 (assume a2876 (forall ((K2 tptp.num)) (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) tptp.zero_zero_rat)))
% 16.06/16.26 (assume a2877 (forall ((K2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) tptp.zero_zero_nat)))
% 16.06/16.26 (assume a2878 (forall ((K2 tptp.num)) (= (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) tptp.zero_zero_real)))
% 16.06/16.26 (assume a2879 (forall ((K2 tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) tptp.zero_zero_int)))
% 16.06/16.26 (assume a2880 (forall ((K2 tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) tptp.zero_zero_complex)))
% 16.06/16.26 (assume a2881 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 16.06/16.26 (assume a2882 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 16.06/16.26 (assume a2883 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 16.06/16.26 (assume a2884 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 16.06/16.26 (assume a2885 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)))))
% 16.06/16.26 (assume a2886 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (= N tptp.zero_zero_nat))))
% 16.06/16.26 (assume a2887 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_num_real tptp.numeral_numeral_real V2))) (= (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_num_real tptp.numeral_numeral_real V2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_num_real tptp.numeral_numeral_real V2)))) (= (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_num_real tptp.numeral_numeral_real U))))))
% 16.06/16.26 (assume a2888 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)) (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)) (tptp.aa_num_rat tptp.numeral_numeral_rat V2)))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)) (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_num_rat tptp.numeral_numeral_rat U))))))
% 16.06/16.26 (assume a2889 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat U)) (tptp.aa_num_nat tptp.numeral_numeral_nat V2))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.numeral_numeral_nat U)) (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat V2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat U)) (tptp.aa_num_nat tptp.numeral_numeral_nat V2)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.numeral_numeral_nat U)) (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat U))))))
% 16.06/16.26 (assume a2890 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int U)) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int U)) (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int U)) (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int U)) (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_num_int tptp.numeral_numeral_int U))))))
% 16.06/16.26 (assume a2891 (forall ((X3 tptp.num)) (= (tptp.aa_real_real (tptp.ord_max_real tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real X3)) (tptp.aa_num_real tptp.numeral_numeral_real X3))))
% 16.06/16.26 (assume a2892 (forall ((X3 tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat tptp.zero_zero_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) (tptp.aa_num_rat tptp.numeral_numeral_rat X3))))
% 16.06/16.26 (assume a2893 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat X3))))
% 16.06/16.26 (assume a2894 (forall ((X3 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int X3)) (tptp.aa_num_int tptp.numeral_numeral_int X3))))
% 16.06/16.26 (assume a2895 (forall ((X3 tptp.num)) (= (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real X3))))
% 16.06/16.26 (assume a2896 (forall ((X3 tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) tptp.zero_zero_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat X3))))
% 16.06/16.26 (assume a2897 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X3))))
% 16.06/16.26 (assume a2898 (forall ((X3 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int X3))))
% 16.06/16.26 (assume a2899 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 16.06/16.26 (assume a2900 (forall ((M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (and (= M2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 16.06/16.26 (assume a2901 (forall ((M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (and (= M2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 16.06/16.26 (assume a2902 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) M2)))
% 16.06/16.26 (assume a2903 (forall ((X3 tptp.num)) (= (tptp.aa_real_real (tptp.ord_max_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real X3)) (tptp.aa_num_real tptp.numeral_numeral_real X3))))
% 16.06/16.26 (assume a2904 (forall ((X3 tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) (tptp.aa_num_rat tptp.numeral_numeral_rat X3))))
% 16.06/16.26 (assume a2905 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat X3))))
% 16.06/16.26 (assume a2906 (forall ((X3 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int X3)) (tptp.aa_num_int tptp.numeral_numeral_int X3))))
% 16.06/16.26 (assume a2907 (forall ((X3 tptp.num)) (= (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real X3))))
% 16.06/16.26 (assume a2908 (forall ((X3 tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat X3))))
% 16.06/16.26 (assume a2909 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X3))))
% 16.06/16.26 (assume a2910 (forall ((X3 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int X3))))
% 16.06/16.26 (assume a2911 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.26 (assume a2912 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 16.06/16.26 (assume a2913 (forall ((M2 tptp.nat) (K2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K2))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))))))
% 16.06/16.26 (assume a2914 (forall ((X3 tptp.nat) (M2 tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) M2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (or (= M2 tptp.zero_zero_nat) (= X3 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 16.06/16.26 (assume a2915 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.06/16.26 (assume a2916 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N) tptp.zero_zero_nat))))
% 16.06/16.26 (assume a2917 (forall ((M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N) tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.26 (assume a2918 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) tptp.one_one_nat)) (= N tptp.zero_zero_nat))))
% 16.06/16.26 (assume a2919 (forall ((X3 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X3)) (= N tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a2920 (forall ((B tptp.complex) (W tptp.num) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.numera6690914467698888265omplex W)) A) (and (=> (not (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex W)))) (=> (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 16.06/16.26 (assume a2921 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W)) A) (and (=> (not (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real)) (= B (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W)))) (=> (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 16.06/16.26 (assume a2922 (forall ((B tptp.rat) (W tptp.num) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) (tptp.aa_num_rat tptp.numeral_numeral_rat W)) A) (and (=> (not (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) tptp.zero_zero_rat)) (= B (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) (=> (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 16.06/16.26 (assume a2923 (forall ((A tptp.complex) (B tptp.complex) (W tptp.num)) (= (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.numera6690914467698888265omplex W))) (and (=> (not (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex W)) B)) (=> (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 16.06/16.26 (assume a2924 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (= A (tptp.aa_real_real (tptp.divide_divide_real B) (tptp.aa_num_real tptp.numeral_numeral_real W))) (and (=> (not (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W)) B)) (=> (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 16.06/16.26 (assume a2925 (forall ((A tptp.rat) (B tptp.rat) (W tptp.num)) (= (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (and (=> (not (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W)) B)) (=> (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 16.06/16.26 (assume a2926 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C)) A)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))))))
% 16.06/16.26 (assume a2927 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)) A)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B))))))
% 16.06/16.26 (assume a2928 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B)) A)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))))))
% 16.06/16.26 (assume a2929 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B)) A)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B))))))
% 16.06/16.26 (assume a2930 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C))) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))))))
% 16.06/16.26 (assume a2931 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C))) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B))))))
% 16.06/16.26 (assume a2932 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B))) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))))))
% 16.06/16.26 (assume a2933 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B))) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B))))))
% 16.06/16.26 (assume a2934 (forall ((A tptp.rat) (N tptp.nat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat A) N) tptp.zero_zero_rat) (and (= A tptp.zero_zero_rat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 16.06/16.26 (assume a2935 (forall ((A tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N) tptp.zero_zero_nat) (and (= A tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 16.06/16.26 (assume a2936 (forall ((A tptp.real) (N tptp.nat)) (= (= (tptp.aa_nat_real (tptp.power_power_real A) N) tptp.zero_zero_real) (and (= A tptp.zero_zero_real) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 16.06/16.26 (assume a2937 (forall ((A tptp.int) (N tptp.nat)) (= (= (tptp.aa_nat_int (tptp.power_power_int A) N) tptp.zero_zero_int) (and (= A tptp.zero_zero_int) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 16.06/16.26 (assume a2938 (forall ((A tptp.complex) (N tptp.nat)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex A) N) tptp.zero_zero_complex) (and (= A tptp.zero_zero_complex) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 16.06/16.26 (assume a2939 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) N))))
% 16.06/16.26 (assume a2940 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N))))))
% 16.06/16.26 (assume a2941 (forall ((M2 tptp.nat) (K2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))))))
% 16.06/16.26 (assume a2942 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))))))
% 16.06/16.26 (assume a2943 (forall ((B tptp.real) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real B) M2)) (tptp.aa_nat_real (tptp.power_power_real B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)))))))
% 16.06/16.26 (assume a2944 (forall ((B tptp.rat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) tptp.one_one_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat B) M2)) (tptp.aa_nat_rat (tptp.power_power_rat B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)))))))
% 16.06/16.26 (assume a2945 (forall ((B tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) tptp.one_one_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)))))))
% 16.06/16.26 (assume a2946 (forall ((B tptp.int) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) tptp.one_one_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B) M2)) (tptp.aa_nat_int (tptp.power_power_int B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)))))))
% 16.06/16.26 (assume a2947 (forall ((A tptp.rat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 16.06/16.26 (assume a2948 (forall ((A tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat) (= A tptp.zero_zero_nat))))
% 16.06/16.26 (assume a2949 (forall ((A tptp.real)) (= (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 16.06/16.26 (assume a2950 (forall ((A tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 16.06/16.26 (assume a2951 (forall ((A tptp.complex)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))
% 16.06/16.26 (assume a2952 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))))
% 16.06/16.26 (assume a2953 (forall ((A tptp.rat) (B tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))))
% 16.06/16.26 (assume a2954 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))))))))
% 16.06/16.26 (assume a2955 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))))
% 16.06/16.26 (assume a2956 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) N))))
% 16.06/16.26 (assume a2957 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))
% 16.06/16.26 (assume a2958 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))
% 16.06/16.26 (assume a2959 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))
% 16.06/16.26 (assume a2960 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))
% 16.06/16.26 (assume a2961 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)) (= A tptp.zero_zero_real))))
% 16.06/16.26 (assume a2962 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_rat)) (= A tptp.zero_zero_rat))))
% 16.06/16.26 (assume a2963 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int)) (= A tptp.zero_zero_int))))
% 16.06/16.26 (assume a2964 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (= (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (= X3 Y))))))
% 16.06/16.26 (assume a2965 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (= X3 Y))))))
% 16.06/16.26 (assume a2966 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (= X3 Y))))))
% 16.06/16.26 (assume a2967 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (= (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (= X3 Y))))))
% 16.06/16.26 (assume a2968 (forall ((B tptp.real) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real B) M2)) (tptp.aa_nat_real (tptp.power_power_real B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)))))))
% 16.06/16.26 (assume a2969 (forall ((B tptp.rat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) tptp.one_one_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat B) M2)) (tptp.aa_nat_rat (tptp.power_power_rat B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)))))))
% 16.06/16.26 (assume a2970 (forall ((B tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) tptp.one_one_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)))))))
% 16.06/16.26 (assume a2971 (forall ((B tptp.int) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) tptp.one_one_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int B) M2)) (tptp.aa_nat_int (tptp.power_power_int B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)))))))
% 16.06/16.26 (assume a2972 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (= A tptp.zero_zero_real)))))
% 16.06/16.26 (assume a2973 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (= A tptp.zero_zero_rat)))))
% 16.06/16.26 (assume a2974 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (= A tptp.zero_zero_int)))))
% 16.06/16.26 (assume a2975 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_rat) (and (= X3 tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))
% 16.06/16.26 (assume a2976 (forall ((X3 tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real) (and (= X3 tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 16.06/16.26 (assume a2977 (forall ((X3 tptp.int) (Y tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int) (and (= X3 tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 16.06/16.26 (assume a2978 (= tptp.bot_bot_nat tptp.zero_zero_nat))
% 16.06/16.26 (assume a2979 (forall ((X3 tptp.literal)) (= (= tptp.zero_zero_literal X3) (= X3 tptp.zero_zero_literal))))
% 16.06/16.26 (assume a2980 (forall ((X3 tptp.real)) (= (= tptp.zero_zero_real X3) (= X3 tptp.zero_zero_real))))
% 16.06/16.26 (assume a2981 (forall ((X3 tptp.rat)) (= (= tptp.zero_zero_rat X3) (= X3 tptp.zero_zero_rat))))
% 16.06/16.26 (assume a2982 (forall ((X3 tptp.nat)) (= (= tptp.zero_zero_nat X3) (= X3 tptp.zero_zero_nat))))
% 16.06/16.26 (assume a2983 (forall ((X3 tptp.int)) (= (= tptp.zero_zero_int X3) (= X3 tptp.zero_zero_int))))
% 16.06/16.26 (assume a2984 (= tptp.sup_sup_nat tptp.ord_max_nat))
% 16.06/16.26 (assume a2985 (forall ((C tptp.rat) (A tptp.rat) (D tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat D) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat C) D)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B)))))))
% 16.06/16.26 (assume a2986 (forall ((C tptp.num) (A tptp.num) (D tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num D) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num C) D)) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B)))))))
% 16.06/16.26 (assume a2987 (forall ((C tptp.nat) (A tptp.nat) (D tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat D) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat C) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)))))))
% 16.06/16.26 (assume a2988 (forall ((C tptp.int) (A tptp.int) (D tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int D) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int C) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)))))))
% 16.06/16.26 (assume a2989 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B)))))
% 16.06/16.26 (assume a2990 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (= A (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B)))))
% 16.06/16.26 (assume a2991 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)))))
% 16.06/16.26 (assume a2992 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)))))
% 16.06/16.26 (assume a2993 (forall ((A tptp.rat) (B tptp.rat)) (=> (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))
% 16.06/16.26 (assume a2994 (forall ((A tptp.num) (B tptp.num)) (=> (= A (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)))))
% 16.06/16.26 (assume a2995 (forall ((A tptp.nat) (B tptp.nat)) (=> (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)))))
% 16.06/16.26 (assume a2996 (forall ((A tptp.int) (B tptp.int)) (=> (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)))))
% 16.06/16.26 (assume a2997 (forall ((B tptp.rat) (C tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat B) C)) A)) (not (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A))))))))
% 16.06/16.26 (assume a2998 (forall ((B tptp.num) (C tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num B) C)) A)) (not (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A))))))))
% 16.06/16.26 (assume a2999 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat B) C)) A)) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A))))))))
% 16.06/16.26 (assume a3000 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int B) C)) A)) (not (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A))))))))
% 16.06/16.26 (assume a3001 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat B) C)) A))))))
% 16.06/16.26 (assume a3002 (forall ((B tptp.num) (A tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num B) C)) A))))))
% 16.06/16.26 (assume a3003 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat B) C)) A))))))
% 16.06/16.26 (assume a3004 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int B) C)) A))))))
% 16.06/16.26 (assume a3005 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B)))))
% 16.06/16.26 (assume a3006 (forall ((B tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (= A (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B)))))
% 16.06/16.26 (assume a3007 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)))))
% 16.06/16.26 (assume a3008 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)))))
% 16.06/16.26 (assume a3009 (forall ((A tptp.rat) (B tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B)))))
% 16.06/16.26 (assume a3010 (forall ((A tptp.num) (B tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B)))))
% 16.06/16.26 (assume a3011 (forall ((A tptp.nat) (B tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)))))
% 16.06/16.26 (assume a3012 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)))))
% 16.06/16.26 (assume a3013 (forall ((B tptp.rat) (A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B)))))
% 16.06/16.26 (assume a3014 (forall ((B tptp.num) (A tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B)))))
% 16.06/16.26 (assume a3015 (forall ((B tptp.nat) (A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B)))))
% 16.06/16.26 (assume a3016 (forall ((B tptp.int) (A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B)))))
% 16.06/16.26 (assume a3017 (forall ((Z tptp.rat) (X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat X3) Y))) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) Y))))))
% 16.06/16.26 (assume a3018 (forall ((Z tptp.num) (X3 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num X3) Y))) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) X3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) Y))))))
% 16.06/16.26 (assume a3019 (forall ((Z tptp.nat) (X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X3) Y))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) Y))))))
% 16.06/16.26 (assume a3020 (forall ((Z tptp.int) (X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X3) Y))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) X3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) Y))))))
% 16.06/16.26 (assume a3021 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B) A))))
% 16.06/16.26 (assume a3022 (forall ((B tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B) A))))
% 16.06/16.26 (assume a3023 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) A))))
% 16.06/16.26 (assume a3024 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) A))))
% 16.06/16.26 (assume a3025 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B) B))))
% 16.06/16.26 (assume a3026 (forall ((A tptp.num) (B tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B) B))))
% 16.06/16.26 (assume a3027 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) B))))
% 16.06/16.26 (assume a3028 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) B))))
% 16.06/16.26 (assume a3029 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B))))))
% 16.06/16.26 (assume a3030 (forall ((C tptp.num) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B))))))
% 16.06/16.26 (assume a3031 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B))))))
% 16.06/16.26 (assume a3032 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B))))))
% 16.06/16.26 (assume a3033 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B))))))
% 16.06/16.26 (assume a3034 (forall ((C tptp.num) (B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) B)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B))))))
% 16.06/16.26 (assume a3035 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B))))))
% 16.06/16.26 (assume a3036 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B))))))
% 16.06/16.26 (assume a3037 (forall ((A tptp.set_nat) (B tptp.set_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.ord_max_set_nat A) B) B)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.ord_max_set_nat A) B) A)))))
% 16.06/16.26 (assume a3038 (forall ((A tptp.rat) (B tptp.rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B) B)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat A) B) A)))))
% 16.06/16.26 (assume a3039 (forall ((A tptp.num) (B tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B) B)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num A) B) A)))))
% 16.06/16.26 (assume a3040 (forall ((A tptp.nat) (B tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) B)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B) A)))))
% 16.06/16.26 (assume a3041 (forall ((A tptp.int) (B tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) B)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int A) B) A)))))
% 16.06/16.26 (assume a3042 (forall ((Y tptp.set_nat) (X3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X3)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.ord_max_set_nat X3) Y) X3))))
% 16.06/16.26 (assume a3043 (forall ((Y tptp.rat) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat X3) Y) X3))))
% 16.06/16.26 (assume a3044 (forall ((Y tptp.num) (X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X3)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num X3) Y) X3))))
% 16.06/16.26 (assume a3045 (forall ((Y tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X3) Y) X3))))
% 16.06/16.26 (assume a3046 (forall ((Y tptp.int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X3) Y) X3))))
% 16.06/16.26 (assume a3047 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.ord_max_set_nat X3) Y) Y))))
% 16.06/16.26 (assume a3048 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat X3) Y) Y))))
% 16.06/16.26 (assume a3049 (forall ((X3 tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num X3) Y) Y))))
% 16.06/16.26 (assume a3050 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X3) Y) Y))))
% 16.06/16.26 (assume a3051 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X3) Y) Y))))
% 16.06/16.26 (assume a3052 (forall ((X3 tptp.real) (Y tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.ord_max_real X3) Y)) Z) (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_real_real (tptp.plus_plus_real X3) Z)) (tptp.aa_real_real (tptp.plus_plus_real Y) Z)))))
% 16.06/16.26 (assume a3053 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat X3) Y)) Z) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Y) Z)))))
% 16.06/16.26 (assume a3054 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X3) Y)) Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X3) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Y) Z)))))
% 16.06/16.26 (assume a3055 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X3) Y)) Z) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Y) Z)))))
% 16.06/16.26 (assume a3056 (forall ((X3 tptp.real) (Y tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.ord_max_real Y) Z)) (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) (tptp.aa_real_real (tptp.plus_plus_real X3) Z)))))
% 16.06/16.26 (assume a3057 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat Y) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) Z)))))
% 16.06/16.26 (assume a3058 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Y) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X3) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X3) Z)))))
% 16.06/16.26 (assume a3059 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int Y) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) Z)))))
% 16.06/16.26 (assume a3060 (forall ((X3 tptp.real) (Y tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.ord_max_real X3) Y)) Z) (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_real_real (tptp.minus_minus_real X3) Z)) (tptp.aa_real_real (tptp.minus_minus_real Y) Z)))))
% 16.06/16.26 (assume a3061 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat X3) Y)) Z) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat Y) Z)))))
% 16.06/16.26 (assume a3062 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X3) Y)) Z) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Y) Z)))))
% 16.06/16.26 (assume a3063 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) N) tptp.one_one_rat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) N) tptp.zero_zero_rat)))))
% 16.06/16.26 (assume a3064 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) N) tptp.one_one_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a3065 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) N) tptp.one_one_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) N) tptp.zero_zero_real)))))
% 16.06/16.26 (assume a3066 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) N) tptp.one_one_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) N) tptp.zero_zero_int)))))
% 16.06/16.26 (assume a3067 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) N) tptp.one_one_complex)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) N) tptp.zero_zero_complex)))))
% 16.06/16.26 (assume a3068 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) N) tptp.zero_zero_rat))))
% 16.06/16.26 (assume a3069 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat))))
% 16.06/16.26 (assume a3070 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) N) tptp.zero_zero_real))))
% 16.06/16.26 (assume a3071 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) N) tptp.zero_zero_int))))
% 16.06/16.26 (assume a3072 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) N) tptp.zero_zero_complex))))
% 16.06/16.26 (assume a3073 (forall ((M2 tptp.nat) (N tptp.nat) (Q3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat M2) N)) Q3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) Q3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) Q3)))))
% 16.06/16.26 (assume a3074 (forall ((M2 tptp.nat) (N tptp.nat) (Q3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat N) Q3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) Q3)))))
% 16.06/16.26 (assume a3075 (forall ((M2 tptp.nat) (N tptp.nat) (Q3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat N) Q3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) Q3)))))
% 16.06/16.26 (assume a3076 (forall ((M2 tptp.nat) (N tptp.nat) (Q3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat M2) N)) Q3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) Q3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q3)))))
% 16.06/16.26 (assume a3077 (forall ((X3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X3))))
% 16.06/16.26 (assume a3078 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.zero_zero_real)))
% 16.06/16.26 (assume a3079 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) tptp.zero_zero_rat)))
% 16.06/16.26 (assume a3080 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 16.06/16.26 (assume a3081 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) tptp.zero_zero_int)))
% 16.06/16.26 (assume a3082 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (not (= N tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a3083 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (not (= N tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a3084 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a3085 (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.26 (assume a3086 (forall ((N tptp.num)) (not (= tptp.zero_zero_complex (tptp.numera6690914467698888265omplex N)))))
% 16.06/16.26 (assume a3087 (forall ((N tptp.num)) (not (= tptp.zero_zero_real (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 16.06/16.26 (assume a3088 (forall ((N tptp.num)) (not (= tptp.zero_zero_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 16.06/16.26 (assume a3089 (forall ((N tptp.num)) (not (= tptp.zero_zero_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 16.06/16.26 (assume a3090 (forall ((N tptp.num)) (not (= tptp.zero_zero_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.26 (assume a3091 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 16.06/16.26 (assume a3092 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.zero_zero_rat) A) A)))
% 16.06/16.26 (assume a3093 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) A) A)))
% 16.06/16.26 (assume a3094 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 16.06/16.26 (assume a3095 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 16.06/16.26 (assume a3096 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.zero_zero_rat) A)))
% 16.06/16.26 (assume a3097 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 16.06/16.26 (assume a3098 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 16.06/16.26 (assume a3099 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 16.06/16.26 (assume a3100 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.zero_zero_rat) A) A)))
% 16.06/16.26 (assume a3101 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 16.06/16.26 (assume a3102 (forall ((A tptp.real) (B tptp.real)) (= (= A B) (= (tptp.aa_real_real (tptp.minus_minus_real A) B) tptp.zero_zero_real))))
% 16.06/16.26 (assume a3103 (forall ((A tptp.rat) (B tptp.rat)) (= (= A B) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B) tptp.zero_zero_rat))))
% 16.06/16.26 (assume a3104 (forall ((A tptp.int) (B tptp.int)) (= (= A B) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) tptp.zero_zero_int))))
% 16.06/16.26 (assume a3105 (forall ((A tptp.rat) (N tptp.nat)) (=> (not (= A tptp.zero_zero_rat)) (not (= (tptp.aa_nat_rat (tptp.power_power_rat A) N) tptp.zero_zero_rat)))))
% 16.06/16.26 (assume a3106 (forall ((A tptp.nat) (N tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N) tptp.zero_zero_nat)))))
% 16.06/16.26 (assume a3107 (forall ((A tptp.real) (N tptp.nat)) (=> (not (= A tptp.zero_zero_real)) (not (= (tptp.aa_nat_real (tptp.power_power_real A) N) tptp.zero_zero_real)))))
% 16.06/16.26 (assume a3108 (forall ((A tptp.int) (N tptp.nat)) (=> (not (= A tptp.zero_zero_int)) (not (= (tptp.aa_nat_int (tptp.power_power_int A) N) tptp.zero_zero_int)))))
% 16.06/16.26 (assume a3109 (forall ((A tptp.complex) (N tptp.nat)) (=> (not (= A tptp.zero_zero_complex)) (not (= (tptp.aa_nat_complex (tptp.power_power_complex A) N) tptp.zero_zero_complex)))))
% 16.06/16.26 (assume a3110 (= (tptp.aa_num_nat tptp.size_size_num tptp.one) tptp.zero_zero_nat))
% 16.06/16.26 (assume a3111 (forall ((X3 tptp.nat)) (=> (not (= X3 tptp.zero_zero_nat)) (=> (not (= X3 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (not (forall ((Va3 tptp.nat)) (not (= X3 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))))))))))
% 16.06/16.27 (assume a3112 (forall ((X3 tptp.nat)) (=> (not (= X3 tptp.zero_zero_nat)) (not (forall ((N2 tptp.nat)) (not (= X3 (tptp.aa_nat_nat tptp.suc N2))))))))
% 16.06/16.27 (assume a3113 (forall ((X2 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc X2)))))
% 16.06/16.27 (assume a3114 (forall ((Nat2 tptp.nat)) (not (= (tptp.aa_nat_nat tptp.suc Nat2) tptp.zero_zero_nat))))
% 16.06/16.27 (assume a3115 (forall ((Nat2 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc Nat2)))))
% 16.06/16.27 (assume a3116 (forall ((Nat tptp.nat) (X2 tptp.nat)) (=> (= Nat (tptp.aa_nat_nat tptp.suc X2)) (not (= Nat tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3117 (forall ((Y tptp.nat)) (=> (not (= Y tptp.zero_zero_nat)) (not (forall ((Nat3 tptp.nat)) (not (= Y (tptp.aa_nat_nat tptp.suc Nat3))))))))
% 16.06/16.27 (assume a3118 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2))))) (tptp.pp (tptp.aa_nat_bool P N))))))
% 16.06/16.27 (assume a3119 (forall ((P tptp.fun_nat_fun_nat_bool) (M2 tptp.nat) (N tptp.nat)) (=> (forall ((X5 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P X5) tptp.zero_zero_nat))) (=> (forall ((Y3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc Y3)))) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P X5) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P (tptp.aa_nat_nat tptp.suc X5)) (tptp.aa_nat_nat tptp.suc Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M2) N)))))))
% 16.06/16.27 (assume a3120 (forall ((P tptp.fun_nat_bool) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K2)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2))) (tptp.pp (tptp.aa_nat_bool P N2)))) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))))))
% 16.06/16.27 (assume a3121 (forall ((M2 tptp.nat)) (not (= (tptp.aa_nat_nat tptp.suc M2) tptp.zero_zero_nat))))
% 16.06/16.27 (assume a3122 (forall ((M2 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc M2)))))
% 16.06/16.27 (assume a3123 (forall ((M2 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc M2)))))
% 16.06/16.27 (assume a3124 (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (exists ((M tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc M))))))
% 16.06/16.27 (assume a3125 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)) (=> (not (tptp.pp (tptp.aa_nat_bool P N2))) (exists ((M3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N2)) (not (tptp.pp (tptp.aa_nat_bool P M3)))))))) (tptp.pp (tptp.aa_nat_bool P N))))))
% 16.06/16.27 (assume a3126 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (not (= N tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3127 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3128 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3129 (forall ((N tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))) (= N tptp.zero_zero_nat))))
% 16.06/16.27 (assume a3130 (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.27 (assume a3131 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3132 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))))
% 16.06/16.27 (assume a3133 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (= A tptp.zero_zero_nat))))
% 16.06/16.27 (assume a3134 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (= A tptp.zero_zero_nat))))
% 16.06/16.27 (assume a3135 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) tptp.zero_zero_nat)) (= N tptp.zero_zero_nat))))
% 16.06/16.27 (assume a3136 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) N) N)))
% 16.06/16.27 (assume a3137 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N) M2) (= N tptp.zero_zero_nat))))
% 16.06/16.27 (assume a3138 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N) tptp.zero_zero_nat) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2) tptp.zero_zero_nat) (= M2 N)))))
% 16.06/16.27 (assume a3139 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) tptp.zero_zero_nat) M2)))
% 16.06/16.27 (assume a3140 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)))
% 16.06/16.27 (assume a3141 (forall ((N tptp.nat) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (= (= (tptp.aa_nat_real (tptp.power_power_real A) N) (tptp.aa_nat_real (tptp.power_power_real B) N)) (= A B)))))))
% 16.06/16.27 (assume a3142 (forall ((N tptp.nat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat A) N) (tptp.aa_nat_rat (tptp.power_power_rat B) N)) (= A B)))))))
% 16.06/16.27 (assume a3143 (forall ((N tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N)) (= A B)))))))
% 16.06/16.27 (assume a3144 (forall ((N tptp.nat) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (= (= (tptp.aa_nat_int (tptp.power_power_int A) N) (tptp.aa_nat_int (tptp.power_power_int B) N)) (= A B)))))))
% 16.06/16.27 (assume a3145 (forall ((A tptp.real) (N tptp.nat) (B tptp.real)) (=> (= (tptp.aa_nat_real (tptp.power_power_real A) N) (tptp.aa_nat_real (tptp.power_power_real B) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B)))))))
% 16.06/16.27 (assume a3146 (forall ((A tptp.rat) (N tptp.nat) (B tptp.rat)) (=> (= (tptp.aa_nat_rat (tptp.power_power_rat A) N) (tptp.aa_nat_rat (tptp.power_power_rat B) N)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B)))))))
% 16.06/16.27 (assume a3147 (forall ((A tptp.nat) (N tptp.nat) (B tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B)))))))
% 16.06/16.27 (assume a3148 (forall ((A tptp.int) (N tptp.nat) (B tptp.int)) (=> (= (tptp.aa_nat_int (tptp.power_power_int A) N) (tptp.aa_nat_int (tptp.power_power_int B) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B)))))))
% 16.06/16.27 (assume a3149 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)) M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat N) M2))))
% 16.06/16.27 (assume a3150 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N))))))))
% 16.06/16.27 (assume a3151 (forall ((A tptp.rat) (B tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B) N))))))))
% 16.06/16.27 (assume a3152 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N))))))))
% 16.06/16.27 (assume a3153 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B) N))))))))
% 16.06/16.27 (assume a3154 (forall ((N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 16.06/16.27 (assume a3155 (forall ((N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 16.06/16.27 (assume a3156 (forall ((N tptp.num)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 16.06/16.27 (assume a3157 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.27 (assume a3158 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3159 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3160 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3161 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3162 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.times_times_real C) B)))))))
% 16.06/16.27 (assume a3163 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B)))))))
% 16.06/16.27 (assume a3164 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B)))))))
% 16.06/16.27 (assume a3165 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B)))))))
% 16.06/16.27 (assume a3166 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.times_times_real A) B))) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real)))))))
% 16.06/16.27 (assume a3167 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B))) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat)))))))
% 16.06/16.27 (assume a3168 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B))) (or (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.zero_zero_int)))))))
% 16.06/16.27 (assume a3169 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real B) A)) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3170 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) A)) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3171 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) A)) tptp.zero_zero_nat))))))
% 16.06/16.27 (assume a3172 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) A)) tptp.zero_zero_int))))))
% 16.06/16.27 (assume a3173 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) B)) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3174 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3175 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B)) tptp.zero_zero_nat))))))
% 16.06/16.27 (assume a3176 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) tptp.zero_zero_int))))))
% 16.06/16.27 (assume a3177 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) B)) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3178 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3179 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B)) tptp.zero_zero_nat))))))
% 16.06/16.27 (assume a3180 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) tptp.zero_zero_int))))))
% 16.06/16.27 (assume a3181 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.times_times_real A) B)))))))
% 16.06/16.27 (assume a3182 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)))))))
% 16.06/16.27 (assume a3183 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B)))))))
% 16.06/16.27 (assume a3184 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)))))))
% 16.06/16.27 (assume a3185 (forall ((A tptp.real) (B tptp.real)) (=> (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) B)) tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3186 (forall ((A tptp.rat) (B tptp.rat)) (=> (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)) tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3187 (forall ((A tptp.nat) (B tptp.nat)) (=> (or (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) tptp.zero_zero_nat))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B)) tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3188 (forall ((A tptp.int) (B tptp.int)) (=> (or (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.zero_zero_int))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3189 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) B)) tptp.zero_zero_real)) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)))))))
% 16.06/16.27 (assume a3190 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)) tptp.zero_zero_rat)) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)))))))
% 16.06/16.27 (assume a3191 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) tptp.zero_zero_int)) (or (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.zero_zero_int))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)))))))
% 16.06/16.27 (assume a3192 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) C)))))))
% 16.06/16.27 (assume a3193 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C)))))))
% 16.06/16.27 (assume a3194 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C)))))))
% 16.06/16.27 (assume a3195 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)))))))
% 16.06/16.27 (assume a3196 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) C)))))))
% 16.06/16.27 (assume a3197 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C)))))))
% 16.06/16.27 (assume a3198 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)))))))
% 16.06/16.27 (assume a3199 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.times_times_real C) B)))))))
% 16.06/16.27 (assume a3200 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B)))))))
% 16.06/16.27 (assume a3201 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B)))))))
% 16.06/16.27 (assume a3202 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B)))))))
% 16.06/16.27 (assume a3203 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.times_times_real A) B)))))))
% 16.06/16.27 (assume a3204 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)))))))
% 16.06/16.27 (assume a3205 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)))))))
% 16.06/16.27 (assume a3206 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.times_times_real C) B)))))))
% 16.06/16.27 (assume a3207 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B)))))))
% 16.06/16.27 (assume a3208 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B)))))))
% 16.06/16.27 (assume a3209 (forall ((A tptp.real) (B tptp.real)) (=> (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.times_times_real A) B))))))
% 16.06/16.27 (assume a3210 (forall ((A tptp.rat) (B tptp.rat)) (=> (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B))))))
% 16.06/16.27 (assume a3211 (forall ((A tptp.int) (B tptp.int)) (=> (or (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.zero_zero_int)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B))))))
% 16.06/16.27 (assume a3212 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.times_times_real A) A)))))
% 16.06/16.27 (assume a3213 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) A)))))
% 16.06/16.27 (assume a3214 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) A)))))
% 16.06/16.27 (assume a3215 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) D)))))))))
% 16.06/16.27 (assume a3216 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) D)))))))))
% 16.06/16.27 (assume a3217 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) D)))))))))
% 16.06/16.27 (assume a3218 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) D)))))))))
% 16.06/16.27 (assume a3219 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) D)))))))))
% 16.06/16.27 (assume a3220 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) D)))))))))
% 16.06/16.27 (assume a3221 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) D)))))))))
% 16.06/16.27 (assume a3222 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) D)))))))))
% 16.06/16.27 (assume a3223 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3224 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3225 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3226 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3227 (forall ((N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 16.06/16.27 (assume a3228 (forall ((N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 16.06/16.27 (assume a3229 (forall ((N tptp.num)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 16.06/16.27 (assume a3230 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.27 (assume a3231 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) B))))))
% 16.06/16.27 (assume a3232 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) B))))))
% 16.06/16.27 (assume a3233 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) B))))))
% 16.06/16.27 (assume a3234 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) B))))))
% 16.06/16.27 (assume a3235 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.plus_plus_real A) C)))))))
% 16.06/16.27 (assume a3236 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)))))))
% 16.06/16.27 (assume a3237 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 16.06/16.27 (assume a3238 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 16.06/16.27 (assume a3239 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) B))))))
% 16.06/16.27 (assume a3240 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) B))))))
% 16.06/16.27 (assume a3241 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) B))))))
% 16.06/16.27 (assume a3242 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) B))))))
% 16.06/16.27 (assume a3243 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.plus_plus_real A) C)))))))
% 16.06/16.27 (assume a3244 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)))))))
% 16.06/16.27 (assume a3245 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 16.06/16.27 (assume a3246 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 16.06/16.27 (assume a3247 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real A) B)))))))
% 16.06/16.27 (assume a3248 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)))))))
% 16.06/16.27 (assume a3249 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)))))))
% 16.06/16.27 (assume a3250 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))))))
% 16.06/16.27 (assume a3251 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3252 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3253 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) tptp.zero_zero_nat))))))
% 16.06/16.27 (assume a3254 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) tptp.zero_zero_int))))))
% 16.06/16.27 (assume a3255 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (= (tptp.aa_real_real (tptp.plus_plus_real X3) Y) tptp.zero_zero_real) (and (= X3 tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))))
% 16.06/16.27 (assume a3256 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) Y) tptp.zero_zero_rat) (and (= X3 tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))))
% 16.06/16.27 (assume a3257 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X3) Y) tptp.zero_zero_nat) (and (= X3 tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))))
% 16.06/16.27 (assume a3258 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) Y) tptp.zero_zero_int) (and (= X3 tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))))
% 16.06/16.27 (assume a3259 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real X3) Y) tptp.zero_zero_real) (and (= X3 tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))))
% 16.06/16.27 (assume a3260 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) Y) tptp.zero_zero_rat) (and (= X3 tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))))
% 16.06/16.27 (assume a3261 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) tptp.zero_zero_nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X3) Y) tptp.zero_zero_nat) (and (= X3 tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))))
% 16.06/16.27 (assume a3262 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) tptp.zero_zero_int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) Y) tptp.zero_zero_int) (and (= X3 tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))))
% 16.06/16.27 (assume a3263 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.one_one_real)))
% 16.06/16.27 (assume a3264 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) tptp.one_one_rat)))
% 16.06/16.27 (assume a3265 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) tptp.one_one_nat)))
% 16.06/16.27 (assume a3266 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) tptp.one_one_int)))
% 16.06/16.27 (assume a3267 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.one_one_real)))
% 16.06/16.27 (assume a3268 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) tptp.one_one_rat)))
% 16.06/16.27 (assume a3269 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) tptp.one_one_nat)))
% 16.06/16.27 (assume a3270 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) tptp.one_one_int)))
% 16.06/16.27 (assume a3271 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) tptp.zero_zero_real))))
% 16.06/16.27 (assume a3272 (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) tptp.zero_zero_rat))))
% 16.06/16.27 (assume a3273 (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) tptp.zero_zero_nat))))
% 16.06/16.27 (assume a3274 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) tptp.zero_zero_int))))
% 16.06/16.27 (assume a3275 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.plus_plus_real A) C)))))))
% 16.06/16.27 (assume a3276 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)))))))
% 16.06/16.27 (assume a3277 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 16.06/16.27 (assume a3278 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 16.06/16.27 (assume a3279 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (not (forall ((C5 tptp.nat)) (=> (= B (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C5)) (= C5 tptp.zero_zero_nat)))))))
% 16.06/16.27 (assume a3280 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real A) B)))))))
% 16.06/16.27 (assume a3281 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)))))))
% 16.06/16.27 (assume a3282 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)))))))
% 16.06/16.27 (assume a3283 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))))))
% 16.06/16.27 (assume a3284 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3285 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3286 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) tptp.zero_zero_nat))))))
% 16.06/16.27 (assume a3287 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) tptp.zero_zero_int))))))
% 16.06/16.27 (assume a3288 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) tptp.zero_zero_real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3289 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) Y)) tptp.zero_zero_rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3290 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) Y)) tptp.zero_zero_int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) tptp.zero_zero_int))))))
% 16.06/16.27 (assume a3291 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3292 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3293 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3294 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3295 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3296 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3297 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N)))))))
% 16.06/16.27 (assume a3298 (forall ((A tptp.rat) (B tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B) N)))))))
% 16.06/16.27 (assume a3299 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N)))))))
% 16.06/16.27 (assume a3300 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B) N)))))))
% 16.06/16.27 (assume a3301 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real A) N))))))
% 16.06/16.27 (assume a3302 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))
% 16.06/16.27 (assume a3303 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))
% 16.06/16.27 (assume a3304 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 16.06/16.27 (assume a3305 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real A) N))))))
% 16.06/16.27 (assume a3306 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))
% 16.06/16.27 (assume a3307 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))
% 16.06/16.27 (assume a3308 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 16.06/16.27 (assume a3309 (forall ((X3 tptp.complex) (Xs tptp.list_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) (tptp.set_complex2 Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_s3451745648224563538omplex Xs))))))
% 16.06/16.27 (assume a3310 (forall ((X3 tptp.real) (Xs tptp.list_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) (tptp.set_real2 Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_size_list_real Xs))))))
% 16.06/16.27 (assume a3311 (forall ((X3 tptp.vEBT_VEBT) (Xs tptp.list_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_s6755466524823107622T_VEBT Xs))))))
% 16.06/16.27 (assume a3312 (forall ((X3 tptp.bool) (Xs tptp.list_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) (tptp.set_bool2 Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_size_list_bool Xs))))))
% 16.06/16.27 (assume a3313 (forall ((X3 tptp.nat) (Xs tptp.list_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_size_list_nat Xs))))))
% 16.06/16.27 (assume a3314 (forall ((X3 tptp.int) (Xs tptp.list_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_size_list_int Xs))))))
% 16.06/16.27 (assume a3315 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) tptp.zero_zero_nat) tptp.one_one_rat)))
% 16.06/16.27 (assume a3316 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) tptp.zero_zero_nat) tptp.one_one_nat)))
% 16.06/16.27 (assume a3317 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 16.06/16.27 (assume a3318 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 16.06/16.27 (assume a3319 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 16.06/16.27 (assume a3320 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat tptp.suc N))) (or (= M2 tptp.zero_zero_nat) (exists ((J3 tptp.nat)) (and (= M2 (tptp.aa_nat_nat tptp.suc J3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J3) N))))))))
% 16.06/16.27 (assume a3321 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((M tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc M))))))
% 16.06/16.27 (assume a3322 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool P I4)))) (and (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) N)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc I4)))))))))
% 16.06/16.27 (assume a3323 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((M5 tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc M5))))))
% 16.06/16.27 (assume a3324 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool P I4)))) (or (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (exists ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) N)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc I4)))))))))
% 16.06/16.27 (assume a3325 (forall ((M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (or (and (= M2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (= N tptp.zero_zero_nat)) (and (= M2 tptp.zero_zero_nat) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 16.06/16.27 (assume a3326 (forall ((M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (or (and (= M2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (= N tptp.zero_zero_nat)) (and (= M2 tptp.zero_zero_nat) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 16.06/16.27 (assume a3327 (forall ((X2 tptp.product_prod_nat_nat)) (= (tptp.size_s170228958280169651at_nat (tptp.some_P7363390416028606310at_nat X2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.06/16.27 (assume a3328 (forall ((X2 tptp.nat)) (= (tptp.size_size_option_nat (tptp.some_nat X2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.06/16.27 (assume a3329 (forall ((X2 tptp.num)) (= (tptp.size_size_option_num (tptp.some_num X2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.06/16.27 (assume a3330 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (exists ((K tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) K)) (not (tptp.pp (tptp.aa_nat_bool P I2))))) (tptp.pp (tptp.aa_nat_bool P K))))))))
% 16.06/16.27 (assume a3331 (= (tptp.size_size_option_nat tptp.none_nat) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 16.06/16.27 (assume a3332 (= (tptp.size_s170228958280169651at_nat tptp.none_P5556105721700978146at_nat) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 16.06/16.27 (assume a3333 (= (tptp.size_size_option_num tptp.none_num) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 16.06/16.27 (assume a3334 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (exists ((K tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K) J))))))
% 16.06/16.27 (assume a3335 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) M2))))))
% 16.06/16.27 (assume a3336 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) J)))))))
% 16.06/16.27 (assume a3337 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) K2)))))))
% 16.06/16.27 (assume a3338 (= tptp.one_one_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 16.06/16.27 (assume a3339 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) tptp.zero_zero_nat)))
% 16.06/16.27 (assume a3340 (forall ((I tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) I)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat I) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat I) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))))))
% 16.06/16.27 (assume a3341 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (= M2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (or (= N tptp.one_one_nat) (= M2 tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3342 (forall ((V2 tptp.product_prod_nat_nat) (Uy tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT) (X3 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Uy Uz)) X3)))))
% 16.06/16.27 (assume a3343 (forall ((Info tptp.option4927543243414619207at_nat) (Ts tptp.list_VEBT_VEBT) (S tptp.vEBT_VEBT) (X3 tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node Info tptp.zero_zero_nat Ts S) X3) (tptp.vEBT_Node Info tptp.zero_zero_nat Ts S))))
% 16.06/16.27 (assume a3344 (forall ((Uu2 tptp.option4927543243414619207at_nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT) (Ux tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.vEBT_Node Uu2 tptp.zero_zero_nat Uv2 Uw2)) Ux)))))
% 16.06/16.27 (assume a3345 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.times_times_real C) B))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)))))))
% 16.06/16.27 (assume a3346 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))))
% 16.06/16.27 (assume a3347 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)))))))
% 16.06/16.27 (assume a3348 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)))))))
% 16.06/16.27 (assume a3349 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))))
% 16.06/16.27 (assume a3350 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)))))))
% 16.06/16.27 (assume a3351 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.times_times_real C) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 16.06/16.27 (assume a3352 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 16.06/16.27 (assume a3353 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))))))
% 16.06/16.27 (assume a3354 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))))))
% 16.06/16.27 (assume a3355 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) D)))))))))
% 16.06/16.27 (assume a3356 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) D)))))))))
% 16.06/16.27 (assume a3357 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) D)))))))))
% 16.06/16.27 (assume a3358 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) D)))))))))
% 16.06/16.27 (assume a3359 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.times_times_real C) B))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)))))))
% 16.06/16.27 (assume a3360 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)))))))
% 16.06/16.27 (assume a3361 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)))))))
% 16.06/16.27 (assume a3362 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) C))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 16.06/16.27 (assume a3363 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 16.06/16.27 (assume a3364 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))))))
% 16.06/16.27 (assume a3365 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))))))
% 16.06/16.27 (assume a3366 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) D)))))))))
% 16.06/16.27 (assume a3367 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) D)))))))))
% 16.06/16.27 (assume a3368 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) D)))))))))
% 16.06/16.27 (assume a3369 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) D)))))))))
% 16.06/16.27 (assume a3370 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)))))))
% 16.06/16.27 (assume a3371 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)))))))
% 16.06/16.27 (assume a3372 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)))))))
% 16.06/16.27 (assume a3373 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.times_times_real C) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A))))))
% 16.06/16.27 (assume a3374 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A))))))
% 16.06/16.27 (assume a3375 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A))))))
% 16.06/16.27 (assume a3376 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.times_times_real C) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 16.06/16.27 (assume a3377 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 16.06/16.27 (assume a3378 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 16.06/16.27 (assume a3379 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.times_times_real C) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 16.06/16.27 (assume a3380 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 16.06/16.27 (assume a3381 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))))))
% 16.06/16.27 (assume a3382 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 16.06/16.27 (assume a3383 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) C))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 16.06/16.27 (assume a3384 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 16.06/16.27 (assume a3385 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))))))
% 16.06/16.27 (assume a3386 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 16.06/16.27 (assume a3387 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) D)))))))))
% 16.06/16.27 (assume a3388 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) D)))))))))
% 16.06/16.27 (assume a3389 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) D)))))))))
% 16.06/16.27 (assume a3390 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) D)))))))))
% 16.06/16.27 (assume a3391 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) D)))))))))
% 16.06/16.27 (assume a3392 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) D)))))))))
% 16.06/16.27 (assume a3393 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) D)))))))))
% 16.06/16.27 (assume a3394 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) D)))))))))
% 16.06/16.27 (assume a3395 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3396 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3397 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) tptp.zero_zero_nat))))))
% 16.06/16.27 (assume a3398 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) tptp.zero_zero_int))))))
% 16.06/16.27 (assume a3399 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real A) B)))))))
% 16.06/16.27 (assume a3400 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)))))))
% 16.06/16.27 (assume a3401 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)))))))
% 16.06/16.27 (assume a3402 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))))))
% 16.06/16.27 (assume a3403 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3404 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3405 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) tptp.zero_zero_nat))))))
% 16.06/16.27 (assume a3406 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) tptp.zero_zero_int))))))
% 16.06/16.27 (assume a3407 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real A) B)))))))
% 16.06/16.27 (assume a3408 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)))))))
% 16.06/16.27 (assume a3409 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)))))))
% 16.06/16.27 (assume a3410 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))))))
% 16.06/16.27 (assume a3411 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.plus_plus_real A) C)))))))
% 16.06/16.27 (assume a3412 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)))))))
% 16.06/16.27 (assume a3413 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 16.06/16.27 (assume a3414 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 16.06/16.27 (assume a3415 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.plus_plus_real A) C)))))))
% 16.06/16.27 (assume a3416 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)))))))
% 16.06/16.27 (assume a3417 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 16.06/16.27 (assume a3418 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 16.06/16.27 (assume a3419 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B) tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3420 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3421 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)))))))
% 16.06/16.27 (assume a3422 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B)))))))
% 16.06/16.27 (assume a3423 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real X3) X3)) (tptp.aa_real_real (tptp.times_times_real Y) Y))) tptp.zero_zero_real)) (and (= X3 tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3424 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Y))) tptp.zero_zero_rat)) (and (= X3 tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3425 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y))) tptp.zero_zero_int)) (and (= X3 tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3426 (forall ((X3 tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real X3) X3)) (tptp.aa_real_real (tptp.times_times_real Y) Y))))))
% 16.06/16.27 (assume a3427 (forall ((X3 tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Y))))))
% 16.06/16.27 (assume a3428 (forall ((X3 tptp.int) (Y tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y))))))
% 16.06/16.27 (assume a3429 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real Y) X3)) X3)))))))
% 16.06/16.27 (assume a3430 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) X3)) X3)))))))
% 16.06/16.27 (assume a3431 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) X3)) X3)))))))
% 16.06/16.27 (assume a3432 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real X3) Y)) X3)))))))
% 16.06/16.27 (assume a3433 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) Y)) X3)))))))
% 16.06/16.27 (assume a3434 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) Y)) X3)))))))
% 16.06/16.27 (assume a3435 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) B)) tptp.one_one_real)))))))
% 16.06/16.27 (assume a3436 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)) tptp.one_one_rat)))))))
% 16.06/16.27 (assume a3437 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.one_one_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B)) tptp.one_one_nat)))))))
% 16.06/16.27 (assume a3438 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) tptp.one_one_int)))))))
% 16.06/16.27 (assume a3439 (forall ((C tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) A))))))
% 16.06/16.27 (assume a3440 (forall ((C tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.one_one_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) A))))))
% 16.06/16.27 (assume a3441 (forall ((C tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) tptp.one_one_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) A))))))
% 16.06/16.27 (assume a3442 (forall ((C tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.one_one_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) A))))))
% 16.06/16.27 (assume a3443 (forall ((A tptp.real) (N tptp.nat) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B))))))
% 16.06/16.27 (assume a3444 (forall ((A tptp.rat) (N tptp.nat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B) N))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B))))))
% 16.06/16.27 (assume a3445 (forall ((A tptp.nat) (N tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B))))))
% 16.06/16.27 (assume a3446 (forall ((A tptp.int) (N tptp.nat) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B) N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B))))))
% 16.06/16.27 (assume a3447 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real X3) X3)) (tptp.aa_real_real (tptp.times_times_real Y) Y)))) (or (not (= X3 tptp.zero_zero_real)) (not (= Y tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3448 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Y)))) (or (not (= X3 tptp.zero_zero_rat)) (not (= Y tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3449 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y)))) (or (not (= X3 tptp.zero_zero_int)) (not (= Y tptp.zero_zero_int))))))
% 16.06/16.27 (assume a3450 (forall ((X3 tptp.real) (Y tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real X3) X3)) (tptp.aa_real_real (tptp.times_times_real Y) Y))) tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3451 (forall ((X3 tptp.rat) (Y tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Y))) tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3452 (forall ((X3 tptp.int) (Y tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y))) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3453 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)) C)))))
% 16.06/16.27 (assume a3454 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B)) C)))))
% 16.06/16.27 (assume a3455 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real))))
% 16.06/16.27 (assume a3456 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat))))
% 16.06/16.27 (assume a3457 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat))))
% 16.06/16.27 (assume a3458 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) tptp.one_one_int))))
% 16.06/16.27 (assume a3459 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) N)) tptp.one_one_real))))))
% 16.06/16.27 (assume a3460 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) tptp.one_one_rat))))))
% 16.06/16.27 (assume a3461 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) tptp.one_one_nat))))))
% 16.06/16.27 (assume a3462 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) tptp.one_one_int))))))
% 16.06/16.27 (assume a3463 (forall ((B tptp.complex) (C tptp.complex) (W tptp.num)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C) (tptp.numera6690914467698888265omplex W)) (and (=> (not (= C tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) C))) (=> (= C tptp.zero_zero_complex) (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex))))))
% 16.06/16.27 (assume a3464 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (= (tptp.aa_real_real (tptp.divide_divide_real B) C) (tptp.aa_num_real tptp.numeral_numeral_real W)) (and (=> (not (= C tptp.zero_zero_real)) (= B (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C))) (=> (= C tptp.zero_zero_real) (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3465 (forall ((B tptp.rat) (C tptp.rat) (W tptp.num)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C) (tptp.aa_num_rat tptp.numeral_numeral_rat W)) (and (=> (not (= C tptp.zero_zero_rat)) (= B (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C))) (=> (= C tptp.zero_zero_rat) (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3466 (forall ((W tptp.num) (B tptp.complex) (C tptp.complex)) (= (= (tptp.numera6690914467698888265omplex W) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)) (and (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) C) B)) (=> (= C tptp.zero_zero_complex) (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex))))))
% 16.06/16.27 (assume a3467 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (= (tptp.aa_num_real tptp.numeral_numeral_real W) (tptp.aa_real_real (tptp.divide_divide_real B) C)) (and (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C) B)) (=> (= C tptp.zero_zero_real) (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3468 (forall ((W tptp.num) (B tptp.rat) (C tptp.rat)) (= (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)) (and (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C) B)) (=> (= C tptp.zero_zero_rat) (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3469 (forall ((V2 tptp.product_prod_nat_nat) (Vb tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT) (X3 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb Vc)) X3)))))
% 16.06/16.27 (assume a3470 (forall ((A tptp.real) (N tptp.nat) (B tptp.real)) (=> (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_real (tptp.power_power_real B) (tptp.aa_nat_nat tptp.suc N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (= A B))))))
% 16.06/16.27 (assume a3471 (forall ((A tptp.rat) (N tptp.nat) (B tptp.rat)) (=> (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_rat (tptp.power_power_rat B) (tptp.aa_nat_nat tptp.suc N))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (= A B))))))
% 16.06/16.27 (assume a3472 (forall ((A tptp.nat) (N tptp.nat) (B tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) (tptp.aa_nat_nat tptp.suc N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (= A B))))))
% 16.06/16.27 (assume a3473 (forall ((A tptp.int) (N tptp.nat) (B tptp.int)) (=> (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_int (tptp.power_power_int B) (tptp.aa_nat_nat tptp.suc N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (= A B))))))
% 16.06/16.27 (assume a3474 (forall ((A tptp.real) (N tptp.nat) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real (tptp.power_power_real B) (tptp.aa_nat_nat tptp.suc N)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 16.06/16.27 (assume a3475 (forall ((A tptp.rat) (N tptp.nat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_rat (tptp.power_power_rat B) (tptp.aa_nat_nat tptp.suc N)))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 16.06/16.27 (assume a3476 (forall ((A tptp.nat) (N tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) (tptp.aa_nat_nat tptp.suc N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))))))
% 16.06/16.27 (assume a3477 (forall ((A tptp.int) (N tptp.nat) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_int (tptp.power_power_int B) (tptp.aa_nat_nat tptp.suc N)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 16.06/16.27 (assume a3478 (forall ((B tptp.nat) (A tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)) tptp.one_one_nat)))))
% 16.06/16.27 (assume a3479 (forall ((B tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B)) tptp.one_one_int)))))
% 16.06/16.27 (assume a3480 (forall ((B tptp.nat) (A tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)) tptp.one_one_nat)))))
% 16.06/16.27 (assume a3481 (forall ((B tptp.int) (A tptp.int)) (=> (not (= B tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B)) tptp.one_one_int)))))
% 16.06/16.27 (assume a3482 (forall ((Mi tptp.nat) (Ma tptp.nat) (TrLst tptp.list_VEBT_VEBT) (Smry tptp.vEBT_VEBT) (X3 tptp.nat)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) tptp.zero_zero_nat TrLst Smry) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) tptp.zero_zero_nat TrLst Smry))))
% 16.06/16.27 (assume a3483 (= (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 16.06/16.27 (assume a3484 (forall ((X2 tptp.num)) (= (tptp.aa_num_nat tptp.size_size_num (tptp.aa_num_num tptp.bit0 X2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.size_size_num X2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3485 (forall ((N tptp.nat)) (exists ((Xs2 tptp.list_VEBT_VEBT)) (= (tptp.size_s6755466524823107622T_VEBT Xs2) N))))
% 16.06/16.27 (assume a3486 (forall ((N tptp.nat)) (exists ((Xs2 tptp.list_bool)) (= (tptp.size_size_list_bool Xs2) N))))
% 16.06/16.27 (assume a3487 (forall ((N tptp.nat)) (exists ((Xs2 tptp.list_nat)) (= (tptp.size_size_list_nat Xs2) N))))
% 16.06/16.27 (assume a3488 (forall ((N tptp.nat)) (exists ((Xs2 tptp.list_int)) (= (tptp.size_size_list_int Xs2) N))))
% 16.06/16.27 (assume a3489 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (=> (not (= (tptp.size_s6755466524823107622T_VEBT Xs) (tptp.size_s6755466524823107622T_VEBT Ys))) (not (= Xs Ys)))))
% 16.06/16.27 (assume a3490 (forall ((Xs tptp.list_bool) (Ys tptp.list_bool)) (=> (not (= (tptp.size_size_list_bool Xs) (tptp.size_size_list_bool Ys))) (not (= Xs Ys)))))
% 16.06/16.27 (assume a3491 (forall ((Xs tptp.list_nat) (Ys tptp.list_nat)) (=> (not (= (tptp.size_size_list_nat Xs) (tptp.size_size_list_nat Ys))) (not (= Xs Ys)))))
% 16.06/16.27 (assume a3492 (forall ((Xs tptp.list_int) (Ys tptp.list_int)) (=> (not (= (tptp.size_size_list_int Xs) (tptp.size_size_list_int Ys))) (not (= Xs Ys)))))
% 16.06/16.27 (assume a3493 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (exists ((K tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) N)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I2) K)) (not (tptp.pp (tptp.aa_nat_bool P I2))))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc K)))))))))
% 16.06/16.27 (assume a3494 (forall ((N tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc I))) N)))))
% 16.06/16.27 (assume a3495 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)))))))
% 16.06/16.27 (assume a3496 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)))))))
% 16.06/16.27 (assume a3497 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) M2)))))))
% 16.06/16.27 (assume a3498 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.one_one_nat)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2)))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 16.06/16.27 (assume a3499 (forall ((N tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) K2))))))
% 16.06/16.27 (assume a3500 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))))))
% 16.06/16.27 (assume a3501 (forall ((M2 tptp.nat) (N tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat K2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat K2) M2)))))))
% 16.06/16.27 (assume a3502 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 16.06/16.27 (assume a3503 (forall ((I tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) I)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat I) N))))))
% 16.06/16.27 (assume a3504 (forall ((P tptp.fun_nat_bool) (A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (forall ((D3 tptp.nat)) (=> (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) D3)) (tptp.pp (tptp.aa_nat_bool P D3))))))))
% 16.06/16.27 (assume a3505 (forall ((P tptp.fun_nat_bool) (A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B))) (not (or (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)))) (exists ((D3 tptp.nat)) (and (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) D3)) (not (tptp.pp (tptp.aa_nat_bool P D3))))))))))
% 16.06/16.27 (assume a3506 (forall ((Info tptp.option4927543243414619207at_nat) (Ts tptp.list_VEBT_VEBT) (S tptp.vEBT_VEBT) (X3 tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node Info (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts S) X3) (tptp.vEBT_Node Info (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts S))))
% 16.06/16.27 (assume a3507 (forall ((Ux tptp.list_VEBT_VEBT) (Uy tptp.vEBT_VEBT) (Uz tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux Uy)) Uz)))))
% 16.06/16.27 (assume a3508 (forall ((Mi tptp.nat) (Ma tptp.nat) (Tr tptp.list_VEBT_VEBT) (Sm tptp.vEBT_VEBT) (X3 tptp.nat)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Tr Sm) X3) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Tr Sm))))
% 16.06/16.27 (assume a3509 (forall ((C tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) (tptp.aa_real_real (tptp.times_times_real C) B))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.one_one_real)))))))
% 16.06/16.27 (assume a3510 (forall ((C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.one_one_rat)))))))
% 16.06/16.27 (assume a3511 (forall ((C tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.one_one_int)))))))
% 16.06/16.27 (assume a3512 (forall ((C tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real C) A)) C)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)))))))
% 16.06/16.27 (assume a3513 (forall ((C tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) C)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) A)))))))
% 16.06/16.27 (assume a3514 (forall ((C tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) C)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) A)))))))
% 16.06/16.27 (assume a3515 (forall ((C tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) (tptp.aa_real_real (tptp.times_times_real B) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.one_one_real)))))))
% 16.06/16.27 (assume a3516 (forall ((C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.one_one_rat)))))))
% 16.06/16.27 (assume a3517 (forall ((C tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.one_one_int)))))))
% 16.06/16.27 (assume a3518 (forall ((A tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) C)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)))))))
% 16.06/16.27 (assume a3519 (forall ((A tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) C)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) A)))))))
% 16.06/16.27 (assume a3520 (forall ((A tptp.int) (C tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) C)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) A)))))))
% 16.06/16.27 (assume a3521 (forall ((C tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) (tptp.aa_real_real (tptp.times_times_real C) B))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) tptp.one_one_real)))))))
% 16.06/16.27 (assume a3522 (forall ((C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) tptp.one_one_rat)))))))
% 16.06/16.27 (assume a3523 (forall ((C tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) tptp.one_one_int)))))))
% 16.06/16.27 (assume a3524 (forall ((C tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real C) A)) C)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)))))))
% 16.06/16.27 (assume a3525 (forall ((C tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) C)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.one_one_rat))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)))))))
% 16.06/16.27 (assume a3526 (forall ((C tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) C)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.one_one_int))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)))))))
% 16.06/16.27 (assume a3527 (forall ((C tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) (tptp.aa_real_real (tptp.times_times_real B) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) tptp.one_one_real)))))))
% 16.06/16.27 (assume a3528 (forall ((C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) tptp.one_one_rat)))))))
% 16.06/16.27 (assume a3529 (forall ((C tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) B))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) tptp.one_one_int)))))))
% 16.06/16.27 (assume a3530 (forall ((A tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real A) C)) C)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)))))))
% 16.06/16.27 (assume a3531 (forall ((A tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) C)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.one_one_rat))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)))))))
% 16.06/16.27 (assume a3532 (forall ((A tptp.int) (C tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) C)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.one_one_int))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)))))))
% 16.06/16.27 (assume a3533 (forall ((X3 tptp.real) (A tptp.real) (Y tptp.real) (U tptp.real) (V2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) U)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) V2)) (=> (= (tptp.aa_real_real (tptp.plus_plus_real U) V2) tptp.one_one_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real U) X3)) (tptp.aa_real_real (tptp.times_times_real V2) Y))) A)))))))))
% 16.06/16.27 (assume a3534 (forall ((X3 tptp.rat) (A tptp.rat) (Y tptp.rat) (U tptp.rat) (V2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) U)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) V2)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat U) V2) tptp.one_one_rat) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat U) X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat V2) Y))) A)))))))))
% 16.06/16.27 (assume a3535 (forall ((X3 tptp.int) (A tptp.int) (Y tptp.int) (U tptp.int) (V2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) U)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) V2)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int U) V2) tptp.one_one_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int U) X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int V2) Y))) A)))))))))
% 16.06/16.27 (assume a3536 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real (tptp.divide_divide_real B) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)) B))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real)))))))))
% 16.06/16.27 (assume a3537 (forall ((W tptp.num) (B tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)) B))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat)))))))))
% 16.06/16.27 (assume a3538 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real B) C)) (tptp.aa_num_real tptp.numeral_numeral_real W))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)) B))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real W))))))))))
% 16.06/16.27 (assume a3539 (forall ((B tptp.rat) (C tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)) B))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat W))))))))))
% 16.06/16.27 (assume a3540 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_nat_real (tptp.power_power_real A) N))) (tptp.aa_nat_real (tptp.power_power_real A) N)))))))
% 16.06/16.27 (assume a3541 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 16.06/16.27 (assume a3542 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))))
% 16.06/16.27 (assume a3543 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int A) N))) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 16.06/16.27 (assume a3544 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N))) A))))))
% 16.06/16.27 (assume a3545 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N))) A))))))
% 16.06/16.27 (assume a3546 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N))) A))))))
% 16.06/16.27 (assume a3547 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N))) A))))))
% 16.06/16.27 (assume a3548 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_real))))))
% 16.06/16.27 (assume a3549 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_rat))))))
% 16.06/16.27 (assume a3550 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_nat))))))
% 16.06/16.27 (assume a3551 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_int))))))
% 16.06/16.27 (assume a3552 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) N5)) (tptp.aa_nat_real (tptp.power_power_real A) N))))))))
% 16.06/16.27 (assume a3553 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N5)) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))))
% 16.06/16.27 (assume a3554 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N5)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N5)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))))
% 16.06/16.27 (assume a3555 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N5)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N5)) (tptp.aa_nat_int (tptp.power_power_int A) N))))))))
% 16.06/16.27 (assume a3556 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) N5)) (tptp.aa_nat_real (tptp.power_power_real A) N))))))))
% 16.06/16.27 (assume a3557 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N5)) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))))
% 16.06/16.27 (assume a3558 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N5)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N5)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))))
% 16.06/16.27 (assume a3559 (forall ((N tptp.nat) (N5 tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N5)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N5)) (tptp.aa_nat_int (tptp.power_power_int A) N))))))))
% 16.06/16.27 (assume a3560 (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_rat))
% 16.06/16.27 (assume a3561 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))
% 16.06/16.27 (assume a3562 (= (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_real))
% 16.06/16.27 (assume a3563 (= (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))
% 16.06/16.27 (assume a3564 (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_complex))
% 16.06/16.27 (assume a3565 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_nat_real (tptp.power_power_real A) N)))))))
% 16.06/16.27 (assume a3566 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 16.06/16.27 (assume a3567 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))))
% 16.06/16.27 (assume a3568 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 16.06/16.27 (assume a3569 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real A) N)))))))
% 16.06/16.27 (assume a3570 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 16.06/16.27 (assume a3571 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))))
% 16.06/16.27 (assume a3572 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 16.06/16.27 (assume a3573 (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.06/16.27 (assume a3574 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.27 (assume a3575 (forall ((A tptp.complex) (N tptp.nat) (M2 tptp.nat)) (=> (not (= A tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex (tptp.power_power_complex A) M2)) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))))
% 16.06/16.27 (assume a3576 (forall ((A tptp.real) (N tptp.nat) (M2 tptp.nat)) (=> (not (= A tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real A) M2)) (tptp.aa_nat_real (tptp.power_power_real A) N)))))))
% 16.06/16.27 (assume a3577 (forall ((A tptp.rat) (N tptp.nat) (M2 tptp.nat)) (=> (not (= A tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_nat_rat (tptp.power_power_rat A) M2)) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 16.06/16.27 (assume a3578 (forall ((A tptp.nat) (N tptp.nat) (M2 tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))))
% 16.06/16.27 (assume a3579 (forall ((A tptp.int) (N tptp.nat) (M2 tptp.nat)) (=> (not (= A tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int A) M2)) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 16.06/16.27 (assume a3580 (forall ((M2 tptp.nat) (N tptp.nat)) (and (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N) tptp.zero_zero_nat)) (=> (not (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (= N tptp.zero_zero_nat))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) N)))))))
% 16.06/16.27 (assume a3581 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) N)))))))
% 16.06/16.27 (assume a3582 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= N (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))
% 16.06/16.27 (assume a3583 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc M2)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))
% 16.06/16.27 (assume a3584 (forall ((Q3 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) Q3)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) Q3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) Q3)) N))))))
% 16.06/16.27 (assume a3585 (forall ((M2 tptp.nat) (N tptp.nat)) (and (=> (= M2 tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N) N)) (=> (not (= M2 tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) tptp.one_one_nat)) N)))))))
% 16.06/16.27 (assume a3586 (forall ((P tptp.fun_nat_bool) (M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N))) (and (=> (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (=> (not (= N tptp.zero_zero_nat)) (forall ((I4 tptp.nat) (J3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J3) N)) (=> (= M2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) I4)) J3)) (tptp.pp (tptp.aa_nat_bool P I4))))))))))
% 16.06/16.27 (assume a3587 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N)) N)))))))
% 16.06/16.27 (assume a3588 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N))))))))
% 16.06/16.27 (assume a3589 (forall ((M2 tptp.nat) (N tptp.nat)) (and (=> (= M2 tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N) tptp.zero_zero_nat)) (=> (not (= M2 tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) tptp.one_one_nat)) N)))))))
% 16.06/16.27 (assume a3590 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va tptp.list_VEBT_VEBT) (Vb tptp.vEBT_VEBT) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) tptp.zero_zero_nat Va Vb)) X3)) (or (= X3 Mi) (= X3 Ma)))))
% 16.06/16.27 (assume a3591 (forall ((V2 tptp.product_prod_nat_nat) (Vd tptp.list_VEBT_VEBT) (Ve tptp.vEBT_VEBT) (Vf tptp.nat)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Vd Ve) Vf) tptp.none_nat)))
% 16.06/16.27 (assume a3592 (forall ((V2 tptp.product_prod_nat_nat) (Vc tptp.list_VEBT_VEBT) (Vd tptp.vEBT_VEBT) (Ve tptp.nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) tptp.zero_zero_nat Vc Vd) Ve) tptp.none_nat)))
% 16.06/16.27 (assume a3593 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real (tptp.divide_divide_real B) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)) B))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real)))))))))
% 16.06/16.27 (assume a3594 (forall ((W tptp.num) (B tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)) B))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat)))))))))
% 16.06/16.27 (assume a3595 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real B) C)) (tptp.aa_num_real tptp.numeral_numeral_real W))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)) B))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real W))))))))))
% 16.06/16.27 (assume a3596 (forall ((B tptp.rat) (C tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)) B))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat W))))))))))
% 16.06/16.27 (assume a3597 (forall ((X3 tptp.real) (A tptp.real) (Y tptp.real) (U tptp.real) (V2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) U)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) V2)) (=> (= (tptp.aa_real_real (tptp.plus_plus_real U) V2) tptp.one_one_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real U) X3)) (tptp.aa_real_real (tptp.times_times_real V2) Y))) A)))))))))
% 16.06/16.27 (assume a3598 (forall ((X3 tptp.rat) (A tptp.rat) (Y tptp.rat) (U tptp.rat) (V2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) U)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) V2)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat U) V2) tptp.one_one_rat) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat U) X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat V2) Y))) A)))))))))
% 16.06/16.27 (assume a3599 (forall ((X3 tptp.int) (A tptp.int) (Y tptp.int) (U tptp.int) (V2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) U)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) V2)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int U) V2) tptp.one_one_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int U) X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int V2) Y))) A)))))))))
% 16.06/16.27 (assume a3600 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.divide_divide_real A) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.27 (assume a3601 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.27 (assume a3602 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.divide_divide_real A) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 16.06/16.27 (assume a3603 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))
% 16.06/16.27 (assume a3604 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.27 (assume a3605 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.27 (assume a3606 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.27 (assume a3607 (forall ((X3 tptp.real) (Y tptp.real)) (=> (= (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= X3 Y))))))
% 16.06/16.27 (assume a3608 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (= (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (= X3 Y))))))
% 16.06/16.27 (assume a3609 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (= X3 Y))))))
% 16.06/16.27 (assume a3610 (forall ((X3 tptp.int) (Y tptp.int)) (=> (= (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= X3 Y))))))
% 16.06/16.27 (assume a3611 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y))))))
% 16.06/16.27 (assume a3612 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y))))))
% 16.06/16.27 (assume a3613 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y))))))
% 16.06/16.27 (assume a3614 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y))))))
% 16.06/16.27 (assume a3615 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3616 (forall ((A tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3617 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3618 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) tptp.zero_zero_nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2) tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3619 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) tptp.zero_zero_int)) (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3620 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) tptp.zero_zero_nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3621 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) tptp.zero_zero_int)) (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3622 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)) tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3623 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_int)) (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3624 (forall ((A tptp.nat) (N tptp.nat) (M2 tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)))))))))
% 16.06/16.27 (assume a3625 (forall ((A tptp.int) (N tptp.nat) (M2 tptp.nat)) (=> (not (= A tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int A) M2)) (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int A) M2)) (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)))))))))
% 16.06/16.27 (assume a3626 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= N tptp.zero_zero_nat) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 16.06/16.27 (assume a3627 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= N tptp.zero_zero_nat) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 16.06/16.27 (assume a3628 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.one_one_nat)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 16.06/16.27 (assume a3629 (forall ((M2 tptp.nat) (P2 tptp.complex)) (and (=> (= M2 tptp.zero_zero_nat) (= (tptp.aa_nat_complex (tptp.power_power_complex P2) M2) tptp.one_one_complex)) (=> (not (= M2 tptp.zero_zero_nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex P2) M2) (tptp.aa_complex_complex (tptp.times_times_complex P2) (tptp.aa_nat_complex (tptp.power_power_complex P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) tptp.one_one_nat))))))))
% 16.06/16.27 (assume a3630 (forall ((M2 tptp.nat) (P2 tptp.real)) (and (=> (= M2 tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.power_power_real P2) M2) tptp.one_one_real)) (=> (not (= M2 tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.power_power_real P2) M2) (tptp.aa_real_real (tptp.times_times_real P2) (tptp.aa_nat_real (tptp.power_power_real P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) tptp.one_one_nat))))))))
% 16.06/16.27 (assume a3631 (forall ((M2 tptp.nat) (P2 tptp.rat)) (and (=> (= M2 tptp.zero_zero_nat) (= (tptp.aa_nat_rat (tptp.power_power_rat P2) M2) tptp.one_one_rat)) (=> (not (= M2 tptp.zero_zero_nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat P2) M2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat P2) (tptp.aa_nat_rat (tptp.power_power_rat P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) tptp.one_one_nat))))))))
% 16.06/16.27 (assume a3632 (forall ((M2 tptp.nat) (P2 tptp.nat)) (and (=> (= M2 tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat P2) M2) tptp.one_one_nat)) (=> (not (= M2 tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat P2) M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) tptp.one_one_nat))))))))
% 16.06/16.27 (assume a3633 (forall ((M2 tptp.nat) (P2 tptp.int)) (and (=> (= M2 tptp.zero_zero_nat) (= (tptp.aa_nat_int (tptp.power_power_int P2) M2) tptp.one_one_int)) (=> (not (= M2 tptp.zero_zero_nat)) (= (tptp.aa_nat_int (tptp.power_power_int P2) M2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int P2) (tptp.aa_nat_int (tptp.power_power_int P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) tptp.one_one_nat))))))))
% 16.06/16.27 (assume a3634 (forall ((N tptp.nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) A) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.06/16.27 (assume a3635 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) A) (tptp.aa_nat_real (tptp.power_power_real A) N)))))
% 16.06/16.27 (assume a3636 (forall ((N tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 16.06/16.27 (assume a3637 (forall ((N tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))
% 16.06/16.27 (assume a3638 (forall ((N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.06/16.27 (assume a3639 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) N)))))))
% 16.06/16.27 (assume a3640 (forall ((P tptp.fun_nat_bool) (M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N))) (or (and (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (exists ((Q4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q4)) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat tptp.suc Q4)))) (tptp.pp (tptp.aa_nat_bool P Q4))))))))
% 16.06/16.27 (assume a3641 (forall ((V2 tptp.product_prod_nat_nat) (Vh tptp.list_VEBT_VEBT) (Vi tptp.vEBT_VEBT) (Vj tptp.nat)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vh Vi) Vj) tptp.none_nat)))
% 16.06/16.27 (assume a3642 (forall ((V2 tptp.product_prod_nat_nat) (Vg tptp.list_VEBT_VEBT) (Vh tptp.vEBT_VEBT) (Vi tptp.nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg Vh) Vi) tptp.none_nat)))
% 16.06/16.27 (assume a3643 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y))))))
% 16.06/16.27 (assume a3644 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y))))))
% 16.06/16.27 (assume a3645 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))))))
% 16.06/16.27 (assume a3646 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y))))))
% 16.06/16.27 (assume a3647 (forall ((X3 tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.27 (assume a3648 (forall ((X3 tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.27 (assume a3649 (forall ((X3 tptp.int) (Y tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.27 (assume a3650 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_real)) (and (= X3 tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3651 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_rat)) (and (= X3 tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3652 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_int)) (and (= X3 tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3653 (forall ((X3 tptp.real) (Y tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3654 (forall ((X3 tptp.rat) (Y tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3655 (forall ((X3 tptp.int) (Y tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3656 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (or (not (= X3 tptp.zero_zero_real)) (not (= Y tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3657 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (or (not (= X3 tptp.zero_zero_rat)) (not (= Y tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3658 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (or (not (= X3 tptp.zero_zero_int)) (not (= Y tptp.zero_zero_int))))))
% 16.06/16.27 (assume a3659 (forall ((A tptp.real) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.27 (assume a3660 (forall ((A tptp.rat) (N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.27 (assume a3661 (forall ((A tptp.int) (N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.27 (assume a3662 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N2)))))) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N2)))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 16.06/16.27 (assume a3663 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.27 (assume a3664 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.27 (assume a3665 (forall ((Xs tptp.list_complex) (B4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.set_complex2 Xs)) B4)) (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) (tptp.set_complex2 Xs))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) B4)))))))
% 16.06/16.27 (assume a3666 (forall ((Xs tptp.list_real) (B4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_real2 Xs)) B4)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) (tptp.set_real2 Xs))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) B4)))))))
% 16.06/16.27 (assume a3667 (forall ((Xs tptp.list_bool) (B4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool (tptp.set_bool2 Xs)) B4)) (forall ((X4 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X4) (tptp.set_bool2 Xs))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X4) B4)))))))
% 16.06/16.27 (assume a3668 (forall ((Xs tptp.list_int) (B4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 Xs)) B4)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) B4)))))))
% 16.06/16.27 (assume a3669 (forall ((Xs tptp.list_VEBT_VEBT) (B4 tptp.set_VEBT_VEBT)) (= (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 Xs) B4) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) B4)))))))
% 16.06/16.27 (assume a3670 (forall ((Xs tptp.list_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.set_nat2 Xs)) B4)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) B4)))))))
% 16.06/16.27 (assume a3671 (forall ((P tptp.fun_li6006399982103069984T_bool) (Xs tptp.list_VEBT_VEBT)) (=> (forall ((Xs2 tptp.list_VEBT_VEBT)) (=> (forall ((Ys2 tptp.list_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_s6755466524823107622T_VEBT Ys2)) (tptp.size_s6755466524823107622T_VEBT Xs2))) (tptp.pp (tptp.aa_lis2822252094023462681T_bool P Ys2)))) (tptp.pp (tptp.aa_lis2822252094023462681T_bool P Xs2)))) (tptp.pp (tptp.aa_lis2822252094023462681T_bool P Xs)))))
% 16.06/16.27 (assume a3672 (forall ((P tptp.fun_list_bool_bool) (Xs tptp.list_bool)) (=> (forall ((Xs2 tptp.list_bool)) (=> (forall ((Ys2 tptp.list_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_bool Ys2)) (tptp.size_size_list_bool Xs2))) (tptp.pp (tptp.aa_list_bool_bool P Ys2)))) (tptp.pp (tptp.aa_list_bool_bool P Xs2)))) (tptp.pp (tptp.aa_list_bool_bool P Xs)))))
% 16.06/16.27 (assume a3673 (forall ((P tptp.fun_list_nat_bool) (Xs tptp.list_nat)) (=> (forall ((Xs2 tptp.list_nat)) (=> (forall ((Ys2 tptp.list_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_nat Ys2)) (tptp.size_size_list_nat Xs2))) (tptp.pp (tptp.aa_list_nat_bool P Ys2)))) (tptp.pp (tptp.aa_list_nat_bool P Xs2)))) (tptp.pp (tptp.aa_list_nat_bool P Xs)))))
% 16.06/16.27 (assume a3674 (forall ((P tptp.fun_list_int_bool) (Xs tptp.list_int)) (=> (forall ((Xs2 tptp.list_int)) (=> (forall ((Ys2 tptp.list_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_int Ys2)) (tptp.size_size_list_int Xs2))) (tptp.pp (tptp.aa_list_int_bool P Ys2)))) (tptp.pp (tptp.aa_list_int_bool P Xs2)))) (tptp.pp (tptp.aa_list_int_bool P Xs)))))
% 16.06/16.27 (assume a3675 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 16.06/16.27 (assume a3676 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 16.06/16.27 (assume a3677 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))
% 16.06/16.27 (assume a3678 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3679 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3680 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3681 (forall ((X3 tptp.nat) (N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))))))))
% 16.06/16.27 (assume a3682 (forall ((X3 tptp.nat) (N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.06/16.27 (assume a3683 (forall ((U tptp.real) (X3 tptp.real) (Y tptp.real)) (=> (= (tptp.aa_nat_real (tptp.power_power_real U) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.times_times_real X3) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real U) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.27 (assume a3684 (forall ((U tptp.rat) (X3 tptp.rat) (Y tptp.rat)) (=> (= (tptp.aa_nat_rat (tptp.power_power_rat U) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat U) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) Y)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.27 (assume a3685 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (=> (= (tptp.size_s6755466524823107622T_VEBT Xs) (tptp.size_s6755466524823107622T_VEBT Ys)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.nth_VEBT_VEBT Xs I3) (tptp.nth_VEBT_VEBT Ys I3)))) (= Xs Ys)))))
% 16.06/16.27 (assume a3686 (forall ((Xs tptp.list_bool) (Ys tptp.list_bool)) (=> (= (tptp.size_size_list_bool Xs) (tptp.size_size_list_bool Ys)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) I3)) (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Ys) I3))))) (= Xs Ys)))))
% 16.06/16.27 (assume a3687 (forall ((Xs tptp.list_nat) (Ys tptp.list_nat)) (=> (= (tptp.size_size_list_nat Xs) (tptp.size_size_list_nat Ys)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_nat Xs))) (= (tptp.aa_nat_nat (tptp.nth_nat Xs) I3) (tptp.aa_nat_nat (tptp.nth_nat Ys) I3)))) (= Xs Ys)))))
% 16.06/16.27 (assume a3688 (forall ((Xs tptp.list_int) (Ys tptp.list_int)) (=> (= (tptp.size_size_list_int Xs) (tptp.size_size_list_int Ys)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_int Xs))) (= (tptp.aa_nat_int (tptp.nth_int Xs) I3) (tptp.aa_nat_int (tptp.nth_int Ys) I3)))) (= Xs Ys)))))
% 16.06/16.27 (assume a3689 (forall ((K2 tptp.nat) (P tptp.fun_na2351039247863542899T_bool)) (= (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) K2)) (exists ((X_12 tptp.vEBT_VEBT)) (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_nat8029987864780243636T_bool P I4) X_12))))) (exists ((Xs3 tptp.list_VEBT_VEBT)) (and (= (tptp.size_s6755466524823107622T_VEBT Xs3) K2) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) K2)) (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_nat8029987864780243636T_bool P I4) (tptp.nth_VEBT_VEBT Xs3 I4))))))))))
% 16.06/16.27 (assume a3690 (forall ((K2 tptp.nat) (P tptp.fun_na9137082442855928016l_bool)) (= (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) K2)) (exists ((X_12 tptp.bool)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_nat_fun_bool_bool P I4) X_12))))) (exists ((Xs3 tptp.list_bool)) (and (= (tptp.size_size_list_bool Xs3) K2) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) K2)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_nat_fun_bool_bool P I4) (tptp.aa_nat_bool (tptp.nth_bool Xs3) I4))))))))))
% 16.06/16.27 (assume a3691 (forall ((K2 tptp.nat) (P tptp.fun_nat_fun_nat_bool)) (= (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) K2)) (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I4) X_12))))) (exists ((Xs3 tptp.list_nat)) (and (= (tptp.size_size_list_nat Xs3) K2) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I4) (tptp.aa_nat_nat (tptp.nth_nat Xs3) I4))))))))))
% 16.06/16.27 (assume a3692 (forall ((K2 tptp.nat) (P tptp.fun_nat_fun_int_bool)) (= (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) K2)) (exists ((X_12 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_nat_fun_int_bool P I4) X_12))))) (exists ((Xs3 tptp.list_int)) (and (= (tptp.size_size_list_int Xs3) K2) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) K2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_nat_fun_int_bool P I4) (tptp.aa_nat_int (tptp.nth_int Xs3) I4))))))))))
% 16.06/16.27 (assume a3693 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (= (= Xs Ys) (and (= (tptp.size_s6755466524823107622T_VEBT Xs) (tptp.size_s6755466524823107622T_VEBT Ys)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.nth_VEBT_VEBT Xs I4) (tptp.nth_VEBT_VEBT Ys I4))))))))
% 16.06/16.27 (assume a3694 (forall ((Xs tptp.list_bool) (Ys tptp.list_bool)) (= (= Xs Ys) (and (= (tptp.size_size_list_bool Xs) (tptp.size_size_list_bool Ys)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) I4)) (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Ys) I4)))))))))
% 16.06/16.27 (assume a3695 (forall ((Xs tptp.list_nat) (Ys tptp.list_nat)) (= (= Xs Ys) (and (= (tptp.size_size_list_nat Xs) (tptp.size_size_list_nat Ys)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_nat Xs))) (= (tptp.aa_nat_nat (tptp.nth_nat Xs) I4) (tptp.aa_nat_nat (tptp.nth_nat Ys) I4))))))))
% 16.06/16.27 (assume a3696 (forall ((Xs tptp.list_int) (Ys tptp.list_int)) (= (= Xs Ys) (and (= (tptp.size_size_list_int Xs) (tptp.size_size_list_int Ys)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_int Xs))) (= (tptp.aa_nat_int (tptp.nth_int Xs) I4) (tptp.aa_nat_int (tptp.nth_int Ys) I4))))))))
% 16.06/16.27 (assume a3697 (forall ((Xs tptp.list_complex) (A4 tptp.set_complex) (X3 tptp.complex) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.set_complex2 Xs)) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.set_complex2 (tptp.list_update_complex Xs I X3))) A4))))))
% 16.06/16.27 (assume a3698 (forall ((Xs tptp.list_real) (A4 tptp.set_real) (X3 tptp.real) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_real2 Xs)) A4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_real2 (tptp.list_update_real Xs I X3))) A4))))))
% 16.06/16.27 (assume a3699 (forall ((Xs tptp.list_bool) (A4 tptp.set_bool) (X3 tptp.bool) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool (tptp.set_bool2 Xs)) A4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool (tptp.set_bool2 (tptp.list_update_bool Xs I X3))) A4))))))
% 16.06/16.27 (assume a3700 (forall ((Xs tptp.list_int) (A4 tptp.set_int) (X3 tptp.int) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 Xs)) A4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 (tptp.list_update_int Xs I X3))) A4))))))
% 16.06/16.27 (assume a3701 (forall ((Xs tptp.list_VEBT_VEBT) (A4 tptp.set_VEBT_VEBT) (X3 tptp.vEBT_VEBT) (I tptp.nat)) (=> (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 Xs) A4) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) A4)) (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 (tptp.list_u1324408373059187874T_VEBT Xs I X3)) A4)))))
% 16.06/16.27 (assume a3702 (forall ((Xs tptp.list_nat) (A4 tptp.set_nat) (X3 tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.set_nat2 Xs)) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.set_nat2 (tptp.list_update_nat Xs I X3))) A4))))))
% 16.06/16.27 (assume a3703 (forall ((Uz tptp.product_prod_nat_nat) (Va tptp.nat) (Vb tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz) Va Vb Vc))))))
% 16.06/16.27 (assume a3704 (forall ((Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (Uu2 tptp.nat)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList Summary) Uu2) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList Summary))))
% 16.06/16.27 (assume a3705 (forall ((Uu2 tptp.nat) (Uv2 tptp.list_VEBT_VEBT) (Uw2 tptp.vEBT_VEBT) (X3 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu2 Uv2 Uw2)) X3)))))
% 16.06/16.27 (assume a3706 (forall ((Uw2 tptp.nat) (Ux tptp.list_VEBT_VEBT) (Uy tptp.vEBT_VEBT)) (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw2 Ux Uy)))))
% 16.06/16.27 (assume a3707 (forall ((Xs tptp.list_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (= (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X4)))) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_s6755466524823107622T_VEBT Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT Xs I4))))))))
% 16.06/16.27 (assume a3708 (forall ((Xs tptp.list_bool) (P tptp.fun_bool_bool)) (= (forall ((X4 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X4) (tptp.set_bool2 Xs))) (tptp.pp (tptp.aa_bool_bool P X4)))) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_bool Xs))) (tptp.pp (tptp.aa_bool_bool P (tptp.aa_nat_bool (tptp.nth_bool Xs) I4))))))))
% 16.06/16.27 (assume a3709 (forall ((Xs tptp.list_nat) (P tptp.fun_nat_bool)) (= (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_nat_bool P X4)))) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_nat Xs))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat Xs) I4))))))))
% 16.06/16.27 (assume a3710 (forall ((Xs tptp.list_int) (P tptp.fun_int_bool)) (= (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_int_bool P X4)))) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_int Xs))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int Xs) I4))))))))
% 16.06/16.27 (assume a3711 (forall ((Xs tptp.list_complex) (P tptp.fun_complex_bool) (X3 tptp.complex)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_s3451745648224563538omplex Xs))) (tptp.pp (tptp.aa_complex_bool P (tptp.aa_nat_complex (tptp.nth_complex Xs) I3))))) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) (tptp.set_complex2 Xs))) (tptp.pp (tptp.aa_complex_bool P X3))))))
% 16.06/16.27 (assume a3712 (forall ((Xs tptp.list_real) (P tptp.fun_real_bool) (X3 tptp.real)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_real Xs))) (tptp.pp (tptp.aa_real_bool P (tptp.aa_nat_real (tptp.nth_real Xs) I3))))) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) (tptp.set_real2 Xs))) (tptp.pp (tptp.aa_real_bool P X3))))))
% 16.06/16.27 (assume a3713 (forall ((Xs tptp.list_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool) (X3 tptp.vEBT_VEBT)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_s6755466524823107622T_VEBT Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT Xs I3))))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X3))))))
% 16.06/16.27 (assume a3714 (forall ((Xs tptp.list_bool) (P tptp.fun_bool_bool) (X3 tptp.bool)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_bool Xs))) (tptp.pp (tptp.aa_bool_bool P (tptp.aa_nat_bool (tptp.nth_bool Xs) I3))))) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) (tptp.set_bool2 Xs))) (tptp.pp (tptp.aa_bool_bool P X3))))))
% 16.06/16.27 (assume a3715 (forall ((Xs tptp.list_nat) (P tptp.fun_nat_bool) (X3 tptp.nat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_nat Xs))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat Xs) I3))))) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_nat_bool P X3))))))
% 16.06/16.27 (assume a3716 (forall ((Xs tptp.list_int) (P tptp.fun_int_bool) (X3 tptp.int)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_int Xs))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int Xs) I3))))) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_int_bool P X3))))))
% 16.06/16.27 (assume a3717 (forall ((X3 tptp.complex) (Xs tptp.list_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) (tptp.set_complex2 Xs))) (exists ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_s3451745648224563538omplex Xs))) (= (tptp.aa_nat_complex (tptp.nth_complex Xs) I4) X3))))))
% 16.06/16.27 (assume a3718 (forall ((X3 tptp.real) (Xs tptp.list_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) (tptp.set_real2 Xs))) (exists ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_real Xs))) (= (tptp.aa_nat_real (tptp.nth_real Xs) I4) X3))))))
% 16.06/16.27 (assume a3719 (forall ((X3 tptp.vEBT_VEBT) (Xs tptp.list_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 Xs))) (exists ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.nth_VEBT_VEBT Xs I4) X3))))))
% 16.06/16.27 (assume a3720 (forall ((X3 tptp.bool) (Xs tptp.list_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) (tptp.set_bool2 Xs))) (exists ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) I4)) (tptp.pp X3)))))))
% 16.06/16.27 (assume a3721 (forall ((X3 tptp.nat) (Xs tptp.list_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_nat2 Xs))) (exists ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_nat Xs))) (= (tptp.aa_nat_nat (tptp.nth_nat Xs) I4) X3))))))
% 16.06/16.27 (assume a3722 (forall ((X3 tptp.int) (Xs tptp.list_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_int2 Xs))) (exists ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.size_size_list_int Xs))) (= (tptp.aa_nat_int (tptp.nth_int Xs) I4) X3))))))
% 16.06/16.27 (assume a3723 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s6755466524823107622T_VEBT Xs))) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X5)))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT Xs N)))))))
% 16.06/16.27 (assume a3724 (forall ((N tptp.nat) (Xs tptp.list_bool) (P tptp.fun_bool_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_bool Xs))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.set_bool2 Xs))) (tptp.pp (tptp.aa_bool_bool P X5)))) (tptp.pp (tptp.aa_bool_bool P (tptp.aa_nat_bool (tptp.nth_bool Xs) N)))))))
% 16.06/16.27 (assume a3725 (forall ((N tptp.nat) (Xs tptp.list_nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_nat Xs))) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.set_nat2 Xs))) (tptp.pp (tptp.aa_nat_bool P X5)))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat Xs) N)))))))
% 16.06/16.27 (assume a3726 (forall ((N tptp.nat) (Xs tptp.list_int) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_int Xs))) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.set_int2 Xs))) (tptp.pp (tptp.aa_int_bool P X5)))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int Xs) N)))))))
% 16.06/16.27 (assume a3727 (forall ((N tptp.nat) (Xs tptp.list_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3451745648224563538omplex Xs))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex (tptp.aa_nat_complex (tptp.nth_complex Xs) N)) (tptp.set_complex2 Xs))))))
% 16.06/16.27 (assume a3728 (forall ((N tptp.nat) (Xs tptp.list_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_real Xs))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.aa_nat_real (tptp.nth_real Xs) N)) (tptp.set_real2 Xs))))))
% 16.06/16.27 (assume a3729 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s6755466524823107622T_VEBT Xs))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.nth_VEBT_VEBT Xs N)) (tptp.set_VEBT_VEBT2 Xs))))))
% 16.06/16.27 (assume a3730 (forall ((N tptp.nat) (Xs tptp.list_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_bool Xs))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool (tptp.aa_nat_bool (tptp.nth_bool Xs) N)) (tptp.set_bool2 Xs))))))
% 16.06/16.27 (assume a3731 (forall ((N tptp.nat) (Xs tptp.list_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_nat Xs))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat (tptp.nth_nat Xs) N)) (tptp.set_nat2 Xs))))))
% 16.06/16.27 (assume a3732 (forall ((N tptp.nat) (Xs tptp.list_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_int Xs))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int (tptp.aa_nat_int (tptp.nth_int Xs) N)) (tptp.set_int2 Xs))))))
% 16.06/16.27 (assume a3733 (forall ((Xs tptp.list_int) (I tptp.nat) (X3 tptp.int)) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 (tptp.list_update_int Xs I X3))) (tptp.insert_int X3 (tptp.set_int2 Xs))))))
% 16.06/16.27 (assume a3734 (forall ((Xs tptp.list_bool) (I tptp.nat) (X3 tptp.bool)) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool (tptp.set_bool2 (tptp.list_update_bool Xs I X3))) (tptp.insert_bool X3 (tptp.set_bool2 Xs))))))
% 16.06/16.27 (assume a3735 (forall ((Xs tptp.list_P6011104703257516679at_nat) (I tptp.nat) (X3 tptp.product_prod_nat_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.set_Pr5648618587558075414at_nat (tptp.list_u6180841689913720943at_nat Xs I X3))) (tptp.insert8211810215607154385at_nat X3 (tptp.set_Pr5648618587558075414at_nat Xs))))))
% 16.06/16.27 (assume a3736 (forall ((Xs tptp.list_P5464809261938338413at_nat) (I tptp.nat) (X3 tptp.produc3843707927480180839at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.set_Pr3765526544606949372at_nat (tptp.list_u4696772448584712917at_nat Xs I X3))) (tptp.insert9069300056098147895at_nat X3 (tptp.set_Pr3765526544606949372at_nat Xs))))))
% 16.06/16.27 (assume a3737 (forall ((Xs tptp.list_VEBT_VEBT) (I tptp.nat) (X3 tptp.vEBT_VEBT)) (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 (tptp.list_u1324408373059187874T_VEBT Xs I X3)) (tptp.insert_VEBT_VEBT X3 (tptp.set_VEBT_VEBT2 Xs)))))
% 16.06/16.27 (assume a3738 (forall ((Xs tptp.list_nat) (I tptp.nat) (X3 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.set_nat2 (tptp.list_update_nat Xs I X3))) (tptp.insert_nat X3 (tptp.set_nat2 Xs))))))
% 16.06/16.27 (assume a3739 (forall ((N tptp.nat) (Xs tptp.list_complex) (X3 tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3451745648224563538omplex Xs))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) (tptp.set_complex2 (tptp.list_update_complex Xs N X3)))))))
% 16.06/16.27 (assume a3740 (forall ((N tptp.nat) (Xs tptp.list_real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_real Xs))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) (tptp.set_real2 (tptp.list_update_real Xs N X3)))))))
% 16.06/16.27 (assume a3741 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s6755466524823107622T_VEBT Xs))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 (tptp.list_u1324408373059187874T_VEBT Xs N X3)))))))
% 16.06/16.27 (assume a3742 (forall ((N tptp.nat) (Xs tptp.list_bool) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_bool Xs))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) (tptp.set_bool2 (tptp.list_update_bool Xs N X3)))))))
% 16.06/16.27 (assume a3743 (forall ((N tptp.nat) (Xs tptp.list_nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_nat Xs))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_nat2 (tptp.list_update_nat Xs N X3)))))))
% 16.06/16.27 (assume a3744 (forall ((N tptp.nat) (Xs tptp.list_int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_int Xs))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_int2 (tptp.list_update_int Xs N X3)))))))
% 16.06/16.27 (assume a3745 (forall ((I tptp.nat) (Xs tptp.list_VEBT_VEBT) (J tptp.nat) (X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_s6755466524823107622T_VEBT Xs))) (and (=> (= I J) (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I X3) J) X3)) (=> (not (= I J)) (= (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT Xs I X3) J) (tptp.nth_VEBT_VEBT Xs J)))))))
% 16.06/16.27 (assume a3746 (forall ((I tptp.nat) (Xs tptp.list_bool) (X3 tptp.bool) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool (tptp.list_update_bool Xs I X3)) J)) (and (=> (= I J) (tptp.pp X3)) (=> (not (= I J)) (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) J))))))))
% 16.06/16.27 (assume a3747 (forall ((I tptp.nat) (Xs tptp.list_nat) (J tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_nat Xs))) (and (=> (= I J) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.list_update_nat Xs I X3)) J) X3)) (=> (not (= I J)) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.list_update_nat Xs I X3)) J) (tptp.aa_nat_nat (tptp.nth_nat Xs) J)))))))
% 16.06/16.27 (assume a3748 (forall ((I tptp.nat) (Xs tptp.list_int) (J tptp.nat) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_int Xs))) (and (=> (= I J) (= (tptp.aa_nat_int (tptp.nth_int (tptp.list_update_int Xs I X3)) J) X3)) (=> (not (= I J)) (= (tptp.aa_nat_int (tptp.nth_int (tptp.list_update_int Xs I X3)) J) (tptp.aa_nat_int (tptp.nth_int Xs) J)))))))
% 16.06/16.27 (assume a3749 (forall ((I tptp.nat) (Xs tptp.list_VEBT_VEBT) (X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (= (tptp.list_u1324408373059187874T_VEBT Xs I X3) Xs) (= (tptp.nth_VEBT_VEBT Xs I) X3)))))
% 16.06/16.27 (assume a3750 (forall ((I tptp.nat) (Xs tptp.list_bool) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_bool Xs))) (= (= (tptp.list_update_bool Xs I X3) Xs) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) I)) (tptp.pp X3))))))
% 16.06/16.27 (assume a3751 (forall ((I tptp.nat) (Xs tptp.list_nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_nat Xs))) (= (= (tptp.list_update_nat Xs I X3) Xs) (= (tptp.aa_nat_nat (tptp.nth_nat Xs) I) X3)))))
% 16.06/16.27 (assume a3752 (forall ((I tptp.nat) (Xs tptp.list_int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_int Xs))) (= (= (tptp.list_update_int Xs I X3) Xs) (= (tptp.aa_nat_int (tptp.nth_int Xs) I) X3)))))
% 16.06/16.27 (assume a3753 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X3 tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary) X3) (tptp.if_VEBT_VEBT (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) Mi) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fdisj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Mi)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Ma)))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) X3) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) Mi) X3)) Ma))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) Mi) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) Mi) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) Mi) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) Mi) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_insert Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Mi)) Mi) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList Summary)))))
% 16.06/16.27 (assume a3754 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real B) A)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 16.06/16.27 (assume a3755 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) A)) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 16.06/16.27 (assume a3756 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real B) A)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A))))))
% 16.06/16.27 (assume a3757 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) A)) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A))))))
% 16.06/16.27 (assume a3758 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real (tptp.divide_divide_real B) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A))))))
% 16.06/16.27 (assume a3759 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A))))))
% 16.06/16.27 (assume a3760 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real (tptp.divide_divide_real B) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 16.06/16.27 (assume a3761 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 16.06/16.27 (assume a3762 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3763 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3764 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 16.06/16.27 (assume a3765 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 16.06/16.27 (assume a3766 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_pred X3 Xa2) Y) (=> (=> (exists ((Uu tptp.bool) (Uv tptp.bool)) (= X3 (tptp.vEBT_Leaf Uu Uv))) (=> (= Xa2 tptp.zero_zero_nat) (not (= Y tptp.none_nat)))) (=> (forall ((A3 tptp.bool)) (=> (exists ((Uw tptp.bool)) (= X3 (tptp.vEBT_Leaf A3 Uw))) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (not (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (= Y tptp.none_nat))))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (exists ((Va3 tptp.nat)) (= Xa2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)))) (not (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (= Y tptp.none_nat))))))))) (=> (=> (exists ((Uy2 tptp.nat) (Uz2 tptp.list_VEBT_VEBT) (Va2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uy2 Uz2 Va2))) (not (= Y tptp.none_nat))) (=> (=> (exists ((V tptp.product_prod_nat_nat) (Vd2 tptp.list_VEBT_VEBT) (Ve2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Vd2 Ve2))) (not (= Y tptp.none_nat))) (=> (=> (exists ((V tptp.product_prod_nat_nat) (Vh2 tptp.list_VEBT_VEBT) (Vi2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vh2 Vi2))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3)) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2)) (= Y (tptp.some_nat Ma2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (= Y (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_greater (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_pred (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_pred Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi2) Xa2) (tptp.some_nat Mi2) tptp.none_nat) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_pred Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_pred Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat)))))))))))))))))
% 16.06/16.27 (assume a3767 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_succ X3 Xa2) Y) (=> (forall ((Uu tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf Uu B3)) (=> (= Xa2 tptp.zero_zero_nat) (not (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (= Y tptp.none_nat))))))) (=> (=> (exists ((Uv tptp.bool) (Uw tptp.bool)) (= X3 (tptp.vEBT_Leaf Uv Uw))) (=> (exists ((N2 tptp.nat)) (= Xa2 (tptp.aa_nat_nat tptp.suc N2))) (not (= Y tptp.none_nat)))) (=> (=> (exists ((Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux2 Uy2 Uz2))) (not (= Y tptp.none_nat))) (=> (=> (exists ((V tptp.product_prod_nat_nat) (Vc2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Vc2 Vd2))) (not (= Y tptp.none_nat))) (=> (=> (exists ((V tptp.product_prod_nat_nat) (Vg2 tptp.list_VEBT_VEBT) (Vh2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg2 Vh2))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3)) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) (= Y (tptp.some_nat Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (= Y (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_succ Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat))))))))))))))))
% 16.06/16.27 (assume a3768 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_delete X3 Xa2) Y) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (= Xa2 tptp.zero_zero_nat) (not (= Y (tptp.vEBT_Leaf tptp.fFalse B3)))))) (=> (forall ((A3 tptp.bool)) (=> (exists ((B3 tptp.bool)) (= X3 (tptp.vEBT_Leaf A3 B3))) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (not (= Y (tptp.vEBT_Leaf A3 tptp.fFalse)))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (exists ((N2 tptp.nat)) (= Xa2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N2)))) (not (= Y (tptp.vEBT_Leaf A3 B3)))))) (=> (forall ((Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary3)) (not (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary3))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (TrLst2 tptp.list_VEBT_VEBT) (Smry2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat TrLst2 Smry2)) (not (= Y (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat TrLst2 Smry2))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Tr2 tptp.list_VEBT_VEBT) (Sm2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Tr2 Sm2)) (not (= Y (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Tr2 Sm2))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3)) (not (and (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (= Y (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3))) (=> (not (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2)))) (and (=> (and (= Xa2 Mi2) (= Xa2 Ma2)) (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3))) (=> (not (and (= Xa2 Mi2) (= Xa2 Ma2))) (= Y (tptp.if_VEBT_VEBT (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat 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tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) Ma2))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) (tptp.list_u1324408373059187874T_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) Summary3)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3))))))))))))))))))))
% 16.06/16.27 (assume a3769 (forall ((A tptp.bool) (B tptp.bool)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Leaf A B)) tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3770 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= N tptp.one_one_nat) (exists ((A3 tptp.bool) (B3 tptp.bool)) (= T (tptp.vEBT_Leaf A3 B3)))))))
% 16.06/16.27 (assume a3771 (forall ((T tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) tptp.one_one_nat)) (exists ((A3 tptp.bool) (B3 tptp.bool)) (= T (tptp.vEBT_Leaf A3 B3))))))
% 16.06/16.27 (assume a3772 (forall ((T tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) tptp.one_one_nat)) (exists ((A6 tptp.bool) (B7 tptp.bool)) (= T (tptp.vEBT_Leaf A6 B7))))))
% 16.06/16.27 (assume a3773 (forall ((X21 tptp.bool) (X222 tptp.bool) (Y21 tptp.bool) (Y22 tptp.bool)) (= (= (tptp.vEBT_Leaf X21 X222) (tptp.vEBT_Leaf Y21 Y22)) (and (= (tptp.pp X21) (tptp.pp Y21)) (= (tptp.pp X222) (tptp.pp Y22))))))
% 16.06/16.27 (assume a3774 (forall ((K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K2)))))
% 16.06/16.27 (assume a3775 (forall ((K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3776 (forall ((X21 tptp.bool) (X222 tptp.bool)) (= (tptp.aa_VEBT_VEBT_nat tptp.size_size_VEBT_VEBT (tptp.vEBT_Leaf X21 X222)) tptp.zero_zero_nat)))
% 16.06/16.27 (assume a3777 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT) (X21 tptp.bool) (X222 tptp.bool)) (not (= (tptp.vEBT_Node X11 X12 X13 X14) (tptp.vEBT_Leaf X21 X222)))))
% 16.06/16.27 (assume a3778 (forall ((Y tptp.vEBT_VEBT)) (=> (forall ((X112 tptp.option4927543243414619207at_nat) (X122 tptp.nat) (X132 tptp.list_VEBT_VEBT) (X142 tptp.vEBT_VEBT)) (not (= Y (tptp.vEBT_Node X112 X122 X132 X142)))) (not (forall ((X212 tptp.bool) (X223 tptp.bool)) (not (= Y (tptp.vEBT_Leaf X212 X223))))))))
% 16.06/16.27 (assume a3779 (forall ((X3 tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) X5)))) (not (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3) X5))))))))
% 16.06/16.27 (assume a3780 (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse))))
% 16.06/16.27 (assume a3781 (forall ((Uv2 tptp.bool)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_Leaf tptp.fTrue Uv2))))))
% 16.06/16.27 (assume a3782 (forall ((Uu2 tptp.bool)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_Leaf Uu2 tptp.fTrue))))))
% 16.06/16.27 (assume a3783 (forall ((Uu2 tptp.bool) (Uv2 tptp.bool) (Uw2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_Leaf Uu2 Uv2)) Uw2)))))
% 16.06/16.27 (assume a3784 (forall ((A tptp.bool) (B tptp.bool) (N tptp.nat)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Leaf A B) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N))) (tptp.vEBT_Leaf A B))))
% 16.06/16.27 (assume a3785 (= (tptp.vEBT_vebt_buildup tptp.zero_zero_nat) (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))
% 16.06/16.27 (assume a3786 (forall ((Uu2 tptp.bool) (Uv2 tptp.bool) (D tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid (tptp.vEBT_Leaf Uu2 Uv2)) D)) (= D tptp.one_one_nat))))
% 16.06/16.27 (assume a3787 (forall ((A tptp.bool) (B tptp.bool) (X3 tptp.nat)) (= (tptp.vEBT_VEBT_insert (tptp.vEBT_Leaf A B) X3) (tptp.vEBT_vebt_insert (tptp.vEBT_Leaf A B) X3))))
% 16.06/16.27 (assume a3788 (forall ((X3 tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) X5)))) (=> (forall ((Uu tptp.option4927543243414619207at_nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT) (Ux2 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw) Ux2)))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V) TreeList2 S2) X5)))))))))
% 16.06/16.27 (assume a3789 (forall ((A tptp.bool) (B tptp.bool)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Leaf A B)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.27 (assume a3790 (forall ((A tptp.bool) (B tptp.bool)) (= (tptp.vEBT_vebt_delete (tptp.vEBT_Leaf A B) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.vEBT_Leaf A tptp.fFalse))))
% 16.06/16.27 (assume a3791 (forall ((X3 tptp.vEBT_VEBT)) (=> (not (= X3 (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse))) (=> (forall ((Uv tptp.bool)) (not (= X3 (tptp.vEBT_Leaf tptp.fTrue Uv)))) (=> (forall ((Uu tptp.bool)) (not (= X3 (tptp.vEBT_Leaf Uu tptp.fTrue)))) (=> (forall ((Uw tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (not (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw Ux2 Uy2)))) (not (forall ((Uz2 tptp.product_prod_nat_nat) (Va2 tptp.nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (not (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va2 Vb2 Vc2)))))))))))
% 16.06/16.27 (assume a3792 (forall ((A tptp.bool) (B tptp.bool) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Leaf A B)) X3)) (and (=> (= X3 tptp.zero_zero_nat) (tptp.pp A)) (=> (not (= X3 tptp.zero_zero_nat)) (and (=> (= X3 tptp.one_one_nat) (tptp.pp B)) (= X3 tptp.one_one_nat)))))))
% 16.06/16.27 (assume a3793 (= (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))
% 16.06/16.27 (assume a3794 (forall ((X3 tptp.vEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X3))) (=> (forall ((Uv tptp.bool)) (not (= X3 (tptp.vEBT_Leaf tptp.fTrue Uv)))) (=> (forall ((Uu tptp.bool)) (not (= X3 (tptp.vEBT_Leaf Uu tptp.fTrue)))) (not (forall ((Uz2 tptp.product_prod_nat_nat) (Va2 tptp.nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (not (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va2 Vb2 Vc2))))))))))
% 16.06/16.27 (assume a3795 (forall ((A tptp.bool) (B tptp.bool) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.vEBT_Leaf A B)) X3)) (and (=> (= X3 tptp.zero_zero_nat) (tptp.pp A)) (=> (not (= X3 tptp.zero_zero_nat)) (and (=> (= X3 tptp.one_one_nat) (tptp.pp B)) (= X3 tptp.one_one_nat)))))))
% 16.06/16.27 (assume a3796 (forall ((Uv2 tptp.bool) (Uw2 tptp.bool) (N tptp.nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Leaf Uv2 Uw2) (tptp.aa_nat_nat tptp.suc N)) tptp.none_nat)))
% 16.06/16.27 (assume a3797 (forall ((Uu2 tptp.bool) (Uv2 tptp.bool)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Leaf Uu2 Uv2) tptp.zero_zero_nat) tptp.none_nat)))
% 16.06/16.27 (assume a3798 (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X3)) (=> (not (= X3 (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse))) (not (forall ((Uw tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (not (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw Ux2 Uy2)))))))))
% 16.06/16.27 (assume a3799 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.zero_zero_int)))))
% 16.06/16.27 (assume a3800 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (exists ((R3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R3)) (= (tptp.aa_nat_real (tptp.power_power_real R3) (tptp.aa_nat_nat tptp.suc N)) A))))))
% 16.06/16.27 (assume a3801 (forall ((Y tptp.real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) tptp.one_one_real)) (exists ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real X3) N2)) Y)))))))
% 16.06/16.27 (assume a3802 (forall ((X3 tptp.vEBT_VEBT)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (not (= X3 (tptp.vEBT_Leaf A3 B3)))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (not (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (not (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2)))))))))
% 16.06/16.27 (assume a3803 (forall ((X3 tptp.vEBT_VEBT) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X3)) (tptp.pp Y)) (=> (=> (= X3 (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (not (tptp.pp Y))) (=> (=> (exists ((Uv tptp.bool)) (= X3 (tptp.vEBT_Leaf tptp.fTrue Uv))) (tptp.pp Y)) (=> (=> (exists ((Uu tptp.bool)) (= X3 (tptp.vEBT_Leaf Uu tptp.fTrue))) (tptp.pp Y)) (=> (=> (exists ((Uw tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw Ux2 Uy2))) (not (tptp.pp Y))) (not (=> (exists ((Uz2 tptp.product_prod_nat_nat) (Va2 tptp.nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va2 Vb2 Vc2))) (tptp.pp Y))))))))))
% 16.06/16.27 (assume a3804 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (exists ((R3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R3)) (= (tptp.aa_nat_real (tptp.power_power_real R3) N) A)))))))
% 16.06/16.27 (assume a3805 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (exists ((X5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X5)) (= (tptp.aa_nat_real (tptp.power_power_real X5) N) A) (forall ((Y5 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y5)) (= (tptp.aa_nat_real (tptp.power_power_real Y5) N) A)) (= Y5 X5)))))))))
% 16.06/16.27 (assume a3806 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) tptp.one_one_int)) A)))))
% 16.06/16.27 (assume a3807 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B) A)))))
% 16.06/16.27 (assume a3808 (forall ((A tptp.bool) (B tptp.bool)) (and (=> (tptp.pp A) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Leaf A B)) (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A)) (and (=> (tptp.pp B) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Leaf A B)) (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B)) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Leaf A B)) tptp.none_nat)))))))
% 16.06/16.27 (assume a3809 (forall ((B tptp.bool) (A tptp.bool)) (and (=> (tptp.pp B) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Leaf A B)) (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B)) (and (=> (tptp.pp A) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Leaf A B)) (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A)) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Leaf A B)) tptp.none_nat)))))))
% 16.06/16.27 (assume a3810 (forall ((A tptp.bool) (Uw2 tptp.bool)) (and (=> (tptp.pp A) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Leaf A Uw2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Leaf A Uw2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.none_nat)))))
% 16.06/16.27 (assume a3811 (forall ((B tptp.bool) (Uu2 tptp.bool)) (and (=> (tptp.pp B) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Leaf Uu2 B) tptp.zero_zero_nat) (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Leaf Uu2 B) tptp.zero_zero_nat) tptp.none_nat)))))
% 16.06/16.27 (assume a3812 (forall ((M2 tptp.nat) (K2 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int K2) M2)) K2) (tptp.aa_nat_int (tptp.power_power_int K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 16.06/16.27 (assume a3813 (forall ((X3 tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) tptp.zero_zero_nat)))) (=> (forall ((A3 tptp.bool) (Uw tptp.bool)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 Uw) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (Va3 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)))))) (=> (forall ((Uy2 tptp.nat) (Uz2 tptp.list_VEBT_VEBT) (Va2 tptp.vEBT_VEBT) (Vb2 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uy2 Uz2 Va2) Vb2)))) (=> (forall ((V tptp.product_prod_nat_nat) (Vd2 tptp.list_VEBT_VEBT) (Ve2 tptp.vEBT_VEBT) (Vf2 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Vd2 Ve2) Vf2)))) (=> (forall ((V tptp.product_prod_nat_nat) (Vh2 tptp.list_VEBT_VEBT) (Vi2 tptp.vEBT_VEBT) (Vj2 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vh2 Vi2) Vj2)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3) X5)))))))))))))
% 16.06/16.27 (assume a3814 (forall ((X3 tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu tptp.bool) (B3 tptp.bool)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu B3) tptp.zero_zero_nat)))) (=> (forall ((Uv tptp.bool) (Uw tptp.bool) (N2 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uv Uw) (tptp.aa_nat_nat tptp.suc N2))))) (=> (forall ((Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT) (Va2 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux2 Uy2 Uz2) Va2)))) (=> (forall ((V tptp.product_prod_nat_nat) (Vc2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT) (Ve2 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Vc2 Vd2) Ve2)))) (=> (forall ((V tptp.product_prod_nat_nat) (Vg2 tptp.list_VEBT_VEBT) (Vh2 tptp.vEBT_VEBT) (Vi2 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg2 Vh2) Vi2)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3) X5))))))))))))
% 16.06/16.27 (assume a3815 (forall ((X3 tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) X5)))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2 S2) X5)))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S2) X5)))) (=> (forall ((V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V)) TreeList2 Summary3) X5)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3) X5)))))))))))
% 16.06/16.27 (assume a3816 (forall ((X3 tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool) (Uw tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) Uw)))) (=> (forall ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT) (Uz2 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2 Uy2) Uz2)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va2 Vb2) X5)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V) TreeList2 Vc2) X5)))) (not (forall ((V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList2 Vd2) X5)))))))))))
% 16.06/16.27 (assume a3817 (forall ((X3 tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) tptp.zero_zero_nat)))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (N2 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N2)))))) (=> (forall ((Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT) (Uu tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary3) Uu)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (TrLst2 tptp.list_VEBT_VEBT) (Smry2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat TrLst2 Smry2) X5)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Tr2 tptp.list_VEBT_VEBT) (Sm2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Tr2 Sm2) X5)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3) X5)))))))))))))
% 16.06/16.27 (assume a3818 (forall ((X3 tptp.produc9072475918466114483BT_nat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) X5)))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw) X5)))) (=> (forall ((V tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Uy2 Uz2) X5)))) (=> (forall ((V tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2) X5)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT) (X5 tptp.nat)) (not (= X3 (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3) X5)))))))))))
% 16.06/16.27 (assume a3819 (forall ((B tptp.bool) (A tptp.bool) (Va tptp.nat)) (and (=> (tptp.pp B) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Leaf A B) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B)) (and (=> (tptp.pp A) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Leaf A B) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A)) (= (tptp.vEBT_vebt_pred (tptp.vEBT_Leaf A B) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) tptp.none_nat)))))))
% 16.06/16.27 (assume a3820 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) C) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)))))
% 16.06/16.27 (assume a3821 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) C) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.divide_divide_real A) C)) (tptp.aa_real_real (tptp.divide_divide_real B) C)))))
% 16.06/16.27 (assume a3822 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)))))
% 16.06/16.27 (assume a3823 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_VEBT_insert X3 Xa2) Y) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (not (= Y (tptp.vEBT_vebt_insert (tptp.vEBT_Leaf A3 B3) Xa2))))) (not (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3)) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg2)) Xa2)) (= Y (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg2)) Xa2))) (= Y (tptp.vEBT_vebt_insert (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3) Xa2))))))))))))
% 16.06/16.27 (assume a3824 (forall ((X3 tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_mint X3) Y) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (not (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (= Y tptp.none_nat)))))))) (=> (=> (exists ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat)) (=> (exists ((Ma2 tptp.nat) (Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2))) (not (= Y (tptp.some_nat Mi2)))))))))))
% 16.06/16.27 (assume a3825 (forall ((X3 tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_maxt X3) Y) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (not (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (= Y tptp.none_nat)))))))) (=> (=> (exists ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2))) (not (= Y (tptp.some_nat Ma2)))))))))))
% 16.06/16.27 (assume a3826 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real A) B)) tptp.zero_zero_real)) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)))))))
% 16.06/16.27 (assume a3827 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) B)) tptp.zero_zero_rat)) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)))))))
% 16.06/16.27 (assume a3828 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real A) C)) (tptp.aa_real_real (tptp.divide_divide_real B) C)))))))
% 16.06/16.27 (assume a3829 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)))))))
% 16.06/16.27 (assume a3830 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.divide_divide_real A) B))) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real)))))))
% 16.06/16.27 (assume a3831 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) B))) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat)))))))
% 16.06/16.27 (assume a3832 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.divide_divide_real X3) Y)))))))
% 16.06/16.27 (assume a3833 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)))))))
% 16.06/16.27 (assume a3834 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real X3) Y)) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3835 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3836 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real X3) Y)) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3837 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3838 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.divide_divide_real X3) Y)))))))
% 16.06/16.27 (assume a3839 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)))))))
% 16.06/16.27 (assume a3840 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real B) C)) (tptp.aa_real_real (tptp.divide_divide_real A) C)))))))
% 16.06/16.27 (assume a3841 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) C)))))))
% 16.06/16.27 (assume a3842 (forall ((X3 tptp.real) (Y tptp.real)) (=> (forall ((E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.plus_plus_real Y) E2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)))))
% 16.06/16.27 (assume a3843 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (forall ((E2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) E2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Y) E2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)))))
% 16.06/16.27 (assume a3844 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real X3) Y)) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3845 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3846 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.divide_divide_real X3) Y)))))))
% 16.06/16.27 (assume a3847 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)))))))
% 16.06/16.27 (assume a3848 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.divide_divide_real X3) Y)))))))
% 16.06/16.27 (assume a3849 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)))))))
% 16.06/16.27 (assume a3850 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real X3) Y)) tptp.zero_zero_real))))))
% 16.06/16.27 (assume a3851 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)) tptp.zero_zero_rat))))))
% 16.06/16.27 (assume a3852 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real A) C)) (tptp.aa_real_real (tptp.divide_divide_real B) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)))))))
% 16.06/16.27 (assume a3853 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))))
% 16.06/16.27 (assume a3854 (forall ((X3 tptp.real) (Y tptp.real) (W tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) W)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real W) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real X3) Z)) (tptp.aa_real_real (tptp.divide_divide_real Y) W)))))))))
% 16.06/16.27 (assume a3855 (forall ((X3 tptp.rat) (Y tptp.rat) (W tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) W)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat W) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat Y) W)))))))))
% 16.06/16.27 (assume a3856 (forall ((X3 tptp.real) (Y tptp.real) (W tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) W)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real W) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real X3) Z)) (tptp.aa_real_real (tptp.divide_divide_real Y) W)))))))))
% 16.06/16.27 (assume a3857 (forall ((X3 tptp.rat) (Y tptp.rat) (W tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) W)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat W) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat Y) W)))))))))
% 16.06/16.27 (assume a3858 (forall ((Y tptp.real) (X3 tptp.real) (W tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) W)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real W) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real X3) Z)) (tptp.aa_real_real (tptp.divide_divide_real Y) W)))))))))
% 16.06/16.27 (assume a3859 (forall ((Y tptp.rat) (X3 tptp.rat) (W tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) W)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat W) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat Y) W)))))))))
% 16.06/16.27 (assume a3860 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z)) B) B)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z)) B) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.times_times_complex B) Z))) Z))))))
% 16.06/16.27 (assume a3861 (forall ((Z tptp.real) (A tptp.real) (B tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.divide_divide_real A) Z)) B) B)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.divide_divide_real A) Z)) B) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real (tptp.times_times_real B) Z))) Z))))))
% 16.06/16.27 (assume a3862 (forall ((Z tptp.rat) (A tptp.rat) (B tptp.rat)) (and (=> (= Z tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) Z)) B) B)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) Z)) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) Z))) Z))))))
% 16.06/16.27 (assume a3863 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) Z)) A)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) Z)) B)) Z))))))
% 16.06/16.27 (assume a3864 (forall ((Z tptp.real) (A tptp.real) (B tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real (tptp.divide_divide_real B) Z)) A)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real (tptp.divide_divide_real B) Z)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) Z)) B)) Z))))))
% 16.06/16.27 (assume a3865 (forall ((Z tptp.rat) (A tptp.rat) (B tptp.rat)) (and (=> (= Z tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) Z)) A)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) Z)) B)) Z))))))
% 16.06/16.27 (assume a3866 (forall ((Y tptp.complex) (Z tptp.complex) (X3 tptp.complex) (W tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X3) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex W) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex X3) Z)) (tptp.aa_complex_complex (tptp.times_times_complex W) Y))) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z)))))))
% 16.06/16.27 (assume a3867 (forall ((Y tptp.real) (Z tptp.real) (X3 tptp.real) (W tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.divide_divide_real X3) Y)) (tptp.aa_real_real (tptp.divide_divide_real W) Z)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real X3) Z)) (tptp.aa_real_real (tptp.times_times_real W) Y))) (tptp.aa_real_real (tptp.times_times_real Y) Z)))))))
% 16.06/16.27 (assume a3868 (forall ((Y tptp.rat) (Z tptp.rat) (X3 tptp.rat) (W tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat W) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat W) Y))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z)))))))
% 16.06/16.27 (assume a3869 (forall ((Y tptp.complex) (X3 tptp.complex) (Z tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X3) Y)) Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) (tptp.aa_complex_complex (tptp.times_times_complex Z) Y))) Y)))))
% 16.06/16.27 (assume a3870 (forall ((Y tptp.real) (X3 tptp.real) (Z tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.divide_divide_real X3) Y)) Z) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.times_times_real Z) Y))) Y)))))
% 16.06/16.27 (assume a3871 (forall ((Y tptp.rat) (X3 tptp.rat) (Z tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)) Z) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) Y))) Y)))))
% 16.06/16.27 (assume a3872 (forall ((Y tptp.complex) (Z tptp.complex) (X3 tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X3) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) (tptp.aa_complex_complex (tptp.times_times_complex Z) Y))) Y)))))
% 16.06/16.27 (assume a3873 (forall ((Y tptp.real) (Z tptp.real) (X3 tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.plus_plus_real Z) (tptp.aa_real_real (tptp.divide_divide_real X3) Y)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.times_times_real Z) Y))) Y)))))
% 16.06/16.27 (assume a3874 (forall ((Y tptp.rat) (Z tptp.rat) (X3 tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) Y))) Y)))))
% 16.06/16.27 (assume a3875 (forall ((Z tptp.complex) (X3 tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex X3) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Y) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex X3) Z)) Y)) Z)))))
% 16.06/16.27 (assume a3876 (forall ((Z tptp.real) (X3 tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.divide_divide_real Y) Z)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real X3) Z)) Y)) Z)))))
% 16.06/16.27 (assume a3877 (forall ((Z tptp.rat) (X3 tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat Y) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) Z)) Y)) Z)))))
% 16.06/16.27 (assume a3878 (forall ((Z tptp.complex) (X3 tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X3) Z)) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 16.06/16.27 (assume a3879 (forall ((Z tptp.real) (X3 tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.divide_divide_real X3) Z)) Y) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.times_times_real Y) Z))) Z)))))
% 16.06/16.27 (assume a3880 (forall ((Z tptp.rat) (X3 tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Z)) Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z))) Z)))))
% 16.06/16.27 (assume a3881 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real)))))))
% 16.06/16.27 (assume a3882 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat)))))))
% 16.06/16.27 (assume a3883 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real))) B)))))
% 16.06/16.27 (assume a3884 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat))) B)))))
% 16.06/16.27 (assume a3885 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X3) Xa2))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat)))))) (=> (forall ((Uu tptp.option4927543243414619207at_nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (not (= X3 (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw)))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((S2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V) TreeList2 S2))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))
% 16.06/16.27 (assume a3886 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X3) Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (not (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat))))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((S2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V) TreeList2 S2))) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))
% 16.06/16.27 (assume a3887 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X3) Xa2)) (tptp.pp Y)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (= (tptp.pp Y) (not (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat)))))))) (=> (=> (exists ((Uu tptp.option4927543243414619207at_nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw))) (tptp.pp Y)) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((S2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V) TreeList2 S2))) (= (tptp.pp Y) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))
% 16.06/16.27 (assume a3888 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X3) Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (not (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Summary3 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3))) (not (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))))
% 16.06/16.27 (assume a3889 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X3) Xa2)) (tptp.pp Y)) (=> (=> (exists ((Uu tptp.bool) (Uv tptp.bool)) (= X3 (tptp.vEBT_Leaf Uu Uv))) (tptp.pp Y)) (=> (=> (exists ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2 Uy2))) (tptp.pp Y)) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Va2 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va2 Vb2))) (= (tptp.pp Y) (not (or (= Xa2 Mi2) (= Xa2 Ma2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V) TreeList2 Vc2))) (= (tptp.pp Y) (not (or (= Xa2 Mi2) (= Xa2 Ma2) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))) (not (forall ((V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vd2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList2 Vd2))) (= (tptp.pp Y) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))
% 16.06/16.27 (assume a3890 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X3) Xa2))) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (not (= X3 (tptp.vEBT_Leaf Uu Uv)))) (=> (forall ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (not (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2 Uy2)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Va2 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va2 Vb2))) (or (= Xa2 Mi2) (= Xa2 Ma2)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V) TreeList2 Vc2))) (or (= Xa2 Mi2) (= Xa2 Ma2) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))) (not (forall ((V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vd2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList2 Vd2))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))
% 16.06/16.27 (assume a3891 (forall ((X3 tptp.real) (Y tptp.real)) (=> (forall ((Z2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Z2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real Z2) X3)) Y))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)))))
% 16.06/16.27 (assume a3892 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (forall ((Z2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Z2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z2) X3)) Y))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)))))
% 16.06/16.27 (assume a3893 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.times_times_real A) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real C) A)) (tptp.aa_real_real (tptp.divide_divide_real C) B))))))))
% 16.06/16.27 (assume a3894 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat C) B))))))))
% 16.06/16.27 (assume a3895 (forall ((Y tptp.real) (Z tptp.real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real Z) Y)) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Z) (tptp.aa_real_real (tptp.divide_divide_real X3) Y)))))))
% 16.06/16.27 (assume a3896 (forall ((Y tptp.rat) (Z tptp.rat) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) Y)) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)))))))
% 16.06/16.27 (assume a3897 (forall ((Y tptp.real) (X3 tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.times_times_real Z) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real X3) Y)) Z))))))
% 16.06/16.27 (assume a3898 (forall ((Y tptp.rat) (X3 tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)) Z))))))
% 16.06/16.27 (assume a3899 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.divide_divide_real B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) B))))))
% 16.06/16.27 (assume a3900 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B))))))
% 16.06/16.27 (assume a3901 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real B) C)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.times_times_real A) C)))))))
% 16.06/16.27 (assume a3902 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))))
% 16.06/16.27 (assume a3903 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.divide_divide_real B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.times_times_real A) C)))))))
% 16.06/16.27 (assume a3904 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))))
% 16.06/16.27 (assume a3905 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real B) C)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) B))))))
% 16.06/16.27 (assume a3906 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B))))))
% 16.06/16.27 (assume a3907 (forall ((B tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.times_times_real A) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real C) A)) (tptp.aa_real_real (tptp.divide_divide_real C) B))))))))
% 16.06/16.27 (assume a3908 (forall ((B tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat C) B))))))))
% 16.06/16.27 (assume a3909 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.divide_divide_real B) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) B))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.times_times_real A) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))))))
% 16.06/16.27 (assume a3910 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))))))
% 16.06/16.27 (assume a3911 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real B) C)) A)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.times_times_real A) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) B))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))))))
% 16.06/16.27 (assume a3912 (forall ((B tptp.rat) (C tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)) A)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))))))
% 16.06/16.27 (assume a3913 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real (tptp.divide_divide_real B) A))) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A)))))))
% 16.06/16.27 (assume a3914 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) A))) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)))))))
% 16.06/16.27 (assume a3915 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real B) A)) tptp.one_one_real)) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))) (= A tptp.zero_zero_real)))))
% 16.06/16.27 (assume a3916 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) A)) tptp.one_one_rat)) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (= A tptp.zero_zero_rat)))))
% 16.06/16.27 (assume a3917 (forall ((Y tptp.real) (Z tptp.real) (X3 tptp.real) (W tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real X3) Y)) (tptp.aa_real_real (tptp.divide_divide_real W) Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real X3) Z)) (tptp.aa_real_real (tptp.times_times_real W) Y))) (tptp.aa_real_real (tptp.times_times_real Y) Z))) tptp.zero_zero_real)))))))
% 16.06/16.27 (assume a3918 (forall ((Y tptp.rat) (Z tptp.rat) (X3 tptp.rat) (W tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat W) Z))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat W) Y))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z))) tptp.zero_zero_rat)))))))
% 16.06/16.27 (assume a3919 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X3) Xa2)) (tptp.pp Y)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (= (tptp.pp Y) (not (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat)))))))) (=> (=> (exists ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw))) (tptp.pp Y)) (=> (=> (exists ((V tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Uy2 Uz2))) (tptp.pp Y)) (=> (=> (exists ((V tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2))) (tptp.pp Y)) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Summary3 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3))) (= (tptp.pp Y) (not (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))))))))
% 16.06/16.27 (assume a3920 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X3) Xa2))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat)))))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (not (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)))) (=> (forall ((V tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (not (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Uy2 Uz2)))) (=> (forall ((V tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (not (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Summary3 tptp.vEBT_VEBT)) (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3))) (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))))))
% 16.06/16.27 (assume a3921 (forall ((A1 tptp.vEBT_VEBT) (A22 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt A1) A22)) (=> (=> (exists ((A3 tptp.bool) (B3 tptp.bool)) (= A1 (tptp.vEBT_Leaf A3 B3))) (not (= A22 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (Summary3 tptp.vEBT_VEBT) (M tptp.nat) (Deg2 tptp.nat)) (=> (= A1 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary3)) (=> (= A22 Deg2) (=> (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary3) M)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (=> (= M N2) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) M)) (=> (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) X_1)))) (not (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X) X_1)))))))))))))))) (=> (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (Summary3 tptp.vEBT_VEBT) (M tptp.nat) (Deg2 tptp.nat)) (=> (= A1 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary3)) (=> (= A22 Deg2) (=> (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary3) M)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (=> (= M (tptp.aa_nat_nat tptp.suc N2)) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) M)) (=> (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) X_1)))) (not (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X) X_1)))))))))))))))) (=> (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (Summary3 tptp.vEBT_VEBT) (M tptp.nat) (Deg2 tptp.nat) (Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (= A1 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Deg2 TreeList2 Summary3)) (=> (= A22 Deg2) (=> (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary3) M)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (=> (= M N2) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) M)) (=> (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (= (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I2)) X_12))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) I2))))) (=> (=> (= Mi2 Ma2) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X) X_1))))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi2) Ma2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg2))) (not (=> (not (= Mi2 Ma2)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma2) N2) I2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma2) N2)))) (forall ((X tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) N2) I2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) N2)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi2) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Ma2)))))))))))))))))))))) (not (forall ((TreeList2 tptp.list_VEBT_VEBT) (N2 tptp.nat) (Summary3 tptp.vEBT_VEBT) (M tptp.nat) (Deg2 tptp.nat) (Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (= A1 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Deg2 TreeList2 Summary3)) (=> (= A22 Deg2) (=> (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary3) M)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (=> (= M (tptp.aa_nat_nat tptp.suc N2)) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) M)) (=> (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (= (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I2)) X_12))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) I2))))) (=> (=> (= Mi2 Ma2) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X) X_1))))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi2) Ma2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg2))) (not (=> (not (= Mi2 Ma2)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma2) N2) I2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma2) N2)))) (forall ((X tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) N2) I2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) N2)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi2) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Ma2))))))))))))))))))))))))))))))
% 16.06/16.27 (assume a3922 (forall ((A1 tptp.vEBT_VEBT) (A22 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt A1) A22)) (or (and (exists ((A6 tptp.bool) (B7 tptp.bool)) (= A1 (tptp.vEBT_Leaf A6 B7))) (= A22 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (exists ((TreeList4 tptp.list_VEBT_VEBT) (N4 tptp.nat) (Summary4 tptp.vEBT_VEBT)) (and (= A1 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat A22 TreeList4 Summary4)) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList4))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X4) N4)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary4) N4)) (= (tptp.size_s6755466524823107622T_VEBT TreeList4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N4)) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N4) N4)) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary4) X_12)))) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList4))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_12)))))))) (exists ((TreeList4 tptp.list_VEBT_VEBT) (N4 tptp.nat) (Summary4 tptp.vEBT_VEBT)) (and (= A1 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat A22 TreeList4 Summary4)) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList4))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X4) N4)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary4) (tptp.aa_nat_nat tptp.suc N4))) (= (tptp.size_s6755466524823107622T_VEBT TreeList4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N4))) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N4) (tptp.aa_nat_nat tptp.suc N4))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary4) X_12)))) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList4))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_12)))))))) (exists ((TreeList4 tptp.list_VEBT_VEBT) (N4 tptp.nat) (Summary4 tptp.vEBT_VEBT) (Mi3 tptp.nat) (Ma3 tptp.nat)) (and (= A1 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi3) Ma3)) A22 TreeList4 Summary4)) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList4))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X4) N4)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary4) N4)) (= (tptp.size_s6755466524823107622T_VEBT TreeList4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N4)) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N4) N4)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N4))) (= (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList4 I4)) X_12))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary4) I4))))) (=> (= Mi3 Ma3) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList4))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_12))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi3) Ma3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A22))) (=> (not (= Mi3 Ma3)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N4))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma3) N4) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList4 I4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma3) N4)))) (forall ((X4 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X4) N4) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList4 I4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X4) N4)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi3) X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Ma3))))))))))) (exists ((TreeList4 tptp.list_VEBT_VEBT) (N4 tptp.nat) (Summary4 tptp.vEBT_VEBT) (Mi3 tptp.nat) (Ma3 tptp.nat)) (and (= A1 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi3) Ma3)) A22 TreeList4 Summary4)) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList4))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X4) N4)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary4) (tptp.aa_nat_nat tptp.suc N4))) (= (tptp.size_s6755466524823107622T_VEBT TreeList4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N4))) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N4) (tptp.aa_nat_nat tptp.suc N4))) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N4)))) (= (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList4 I4)) X_12))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary4) I4))))) (=> (= Mi3 Ma3) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList4))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_12))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi3) Ma3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A22))) (=> (not (= Mi3 Ma3)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N4)))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma3) N4) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList4 I4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma3) N4)))) (forall ((X4 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X4) N4) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList4 I4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X4) N4)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi3) X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Ma3)))))))))))))))
% 16.06/16.27 (assume a3923 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_insert X3 Xa2) Y) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (not (and (=> (= Xa2 tptp.zero_zero_nat) (= Y (tptp.vEBT_Leaf tptp.fTrue B3))) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (= Y (tptp.vEBT_Leaf A3 tptp.fTrue))) (=> (not (= Xa2 tptp.one_one_nat)) (= Y (tptp.vEBT_Leaf A3 B3))))))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2 S2)) (not (= Y (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2 S2))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S2)) (not (= Y (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S2))))) (=> (forall ((V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V)) TreeList2 Summary3)) (not (= Y (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xa2) Xa2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V)) TreeList2 Summary3))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3)) (not (= Y (tptp.if_VEBT_VEBT (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fdisj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Ma2)))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) Ma2))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) (tptp.list_u1324408373059187874T_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_insert Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary3)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3))))))))))))))
% 16.06/16.27 (assume a3924 (forall ((U tptp.real) (V2 tptp.real) (R2 tptp.real) (S tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real U) V2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real R2) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real U) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real R2) (tptp.aa_real_real (tptp.minus_minus_real V2) U))) S))) V2)))))))
% 16.06/16.27 (assume a3925 (forall ((U tptp.rat) (V2 tptp.rat) (R2 tptp.rat) (S tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat U) V2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) R2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat R2) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat U) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat R2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat V2) U))) S))) V2)))))))
% 16.06/16.27 (assume a3926 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.vEBT_VEBT_set_vebt T)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat)))))))
% 16.06/16.27 (assume a3927 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat tptp.zero_zero_nat) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.27 (assume a3928 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se7879613467334960850it_int tptp.zero_zero_nat) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.27 (assume a3929 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_succ X3 Xa2) Y) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((Uu tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf Uu B3)) (=> (= Xa2 tptp.zero_zero_nat) (=> (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (= Y tptp.none_nat))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu B3) tptp.zero_zero_nat))))))) (=> (forall ((Uv tptp.bool) (Uw tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf Uv Uw)) (forall ((N2 tptp.nat)) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc N2)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uv Uw) (tptp.aa_nat_nat tptp.suc N2))))))))) (=> (forall ((Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux2 Uy2 Uz2)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux2 Uy2 Uz2) Xa2)))))) (=> (forall ((V tptp.product_prod_nat_nat) (Vc2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Vc2 Vd2)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Vc2 Vd2) Xa2)))))) (=> (forall ((V tptp.product_prod_nat_nat) (Vg2 tptp.list_VEBT_VEBT) (Vh2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg2 Vh2)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg2 Vh2) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3)) (=> (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) (= Y (tptp.some_nat Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (= Y (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_succ Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat)))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3) Xa2))))))))))))))))
% 16.06/16.27 (assume a3930 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_pred X3 Xa2) Y) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf Uu Uv)) (=> (= Xa2 tptp.zero_zero_nat) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) tptp.zero_zero_nat))))))) (=> (forall ((A3 tptp.bool) (Uw tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 Uw)) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (=> (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (= Y tptp.none_nat))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 Uw) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (forall ((Va3 tptp.nat)) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (=> (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (= Y tptp.none_nat))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)))))))))) (=> (forall ((Uy2 tptp.nat) (Uz2 tptp.list_VEBT_VEBT) (Va2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uy2 Uz2 Va2)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uy2 Uz2 Va2) Xa2)))))) (=> (forall ((V tptp.product_prod_nat_nat) (Vd2 tptp.list_VEBT_VEBT) (Ve2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Vd2 Ve2)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Vd2 Ve2) Xa2)))))) (=> (forall ((V tptp.product_prod_nat_nat) (Vh2 tptp.list_VEBT_VEBT) (Vi2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vh2 Vi2)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vh2 Vi2) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3)) (=> (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2)) (= Y (tptp.some_nat Ma2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (= Y (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat))) (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.vEBT_VEBT_greater (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_pred (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_pred Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi2) Xa2) (tptp.some_nat Mi2) tptp.none_nat) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_pred Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_pred Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat)))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_pred_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3) Xa2)))))))))))))))))
% 16.06/16.27 (assume a3931 (forall ((A tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real A) A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 16.06/16.27 (assume a3932 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 16.06/16.27 (assume a3933 (forall ((A tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 16.06/16.27 (assume a3934 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_delete X3 Xa2) Y) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (= Xa2 tptp.zero_zero_nat) (=> (= Y (tptp.vEBT_Leaf tptp.fFalse B3)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) tptp.zero_zero_nat))))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (=> (= Y (tptp.vEBT_Leaf A3 tptp.fFalse)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (forall ((N2 tptp.nat)) (=> (= Xa2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N2))) (=> (= Y (tptp.vEBT_Leaf A3 B3)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N2)))))))))) (=> (forall ((Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary3)) (=> (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary3)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary3) Xa2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (TrLst2 tptp.list_VEBT_VEBT) (Smry2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat TrLst2 Smry2)) (=> (= Y (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat TrLst2 Smry2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat TrLst2 Smry2) Xa2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Tr2 tptp.list_VEBT_VEBT) (Sm2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Tr2 Sm2)) (=> (= Y (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Tr2 Sm2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Tr2 Sm2) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3)) (=> (and (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (= Y (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3))) (=> (not (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2)))) (and (=> (and (= Xa2 Mi2) (= Xa2 Ma2)) (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3))) (=> (not (and (= Xa2 Mi2) (= Xa2 Ma2))) (= Y (tptp.if_VEBT_VEBT (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Ma2))) (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2))) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Ma2)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.none_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.vEBT_vebt_delete Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) 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tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT (tptp.list_u1324408373059187874T_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) Ma2))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) (tptp.list_u1324408373059187874T_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_delete (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_mint Summary3))))))) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) Summary3)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3))))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_delete_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3) Xa2)))))))))))))))))
% 16.06/16.27 (assume a3935 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat tptp.zero_zero_nat) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.27 (assume a3936 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se4203085406695923979it_int tptp.zero_zero_nat) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.27 (assume a3937 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((M5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N)) (tptp.pp (tptp.aa_nat_bool P M5)))) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.pp (tptp.aa_nat_bool P X4)))))))
% 16.06/16.27 (assume a3938 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N)) (tptp.pp (tptp.aa_nat_bool P M5)))) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.pp (tptp.aa_nat_bool P X4)))))))
% 16.06/16.27 (assume a3939 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_insert X3 Xa2) Y) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (and (=> (= Xa2 tptp.zero_zero_nat) (= Y (tptp.vEBT_Leaf tptp.fTrue B3))) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (= Y (tptp.vEBT_Leaf A3 tptp.fTrue))) (=> (not (= Xa2 tptp.one_one_nat)) (= Y (tptp.vEBT_Leaf A3 B3)))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2 S2)) (=> (= Y (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2 S2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2 S2) Xa2)))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S2)) (=> (= Y (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S2) Xa2)))))) (=> (forall ((V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V)) TreeList2 Summary3)) (=> (= Y (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xa2) Xa2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V)) TreeList2 Summary3)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V)) TreeList2 Summary3) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3)) (=> (= Y (tptp.if_VEBT_VEBT (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fdisj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Mi2)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa2) Ma2)))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Xa2) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) Ma2))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) (tptp.list_u1324408373059187874T_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_insert Summary3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2)) Mi2) Xa2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary3)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3) Xa2)))))))))))))))
% 16.06/16.27 (assume a3940 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.vEBT_set_vebt (tptp.vEBT_VEBT_insert T X3)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.vEBT_set_vebt T)) (tptp.insert_nat X3 tptp.bot_bot_set_nat))) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat)))))))
% 16.06/16.27 (assume a3941 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_VEBT_insert X3 Xa2) Y) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_insert_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (= Y (tptp.vEBT_vebt_insert (tptp.vEBT_Leaf A3 B3) Xa2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)))))) (not (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3)) (=> (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg2)) Xa2)) (= Y (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg2)) Xa2))) (= Y (tptp.vEBT_vebt_insert (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3) Xa2)))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3) Xa2))))))))))))
% 16.06/16.27 (assume a3942 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X3) Xa2))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)) (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat))))))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw) Xa2))))) (=> (forall ((V tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Uy2 Uz2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Uy2 Uz2) Xa2))))) (=> (forall ((V tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2) Xa2))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3) Xa2)) (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))))))))
% 16.06/16.27 (assume a3943 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X3) Xa2)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (= (tptp.pp Y) (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)))))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw) Xa2)))))) (=> (forall ((V tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Uy2 Uz2)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Uy2 Uz2) Xa2)))))) (=> (forall ((V tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2) Xa2)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3)) (=> (= (tptp.pp Y) (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3) Xa2)))))))))))))))
% 16.06/16.27 (assume a3944 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X3) Xa2)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (= (tptp.pp Y) (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)))))) (=> (forall ((Uu tptp.option4927543243414619207at_nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw) Xa2)))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V) TreeList2 S2)) (=> (= (tptp.pp Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V) TreeList2 S2) Xa2)))))))))))))
% 16.06/16.27 (assume a3945 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X3) Xa2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)) (not (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat)))))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V) TreeList2 S2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V) TreeList2 S2) Xa2)) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))
% 16.06/16.27 (assume a3946 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X3) Xa2))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)) (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat))))))) (=> (forall ((Uu tptp.option4927543243414619207at_nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw) Xa2))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V) TreeList2 S2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V) TreeList2 S2) Xa2)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))
% 16.06/16.27 (assume a3947 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.inf_inf_set_complex A4 B4)))))))
% 16.06/16.27 (assume a3948 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.inf_inf_set_real A4 B4)))))))
% 16.06/16.27 (assume a3949 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.inf_inf_set_bool A4 B4)))))))
% 16.06/16.27 (assume a3950 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.inf_inf_set_int A4 B4)))))))
% 16.06/16.27 (assume a3951 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)))))))
% 16.06/16.27 (assume a3952 (forall ((C tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) B4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)))))))
% 16.06/16.27 (assume a3953 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.inf_inf_set_complex A4 B4))) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4))))))
% 16.06/16.27 (assume a3954 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.inf_inf_set_real A4 B4))) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4))))))
% 16.06/16.27 (assume a3955 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.inf_inf_set_bool A4 B4))) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4))))))
% 16.06/16.27 (assume a3956 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.inf_inf_set_int A4 B4))) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4))))))
% 16.06/16.27 (assume a3957 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4))))))
% 16.06/16.27 (assume a3958 (forall ((C tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) A4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) B4))))))
% 16.06/16.27 (assume a3959 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (C tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B) C))) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) B)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) C))))))
% 16.06/16.27 (assume a3960 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B) C))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) C))))))
% 16.06/16.27 (assume a3961 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat B) C))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C))))))
% 16.06/16.27 (assume a3962 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat B) C))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C))))))
% 16.06/16.27 (assume a3963 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int B) C))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C))))))
% 16.06/16.27 (assume a3964 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat) (Z tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat Y) Z))) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) Y)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) Z))))))
% 16.06/16.27 (assume a3965 (forall ((X3 tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat Y) Z))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Z))))))
% 16.06/16.27 (assume a3966 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat Y) Z))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Z))))))
% 16.06/16.27 (assume a3967 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat Y) Z))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Z))))))
% 16.06/16.27 (assume a3968 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int Y) Z))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Z))))))
% 16.06/16.27 (assume a3969 (forall ((X3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) tptp.bot_bo2099793752762293965at_nat) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.27 (assume a3970 (forall ((X3 tptp.set_bool)) (= (tptp.inf_inf_set_bool X3 tptp.bot_bot_set_bool) tptp.bot_bot_set_bool)))
% 16.06/16.27 (assume a3971 (forall ((X3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) tptp.bot_bot_set_nat) tptp.bot_bot_set_nat)))
% 16.06/16.27 (assume a3972 (forall ((X3 tptp.set_int)) (= (tptp.inf_inf_set_int X3 tptp.bot_bot_set_int) tptp.bot_bot_set_int)))
% 16.06/16.27 (assume a3973 (forall ((X3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat tptp.bot_bo2099793752762293965at_nat) X3) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.27 (assume a3974 (forall ((X3 tptp.set_bool)) (= (tptp.inf_inf_set_bool tptp.bot_bot_set_bool X3) tptp.bot_bot_set_bool)))
% 16.06/16.27 (assume a3975 (forall ((X3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat tptp.bot_bot_set_nat) X3) tptp.bot_bot_set_nat)))
% 16.06/16.27 (assume a3976 (forall ((X3 tptp.set_int)) (= (tptp.inf_inf_set_int tptp.bot_bot_set_int X3) tptp.bot_bot_set_int)))
% 16.06/16.27 (assume a3977 (forall ((C2 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat C2) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat C2) A4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat C2) B4))))))
% 16.06/16.27 (assume a3978 (forall ((C2 tptp.set_nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C2) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C2) B4))))))
% 16.06/16.27 (assume a3979 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) A4)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) (tptp.insert9069300056098147895at_nat A B4)) (tptp.insert9069300056098147895at_nat A (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4))))))
% 16.06/16.27 (assume a3980 (forall ((A tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4)) (= (tptp.inf_inf_set_complex A4 (tptp.insert_complex A B4)) (tptp.insert_complex A (tptp.inf_inf_set_complex A4 B4))))))
% 16.06/16.27 (assume a3981 (forall ((A tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (= (tptp.inf_inf_set_real A4 (tptp.insert_real A B4)) (tptp.insert_real A (tptp.inf_inf_set_real A4 B4))))))
% 16.06/16.27 (assume a3982 (forall ((A tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4)) (= (tptp.inf_inf_set_bool A4 (tptp.insert_bool A B4)) (tptp.insert_bool A (tptp.inf_inf_set_bool A4 B4))))))
% 16.06/16.27 (assume a3983 (forall ((A tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4)) (= (tptp.inf_inf_set_int A4 (tptp.insert_int A B4)) (tptp.insert_int A (tptp.inf_inf_set_int A4 B4))))))
% 16.06/16.27 (assume a3984 (forall ((A tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.insert_nat A B4)) (tptp.insert_nat A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))))
% 16.06/16.27 (assume a3985 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.insert8211810215607154385at_nat A B4)) (tptp.insert8211810215607154385at_nat A (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))))))
% 16.06/16.27 (assume a3986 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) A4))) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) (tptp.insert9069300056098147895at_nat A B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4)))))
% 16.06/16.27 (assume a3987 (forall ((A tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4))) (= (tptp.inf_inf_set_complex A4 (tptp.insert_complex A B4)) (tptp.inf_inf_set_complex A4 B4)))))
% 16.06/16.27 (assume a3988 (forall ((A tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4))) (= (tptp.inf_inf_set_real A4 (tptp.insert_real A B4)) (tptp.inf_inf_set_real A4 B4)))))
% 16.06/16.27 (assume a3989 (forall ((A tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4))) (= (tptp.inf_inf_set_bool A4 (tptp.insert_bool A B4)) (tptp.inf_inf_set_bool A4 B4)))))
% 16.06/16.27 (assume a3990 (forall ((A tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4))) (= (tptp.inf_inf_set_int A4 (tptp.insert_int A B4)) (tptp.inf_inf_set_int A4 B4)))))
% 16.06/16.27 (assume a3991 (forall ((A tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.insert_nat A B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)))))
% 16.06/16.27 (assume a3992 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4))) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.insert8211810215607154385at_nat A B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)))))
% 16.06/16.27 (assume a3993 (forall ((A tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.inf_inf_set_int (tptp.insert_int A A4) (tptp.insert_int A B4)) (tptp.insert_int A (tptp.inf_inf_set_int A4 B4)))))
% 16.06/16.27 (assume a3994 (forall ((A tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.inf_inf_set_bool (tptp.insert_bool A A4) (tptp.insert_bool A B4)) (tptp.insert_bool A (tptp.inf_inf_set_bool A4 B4)))))
% 16.06/16.27 (assume a3995 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.insert9069300056098147895at_nat A A4)) (tptp.insert9069300056098147895at_nat A B4)) (tptp.insert9069300056098147895at_nat A (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4)))))
% 16.06/16.27 (assume a3996 (forall ((A tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.insert_nat A A4)) (tptp.insert_nat A B4)) (tptp.insert_nat A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)))))
% 16.06/16.27 (assume a3997 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.insert8211810215607154385at_nat A A4)) (tptp.insert8211810215607154385at_nat A B4)) (tptp.insert8211810215607154385at_nat A (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)))))
% 16.06/16.27 (assume a3998 (forall ((A tptp.produc3843707927480180839at_nat) (C2 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) C2)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.insert9069300056098147895at_nat A B4)) C2) (tptp.insert9069300056098147895at_nat A (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat B4) C2))))))
% 16.06/16.27 (assume a3999 (forall ((A tptp.complex) (C2 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) C2)) (= (tptp.inf_inf_set_complex (tptp.insert_complex A B4) C2) (tptp.insert_complex A (tptp.inf_inf_set_complex B4 C2))))))
% 16.06/16.27 (assume a4000 (forall ((A tptp.real) (C2 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) C2)) (= (tptp.inf_inf_set_real (tptp.insert_real A B4) C2) (tptp.insert_real A (tptp.inf_inf_set_real B4 C2))))))
% 16.06/16.27 (assume a4001 (forall ((A tptp.bool) (C2 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) C2)) (= (tptp.inf_inf_set_bool (tptp.insert_bool A B4) C2) (tptp.insert_bool A (tptp.inf_inf_set_bool B4 C2))))))
% 16.06/16.27 (assume a4002 (forall ((A tptp.int) (C2 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) C2)) (= (tptp.inf_inf_set_int (tptp.insert_int A B4) C2) (tptp.insert_int A (tptp.inf_inf_set_int B4 C2))))))
% 16.06/16.27 (assume a4003 (forall ((A tptp.nat) (C2 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) C2)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.insert_nat A B4)) C2) (tptp.insert_nat A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) C2))))))
% 16.06/16.27 (assume a4004 (forall ((A tptp.product_prod_nat_nat) (C2 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) C2)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.insert8211810215607154385at_nat A B4)) C2) (tptp.insert8211810215607154385at_nat A (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) C2))))))
% 16.06/16.27 (assume a4005 (forall ((A tptp.produc3843707927480180839at_nat) (C2 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) C2))) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.insert9069300056098147895at_nat A B4)) C2) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat B4) C2)))))
% 16.06/16.27 (assume a4006 (forall ((A tptp.complex) (C2 tptp.set_complex) (B4 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) C2))) (= (tptp.inf_inf_set_complex (tptp.insert_complex A B4) C2) (tptp.inf_inf_set_complex B4 C2)))))
% 16.06/16.27 (assume a4007 (forall ((A tptp.real) (C2 tptp.set_real) (B4 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) C2))) (= (tptp.inf_inf_set_real (tptp.insert_real A B4) C2) (tptp.inf_inf_set_real B4 C2)))))
% 16.06/16.27 (assume a4008 (forall ((A tptp.bool) (C2 tptp.set_bool) (B4 tptp.set_bool)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) C2))) (= (tptp.inf_inf_set_bool (tptp.insert_bool A B4) C2) (tptp.inf_inf_set_bool B4 C2)))))
% 16.06/16.27 (assume a4009 (forall ((A tptp.int) (C2 tptp.set_int) (B4 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) C2))) (= (tptp.inf_inf_set_int (tptp.insert_int A B4) C2) (tptp.inf_inf_set_int B4 C2)))))
% 16.06/16.27 (assume a4010 (forall ((A tptp.nat) (C2 tptp.set_nat) (B4 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) C2))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.insert_nat A B4)) C2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) C2)))))
% 16.06/16.27 (assume a4011 (forall ((A tptp.product_prod_nat_nat) (C2 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) C2))) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.insert8211810215607154385at_nat A B4)) C2) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) C2)))))
% 16.06/16.27 (assume a4012 (forall ((T3 tptp.set_Pr1261947904930325089at_nat) (S3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat T3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat S3) T3)) T3)))
% 16.06/16.27 (assume a4013 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat T3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat S3) T3)) T3)))
% 16.06/16.27 (assume a4014 (forall ((T3 tptp.set_Pr4329608150637261639at_nat) (S3 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat T3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat S3) T3)) T3)))
% 16.06/16.27 (assume a4015 (forall ((S3 tptp.set_Pr1261947904930325089at_nat) (T3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat S3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat S3) T3)) S3)))
% 16.06/16.27 (assume a4016 (forall ((S3 tptp.set_nat) (T3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat S3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat S3) T3)) S3)))
% 16.06/16.27 (assume a4017 (forall ((S3 tptp.set_Pr4329608150637261639at_nat) (T3 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat S3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat S3) T3)) S3)))
% 16.06/16.27 (assume a4018 (forall ((S3 tptp.set_Pr1261947904930325089at_nat) (T3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat S3) T3)) T3) T3)))
% 16.06/16.27 (assume a4019 (forall ((S3 tptp.set_nat) (T3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat S3) T3)) T3) T3)))
% 16.06/16.27 (assume a4020 (forall ((S3 tptp.set_Pr4329608150637261639at_nat) (T3 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat S3) T3)) T3) T3)))
% 16.06/16.27 (assume a4021 (forall ((S3 tptp.set_Pr1261947904930325089at_nat) (T3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat S3) T3)) S3) S3)))
% 16.06/16.27 (assume a4022 (forall ((S3 tptp.set_nat) (T3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat S3) T3)) S3) S3)))
% 16.06/16.27 (assume a4023 (forall ((S3 tptp.set_Pr4329608150637261639at_nat) (T3 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat S3) T3)) S3) S3)))
% 16.06/16.27 (assume a4024 (forall ((T3 tptp.set_Pr1261947904930325089at_nat) (S3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat T3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat S3) T3)) T3)))
% 16.06/16.27 (assume a4025 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat T3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat S3) T3)) T3)))
% 16.06/16.27 (assume a4026 (forall ((T3 tptp.set_Pr4329608150637261639at_nat) (S3 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat T3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat S3) T3)) T3)))
% 16.06/16.27 (assume a4027 (forall ((S3 tptp.set_Pr1261947904930325089at_nat) (T3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat S3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat S3) T3)) S3)))
% 16.06/16.27 (assume a4028 (forall ((S3 tptp.set_nat) (T3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat S3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat S3) T3)) S3)))
% 16.06/16.27 (assume a4029 (forall ((S3 tptp.set_Pr4329608150637261639at_nat) (T3 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat S3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat S3) T3)) S3)))
% 16.06/16.27 (assume a4030 (forall ((S3 tptp.set_Pr1261947904930325089at_nat) (T3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat S3) T3)) T3) T3)))
% 16.06/16.27 (assume a4031 (forall ((S3 tptp.set_nat) (T3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat S3) T3)) T3) T3)))
% 16.06/16.27 (assume a4032 (forall ((S3 tptp.set_Pr4329608150637261639at_nat) (T3 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat S3) T3)) T3) T3)))
% 16.06/16.27 (assume a4033 (forall ((S3 tptp.set_Pr1261947904930325089at_nat) (T3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat S3) T3)) S3) S3)))
% 16.06/16.27 (assume a4034 (forall ((S3 tptp.set_nat) (T3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat S3) T3)) S3) S3)))
% 16.06/16.27 (assume a4035 (forall ((S3 tptp.set_Pr4329608150637261639at_nat) (T3 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat S3) T3)) S3) S3)))
% 16.06/16.27 (assume a4036 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.insert9069300056098147895at_nat A A4)) B4) tptp.bot_bo228742789529271731at_nat) (and (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) B4))) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4) tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.27 (assume a4037 (forall ((A tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (= (= (tptp.inf_inf_set_complex (tptp.insert_complex A A4) B4) tptp.bot_bot_set_complex) (and (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) B4))) (= (tptp.inf_inf_set_complex A4 B4) tptp.bot_bot_set_complex)))))
% 16.06/16.27 (assume a4038 (forall ((A tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (= (= (tptp.inf_inf_set_real (tptp.insert_real A A4) B4) tptp.bot_bot_set_real) (and (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) B4))) (= (tptp.inf_inf_set_real A4 B4) tptp.bot_bot_set_real)))))
% 16.06/16.27 (assume a4039 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.insert8211810215607154385at_nat A A4)) B4) tptp.bot_bo2099793752762293965at_nat) (and (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) B4))) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4) tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.27 (assume a4040 (forall ((A tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (= (= (tptp.inf_inf_set_bool (tptp.insert_bool A A4) B4) tptp.bot_bot_set_bool) (and (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) B4))) (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool)))))
% 16.06/16.27 (assume a4041 (forall ((A tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.insert_nat A A4)) B4) tptp.bot_bot_set_nat) (and (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) B4))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) tptp.bot_bot_set_nat)))))
% 16.06/16.27 (assume a4042 (forall ((A tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (= (= (tptp.inf_inf_set_int (tptp.insert_int A A4) B4) tptp.bot_bot_set_int) (and (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) B4))) (= (tptp.inf_inf_set_int A4 B4) tptp.bot_bot_set_int)))))
% 16.06/16.27 (assume a4043 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (= tptp.bot_bo228742789529271731at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.insert9069300056098147895at_nat A A4)) B4)) (and (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) B4))) (= tptp.bot_bo228742789529271731at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4))))))
% 16.06/16.27 (assume a4044 (forall ((A tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (= (= tptp.bot_bot_set_complex (tptp.inf_inf_set_complex (tptp.insert_complex A A4) B4)) (and (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) B4))) (= tptp.bot_bot_set_complex (tptp.inf_inf_set_complex A4 B4))))))
% 16.06/16.27 (assume a4045 (forall ((A tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (= (= tptp.bot_bot_set_real (tptp.inf_inf_set_real (tptp.insert_real A A4) B4)) (and (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) B4))) (= tptp.bot_bot_set_real (tptp.inf_inf_set_real A4 B4))))))
% 16.06/16.27 (assume a4046 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (= tptp.bot_bo2099793752762293965at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.insert8211810215607154385at_nat A A4)) B4)) (and (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) B4))) (= tptp.bot_bo2099793752762293965at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))))))
% 16.06/16.27 (assume a4047 (forall ((A tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (= (= tptp.bot_bot_set_bool (tptp.inf_inf_set_bool (tptp.insert_bool A A4) B4)) (and (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) B4))) (= tptp.bot_bot_set_bool (tptp.inf_inf_set_bool A4 B4))))))
% 16.06/16.27 (assume a4048 (forall ((A tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (= (= tptp.bot_bot_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.insert_nat A A4)) B4)) (and (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) B4))) (= tptp.bot_bot_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))))
% 16.06/16.27 (assume a4049 (forall ((A tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (= (= tptp.bot_bot_set_int (tptp.inf_inf_set_int (tptp.insert_int A A4) B4)) (and (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) B4))) (= tptp.bot_bot_set_int (tptp.inf_inf_set_int A4 B4))))))
% 16.06/16.27 (assume a4050 (forall ((B4 tptp.set_Pr4329608150637261639at_nat) (A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat B4) (tptp.insert9069300056098147895at_nat A A4)) tptp.bot_bo228742789529271731at_nat) (and (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) B4))) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat B4) A4) tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.27 (assume a4051 (forall ((B4 tptp.set_complex) (A tptp.complex) (A4 tptp.set_complex)) (= (= (tptp.inf_inf_set_complex B4 (tptp.insert_complex A A4)) tptp.bot_bot_set_complex) (and (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) B4))) (= (tptp.inf_inf_set_complex B4 A4) tptp.bot_bot_set_complex)))))
% 16.06/16.27 (assume a4052 (forall ((B4 tptp.set_real) (A tptp.real) (A4 tptp.set_real)) (= (= (tptp.inf_inf_set_real B4 (tptp.insert_real A A4)) tptp.bot_bot_set_real) (and (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) B4))) (= (tptp.inf_inf_set_real B4 A4) tptp.bot_bot_set_real)))))
% 16.06/16.27 (assume a4053 (forall ((B4 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) (tptp.insert8211810215607154385at_nat A A4)) tptp.bot_bo2099793752762293965at_nat) (and (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) B4))) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) A4) tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.27 (assume a4054 (forall ((B4 tptp.set_bool) (A tptp.bool) (A4 tptp.set_bool)) (= (= (tptp.inf_inf_set_bool B4 (tptp.insert_bool A A4)) tptp.bot_bot_set_bool) (and (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) B4))) (= (tptp.inf_inf_set_bool B4 A4) tptp.bot_bot_set_bool)))))
% 16.06/16.27 (assume a4055 (forall ((B4 tptp.set_nat) (A tptp.nat) (A4 tptp.set_nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) (tptp.insert_nat A A4)) tptp.bot_bot_set_nat) (and (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) B4))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) A4) tptp.bot_bot_set_nat)))))
% 16.06/16.27 (assume a4056 (forall ((B4 tptp.set_int) (A tptp.int) (A4 tptp.set_int)) (= (= (tptp.inf_inf_set_int B4 (tptp.insert_int A A4)) tptp.bot_bot_set_int) (and (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) B4))) (= (tptp.inf_inf_set_int B4 A4) tptp.bot_bot_set_int)))))
% 16.06/16.27 (assume a4057 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (= tptp.bot_bo228742789529271731at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) (tptp.insert9069300056098147895at_nat B B4))) (and (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat B) A4))) (= tptp.bot_bo228742789529271731at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4))))))
% 16.06/16.27 (assume a4058 (forall ((A4 tptp.set_complex) (B tptp.complex) (B4 tptp.set_complex)) (= (= tptp.bot_bot_set_complex (tptp.inf_inf_set_complex A4 (tptp.insert_complex B B4))) (and (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B) A4))) (= tptp.bot_bot_set_complex (tptp.inf_inf_set_complex A4 B4))))))
% 16.06/16.27 (assume a4059 (forall ((A4 tptp.set_real) (B tptp.real) (B4 tptp.set_real)) (= (= tptp.bot_bot_set_real (tptp.inf_inf_set_real A4 (tptp.insert_real B B4))) (and (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) A4))) (= tptp.bot_bot_set_real (tptp.inf_inf_set_real A4 B4))))))
% 16.06/16.27 (assume a4060 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (= tptp.bot_bo2099793752762293965at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.insert8211810215607154385at_nat B B4))) (and (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat B) A4))) (= tptp.bot_bo2099793752762293965at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))))))
% 16.06/16.27 (assume a4061 (forall ((A4 tptp.set_bool) (B tptp.bool) (B4 tptp.set_bool)) (= (= tptp.bot_bot_set_bool (tptp.inf_inf_set_bool A4 (tptp.insert_bool B B4))) (and (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B) A4))) (= tptp.bot_bot_set_bool (tptp.inf_inf_set_bool A4 B4))))))
% 16.06/16.27 (assume a4062 (forall ((A4 tptp.set_nat) (B tptp.nat) (B4 tptp.set_nat)) (= (= tptp.bot_bot_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.insert_nat B B4))) (and (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B) A4))) (= tptp.bot_bot_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))))
% 16.06/16.27 (assume a4063 (forall ((A4 tptp.set_int) (B tptp.int) (B4 tptp.set_int)) (= (= tptp.bot_bot_set_int (tptp.inf_inf_set_int A4 (tptp.insert_int B B4))) (and (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) A4))) (= tptp.bot_bot_set_int (tptp.inf_inf_set_int A4 B4))))))
% 16.06/16.27 (assume a4064 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat B4) A4)) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.27 (assume a4065 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.inf_inf_set_bool A4 (tptp.minus_minus_set_bool B4 A4)) tptp.bot_bot_set_bool)))
% 16.06/16.27 (assume a4066 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.inf_inf_set_int A4 (tptp.minus_minus_set_int B4 A4)) tptp.bot_bot_set_int)))
% 16.06/16.27 (assume a4067 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)) tptp.bot_bot_set_nat)))
% 16.06/16.27 (assume a4068 (forall ((P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (= (tptp.collect_complex (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_dq P) Q)) (tptp.inf_inf_set_complex (tptp.collect_complex P) (tptp.collect_complex Q)))))
% 16.06/16.27 (assume a4069 (forall ((P tptp.fun_set_nat_bool) (Q tptp.fun_set_nat_bool)) (= (tptp.collect_set_nat (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_dr P) Q)) (tptp.inf_inf_set_set_nat (tptp.collect_set_nat P) (tptp.collect_set_nat Q)))))
% 16.06/16.27 (assume a4070 (forall ((P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (= (tptp.collect_list_nat (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_ds P) Q)) (tptp.inf_inf_set_list_nat (tptp.collect_list_nat P) (tptp.collect_list_nat Q)))))
% 16.06/16.27 (assume a4071 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (= (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_dt P) Q)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.collect_nat P)) (tptp.collect_nat Q)))))
% 16.06/16.27 (assume a4072 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (Q tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.collec3392354462482085612at_nat (tptp.aa_fun830836278467416944t_bool (tptp.aTP_Lamm_du P) Q)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.collec3392354462482085612at_nat P)) (tptp.collec3392354462482085612at_nat Q)))))
% 16.06/16.27 (assume a4073 (forall ((X3 tptp.real) (A4 tptp.set_real) (P tptp.fun_real_bool)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) (tptp.inf_inf_set_real A4 (tptp.collect_real P)))) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (tptp.pp (tptp.aa_real_bool P X3))))))
% 16.06/16.27 (assume a4074 (forall ((X3 tptp.bool) (A4 tptp.set_bool) (P tptp.fun_bool_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) (tptp.inf_inf_set_bool A4 (tptp.collect_bool P)))) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (tptp.pp (tptp.aa_bool_bool P X3))))))
% 16.06/16.27 (assume a4075 (forall ((X3 tptp.int) (A4 tptp.set_int) (P tptp.fun_int_bool)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.inf_inf_set_int A4 (tptp.collect_int P)))) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)) (tptp.pp (tptp.aa_int_bool P X3))))))
% 16.06/16.27 (assume a4076 (forall ((X3 tptp.complex) (A4 tptp.set_complex) (P tptp.fun_complex_bool)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) (tptp.inf_inf_set_complex A4 (tptp.collect_complex P)))) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (tptp.pp (tptp.aa_complex_bool P X3))))))
% 16.06/16.27 (assume a4077 (forall ((X3 tptp.set_nat) (A4 tptp.set_set_nat) (P tptp.fun_set_nat_bool)) (= (tptp.member_set_nat X3 (tptp.inf_inf_set_set_nat A4 (tptp.collect_set_nat P))) (and (tptp.member_set_nat X3 A4) (tptp.pp (tptp.aa_set_nat_bool P X3))))))
% 16.06/16.27 (assume a4078 (forall ((X3 tptp.list_nat) (A4 tptp.set_list_nat) (P tptp.fun_list_nat_bool)) (= (tptp.member_list_nat X3 (tptp.inf_inf_set_list_nat A4 (tptp.collect_list_nat P))) (and (tptp.member_list_nat X3 A4) (tptp.pp (tptp.aa_list_nat_bool P X3))))))
% 16.06/16.27 (assume a4079 (forall ((X3 tptp.nat) (A4 tptp.set_nat) (P tptp.fun_nat_bool)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.collect_nat P)))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4)) (tptp.pp (tptp.aa_nat_bool P X3))))))
% 16.06/16.27 (assume a4080 (forall ((X3 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.collec3392354462482085612at_nat P)))) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) A4)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P X3))))))
% 16.06/16.27 (assume a4081 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.inf_inf_set_real A4 B4) (tptp.collect_real (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_dv A4) B4)))))
% 16.06/16.27 (assume a4082 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.inf_inf_set_bool A4 B4) (tptp.collect_bool (tptp.aa_set6670506438128111678l_bool (tptp.aTP_Lamm_dw A4) B4)))))
% 16.06/16.27 (assume a4083 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.inf_inf_set_int A4 B4) (tptp.collect_int (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_dx A4) B4)))))
% 16.06/16.27 (assume a4084 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.inf_inf_set_complex A4 B4) (tptp.collect_complex (tptp.aa_set3741564773079358752x_bool (tptp.aTP_Lamm_dy A4) B4)))))
% 16.06/16.27 (assume a4085 (forall ((A4 tptp.set_set_nat) (B4 tptp.set_set_nat)) (= (tptp.inf_inf_set_set_nat A4 B4) (tptp.collect_set_nat (tptp.aa_set9121396911425987952t_bool (tptp.aTP_Lamm_dz A4) B4)))))
% 16.06/16.27 (assume a4086 (forall ((A4 tptp.set_list_nat) (B4 tptp.set_list_nat)) (= (tptp.inf_inf_set_list_nat A4 B4) (tptp.collect_list_nat (tptp.aa_set257547205302447420t_bool (tptp.aTP_Lamm_ea A4) B4)))))
% 16.06/16.27 (assume a4087 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) (tptp.collect_nat (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_eb A4) B4)))))
% 16.06/16.27 (assume a4088 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4) (tptp.collec3392354462482085612at_nat (tptp.aa_set5223363028666124222t_bool (tptp.aTP_Lamm_ec A4) B4)))))
% 16.06/16.27 (assume a4089 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.inf_inf_set_complex A4 B4))) (not (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4))))))))
% 16.06/16.27 (assume a4090 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.inf_inf_set_real A4 B4))) (not (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4))))))))
% 16.06/16.27 (assume a4091 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.inf_inf_set_bool A4 B4))) (not (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4))))))))
% 16.06/16.27 (assume a4092 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.inf_inf_set_int A4 B4))) (not (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4))))))))
% 16.06/16.27 (assume a4093 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (not (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4))))))))
% 16.06/16.27 (assume a4094 (forall ((C tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))) (not (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) A4)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) B4))))))))
% 16.06/16.27 (assume a4095 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.inf_inf_set_complex A4 B4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4)))))
% 16.06/16.27 (assume a4096 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.inf_inf_set_real A4 B4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4)))))
% 16.06/16.27 (assume a4097 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.inf_inf_set_bool A4 B4))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4)))))
% 16.06/16.27 (assume a4098 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.inf_inf_set_int A4 B4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4)))))
% 16.06/16.27 (assume a4099 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4)))))
% 16.06/16.27 (assume a4100 (forall ((C tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) A4)))))
% 16.06/16.27 (assume a4101 (forall ((C tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.inf_inf_set_complex A4 B4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) B4)))))
% 16.06/16.27 (assume a4102 (forall ((C tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.inf_inf_set_real A4 B4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) B4)))))
% 16.06/16.27 (assume a4103 (forall ((C tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.inf_inf_set_bool A4 B4))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) B4)))))
% 16.06/16.27 (assume a4104 (forall ((C tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.inf_inf_set_int A4 B4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) B4)))))
% 16.06/16.27 (assume a4105 (forall ((C tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) B4)))))
% 16.06/16.27 (assume a4106 (forall ((C tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat C) B4)))))
% 16.06/16.27 (assume a4107 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) C2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) C2)))))
% 16.06/16.27 (assume a4108 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) C2) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) C2)))))
% 16.06/16.27 (assume a4109 (forall ((A4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) A4) A4)))
% 16.06/16.27 (assume a4110 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) A4) A4)))
% 16.06/16.27 (assume a4111 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) A4))))
% 16.06/16.27 (assume a4112 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) A4))))
% 16.06/16.27 (assume a4113 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))
% 16.06/16.27 (assume a4114 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))))
% 16.06/16.27 (assume a4115 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) C2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) C2)))))
% 16.06/16.27 (assume a4116 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) C2)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) C2)))))
% 16.06/16.27 (assume a4117 (forall ((B tptp.set_Pr1261947904930325089at_nat) (C tptp.set_Pr1261947904930325089at_nat) (A tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat B) C)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B)) C)))))
% 16.06/16.27 (assume a4118 (forall ((B tptp.set_nat) (C tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) C)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B)) C)))))
% 16.06/16.27 (assume a4119 (forall ((B tptp.rat) (C tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B)) C)))))
% 16.06/16.27 (assume a4120 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B)) C)))))
% 16.06/16.27 (assume a4121 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B)) C)))))
% 16.06/16.27 (assume a4122 (forall ((A tptp.set_Pr1261947904930325089at_nat) (C tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) C)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B)) C)))))
% 16.06/16.27 (assume a4123 (forall ((A tptp.set_nat) (C tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) C)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B)) C)))))
% 16.06/16.27 (assume a4124 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B)) C)))))
% 16.06/16.27 (assume a4125 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B)) C)))))
% 16.06/16.27 (assume a4126 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B)) C)))))
% 16.06/16.27 (assume a4127 (forall ((B tptp.set_Pr1261947904930325089at_nat) (A tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat B) A)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B) B))))
% 16.06/16.27 (assume a4128 (forall ((B tptp.set_nat) (A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B) B))))
% 16.06/16.27 (assume a4129 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B) B))))
% 16.06/16.27 (assume a4130 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B) B))))
% 16.06/16.27 (assume a4131 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B) B))))
% 16.06/16.27 (assume a4132 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) B)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B) A))))
% 16.06/16.27 (assume a4133 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B) A))))
% 16.06/16.27 (assume a4134 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B) A))))
% 16.06/16.27 (assume a4135 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B) A))))
% 16.06/16.27 (assume a4136 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B) A))))
% 16.06/16.27 (assume a4137 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B)) B))))
% 16.06/16.27 (assume a4138 (forall ((A tptp.set_nat) (B tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B)) B))))
% 16.06/16.27 (assume a4139 (forall ((A tptp.rat) (B tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B)) B))))
% 16.06/16.27 (assume a4140 (forall ((A tptp.nat) (B tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B)) B))))
% 16.06/16.27 (assume a4141 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B)) B))))
% 16.06/16.27 (assume a4142 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B)) A))))
% 16.06/16.27 (assume a4143 (forall ((A tptp.set_nat) (B tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B)) A))))
% 16.06/16.27 (assume a4144 (forall ((A tptp.rat) (B tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B)) A))))
% 16.06/16.27 (assume a4145 (forall ((A tptp.nat) (B tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B)) A))))
% 16.06/16.27 (assume a4146 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B)) A))))
% 16.06/16.27 (assume a4147 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) B)) (= A (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B)))))
% 16.06/16.27 (assume a4148 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (= A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B)))))
% 16.06/16.27 (assume a4149 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B)))))
% 16.06/16.27 (assume a4150 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B)))))
% 16.06/16.27 (assume a4151 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B)))))
% 16.06/16.27 (assume a4152 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat) (Z tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) Y)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) Z)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat Y) Z)))))))
% 16.06/16.27 (assume a4153 (forall ((X3 tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Z)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat Y) Z)))))))
% 16.06/16.27 (assume a4154 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat Y) Z)))))))
% 16.06/16.27 (assume a4155 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat Y) Z)))))))
% 16.06/16.27 (assume a4156 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int Y) Z)))))))
% 16.06/16.27 (assume a4157 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (C tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) B)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) C)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B) C)))))))
% 16.06/16.27 (assume a4158 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) C)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B) C)))))))
% 16.06/16.27 (assume a4159 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat B) C)))))))
% 16.06/16.27 (assume a4160 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat B) C)))))))
% 16.06/16.27 (assume a4161 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int B) C)))))))
% 16.06/16.27 (assume a4162 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (C tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B) C))) (not (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) B)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) C))))))))
% 16.06/16.27 (assume a4163 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B) C))) (not (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) C))))))))
% 16.06/16.27 (assume a4164 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat B) C))) (not (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C))))))))
% 16.06/16.27 (assume a4165 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat B) C))) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C))))))))
% 16.06/16.27 (assume a4166 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int B) C))) (not (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C))))))))
% 16.06/16.27 (assume a4167 (forall ((Y tptp.set_Pr1261947904930325089at_nat) (X3 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat Y) X3)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Y) Y))))
% 16.06/16.27 (assume a4168 (forall ((Y tptp.set_nat) (X3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X3)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Y) Y))))
% 16.06/16.27 (assume a4169 (forall ((Y tptp.rat) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat X3) Y) Y))))
% 16.06/16.27 (assume a4170 (forall ((Y tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat X3) Y) Y))))
% 16.06/16.27 (assume a4171 (forall ((Y tptp.int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X3)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int X3) Y) Y))))
% 16.06/16.27 (assume a4172 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) Y)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Y) X3))))
% 16.06/16.27 (assume a4173 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Y) X3))))
% 16.06/16.27 (assume a4174 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat X3) Y) X3))))
% 16.06/16.27 (assume a4175 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat X3) Y) X3))))
% 16.06/16.27 (assume a4176 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int X3) Y) X3))))
% 16.06/16.27 (assume a4177 (forall ((B tptp.set_Pr1261947904930325089at_nat) (A tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat B) A)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B) B))))
% 16.06/16.27 (assume a4178 (forall ((B tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) A)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B) B))))
% 16.06/16.27 (assume a4179 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B) B))))
% 16.06/16.27 (assume a4180 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B) B))))
% 16.06/16.27 (assume a4181 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B) B))))
% 16.06/16.27 (assume a4182 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) B)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B) A))))
% 16.06/16.27 (assume a4183 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B) A))))
% 16.06/16.27 (assume a4184 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B) A))))
% 16.06/16.27 (assume a4185 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B) A))))
% 16.06/16.27 (assume a4186 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B) A))))
% 16.06/16.27 (assume a4187 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) Y)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Y) X3))))
% 16.06/16.27 (assume a4188 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Y) X3))))
% 16.06/16.27 (assume a4189 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat X3) Y) X3))))
% 16.06/16.27 (assume a4190 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat X3) Y) X3))))
% 16.06/16.27 (assume a4191 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int X3) Y) X3))))
% 16.06/16.27 (assume a4192 (forall ((F tptp.fun_se3560235952666129655at_nat) (X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X5 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat F X5) Y3)) X5))) (=> (forall ((X5 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat F X5) Y3)) Y3))) (=> (forall ((X5 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (Z2 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X5) Y3)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X5) Z2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X5) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat F Y3) Z2)))))) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Y) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat F X3) Y)))))))
% 16.06/16.27 (assume a4193 (forall ((F tptp.fun_se1909708154429037836et_nat) (X3 tptp.set_nat) (Y tptp.set_nat)) (=> (forall ((X5 tptp.set_nat) (Y3 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat F X5) Y3)) X5))) (=> (forall ((X5 tptp.set_nat) (Y3 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat F X5) Y3)) Y3))) (=> (forall ((X5 tptp.set_nat) (Y3 tptp.set_nat) (Z2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X5) Y3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X5) Z2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat F Y3) Z2)))))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Y) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat F X3) Y)))))))
% 16.06/16.27 (assume a4194 (forall ((F tptp.fun_rat_fun_rat_rat) (X3 tptp.rat) (Y tptp.rat)) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat F X5) Y3)) X5))) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat F X5) Y3)) Y3))) (=> (forall ((X5 tptp.rat) (Y3 tptp.rat) (Z2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Y3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Z2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat F Y3) Z2)))))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat X3) Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat F X3) Y)))))))
% 16.06/16.27 (assume a4195 (forall ((F tptp.fun_nat_fun_nat_nat) (X3 tptp.nat) (Y tptp.nat)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F X5) Y3)) X5))) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F X5) Y3)) Y3))) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat) (Z2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Y3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Z2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F Y3) Z2)))))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat X3) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F X3) Y)))))))
% 16.06/16.27 (assume a4196 (forall ((F tptp.fun_int_fun_int_int) (X3 tptp.int) (Y tptp.int)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int F X5) Y3)) X5))) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int F X5) Y3)) Y3))) (=> (forall ((X5 tptp.int) (Y3 tptp.int) (Z2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X5) Y3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X5) Z2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X5) (tptp.aa_int_int (tptp.aa_int_fun_int_int F Y3) Z2)))))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int X3) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int F X3) Y)))))))
% 16.06/16.27 (assume a4197 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (= A (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) B)))))
% 16.06/16.27 (assume a4198 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (= A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)))))
% 16.06/16.27 (assume a4199 (forall ((A tptp.rat) (B tptp.rat)) (=> (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 16.06/16.27 (assume a4200 (forall ((A tptp.nat) (B tptp.nat)) (=> (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)))))
% 16.06/16.27 (assume a4201 (forall ((A tptp.int) (B tptp.int)) (=> (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 16.06/16.27 (assume a4202 (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) B)) (= A (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B)))))
% 16.06/16.27 (assume a4203 (forall ((A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B)) (= A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B)))))
% 16.06/16.27 (assume a4204 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B)))))
% 16.06/16.27 (assume a4205 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B)))))
% 16.06/16.27 (assume a4206 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B)))))
% 16.06/16.27 (assume a4207 (forall ((B tptp.set_Pr1261947904930325089at_nat) (X3 tptp.set_Pr1261947904930325089at_nat) (A tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat B) X3)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B)) X3)))))
% 16.06/16.27 (assume a4208 (forall ((B tptp.set_nat) (X3 tptp.set_nat) (A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) X3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B)) X3)))))
% 16.06/16.27 (assume a4209 (forall ((B tptp.rat) (X3 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B)) X3)))))
% 16.06/16.27 (assume a4210 (forall ((B tptp.nat) (X3 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B)) X3)))))
% 16.06/16.27 (assume a4211 (forall ((B tptp.int) (X3 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) X3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B)) X3)))))
% 16.06/16.27 (assume a4212 (forall ((A tptp.set_Pr1261947904930325089at_nat) (X3 tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) X3)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B)) X3)))))
% 16.06/16.27 (assume a4213 (forall ((A tptp.set_nat) (X3 tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) X3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B)) X3)))))
% 16.06/16.27 (assume a4214 (forall ((A tptp.rat) (X3 tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B)) X3)))))
% 16.06/16.27 (assume a4215 (forall ((A tptp.nat) (X3 tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B)) X3)))))
% 16.06/16.27 (assume a4216 (forall ((A tptp.int) (X3 tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) X3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B)) X3)))))
% 16.06/16.27 (assume a4217 (forall ((A tptp.set_Pr1261947904930325089at_nat) (C tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (D tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A) C)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat B) D)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat C) D)))))))
% 16.06/16.27 (assume a4218 (forall ((A tptp.set_nat) (C tptp.set_nat) (B tptp.set_nat) (D tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) C)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) D)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat C) D)))))))
% 16.06/16.27 (assume a4219 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat C) D)))))))
% 16.06/16.27 (assume a4220 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat C) D)))))))
% 16.06/16.27 (assume a4221 (forall ((A tptp.int) (C tptp.int) (B tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int C) D)))))))
% 16.06/16.27 (assume a4222 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) A)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) B)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B)))))))
% 16.06/16.27 (assume a4223 (forall ((X3 tptp.set_nat) (A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) A)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) B)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B)))))))
% 16.06/16.27 (assume a4224 (forall ((X3 tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B)))))))
% 16.06/16.27 (assume a4225 (forall ((X3 tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B)))))))
% 16.06/16.27 (assume a4226 (forall ((X3 tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B)))))))
% 16.06/16.27 (assume a4227 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A) B))) (not (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) A)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) B))))))))
% 16.06/16.27 (assume a4228 (forall ((X3 tptp.set_nat) (A tptp.set_nat) (B tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A) B))) (not (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) A)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) B))))))))
% 16.06/16.27 (assume a4229 (forall ((X3 tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat A) B))) (not (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) A)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) B))))))))
% 16.06/16.27 (assume a4230 (forall ((X3 tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat A) B))) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) B))))))))
% 16.06/16.27 (assume a4231 (forall ((X3 tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int A) B))) (not (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) B))))))))
% 16.06/16.27 (assume a4232 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Y)) Y))))
% 16.06/16.27 (assume a4233 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Y)) Y))))
% 16.06/16.27 (assume a4234 (forall ((X3 tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat X3) Y)) Y))))
% 16.06/16.27 (assume a4235 (forall ((X3 tptp.nat) (Y tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat X3) Y)) Y))))
% 16.06/16.27 (assume a4236 (forall ((X3 tptp.int) (Y tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int X3) Y)) Y))))
% 16.06/16.27 (assume a4237 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Y)) X3))))
% 16.06/16.27 (assume a4238 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Y)) X3))))
% 16.06/16.27 (assume a4239 (forall ((X3 tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat X3) Y)) X3))))
% 16.06/16.27 (assume a4240 (forall ((X3 tptp.nat) (Y tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat X3) Y)) X3))))
% 16.06/16.27 (assume a4241 (forall ((X3 tptp.int) (Y tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int X3) Y)) X3))))
% 16.06/16.27 (assume a4242 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Y)) X3))))
% 16.06/16.27 (assume a4243 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Y)) X3))))
% 16.06/16.27 (assume a4244 (forall ((X3 tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat X3) Y)) X3))))
% 16.06/16.27 (assume a4245 (forall ((X3 tptp.nat) (Y tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat X3) Y)) X3))))
% 16.06/16.27 (assume a4246 (forall ((X3 tptp.int) (Y tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int X3) Y)) X3))))
% 16.06/16.27 (assume a4247 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Y)) Y))))
% 16.06/16.27 (assume a4248 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Y)) Y))))
% 16.06/16.27 (assume a4249 (forall ((X3 tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat X3) Y)) Y))))
% 16.06/16.27 (assume a4250 (forall ((X3 tptp.nat) (Y tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat X3) Y)) Y))))
% 16.06/16.27 (assume a4251 (forall ((X3 tptp.int) (Y tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int X3) Y)) Y))))
% 16.06/16.27 (assume a4252 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4) tptp.bot_bo2099793752762293965at_nat) (forall ((X4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) A4)) (forall ((Xa3 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Xa3) B4)) (not (= X4 Xa3)))))))))
% 16.06/16.27 (assume a4253 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool) (forall ((X4 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X4) A4)) (forall ((Xa3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Xa3) B4)) (= (tptp.pp X4) (not (tptp.pp Xa3))))))))))
% 16.06/16.27 (assume a4254 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) tptp.bot_bot_set_nat) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A4)) (forall ((Xa3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa3) B4)) (not (= X4 Xa3)))))))))
% 16.06/16.27 (assume a4255 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (= (tptp.inf_inf_set_int A4 B4) tptp.bot_bot_set_int) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A4)) (forall ((Xa3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa3) B4)) (not (= X4 Xa3)))))))))
% 16.06/16.27 (assume a4256 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) tptp.bot_bo2099793752762293965at_nat) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.27 (assume a4257 (forall ((A4 tptp.set_bool)) (= (tptp.inf_inf_set_bool A4 tptp.bot_bot_set_bool) tptp.bot_bot_set_bool)))
% 16.06/16.27 (assume a4258 (forall ((A4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) tptp.bot_bot_set_nat) tptp.bot_bot_set_nat)))
% 16.06/16.27 (assume a4259 (forall ((A4 tptp.set_int)) (= (tptp.inf_inf_set_int A4 tptp.bot_bot_set_int) tptp.bot_bot_set_int)))
% 16.06/16.27 (assume a4260 (forall ((B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat tptp.bot_bo2099793752762293965at_nat) B4) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.27 (assume a4261 (forall ((B4 tptp.set_bool)) (= (tptp.inf_inf_set_bool tptp.bot_bot_set_bool B4) tptp.bot_bot_set_bool)))
% 16.06/16.27 (assume a4262 (forall ((B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat tptp.bot_bot_set_nat) B4) tptp.bot_bot_set_nat)))
% 16.06/16.27 (assume a4263 (forall ((B4 tptp.set_int)) (= (tptp.inf_inf_set_int tptp.bot_bot_set_int B4) tptp.bot_bot_set_int)))
% 16.06/16.27 (assume a4264 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (= (= (tptp.inf_inf_set_complex A4 B4) tptp.bot_bot_set_complex) (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A4)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) B4))))))))
% 16.06/16.27 (assume a4265 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (= (= (tptp.inf_inf_set_real A4 B4) tptp.bot_bot_set_real) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A4)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) B4))))))))
% 16.06/16.27 (assume a4266 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4) tptp.bot_bo2099793752762293965at_nat) (forall ((X4 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) A4)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) B4))))))))
% 16.06/16.27 (assume a4267 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool) (forall ((X4 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X4) A4)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X4) B4))))))))
% 16.06/16.27 (assume a4268 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) tptp.bot_bot_set_nat) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A4)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) B4))))))))
% 16.06/16.27 (assume a4269 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (= (tptp.inf_inf_set_int A4 B4) tptp.bot_bot_set_int) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A4)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) B4))))))))
% 16.06/16.27 (assume a4270 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) B4))))) (= (tptp.inf_inf_set_complex A4 B4) tptp.bot_bot_set_complex))))
% 16.06/16.27 (assume a4271 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) B4))))) (= (tptp.inf_inf_set_real A4 B4) tptp.bot_bot_set_real))))
% 16.06/16.27 (assume a4272 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X5 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X5) A4)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X5) B4))))) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4) tptp.bot_bo2099793752762293965at_nat))))
% 16.06/16.27 (assume a4273 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) B4))))) (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool))))
% 16.06/16.27 (assume a4274 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) B4))))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) tptp.bot_bot_set_nat))))
% 16.06/16.27 (assume a4275 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) B4))))) (= (tptp.inf_inf_set_int A4 B4) tptp.bot_bot_set_int))))
% 16.06/16.27 (assume a4276 (forall ((A4 tptp.set_real) (B4 tptp.set_real) (P tptp.fun_real_bool) (Q tptp.fun_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (=> (tptp.pp (tptp.aa_real_bool P X5)) (tptp.pp (tptp.aa_real_bool Q X5))))) (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.inf_inf_set_real A4 (tptp.collect_real P))) (tptp.inf_inf_set_real B4 (tptp.collect_real Q))))))))
% 16.06/16.27 (assume a4277 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (P tptp.fun_bool_bool) (Q tptp.fun_bool_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (=> (tptp.pp (tptp.aa_bool_bool P X5)) (tptp.pp (tptp.aa_bool_bool Q X5))))) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool (tptp.inf_inf_set_bool A4 (tptp.collect_bool P))) (tptp.inf_inf_set_bool B4 (tptp.collect_bool Q))))))))
% 16.06/16.27 (assume a4278 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (P tptp.fun_int_bool) (Q tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (=> (tptp.pp (tptp.aa_int_bool P X5)) (tptp.pp (tptp.aa_int_bool Q X5))))) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.inf_inf_set_int A4 (tptp.collect_int P))) (tptp.inf_inf_set_int B4 (tptp.collect_int Q))))))))
% 16.06/16.27 (assume a4279 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (=> (tptp.pp (tptp.aa_complex_bool P X5)) (tptp.pp (tptp.aa_complex_bool Q X5))))) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.inf_inf_set_complex A4 (tptp.collect_complex P))) (tptp.inf_inf_set_complex B4 (tptp.collect_complex Q))))))))
% 16.06/16.27 (assume a4280 (forall ((A4 tptp.set_set_nat) (B4 tptp.set_set_nat) (P tptp.fun_set_nat_bool) (Q tptp.fun_set_nat_bool)) (=> (tptp.ord_le6893508408891458716et_nat A4 B4) (=> (forall ((X5 tptp.set_nat)) (=> (tptp.member_set_nat X5 A4) (=> (tptp.pp (tptp.aa_set_nat_bool P X5)) (tptp.pp (tptp.aa_set_nat_bool Q X5))))) (tptp.ord_le6893508408891458716et_nat (tptp.inf_inf_set_set_nat A4 (tptp.collect_set_nat P)) (tptp.inf_inf_set_set_nat B4 (tptp.collect_set_nat Q)))))))
% 16.06/16.27 (assume a4281 (forall ((A4 tptp.set_list_nat) (B4 tptp.set_list_nat) (P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (=> (tptp.ord_le6045566169113846134st_nat A4 B4) (=> (forall ((X5 tptp.list_nat)) (=> (tptp.member_list_nat X5 A4) (=> (tptp.pp (tptp.aa_list_nat_bool P X5)) (tptp.pp (tptp.aa_list_nat_bool Q X5))))) (tptp.ord_le6045566169113846134st_nat (tptp.inf_inf_set_list_nat A4 (tptp.collect_list_nat P)) (tptp.inf_inf_set_list_nat B4 (tptp.collect_list_nat Q)))))))
% 16.06/16.27 (assume a4282 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_Pr7757163693017731481t_bool) (Q tptp.fun_Pr7757163693017731481t_bool)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4)) (=> (forall ((X5 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X5) A4)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P X5)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Q X5))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.collec3392354462482085612at_nat P))) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) (tptp.collec3392354462482085612at_nat Q))))))))
% 16.06/16.27 (assume a4283 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (=> (tptp.pp (tptp.aa_nat_bool P X5)) (tptp.pp (tptp.aa_nat_bool Q X5))))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.collect_nat P))) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) (tptp.collect_nat Q))))))))
% 16.06/16.27 (assume a4284 (forall ((C2 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat C2) A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat C2) B4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat C2) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)))))))
% 16.06/16.27 (assume a4285 (forall ((C2 tptp.set_nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C2) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C2) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)))))))
% 16.06/16.27 (assume a4286 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4) A4))))
% 16.06/16.27 (assume a4287 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) A4))))
% 16.06/16.27 (assume a4288 (forall ((B4 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat B4) A4)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4) B4))))
% 16.06/16.27 (assume a4289 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) B4))))
% 16.06/16.27 (assume a4290 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) B4))))
% 16.06/16.27 (assume a4291 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) B4))))
% 16.06/16.27 (assume a4292 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) A4))))
% 16.06/16.27 (assume a4293 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) A4))))
% 16.06/16.27 (assume a4294 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (D2 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) C2)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat B4) D2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat C2) D2)))))))
% 16.06/16.27 (assume a4295 (forall ((A4 tptp.set_nat) (C2 tptp.set_nat) (B4 tptp.set_nat) (D2 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) C2)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) D2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat C2) D2)))))))
% 16.06/16.27 (assume a4296 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (and (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) A4)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) (tptp.insert9069300056098147895at_nat A B4)) (tptp.insert9069300056098147895at_nat A (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4)))) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) A4))) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) (tptp.insert9069300056098147895at_nat A B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4))))))
% 16.06/16.27 (assume a4297 (forall ((A tptp.complex) (A4 tptp.set_complex) (B4 tptp.set_complex)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4)) (= (tptp.inf_inf_set_complex A4 (tptp.insert_complex A B4)) (tptp.insert_complex A (tptp.inf_inf_set_complex A4 B4)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4))) (= (tptp.inf_inf_set_complex A4 (tptp.insert_complex A B4)) (tptp.inf_inf_set_complex A4 B4))))))
% 16.06/16.27 (assume a4298 (forall ((A tptp.real) (A4 tptp.set_real) (B4 tptp.set_real)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (= (tptp.inf_inf_set_real A4 (tptp.insert_real A B4)) (tptp.insert_real A (tptp.inf_inf_set_real A4 B4)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4))) (= (tptp.inf_inf_set_real A4 (tptp.insert_real A B4)) (tptp.inf_inf_set_real A4 B4))))))
% 16.06/16.27 (assume a4299 (forall ((A tptp.bool) (A4 tptp.set_bool) (B4 tptp.set_bool)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4)) (= (tptp.inf_inf_set_bool A4 (tptp.insert_bool A B4)) (tptp.insert_bool A (tptp.inf_inf_set_bool A4 B4)))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4))) (= (tptp.inf_inf_set_bool A4 (tptp.insert_bool A B4)) (tptp.inf_inf_set_bool A4 B4))))))
% 16.06/16.27 (assume a4300 (forall ((A tptp.int) (A4 tptp.set_int) (B4 tptp.set_int)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4)) (= (tptp.inf_inf_set_int A4 (tptp.insert_int A B4)) (tptp.insert_int A (tptp.inf_inf_set_int A4 B4)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4))) (= (tptp.inf_inf_set_int A4 (tptp.insert_int A B4)) (tptp.inf_inf_set_int A4 B4))))))
% 16.06/16.27 (assume a4301 (forall ((A tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.insert_nat A B4)) (tptp.insert_nat A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.insert_nat A B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))))
% 16.06/16.27 (assume a4302 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (and (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.insert8211810215607154385at_nat A B4)) (tptp.insert8211810215607154385at_nat A (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)))) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4))) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.insert8211810215607154385at_nat A B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))))))
% 16.06/16.27 (assume a4303 (forall ((A tptp.produc3843707927480180839at_nat) (C2 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (and (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) C2)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.insert9069300056098147895at_nat A B4)) C2) (tptp.insert9069300056098147895at_nat A (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat B4) C2)))) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) C2))) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.insert9069300056098147895at_nat A B4)) C2) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat B4) C2))))))
% 16.06/16.27 (assume a4304 (forall ((A tptp.complex) (C2 tptp.set_complex) (B4 tptp.set_complex)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) C2)) (= (tptp.inf_inf_set_complex (tptp.insert_complex A B4) C2) (tptp.insert_complex A (tptp.inf_inf_set_complex B4 C2)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) C2))) (= (tptp.inf_inf_set_complex (tptp.insert_complex A B4) C2) (tptp.inf_inf_set_complex B4 C2))))))
% 16.06/16.27 (assume a4305 (forall ((A tptp.real) (C2 tptp.set_real) (B4 tptp.set_real)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) C2)) (= (tptp.inf_inf_set_real (tptp.insert_real A B4) C2) (tptp.insert_real A (tptp.inf_inf_set_real B4 C2)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) C2))) (= (tptp.inf_inf_set_real (tptp.insert_real A B4) C2) (tptp.inf_inf_set_real B4 C2))))))
% 16.06/16.27 (assume a4306 (forall ((A tptp.bool) (C2 tptp.set_bool) (B4 tptp.set_bool)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) C2)) (= (tptp.inf_inf_set_bool (tptp.insert_bool A B4) C2) (tptp.insert_bool A (tptp.inf_inf_set_bool B4 C2)))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) C2))) (= (tptp.inf_inf_set_bool (tptp.insert_bool A B4) C2) (tptp.inf_inf_set_bool B4 C2))))))
% 16.06/16.27 (assume a4307 (forall ((A tptp.int) (C2 tptp.set_int) (B4 tptp.set_int)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) C2)) (= (tptp.inf_inf_set_int (tptp.insert_int A B4) C2) (tptp.insert_int A (tptp.inf_inf_set_int B4 C2)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) C2))) (= (tptp.inf_inf_set_int (tptp.insert_int A B4) C2) (tptp.inf_inf_set_int B4 C2))))))
% 16.06/16.27 (assume a4308 (forall ((A tptp.nat) (C2 tptp.set_nat) (B4 tptp.set_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) C2)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.insert_nat A B4)) C2) (tptp.insert_nat A (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) C2)))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) C2))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.insert_nat A B4)) C2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) C2))))))
% 16.06/16.27 (assume a4309 (forall ((A tptp.product_prod_nat_nat) (C2 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (and (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) C2)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.insert8211810215607154385at_nat A B4)) C2) (tptp.insert8211810215607154385at_nat A (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) C2)))) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) C2))) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.insert8211810215607154385at_nat A B4)) C2) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) C2))))))
% 16.06/16.27 (assume a4310 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) C2))) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat C2) A4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat B4) C2))) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat C2) A4)))))
% 16.06/16.27 (assume a4311 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) C2))) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat C2) A4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) C2))) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat C2) A4)))))
% 16.06/16.27 (assume a4312 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat B4) C2))) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat C2) A4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) C2))) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat C2) A4)))))
% 16.06/16.27 (assume a4313 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat B4) C2)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) C2)))))
% 16.06/16.27 (assume a4314 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) C2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) C2)))))
% 16.06/16.27 (assume a4315 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) C2)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) C2)))))
% 16.06/16.27 (assume a4316 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) C2)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) C2)))))
% 16.06/16.27 (assume a4317 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) C2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) C2)))))
% 16.06/16.27 (assume a4318 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat B4) C2)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) C2)))))
% 16.06/16.27 (assume a4319 (forall ((B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat B4) C2)) A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) A4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat C2) A4)))))
% 16.06/16.27 (assume a4320 (forall ((B4 tptp.set_nat) (C2 tptp.set_nat) (A4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) C2)) A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) A4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat C2) A4)))))
% 16.06/16.27 (assume a4321 (forall ((B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) C2)) A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat B4) A4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat C2) A4)))))
% 16.06/16.27 (assume a4322 (forall ((B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) C2)) A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat B4) A4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat C2) A4)))))
% 16.06/16.27 (assume a4323 (forall ((B4 tptp.set_nat) (C2 tptp.set_nat) (A4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) C2)) A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) A4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat C2) A4)))))
% 16.06/16.27 (assume a4324 (forall ((B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat B4) C2)) A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) A4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat C2) A4)))))
% 16.06/16.27 (assume a4325 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) C2) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat B4) C2)))))
% 16.06/16.27 (assume a4326 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) C2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) C2)))))
% 16.06/16.27 (assume a4327 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) C2)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) C2)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) C2)) B4))))
% 16.06/16.27 (assume a4328 (forall ((A4 tptp.set_nat) (C2 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) C2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) C2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) C2)) B4))))
% 16.06/16.27 (assume a4329 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))))
% 16.06/16.27 (assume a4330 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))
% 16.06/16.27 (assume a4331 (forall ((C2 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat C2) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat C2) A4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat C2) B4)))))
% 16.06/16.27 (assume a4332 (forall ((C2 tptp.set_nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat C2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat C2) A4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat C2) B4)))))
% 16.06/16.27 (assume a4333 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)) C2) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) C2)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) C2)))))
% 16.06/16.27 (assume a4334 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) C2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) C2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) C2)))))
% 16.06/16.27 (assume a4335 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat) (Z tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat X3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat Y) Z))) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat X3) Y)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat X3) Z))))))
% 16.06/16.27 (assume a4336 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat) (Z tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat Y) Z))) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Y)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) Z))))))
% 16.06/16.27 (assume a4337 (forall ((X3 tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat Y) Z))) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Y)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) Z))))))
% 16.06/16.27 (assume a4338 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat Y) Z))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat X3) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat X3) Z))))))
% 16.06/16.27 (assume a4339 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat Y) Z))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat X3) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat X3) Z))))))
% 16.06/16.27 (assume a4340 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int Y) Z))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int X3) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int X3) Z))))))
% 16.06/16.27 (assume a4341 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat) (Z tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Y)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Z))) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat Y) Z))))))
% 16.06/16.27 (assume a4342 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat) (Z tptp.set_Pr4329608150637261639at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat X3) Y)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat X3) Z))) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat X3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat Y) Z))))))
% 16.06/16.27 (assume a4343 (forall ((X3 tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Y)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Z))) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat Y) Z))))))
% 16.06/16.27 (assume a4344 (forall ((X3 tptp.rat) (Y tptp.rat) (Z tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat X3) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat X3) Z))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.inf_inf_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.sup_sup_rat Y) Z))))))
% 16.06/16.27 (assume a4345 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat X3) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat X3) Z))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.inf_inf_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.sup_sup_nat Y) Z))))))
% 16.06/16.27 (assume a4346 (forall ((X3 tptp.int) (Y tptp.int) (Z tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int X3) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int X3) Z))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.inf_inf_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.sup_sup_int Y) Z))))))
% 16.06/16.27 (assume a4347 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4) tptp.bot_bo2099793752762293965at_nat) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4) A4))))
% 16.06/16.27 (assume a4348 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (=> (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool) (= (tptp.minus_minus_set_bool A4 B4) A4))))
% 16.06/16.27 (assume a4349 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (=> (= (tptp.inf_inf_set_int A4 B4) tptp.bot_bot_set_int) (= (tptp.minus_minus_set_int A4 B4) A4))))
% 16.06/16.27 (assume a4350 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) tptp.bot_bot_set_nat) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4) A4))))
% 16.06/16.27 (assume a4351 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.27 (assume a4352 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.inf_inf_set_bool (tptp.inf_inf_set_bool A4 B4) (tptp.minus_minus_set_bool A4 B4)) tptp.bot_bot_set_bool)))
% 16.06/16.27 (assume a4353 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.inf_inf_set_int (tptp.inf_inf_set_int A4 B4) (tptp.minus_minus_set_int A4 B4)) tptp.bot_bot_set_int)))
% 16.06/16.27 (assume a4354 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) tptp.bot_bot_set_nat)))
% 16.06/16.27 (assume a4355 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) C2) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat B4) C2))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat C2) A4)))))
% 16.06/16.27 (assume a4356 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4)) C2) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) C2))) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat C2) A4)))))
% 16.06/16.27 (assume a4357 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) C2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) C2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C2) A4)))))
% 16.06/16.27 (assume a4358 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat B4) C2)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) C2)))))
% 16.06/16.27 (assume a4359 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat B4) C2)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) C2)))))
% 16.06/16.27 (assume a4360 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat B4) C2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) C2)))))
% 16.06/16.27 (assume a4361 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (C2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat B4) C2)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) C2)))))
% 16.06/16.27 (assume a4362 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (C2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat B4) C2)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) C2)))))
% 16.06/16.27 (assume a4363 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (C2 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat B4) C2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) C2)))))
% 16.06/16.27 (assume a4364 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)) A4)))
% 16.06/16.27 (assume a4365 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) B4)) A4)))
% 16.06/16.27 (assume a4366 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) A4)))
% 16.06/16.27 (assume a4367 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) A4)))
% 16.06/16.27 (assume a4368 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4)) A4)))
% 16.06/16.27 (assume a4369 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) A4)))
% 16.06/16.27 (assume a4370 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X3) Xa2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A3 B3) Xa2)) (not (and (=> (= Xa2 tptp.zero_zero_nat) (tptp.pp A3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (and (=> (= Xa2 tptp.one_one_nat) (tptp.pp B3)) (= Xa2 tptp.one_one_nat)))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) TreeList2 Summary3) Xa2)) (not (=> (not (= Xa2 Mi2)) (=> (not (= Xa2 Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa2) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa2))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))))))
% 16.06/16.27 (assume a4371 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X3) Xa2)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf Uu Uv)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) Xa2)))))) (=> (forall ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2 Uy2)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2 Uy2) Xa2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va2 Vb2)) (=> (= (tptp.pp Y) (or (= Xa2 Mi2) (= Xa2 Ma2))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va2 Vb2) Xa2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V) TreeList2 Vc2)) (=> (= (tptp.pp Y) (or (= Xa2 Mi2) (= Xa2 Ma2) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V) TreeList2 Vc2) Xa2)))))) (not (forall ((V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList2 Vd2)) (=> (= (tptp.pp Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList2 Vd2) Xa2)))))))))))))))
% 16.06/16.27 (assume a4372 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X3) Xa2))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf Uu Uv)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) Xa2))))) (=> (forall ((Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2 Uy2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux2 Uy2) Xa2))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va2 Vb2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va2 Vb2) Xa2)) (or (= Xa2 Mi2) (= Xa2 Ma2))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V) TreeList2 Vc2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V) TreeList2 Vc2) Xa2)) (or (= Xa2 Mi2) (= Xa2 Ma2) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))))) (not (forall ((V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList2 Vd2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList2 Vd2) Xa2)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))
% 16.06/16.27 (assume a4373 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X3) Xa2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va2 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va2 Vb2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va2 Vb2) Xa2)) (not (or (= Xa2 Mi2) (= Xa2 Ma2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V) TreeList2 Vc2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V) TreeList2 Vc2) Xa2)) (not (or (= Xa2 Mi2) (= Xa2 Ma2) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))) (not (forall ((V tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList2 Vd2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList2 Vd2) Xa2)) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))))))))))))
% 16.06/16.27 (assume a4374 (forall ((A tptp.bool) (B tptp.bool) (C tptp.bool)) (= (= (tptp.set_or1454250544011482060t_bool A B) (tptp.insert_bool C tptp.bot_bot_set_bool)) (and (= (tptp.pp A) (tptp.pp B)) (= (tptp.pp B) (tptp.pp C))))))
% 16.06/16.27 (assume a4375 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B) (tptp.insert_nat C tptp.bot_bot_set_nat)) (and (= A B) (= B C)))))
% 16.06/16.27 (assume a4376 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (= (tptp.set_or1266510415728281911st_int A B) (tptp.insert_int C tptp.bot_bot_set_int)) (and (= A B) (= B C)))))
% 16.06/16.27 (assume a4377 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (= (tptp.set_or1222579329274155063t_real A B) (tptp.insert_real C tptp.bot_bot_set_real)) (and (= A B) (= B C)))))
% 16.06/16.27 (assume a4378 (forall ((A tptp.bool)) (= (tptp.set_or1454250544011482060t_bool A A) (tptp.insert_bool A tptp.bot_bot_set_bool))))
% 16.06/16.27 (assume a4379 (forall ((A tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) A) (tptp.insert_nat A tptp.bot_bot_set_nat))))
% 16.06/16.27 (assume a4380 (forall ((A tptp.int)) (= (tptp.set_or1266510415728281911st_int A A) (tptp.insert_int A tptp.bot_bot_set_int))))
% 16.06/16.27 (assume a4381 (forall ((A tptp.real)) (= (tptp.set_or1222579329274155063t_real A A) (tptp.insert_real A tptp.bot_bot_set_real))))
% 16.06/16.27 (assume a4382 (forall ((B tptp.bool) (A tptp.bool)) (=> (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_bool B) A)) (= (tptp.set_or1454250544011482060t_bool A B) tptp.bot_bot_set_bool))))
% 16.06/16.27 (assume a4383 (forall ((B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) A)) (= (tptp.set_or633870826150836451st_rat A B) tptp.bot_bot_set_rat))))
% 16.06/16.27 (assume a4384 (forall ((B tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) A)) (= (tptp.set_or7049704709247886629st_num A B) tptp.bot_bot_set_num))))
% 16.06/16.27 (assume a4385 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B) tptp.bot_bot_set_nat))))
% 16.06/16.27 (assume a4386 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) A)) (= (tptp.set_or1266510415728281911st_int A B) tptp.bot_bot_set_int))))
% 16.06/16.27 (assume a4387 (forall ((B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) A)) (= (tptp.set_or1222579329274155063t_real A B) tptp.bot_bot_set_real))))
% 16.06/16.27 (assume a4388 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat) (D tptp.set_nat)) (= (tptp.ord_le6893508408891458716et_nat (tptp.set_or4548717258645045905et_nat A B) (tptp.set_or4548717258645045905et_nat C D)) (or (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) D)))))))
% 16.06/16.27 (assume a4389 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_eq_set_rat (tptp.set_or633870826150836451st_rat A B)) (tptp.set_or633870826150836451st_rat C D))) (or (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) D)))))))
% 16.06/16.27 (assume a4390 (forall ((A tptp.num) (B tptp.num) (C tptp.num) (D tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_eq_set_num (tptp.set_or7049704709247886629st_num A B)) (tptp.set_or7049704709247886629st_num C D))) (or (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) D)))))))
% 16.06/16.27 (assume a4391 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat C) D))) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) D)))))))
% 16.06/16.27 (assume a4392 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_or1266510415728281911st_int A B)) (tptp.set_or1266510415728281911st_int C D))) (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) D)))))))
% 16.06/16.27 (assume a4393 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_or1222579329274155063t_real A B)) (tptp.set_or1222579329274155063t_real C D))) (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) D)))))))
% 16.06/16.27 (assume a4394 (forall ((A tptp.bool) (B tptp.bool)) (= (= tptp.bot_bot_set_bool (tptp.set_or1454250544011482060t_bool A B)) (not (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_eq_bool A) B))))))
% 16.06/16.27 (assume a4395 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (= tptp.bot_bot_set_set_nat (tptp.set_or4548717258645045905et_nat A B)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))))))
% 16.06/16.27 (assume a4396 (forall ((A tptp.rat) (B tptp.rat)) (= (= tptp.bot_bot_set_rat (tptp.set_or633870826150836451st_rat A B)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 16.06/16.27 (assume a4397 (forall ((A tptp.num) (B tptp.num)) (= (= tptp.bot_bot_set_num (tptp.set_or7049704709247886629st_num A B)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))))))
% 16.06/16.27 (assume a4398 (forall ((A tptp.nat) (B tptp.nat)) (= (= tptp.bot_bot_set_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))))))
% 16.06/16.27 (assume a4399 (forall ((A tptp.int) (B tptp.int)) (= (= tptp.bot_bot_set_int (tptp.set_or1266510415728281911st_int A B)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 16.06/16.27 (assume a4400 (forall ((A tptp.real) (B tptp.real)) (= (= tptp.bot_bot_set_real (tptp.set_or1222579329274155063t_real A B)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 16.06/16.27 (assume a4401 (forall ((I tptp.bool) (L tptp.bool) (U tptp.bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) (tptp.set_or1454250544011482060t_bool L U))) (and (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_eq_bool L) I)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_eq_bool I) U))))))
% 16.06/16.27 (assume a4402 (forall ((I tptp.set_nat) (L tptp.set_nat) (U tptp.set_nat)) (= (tptp.member_set_nat I (tptp.set_or4548717258645045905et_nat L U)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat L) I)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat I) U))))))
% 16.06/16.27 (assume a4403 (forall ((I tptp.rat) (L tptp.rat) (U tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat I) (tptp.set_or633870826150836451st_rat L U))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat L) I)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat I) U))))))
% 16.06/16.27 (assume a4404 (forall ((I tptp.num) (L tptp.num) (U tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.member_num I) (tptp.set_or7049704709247886629st_num L U))) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num L) I)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num I) U))))))
% 16.06/16.27 (assume a4405 (forall ((I tptp.nat) (L tptp.nat) (U tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat L) I)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) U))))))
% 16.06/16.27 (assume a4406 (forall ((I tptp.int) (L tptp.int) (U tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) (tptp.set_or1266510415728281911st_int L U))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L) I)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) U))))))
% 16.06/16.27 (assume a4407 (forall ((I tptp.real) (L tptp.real) (U tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) (tptp.set_or1222579329274155063t_real L U))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L) I)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I) U))))))
% 16.06/16.27 (assume a4408 (forall ((L tptp.set_nat) (H tptp.set_nat) (L2 tptp.set_nat) (H2 tptp.set_nat)) (= (= (tptp.set_or4548717258645045905et_nat L H) (tptp.set_or4548717258645045905et_nat L2 H2)) (or (and (= L L2) (= H H2)) (and (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat L) H))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat L2) H2))))))))
% 16.06/16.27 (assume a4409 (forall ((L tptp.rat) (H tptp.rat) (L2 tptp.rat) (H2 tptp.rat)) (= (= (tptp.set_or633870826150836451st_rat L H) (tptp.set_or633870826150836451st_rat L2 H2)) (or (and (= L L2) (= H H2)) (and (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat L) H))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat L2) H2))))))))
% 16.06/16.27 (assume a4410 (forall ((L tptp.num) (H tptp.num) (L2 tptp.num) (H2 tptp.num)) (= (= (tptp.set_or7049704709247886629st_num L H) (tptp.set_or7049704709247886629st_num L2 H2)) (or (and (= L L2) (= H H2)) (and (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num L) H))) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num L2) H2))))))))
% 16.06/16.27 (assume a4411 (forall ((L tptp.nat) (H tptp.nat) (L2 tptp.nat) (H2 tptp.nat)) (= (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) H) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L2) H2)) (or (and (= L L2) (= H H2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat L) H))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat L2) H2))))))))
% 16.06/16.27 (assume a4412 (forall ((L tptp.int) (H tptp.int) (L2 tptp.int) (H2 tptp.int)) (= (= (tptp.set_or1266510415728281911st_int L H) (tptp.set_or1266510415728281911st_int L2 H2)) (or (and (= L L2) (= H H2)) (and (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L) H))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L2) H2))))))))
% 16.06/16.27 (assume a4413 (forall ((L tptp.real) (H tptp.real) (L2 tptp.real) (H2 tptp.real)) (= (= (tptp.set_or1222579329274155063t_real L H) (tptp.set_or1222579329274155063t_real L2 H2)) (or (and (= L L2) (= H H2)) (and (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L) H))) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L2) H2))))))))
% 16.06/16.27 (assume a4414 (forall ((A tptp.bool) (B tptp.bool)) (= (= (tptp.set_or1454250544011482060t_bool A B) tptp.bot_bot_set_bool) (not (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_eq_bool A) B))))))
% 16.06/16.27 (assume a4415 (forall ((A tptp.set_nat) (B tptp.set_nat)) (= (= (tptp.set_or4548717258645045905et_nat A B) tptp.bot_bot_set_set_nat) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))))))
% 16.06/16.27 (assume a4416 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.set_or633870826150836451st_rat A B) tptp.bot_bot_set_rat) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))))))
% 16.06/16.27 (assume a4417 (forall ((A tptp.num) (B tptp.num)) (= (= (tptp.set_or7049704709247886629st_num A B) tptp.bot_bot_set_num) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))))))
% 16.06/16.27 (assume a4418 (forall ((A tptp.nat) (B tptp.nat)) (= (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B) tptp.bot_bot_set_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))))))
% 16.06/16.27 (assume a4419 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.set_or1266510415728281911st_int A B) tptp.bot_bot_set_int) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))))))
% 16.06/16.27 (assume a4420 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.set_or1222579329274155063t_real A B) tptp.bot_bot_set_real) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))))))
% 16.06/16.27 (assume a4421 (forall ((R tptp.set_Pr4329608150637261639at_nat) (S3 tptp.set_Pr4329608150637261639at_nat) (X tptp.set_Pr1261947904930325089at_nat) (Xa tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool (tptp.inf_in3598995156604608923t_bool (tptp.aTP_Lamm_bd R) (tptp.aTP_Lamm_bd S3)) X) Xa)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat X Xa)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat R) S3))))))
% 16.06/16.27 (assume a4422 (forall ((R tptp.set_Pr8218934625190621173um_num) (S3 tptp.set_Pr8218934625190621173um_num) (X tptp.num) (Xa tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool (tptp.inf_in6785501014208220675m_bool (tptp.aTP_Lamm_az R) (tptp.aTP_Lamm_az S3)) X) Xa)) (tptp.member7279096912039735102um_num (tptp.product_Pair_num_num X Xa) (tptp.inf_in305939755129712355um_num R S3)))))
% 16.06/16.27 (assume a4423 (forall ((R tptp.set_Pr6200539531224447659at_num) (S3 tptp.set_Pr6200539531224447659at_num) (X tptp.nat) (Xa tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_nat_fun_num_bool (tptp.inf_in3377337789587618253m_bool (tptp.aTP_Lamm_ba R) (tptp.aTP_Lamm_ba S3)) X) Xa)) (tptp.member9148766508732265716at_num (tptp.product_Pair_nat_num X Xa) (tptp.inf_in7510916698018314649at_num R S3)))))
% 16.06/16.27 (assume a4424 (forall ((R tptp.set_Pr958786334691620121nt_int) (S3 tptp.set_Pr958786334691620121nt_int) (X tptp.int) (Xa tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.inf_in9053446047475168223t_bool (tptp.aTP_Lamm_bc R) (tptp.aTP_Lamm_bc S3)) X) Xa)) (tptp.member5262025264175285858nt_int (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X) Xa) (tptp.inf_in2269163501485487111nt_int R S3)))))
% 16.06/16.27 (assume a4425 (forall ((R tptp.set_Pr1261947904930325089at_nat) (S3 tptp.set_Pr1261947904930325089at_nat) (X tptp.nat) (Xa tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.inf_in183157752877997207t_bool (tptp.aTP_Lamm_bb R) (tptp.aTP_Lamm_bb S3)) X) Xa)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat R) S3))))))
% 16.06/16.27 (assume a4426 (forall ((R tptp.set_complex) (S3 tptp.set_complex) (X tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.inf_in769588206462607408x_bool (tptp.aTP_Lamm_ad R) (tptp.aTP_Lamm_ad S3)) X)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) (tptp.inf_inf_set_complex R S3))))))
% 16.06/16.27 (assume a4427 (forall ((R tptp.set_real) (S3 tptp.set_real) (X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.inf_in4003345473364989746l_bool (tptp.aTP_Lamm_a R) (tptp.aTP_Lamm_a S3)) X)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) (tptp.inf_inf_set_real R S3))))))
% 16.06/16.27 (assume a4428 (forall ((R tptp.set_bool) (S3 tptp.set_bool) (X tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.inf_in9217375510005350933l_bool (tptp.aTP_Lamm_aa R) (tptp.aTP_Lamm_aa S3)) X)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X) (tptp.inf_inf_set_bool R S3))))))
% 16.06/16.27 (assume a4429 (forall ((R tptp.set_int) (S3 tptp.set_int) (X tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.inf_inf_fun_int_bool (tptp.aTP_Lamm_ab R) (tptp.aTP_Lamm_ab S3)) X)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) (tptp.inf_inf_set_int R S3))))))
% 16.06/16.27 (assume a4430 (forall ((R tptp.set_nat) (S3 tptp.set_nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.inf_inf_fun_nat_bool (tptp.aTP_Lamm_ac R) (tptp.aTP_Lamm_ac S3)) X)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat R) S3))))))
% 16.06/16.27 (assume a4431 (forall ((R tptp.set_Pr1261947904930325089at_nat) (S3 tptp.set_Pr1261947904930325089at_nat) (X tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.inf_in2244499300375407147t_bool (tptp.aTP_Lamm_ae R) (tptp.aTP_Lamm_ae S3)) X)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat R) S3))))))
% 16.06/16.27 (assume a4432 (forall ((A4 tptp.set_real) (B4 tptp.set_real)) (= (tptp.inf_inf_set_real A4 B4) (tptp.collect_real (tptp.inf_in4003345473364989746l_bool (tptp.aTP_Lamm_a A4) (tptp.aTP_Lamm_a B4))))))
% 16.06/16.27 (assume a4433 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (tptp.inf_inf_set_bool A4 B4) (tptp.collect_bool (tptp.inf_in9217375510005350933l_bool (tptp.aTP_Lamm_aa A4) (tptp.aTP_Lamm_aa B4))))))
% 16.06/16.27 (assume a4434 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (tptp.inf_inf_set_int A4 B4) (tptp.collect_int (tptp.inf_inf_fun_int_bool (tptp.aTP_Lamm_ab A4) (tptp.aTP_Lamm_ab B4))))))
% 16.06/16.27 (assume a4435 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (= (tptp.inf_inf_set_complex A4 B4) (tptp.collect_complex (tptp.inf_in769588206462607408x_bool (tptp.aTP_Lamm_ad A4) (tptp.aTP_Lamm_ad B4))))))
% 16.06/16.27 (assume a4436 (forall ((A4 tptp.set_set_nat) (B4 tptp.set_set_nat)) (= (tptp.inf_inf_set_set_nat A4 B4) (tptp.collect_set_nat (tptp.inf_in6168126700042863960t_bool (tptp.aTP_Lamm_af A4) (tptp.aTP_Lamm_af B4))))))
% 16.06/16.27 (assume a4437 (forall ((A4 tptp.set_list_nat) (B4 tptp.set_list_nat)) (= (tptp.inf_inf_set_list_nat A4 B4) (tptp.collect_list_nat (tptp.inf_in7940471347505502206t_bool (tptp.aTP_Lamm_ag A4) (tptp.aTP_Lamm_ag B4))))))
% 16.06/16.27 (assume a4438 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) (tptp.collect_nat (tptp.inf_inf_fun_nat_bool (tptp.aTP_Lamm_ac A4) (tptp.aTP_Lamm_ac B4))))))
% 16.06/16.27 (assume a4439 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4) (tptp.collec3392354462482085612at_nat (tptp.inf_in2244499300375407147t_bool (tptp.aTP_Lamm_ae A4) (tptp.aTP_Lamm_ae B4))))))
% 16.06/16.27 (assume a4440 (forall ((P tptp.fun_nat_bool) (X3 tptp.nat) (M7 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) M7)))) (not (forall ((M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P M)) (not (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) M))))))))))))
% 16.06/16.27 (assume a4441 (forall ((X3 tptp.produc8114805097830739791at_num)) (not (forall ((F2 tptp.fun_nat_fun_num_num) (A3 tptp.nat) (B3 tptp.nat) (Acc tptp.num)) (not (= X3 (tptp.produc460779904311030791at_num F2 (tptp.produc1195630363706982562at_num A3 (tptp.product_Pair_nat_num B3 Acc)))))))))
% 16.06/16.27 (assume a4442 (forall ((X3 tptp.produc9217583074051984497at_nat)) (not (forall ((F2 tptp.fun_nat_fun_nat_nat) (A3 tptp.nat) (B3 tptp.nat) (Acc tptp.nat)) (not (= X3 (tptp.produc2818902965508115497at_nat F2 (tptp.produc487386426758144856at_nat A3 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat B3) Acc)))))))))
% 16.06/16.27 (assume a4443 (forall ((L tptp.rat) (M2 tptp.rat) (U tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat L) M2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat M2) U)) (= (tptp.sup_sup_set_rat (tptp.set_or633870826150836451st_rat L M2) (tptp.set_or633870826150836451st_rat M2 U)) (tptp.set_or633870826150836451st_rat L U))))))
% 16.06/16.27 (assume a4444 (forall ((L tptp.num) (M2 tptp.num) (U tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num L) M2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) U)) (= (tptp.sup_sup_set_num (tptp.set_or7049704709247886629st_num L M2) (tptp.set_or7049704709247886629st_num M2 U)) (tptp.set_or7049704709247886629st_num L U))))))
% 16.06/16.27 (assume a4445 (forall ((L tptp.nat) (M2 tptp.nat) (U tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat L) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) U)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) M2)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) U)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U))))))
% 16.06/16.27 (assume a4446 (forall ((L tptp.int) (M2 tptp.int) (U tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L) M2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int M2) U)) (= (tptp.sup_sup_set_int (tptp.set_or1266510415728281911st_int L M2) (tptp.set_or1266510415728281911st_int M2 U)) (tptp.set_or1266510415728281911st_int L U))))))
% 16.06/16.27 (assume a4447 (forall ((L tptp.real) (M2 tptp.real) (U tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L) M2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real M2) U)) (= (tptp.sup_sup_set_real (tptp.set_or1222579329274155063t_real L M2) (tptp.set_or1222579329274155063t_real M2 U)) (tptp.set_or1222579329274155063t_real L U))))))
% 16.06/16.27 (assume a4448 (forall ((A tptp.bool) (B tptp.bool)) (=> (= (tptp.pp A) (tptp.pp B)) (= (tptp.set_or1454250544011482060t_bool A B) (tptp.insert_bool A tptp.bot_bot_set_bool)))))
% 16.06/16.27 (assume a4449 (forall ((A tptp.nat) (B tptp.nat)) (=> (= A B) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B) (tptp.insert_nat A tptp.bot_bot_set_nat)))))
% 16.06/16.27 (assume a4450 (forall ((A tptp.int) (B tptp.int)) (=> (= A B) (= (tptp.set_or1266510415728281911st_int A B) (tptp.insert_int A tptp.bot_bot_set_int)))))
% 16.06/16.27 (assume a4451 (forall ((A tptp.real) (B tptp.real)) (=> (= A B) (= (tptp.set_or1222579329274155063t_real A B) (tptp.insert_real A tptp.bot_bot_set_real)))))
% 16.06/16.27 (assume a4452 (forall ((A tptp.set_nat) (B tptp.set_nat) (C tptp.set_nat) (D tptp.set_nat)) (= (tptp.ord_less_set_set_nat (tptp.set_or4548717258645045905et_nat A B) (tptp.set_or4548717258645045905et_nat C D)) (and (or (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) B))) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B) D)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat C) A)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat B) D))))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat C) D))))))
% 16.06/16.27 (assume a4453 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_set_rat (tptp.set_or633870826150836451st_rat A B)) (tptp.set_or633870826150836451st_rat C D))) (and (or (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) D)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) D))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D))))))
% 16.06/16.27 (assume a4454 (forall ((A tptp.num) (B tptp.num) (C tptp.num) (D tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_set_num (tptp.set_or7049704709247886629st_num A B)) (tptp.set_or7049704709247886629st_num C D))) (and (or (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) D)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B) D))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) D))))))
% 16.06/16.27 (assume a4455 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat C) D))) (and (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) D)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) D))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D))))))
% 16.06/16.27 (assume a4456 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int (tptp.set_or1266510415728281911st_int A B)) (tptp.set_or1266510415728281911st_int C D))) (and (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) D)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) D))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D))))))
% 16.06/16.27 (assume a4457 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_set_real (tptp.set_or1222579329274155063t_real A B)) (tptp.set_or1222579329274155063t_real C D))) (and (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) D)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) D))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D))))))
% 16.06/16.27 (assume a4458 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.06/16.27 (assume a4459 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N) (tptp.insert_nat M2 (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N))))))
% 16.06/16.27 (assume a4460 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))))))
% 16.06/16.27 (assume a4461 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.insert_nat M2 (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.27 (assume a4462 (forall ((X3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) tptp.bot_bo2099793752762293965at_nat) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.27 (assume a4463 (forall ((X3 tptp.set_bool)) (= (tptp.inf_inf_set_bool X3 tptp.bot_bot_set_bool) tptp.bot_bot_set_bool)))
% 16.06/16.27 (assume a4464 (forall ((X3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) tptp.bot_bot_set_nat) tptp.bot_bot_set_nat)))
% 16.06/16.27 (assume a4465 (forall ((X3 tptp.set_int)) (= (tptp.inf_inf_set_int X3 tptp.bot_bot_set_int) tptp.bot_bot_set_int)))
% 16.06/16.27 (assume a4466 (forall ((X3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat tptp.bot_bo2099793752762293965at_nat) X3) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.27 (assume a4467 (forall ((X3 tptp.set_bool)) (= (tptp.inf_inf_set_bool tptp.bot_bot_set_bool X3) tptp.bot_bot_set_bool)))
% 16.06/16.27 (assume a4468 (forall ((X3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat tptp.bot_bot_set_nat) X3) tptp.bot_bot_set_nat)))
% 16.06/16.27 (assume a4469 (forall ((X3 tptp.set_int)) (= (tptp.inf_inf_set_int tptp.bot_bot_set_int X3) tptp.bot_bot_set_int)))
% 16.06/16.27 (assume a4470 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (= (tptp.set_VEBT_VEBT2 (tptp.union_VEBT_VEBT Xs Ys)) (tptp.sup_su6272177626956685416T_VEBT (tptp.set_VEBT_VEBT2 Xs) (tptp.set_VEBT_VEBT2 Ys)))))
% 16.06/16.27 (assume a4471 (forall ((Xs tptp.list_nat) (Ys tptp.list_nat)) (= (tptp.set_nat2 (tptp.union_nat Xs Ys)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.set_nat2 Xs)) (tptp.set_nat2 Ys)))))
% 16.06/16.27 (assume a4472 (forall ((Xs tptp.list_P5464809261938338413at_nat) (Ys tptp.list_P5464809261938338413at_nat)) (= (tptp.set_Pr3765526544606949372at_nat (tptp.union_4462254032241401953at_nat Xs Ys)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.set_Pr3765526544606949372at_nat Xs)) (tptp.set_Pr3765526544606949372at_nat Ys)))))
% 16.06/16.27 (assume a4473 (forall ((Z tptp.real) (X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Z)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real X3) Z)) (tptp.aa_real_real (tptp.times_times_real Y) Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y))))))
% 16.06/16.27 (assume a4474 (forall ((Z tptp.rat) (X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Z)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y))))))
% 16.06/16.27 (assume a4475 (forall ((Z tptp.int) (X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y))))))
% 16.06/16.27 (assume a4476 (forall ((Z tptp.real) (X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Z)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real Z) X3)) (tptp.aa_real_real (tptp.times_times_real Z) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y))))))
% 16.06/16.27 (assume a4477 (forall ((Z tptp.rat) (X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Z)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y))))))
% 16.06/16.27 (assume a4478 (forall ((Z tptp.int) (X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y))))))
% 16.06/16.27 (assume a4479 (forall ((Q3 tptp.nat) (R2 tptp.nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool tptp.unique6322359934112328802ux_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Q3) R2))) (= R2 tptp.zero_zero_nat))))
% 16.06/16.27 (assume a4480 (forall ((Q3 tptp.int) (R2 tptp.int)) (= (tptp.pp (tptp.aa_Pro4501881432599481050t_bool tptp.unique6319869463603278526ux_int (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2))) (= R2 tptp.zero_zero_int))))
% 16.06/16.27 (assume a4481 (forall ((X3 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.27 (assume a4482 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.nat_triangle N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.27 (assume a4483 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 16.06/16.27 (assume a4484 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B))))
% 16.06/16.27 (assume a4485 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A B) B) (tptp.modulo364778990260209775nteger A B))))
% 16.06/16.27 (assume a4486 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 16.06/16.27 (assume a4487 (forall ((B tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B))))
% 16.06/16.27 (assume a4488 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger B A) B) (tptp.modulo364778990260209775nteger A B))))
% 16.06/16.27 (assume a4489 (= (tptp.aa_nat_nat tptp.nat_triangle tptp.zero_zero_nat) tptp.zero_zero_nat))
% 16.06/16.27 (assume a4490 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B))) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 16.06/16.27 (assume a4491 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B))) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B))))
% 16.06/16.27 (assume a4492 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) B)) B) (tptp.modulo364778990260209775nteger A B))))
% 16.06/16.27 (assume a4493 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C))) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 16.06/16.27 (assume a4494 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C))) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B))))
% 16.06/16.27 (assume a4495 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B) C)) B) (tptp.modulo364778990260209775nteger A B))))
% 16.06/16.27 (assume a4496 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B)) A)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 16.06/16.27 (assume a4497 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B)) A)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B))))
% 16.06/16.27 (assume a4498 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) B) A) B) (tptp.modulo364778990260209775nteger A B))))
% 16.06/16.27 (assume a4499 (forall ((B tptp.nat) (C tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C)) A)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))
% 16.06/16.27 (assume a4500 (forall ((B tptp.int) (C tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)) A)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B))))
% 16.06/16.27 (assume a4501 (forall ((B tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B) C) A) B) (tptp.modulo364778990260209775nteger A B))))
% 16.06/16.27 (assume a4502 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.zero_zero_nat)))
% 16.06/16.27 (assume a4503 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.nat_triangle (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.nat_triangle N)) (tptp.aa_nat_nat tptp.suc N)))))
% 16.06/16.27 (assume a4504 (forall ((N tptp.nat) (K2 tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K2)) M2))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M2)) N))))
% 16.06/16.27 (assume a4505 (forall ((K2 tptp.nat) (N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) N)) M2))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M2)) N))))
% 16.06/16.27 (assume a4506 (forall ((M2 tptp.nat) (N tptp.nat) (K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K2)))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M2)) N))))
% 16.06/16.27 (assume a4507 (forall ((M2 tptp.nat) (K2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) N)))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M2)) N))))
% 16.06/16.27 (assume a4508 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))
% 16.06/16.27 (assume a4509 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 16.06/16.27 (assume a4510 (= (tptp.modulo364778990260209775nteger tptp.one_one_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))
% 16.06/16.27 (assume a4511 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))
% 16.06/16.27 (assume a4512 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 16.06/16.27 (assume a4513 (= (tptp.modulo364778990260209775nteger tptp.one_one_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))
% 16.06/16.27 (assume a4514 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.27 (assume a4515 (forall ((K2 tptp.num) (N tptp.nat)) (=> (not (= (tptp.aa_num_nat tptp.numeral_numeral_nat K2) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) N))) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) tptp.one_one_nat))))
% 16.06/16.27 (assume a4516 (forall ((A tptp.nat)) (= (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))))
% 16.06/16.27 (assume a4517 (forall ((A tptp.int)) (= (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))))
% 16.06/16.27 (assume a4518 (forall ((A tptp.code_integer)) (= (not (= (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.27 (assume a4519 (forall ((A tptp.nat)) (= (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 16.06/16.27 (assume a4520 (forall ((A tptp.int)) (= (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))))
% 16.06/16.27 (assume a4521 (forall ((A tptp.code_integer)) (= (not (= (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))))
% 16.06/16.27 (assume a4522 (forall ((N tptp.nat)) (= (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))))
% 16.06/16.27 (assume a4523 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat)))
% 16.06/16.27 (assume a4524 (forall ((M2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 16.06/16.27 (assume a4525 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B) C))) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) C))))
% 16.06/16.27 (assume a4526 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B) C))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C))))
% 16.06/16.27 (assume a4527 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A (tptp.modulo364778990260209775nteger B C)) C) (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A B) C))))
% 16.06/16.27 (assume a4528 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C)) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) C))))
% 16.06/16.27 (assume a4529 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C)) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C))))
% 16.06/16.27 (assume a4530 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A C) B) C) (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A B) C))))
% 16.06/16.27 (assume a4531 (forall ((A tptp.nat) (C tptp.nat) (A2 tptp.nat) (B tptp.nat) (B2 tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A2) C)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B2) C)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A2) B2)) C))))))
% 16.06/16.27 (assume a4532 (forall ((A tptp.int) (C tptp.int) (A2 tptp.int) (B tptp.int) (B2 tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A2) C)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A2) B2)) C))))))
% 16.06/16.27 (assume a4533 (forall ((A tptp.code_integer) (C tptp.code_integer) (A2 tptp.code_integer) (B tptp.code_integer) (B2 tptp.code_integer)) (=> (= (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger A2 C)) (=> (= (tptp.modulo364778990260209775nteger B C) (tptp.modulo364778990260209775nteger B2 C)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A B) C) (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A2 B2) C))))))
% 16.06/16.27 (assume a4534 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B) C))) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) C))))
% 16.06/16.27 (assume a4535 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B) C))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C))))
% 16.06/16.27 (assume a4536 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger B C)) C) (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A B) C))))
% 16.06/16.27 (assume a4537 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)) N)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) B))))
% 16.06/16.27 (assume a4538 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B)) N)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_nat_int (tptp.power_power_int A) N)) B))))
% 16.06/16.27 (assume a4539 (forall ((A tptp.code_integer) (B tptp.code_integer) (N tptp.nat)) (= (tptp.modulo364778990260209775nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.modulo364778990260209775nteger A B)) N) B) (tptp.modulo364778990260209775nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N) B))))
% 16.06/16.27 (assume a4540 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) N)))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M2))) N))))
% 16.06/16.27 (assume a4541 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) N))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M2)) N))))
% 16.06/16.27 (assume a4542 (forall ((M2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) N)) M2))))
% 16.06/16.27 (assume a4543 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.modulo364778990260209775nteger A B)) A)))))
% 16.06/16.27 (assume a4544 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)) A)))))
% 16.06/16.27 (assume a4545 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B)) A)))))
% 16.06/16.27 (assume a4546 (forall ((M2 tptp.num) (Q3 tptp.num) (N tptp.num)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q3))))))
% 16.06/16.27 (assume a4547 (forall ((M2 tptp.num) (Q3 tptp.num) (N tptp.num)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int Q3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int Q3))))))
% 16.06/16.27 (assume a4548 (forall ((M2 tptp.num) (Q3 tptp.num) (N tptp.num)) (= (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3))) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3)))) (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger Q3)) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger Q3))))))
% 16.06/16.27 (assume a4549 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)))))
% 16.06/16.27 (assume a4550 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)))))
% 16.06/16.27 (assume a4551 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger tptp.one)) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger tptp.one)))))
% 16.06/16.27 (assume a4552 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B) C)) (not (forall ((D4 tptp.int)) (not (= B (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) D4)))))))))
% 16.06/16.27 (assume a4553 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (=> (= (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger B C)) (not (forall ((D4 tptp.code_integer)) (not (= B (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) D4)))))))))
% 16.06/16.27 (assume a4554 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B) C))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B) C))) C)))))
% 16.06/16.27 (assume a4555 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B) C))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B) C))) C)))))
% 16.06/16.27 (assume a4556 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B) C) (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B C)) (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger B C)) C)))))
% 16.06/16.27 (assume a4557 (forall ((M2 tptp.nat) (N tptp.nat)) (and (=> (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) N)) N) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M2)) N) tptp.zero_zero_nat)) (=> (not (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) N)) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M2)) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) N)))))))
% 16.06/16.27 (assume a4558 (forall ((P tptp.fun_nat_bool) (N tptp.nat) (P2 tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) P2)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N2) P2)) (=> (tptp.pp (tptp.aa_nat_bool P N2)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc N2)) P2)))))) (tptp.pp (tptp.aa_nat_bool P M2))))))))
% 16.06/16.27 (assume a4559 (forall ((M2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_nat_nat tptp.suc N))) N))))
% 16.06/16.27 (assume a4560 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) N)))))
% 16.06/16.27 (assume a4561 (forall ((X3 tptp.nat) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat Y) N)) (exists ((Q1 tptp.nat) (Q22 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q1)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q22)))))))
% 16.06/16.27 (assume a4562 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.modulo364778990260209775nteger A B))))))
% 16.06/16.27 (assume a4563 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))))
% 16.06/16.27 (assume a4564 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B))))))
% 16.06/16.27 (assume a4565 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) B)) (= (tptp.modulo364778990260209775nteger A B) A)))))
% 16.06/16.27 (assume a4566 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B) A)))))
% 16.06/16.27 (assume a4567 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B) A)))))
% 16.06/16.27 (assume a4568 (forall ((N tptp.num) (Q3 tptp.num)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3))) tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q3)) tptp.zero_zero_nat))))
% 16.06/16.27 (assume a4569 (forall ((N tptp.num) (Q3 tptp.num)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3))) tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int Q3)) tptp.zero_zero_int))))
% 16.06/16.27 (assume a4570 (forall ((N tptp.num) (Q3 tptp.num)) (= (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3))) tptp.zero_z3403309356797280102nteger) (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger Q3)) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.27 (assume a4571 (forall ((N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) tptp.zero_zero_nat)))
% 16.06/16.27 (assume a4572 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) tptp.zero_zero_int)))
% 16.06/16.27 (assume a4573 (forall ((N tptp.num)) (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger tptp.one)) tptp.zero_z3403309356797280102nteger)))
% 16.06/16.27 (assume a4574 (forall ((Q3 tptp.num) (N tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3)))))))
% 16.06/16.27 (assume a4575 (forall ((Q3 tptp.num) (N tptp.num)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3)))))))
% 16.06/16.27 (assume a4576 (forall ((Q3 tptp.num) (N tptp.num)) (not (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger tptp.one) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3))) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3)))))))
% 16.06/16.27 (assume a4577 (forall ((M2 tptp.num) (Q3 tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3)))))))
% 16.06/16.27 (assume a4578 (forall ((M2 tptp.num) (Q3 tptp.num)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3)))))))
% 16.06/16.27 (assume a4579 (forall ((M2 tptp.num) (Q3 tptp.num)) (not (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3))) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger tptp.one) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3)))))))
% 16.06/16.27 (assume a4580 (forall ((B tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C))))
% 16.06/16.27 (assume a4581 (forall ((B tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C))))
% 16.06/16.27 (assume a4582 (forall ((B tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B) (tptp.divide6298287555418463151nteger A B)) (tptp.modulo364778990260209775nteger A B)) C) (tptp.plus_p5714425477246183910nteger A C))))
% 16.06/16.27 (assume a4583 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C))))
% 16.06/16.27 (assume a4584 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B)) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C))))
% 16.06/16.27 (assume a4585 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) B) (tptp.modulo364778990260209775nteger A B)) C) (tptp.plus_p5714425477246183910nteger A C))))
% 16.06/16.27 (assume a4586 (forall ((A tptp.nat) (B tptp.nat)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)))))
% 16.06/16.27 (assume a4587 (forall ((A tptp.int) (B tptp.int)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B)) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B)))))
% 16.06/16.27 (assume a4588 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= A (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) B) (tptp.modulo364778990260209775nteger A B)))))
% 16.06/16.27 (assume a4589 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)) A)))
% 16.06/16.27 (assume a4590 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B)) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B)) A)))
% 16.06/16.27 (assume a4591 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) B) (tptp.modulo364778990260209775nteger A B)) A)))
% 16.06/16.27 (assume a4592 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)) B)) A)))
% 16.06/16.27 (assume a4593 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B)) B)) A)))
% 16.06/16.27 (assume a4594 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A B) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B)) B)) A)))
% 16.06/16.27 (assume a4595 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))) A)))
% 16.06/16.27 (assume a4596 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B))) A)))
% 16.06/16.27 (assume a4597 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A B) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B) (tptp.divide6298287555418463151nteger A B))) A)))
% 16.06/16.27 (assume a4598 (forall ((B tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)) A)))
% 16.06/16.27 (assume a4599 (forall ((B tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B)) A)))
% 16.06/16.27 (assume a4600 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B) (tptp.divide6298287555418463151nteger A B)) (tptp.modulo364778990260209775nteger A B)) A)))
% 16.06/16.27 (assume a4601 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B) C))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B) C))) C)))))
% 16.06/16.27 (assume a4602 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B) C))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B) C))) C)))))
% 16.06/16.27 (assume a4603 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B) C) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.divide6298287555418463151nteger B C)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.modulo364778990260209775nteger B C)) C)))))
% 16.06/16.27 (assume a4604 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) N)) N)))))
% 16.06/16.27 (assume a4605 (forall ((X3 tptp.nat) (N tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat Y) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)) (exists ((Q2 tptp.nat)) (= X3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q2))))))))
% 16.06/16.27 (assume a4606 (forall ((M2 tptp.nat) (Q3 tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) Q3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) Q3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (not (forall ((S2 tptp.nat)) (not (= N (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Q3) S2))))))))))
% 16.06/16.27 (assume a4607 (forall ((M2 tptp.nat) (Q3 tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) Q3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) Q3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (not (forall ((S2 tptp.nat)) (not (= M2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Q3) S2))))))))))
% 16.06/16.27 (assume a4608 (forall ((M2 tptp.nat) (N tptp.nat) (Q3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N)) Q3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) N)))))
% 16.06/16.27 (assume a4609 (forall ((P tptp.fun_nat_bool) (M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) N))) (and (=> (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool P M2))) (=> (not (= N tptp.zero_zero_nat)) (forall ((I4 tptp.nat) (J3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J3) N)) (=> (= M2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) I4)) J3)) (tptp.pp (tptp.aa_nat_bool P J3))))))))))
% 16.06/16.27 (assume a4610 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) C)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B) C)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B) (tptp.modulo364778990260209775nteger (tptp.divide6298287555418463151nteger A B) C)) (tptp.modulo364778990260209775nteger A B))))))
% 16.06/16.27 (assume a4611 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)) C))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))))
% 16.06/16.27 (assume a4612 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B)) C))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B))))))
% 16.06/16.27 (assume a4613 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N))) M2) tptp.one_one_nat))))
% 16.06/16.27 (assume a4614 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B))))))
% 16.06/16.27 (assume a4615 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B))))))
% 16.06/16.27 (assume a4616 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) B)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (tptp.modulo364778990260209775nteger A B))))))
% 16.06/16.27 (assume a4617 (forall ((A tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_nat))))
% 16.06/16.27 (assume a4618 (forall ((A tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int))))
% 16.06/16.27 (assume a4619 (forall ((A tptp.code_integer)) (=> (= (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.plus_p5714425477246183910nteger A (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.27 (assume a4620 (forall ((A tptp.nat) (N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.27 (assume a4621 (forall ((A tptp.int) (N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.27 (assume a4622 (forall ((A tptp.code_integer) (N tptp.nat) (M2 tptp.nat)) (= (tptp.modulo364778990260209775nteger (tptp.divide6298287555418463151nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.divide6298287555418463151nteger (tptp.modulo364778990260209775nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.27 (assume a4623 (forall ((B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B))))))
% 16.06/16.27 (assume a4624 (forall ((B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B))))))
% 16.06/16.27 (assume a4625 (forall ((B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) B)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (tptp.divide6298287555418463151nteger A B))))))
% 16.06/16.27 (assume a4626 (forall ((M2 tptp.nat) (N tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))))))
% 16.06/16.27 (assume a4627 (forall ((M2 tptp.nat) (N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2))))))
% 16.06/16.27 (assume a4628 (forall ((M2 tptp.nat) (N tptp.nat) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.modulo364778990260209775nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M2))))))
% 16.06/16.27 (assume a4629 (forall ((X3 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat X3) tptp.bot_bo228742789529271731at_nat) X3)))
% 16.06/16.27 (assume a4630 (forall ((X3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat X3) tptp.bot_bo2099793752762293965at_nat) X3)))
% 16.06/16.27 (assume a4631 (forall ((X3 tptp.set_bool)) (= (tptp.sup_sup_set_bool X3 tptp.bot_bot_set_bool) X3)))
% 16.06/16.27 (assume a4632 (forall ((X3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat X3) tptp.bot_bot_set_nat) X3)))
% 16.06/16.27 (assume a4633 (forall ((X3 tptp.set_int)) (= (tptp.sup_sup_set_int X3 tptp.bot_bot_set_int) X3)))
% 16.06/16.27 (assume a4634 (forall ((M2 tptp.code_integer) (X3 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) M2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) X3)) (or (= (tptp.modulo364778990260209775nteger X3 (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.modulo364778990260209775nteger X3 M2)) (= (tptp.modulo364778990260209775nteger X3 (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger X3 M2) M2)))))))
% 16.06/16.27 (assume a4635 (forall ((M2 tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X3)) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) M2)) M2)))))))
% 16.06/16.27 (assume a4636 (forall ((M2 tptp.int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) M2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X3)) (or (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int X3) M2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int X3) M2)) M2)))))))
% 16.06/16.27 (assume a4637 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger B) (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B)))) (= (tptp.minus_8373710615458151222nteger (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B)) B) (tptp.modulo364778990260209775nteger A B)))))))
% 16.06/16.27 (assume a4638 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B)))))))
% 16.06/16.27 (assume a4639 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B)))))))
% 16.06/16.27 (assume a4640 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.27 (assume a4641 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se8260200283734997820nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se8260200283734997820nteger N (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.27 (assume a4642 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se4203085406695923979it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se4203085406695923979it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.27 (assume a4643 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.27 (assume a4644 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se2793503036327961859nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se2793503036327961859nteger N (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.27 (assume a4645 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se7879613467334960850it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se7879613467334960850it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.27 (assume a4646 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger B) (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B)))) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) tptp.one_one_Code_integer) (tptp.divide6298287555418463151nteger A B)))))))
% 16.06/16.27 (assume a4647 (forall ((A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B)))) tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)))))))
% 16.06/16.27 (assume a4648 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B)))) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B)))))))
% 16.06/16.27 (assume a4649 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat X3) Y) tptp.bot_bo2099793752762293965at_nat) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) Y)))))
% 16.06/16.27 (assume a4650 (forall ((X3 tptp.set_bool) (Y tptp.set_bool)) (= (= (tptp.minus_minus_set_bool X3 Y) tptp.bot_bot_set_bool) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool X3) Y)))))
% 16.06/16.27 (assume a4651 (forall ((X3 tptp.set_int) (Y tptp.set_int)) (= (= (tptp.minus_minus_set_int X3 Y) tptp.bot_bot_set_int) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X3) Y)))))
% 16.06/16.27 (assume a4652 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat X3) Y) tptp.bot_bot_set_nat) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)))))
% 16.06/16.27 (assume a4653 (forall ((A4 tptp.nat) (B4 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A4) B4)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A4) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B4) N)) tptp.zero_zero_nat)) tptp.one_one_nat) tptp.zero_zero_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B4) N)))))))
% 16.06/16.27 (assume a4654 (forall ((A4 tptp.nat) (N tptp.nat)) (= A4 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A4) N)) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A4) N)))))
% 16.06/16.27 (assume a4655 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.27 (assume a4656 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.27 (assume a4657 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se1345352211410354436nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se1345352211410354436nteger N (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.27 (assume a4658 (forall ((N tptp.nat) (Xs tptp.list_num) (Ys tptp.list_num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_num Xs)) (tptp.size_size_list_num Ys)))) (= (tptp.nth_Pr6456567536196504476um_num (tptp.product_num_num Xs Ys) N) (tptp.product_Pair_num_num (tptp.aa_nat_num (tptp.nth_num Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_num Ys))) (tptp.aa_nat_num (tptp.nth_num Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_num Ys))))))))
% 16.06/16.27 (assume a4659 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_s6755466524823107622T_VEBT Ys)))) (= (tptp.nth_Pr4953567300277697838T_VEBT (tptp.produc4743750530478302277T_VEBT Xs Ys) N) (tptp.produc537772716801021591T_VEBT (tptp.nth_VEBT_VEBT Xs (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_s6755466524823107622T_VEBT Ys))) (tptp.nth_VEBT_VEBT Ys (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_s6755466524823107622T_VEBT Ys))))))))
% 16.06/16.27 (assume a4660 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (Ys tptp.list_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_bool Ys)))) (= (tptp.nth_Pr1289831921885633937T_bool (tptp.produc5466675335756156456T_bool Xs Ys) N) (tptp.produc3035007008238225530T_bool (tptp.nth_VEBT_VEBT Xs (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_bool Ys))) (tptp.aa_nat_bool (tptp.nth_bool Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_bool Ys))))))))
% 16.06/16.27 (assume a4661 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (Ys tptp.list_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_nat Ys)))) (= (tptp.nth_Pr1791586995822124652BT_nat (tptp.produc7295137177222721919BT_nat Xs Ys) N) (tptp.produc738532404422230701BT_nat (tptp.nth_VEBT_VEBT Xs (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_nat Ys))) (tptp.aa_nat_nat (tptp.nth_nat Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_nat Ys))))))))
% 16.06/16.27 (assume a4662 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (Ys tptp.list_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_int Ys)))) (= (tptp.nth_Pr6837108013167703752BT_int (tptp.produc7292646706713671643BT_int Xs Ys) N) (tptp.produc736041933913180425BT_int (tptp.nth_VEBT_VEBT Xs (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_int Ys))) (tptp.aa_nat_int (tptp.nth_int Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_int Ys))))))))
% 16.06/16.27 (assume a4663 (forall ((N tptp.nat) (Xs tptp.list_bool) (Ys tptp.list_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_s6755466524823107622T_VEBT Ys)))) (= (tptp.nth_Pr3250499561091541003T_VEBT (tptp.produc2282853104913622818T_VEBT Xs Ys) N) (tptp.produc9074556814250467700T_VEBT (tptp.aa_nat_bool (tptp.nth_bool Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_s6755466524823107622T_VEBT Ys))) (tptp.nth_VEBT_VEBT Ys (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_s6755466524823107622T_VEBT Ys))))))))
% 16.06/16.27 (assume a4664 (forall ((N tptp.nat) (Xs tptp.list_bool) (Ys tptp.list_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_size_list_bool Ys)))) (= (tptp.nth_Pr2856333732135533678l_bool (tptp.product_bool_bool Xs Ys) N) (tptp.produc8297744024737662807l_bool (tptp.aa_nat_bool (tptp.nth_bool Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_bool Ys))) (tptp.aa_nat_bool (tptp.nth_bool Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_bool Ys))))))))
% 16.06/16.27 (assume a4665 (forall ((N tptp.nat) (Xs tptp.list_bool) (Ys tptp.list_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_size_list_nat Ys)))) (= (tptp.nth_Pr2186422209488468047ol_nat (tptp.product_bool_nat Xs Ys) N) (tptp.produc8874003862241262736ol_nat (tptp.aa_nat_bool (tptp.nth_bool Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_nat Ys))) (tptp.aa_nat_nat (tptp.nth_nat Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_nat Ys))))))))
% 16.06/16.27 (assume a4666 (forall ((N tptp.nat) (Xs tptp.list_bool) (Ys tptp.list_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_size_list_int Ys)))) (= (tptp.nth_Pr7231943226834047147ol_int (tptp.product_bool_int Xs Ys) N) (tptp.produc8871513391732212460ol_int (tptp.aa_nat_bool (tptp.nth_bool Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_int Ys))) (tptp.aa_nat_int (tptp.nth_int Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_int Ys))))))))
% 16.06/16.27 (assume a4667 (forall ((N tptp.nat) (Xs tptp.list_nat) (Ys tptp.list_num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_nat Xs)) (tptp.size_size_list_num Ys)))) (= (tptp.nth_Pr8326237132889035090at_num (tptp.product_nat_num Xs Ys) N) (tptp.product_Pair_nat_num (tptp.aa_nat_nat (tptp.nth_nat Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_num Ys))) (tptp.aa_nat_num (tptp.nth_num Ys) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_num Ys))))))))
% 16.06/16.27 (assume a4668 (forall ((X3 tptp.nat) (Z tptp.nat) (A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Z)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_max_in_set A4) Z)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (= A4 B4) (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set A4) X3) X_13)))))))))
% 16.06/16.27 (assume a4669 (forall ((Z tptp.nat) (X3 tptp.nat) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z) X3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_min_in_set A4) Z)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_pred_in_set A4) X3) X_13))))))))
% 16.06/16.27 (assume a4670 (forall ((B tptp.int) (A tptp.int) (Q3 tptp.int) (R2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int) B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2))) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) R2)) tptp.one_one_int))))))))
% 16.06/16.27 (assume a4671 (forall ((B tptp.int) (A tptp.int) (Q3 tptp.int) (R2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int A B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2))) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) R2)))))))))
% 16.06/16.27 (assume a4672 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.vEBT_VEBT_set_vebt T))))))
% 16.06/16.27 (assume a4673 (forall ((Xs tptp.set_nat) (A tptp.nat)) (=> (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_pred_in_set Xs) A) X_13)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat Xs)) (not (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) A)))))))))
% 16.06/16.27 (assume a4674 (forall ((Xs tptp.set_nat) (A tptp.nat)) (=> (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set Xs) A) X_13)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat Xs)) (not (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) X)))))))))
% 16.06/16.27 (assume a4675 (forall ((X2 tptp.num) (Y2 tptp.num)) (= (= (tptp.aa_num_num tptp.bit0 X2) (tptp.aa_num_num tptp.bit0 Y2)) (= X2 Y2))))
% 16.06/16.27 (assume a4676 (forall ((Xs tptp.list_VEBT_VEBT)) (tptp.finite5795047828879050333T_VEBT (tptp.set_VEBT_VEBT2 Xs))))
% 16.06/16.27 (assume a4677 (forall ((Xs tptp.list_nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.set_nat2 Xs)))))
% 16.06/16.27 (assume a4678 (forall ((Xs tptp.list_complex)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.set_complex2 Xs)))))
% 16.06/16.27 (assume a4679 (forall ((Xs tptp.list_P6011104703257516679at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat (tptp.set_Pr5648618587558075414at_nat Xs)))))
% 16.06/16.27 (assume a4680 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_VEBT_VEBT)) (= (tptp.size_s7466405169056248089T_VEBT (tptp.produc4743750530478302277T_VEBT Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_s6755466524823107622T_VEBT Ys)))))
% 16.06/16.27 (assume a4681 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_bool)) (= (tptp.size_s1343096544515248124T_bool (tptp.produc5466675335756156456T_bool Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_bool Ys)))))
% 16.06/16.27 (assume a4682 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_nat)) (= (tptp.size_s6152045936467909847BT_nat (tptp.produc7295137177222721919BT_nat Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_nat Ys)))))
% 16.06/16.27 (assume a4683 (forall ((Xs tptp.list_VEBT_VEBT) (Ys tptp.list_int)) (= (tptp.size_s3661962791536183091BT_int (tptp.produc7292646706713671643BT_int Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_int Ys)))))
% 16.06/16.27 (assume a4684 (forall ((Xs tptp.list_bool) (Ys tptp.list_VEBT_VEBT)) (= (tptp.size_s7211631430880329078T_VEBT (tptp.produc2282853104913622818T_VEBT Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_s6755466524823107622T_VEBT Ys)))))
% 16.06/16.27 (assume a4685 (forall ((Xs tptp.list_bool) (Ys tptp.list_bool)) (= (tptp.size_s6988337448923680857l_bool (tptp.product_bool_bool Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_size_list_bool Ys)))))
% 16.06/16.27 (assume a4686 (forall ((Xs tptp.list_bool) (Ys tptp.list_nat)) (= (tptp.size_s3243772863075988794ol_nat (tptp.product_bool_nat Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_size_list_nat Ys)))))
% 16.06/16.27 (assume a4687 (forall ((Xs tptp.list_bool) (Ys tptp.list_int)) (= (tptp.size_s753689718144262038ol_int (tptp.product_bool_int Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_size_list_int Ys)))))
% 16.06/16.27 (assume a4688 (forall ((Xs tptp.list_nat) (Ys tptp.list_VEBT_VEBT)) (= (tptp.size_s4762443039079500285T_VEBT (tptp.produc7156399406898700509T_VEBT Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_nat Xs)) (tptp.size_s6755466524823107622T_VEBT Ys)))))
% 16.06/16.27 (assume a4689 (forall ((Xs tptp.list_nat) (Ys tptp.list_bool)) (= (tptp.size_s783543119881238752t_bool (tptp.product_nat_bool Xs Ys)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_nat Xs)) (tptp.size_size_list_bool Ys)))))
% 16.06/16.27 (assume a4690 (forall ((V2 tptp.num) (W tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 V2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_num_int tptp.numeral_numeral_int W))))))
% 16.06/16.27 (assume a4691 (forall ((K2 tptp.int) (L tptp.int)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int K2 L) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) L)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) L))))))
% 16.06/16.27 (assume a4692 (forall ((K2 tptp.int) (L tptp.int) (Q3 tptp.int) (R2 tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int K2 L) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) L) R2))))
% 16.06/16.27 (assume a4693 (forall ((A tptp.int) (B tptp.int) (Q3 tptp.int) (R2 tptp.int) (Q5 tptp.int) (R4 tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int A B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2))) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int A B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q5) R4))) (= Q3 Q5)))))
% 16.06/16.27 (assume a4694 (forall ((A tptp.int) (B tptp.int) (Q3 tptp.int) (R2 tptp.int) (Q5 tptp.int) (R4 tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int A B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2))) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int A B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q5) R4))) (= R2 R4)))))
% 16.06/16.27 (assume a4695 (forall ((N5 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N5)) (exists ((M5 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) N5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) M5))))))))
% 16.06/16.27 (assume a4696 (forall ((A4 tptp.set_VEBT_VEBT)) (=> (tptp.finite5795047828879050333T_VEBT A4) (exists ((Xs2 tptp.list_VEBT_VEBT)) (= (tptp.set_VEBT_VEBT2 Xs2) A4)))))
% 16.06/16.27 (assume a4697 (forall ((A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (exists ((Xs2 tptp.list_nat)) (= (tptp.set_nat2 Xs2) A4)))))
% 16.06/16.27 (assume a4698 (forall ((A4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (exists ((Xs2 tptp.list_complex)) (= (tptp.set_complex2 Xs2) A4)))))
% 16.06/16.27 (assume a4699 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (exists ((Xs2 tptp.list_P6011104703257516679at_nat)) (= (tptp.set_Pr5648618587558075414at_nat Xs2) A4)))))
% 16.06/16.27 (assume a4700 (forall ((F tptp.fun_nat_nat) (U tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N2) (tptp.aa_nat_nat F N2)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ed F) U)))))))
% 16.06/16.27 (assume a4701 (forall ((A4 tptp.set_complex) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (tptp.finite8712137658972009173omplex (tptp.collect_list_complex (tptp.aa_nat8039161444313734436x_bool (tptp.aTP_Lamm_ee A4) N))))))
% 16.06/16.27 (assume a4702 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (tptp.finite500796754983035824at_nat (tptp.collec3343600615725829874at_nat (tptp.aa_nat1772366067986465313t_bool (tptp.aTP_Lamm_ef A4) N))))))
% 16.06/16.27 (assume a4703 (forall ((A4 tptp.set_VEBT_VEBT) (N tptp.nat)) (=> (tptp.finite5795047828879050333T_VEBT A4) (tptp.finite3004134309566078307T_VEBT (tptp.collec5608196760682091941T_VEBT (tptp.aa_nat1297483763028037422T_bool (tptp.aTP_Lamm_eg A4) N))))))
% 16.06/16.27 (assume a4704 (forall ((A4 tptp.set_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (tptp.finite7866827932528546246t_bool (tptp.collect_list_bool (tptp.aa_nat4862889769322786699l_bool (tptp.aTP_Lamm_eh A4) N))))))
% 16.06/16.27 (assume a4705 (forall ((A4 tptp.set_int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (tptp.finite3922522038869484883st_int (tptp.collect_list_int (tptp.aa_nat1619170893822700070t_bool (tptp.aTP_Lamm_ei A4) N))))))
% 16.06/16.27 (assume a4706 (forall ((A4 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.finite8100373058378681591st_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_ej A4) N))))))
% 16.06/16.27 (assume a4707 (forall ((K2 tptp.int)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int K2 tptp.zero_zero_int) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) K2)))))
% 16.06/16.27 (assume a4708 (forall ((K2 tptp.int) (L tptp.int) (Q3 tptp.int) (R2 tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int K2 L) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) L) Q3))))
% 16.06/16.27 (assume a4709 (forall ((A4 tptp.set_complex) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (tptp.finite8712137658972009173omplex (tptp.collect_list_complex (tptp.aa_nat8039161444313734436x_bool (tptp.aTP_Lamm_ek A4) N))))))
% 16.06/16.27 (assume a4710 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (tptp.finite500796754983035824at_nat (tptp.collec3343600615725829874at_nat (tptp.aa_nat1772366067986465313t_bool (tptp.aTP_Lamm_el A4) N))))))
% 16.06/16.27 (assume a4711 (forall ((A4 tptp.set_VEBT_VEBT) (N tptp.nat)) (=> (tptp.finite5795047828879050333T_VEBT A4) (tptp.finite3004134309566078307T_VEBT (tptp.collec5608196760682091941T_VEBT (tptp.aa_nat1297483763028037422T_bool (tptp.aTP_Lamm_em A4) N))))))
% 16.06/16.27 (assume a4712 (forall ((A4 tptp.set_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (tptp.finite7866827932528546246t_bool (tptp.collect_list_bool (tptp.aa_nat4862889769322786699l_bool (tptp.aTP_Lamm_en A4) N))))))
% 16.06/16.27 (assume a4713 (forall ((A4 tptp.set_int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (tptp.finite3922522038869484883st_int (tptp.collect_list_int (tptp.aa_nat1619170893822700070t_bool (tptp.aTP_Lamm_eo A4) N))))))
% 16.06/16.27 (assume a4714 (forall ((A4 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.finite8100373058378681591st_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_ep A4) N))))))
% 16.06/16.27 (assume a4715 (forall ((L tptp.int) (K2 tptp.int) (Q3 tptp.int)) (=> (not (= L tptp.zero_zero_int)) (=> (= K2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q3) L)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int K2 L) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) tptp.zero_zero_int)))))))
% 16.06/16.27 (assume a4716 (forall ((A tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) A))))
% 16.06/16.27 (assume a4717 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) A))))
% 16.06/16.27 (assume a4718 (forall ((A tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) A))))
% 16.06/16.27 (assume a4719 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) A))))
% 16.06/16.27 (assume a4720 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) A))))
% 16.06/16.27 (assume a4721 (forall ((A tptp.rat) (B tptp.rat)) (or (= A B) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A))))))
% 16.06/16.27 (assume a4722 (forall ((A tptp.num) (B tptp.num)) (or (= A B) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B))) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A))))))
% 16.06/16.27 (assume a4723 (forall ((A tptp.nat) (B tptp.nat)) (or (= A B) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A))))))
% 16.06/16.27 (assume a4724 (forall ((A tptp.int) (B tptp.int)) (or (= A B) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A))))))
% 16.06/16.27 (assume a4725 (forall ((N5 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat N5) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N5)))))
% 16.06/16.27 (assume a4726 (forall ((B2 tptp.real) (A2 tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A2) B2)))))
% 16.06/16.27 (assume a4727 (forall ((B2 tptp.rat) (A2 tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A2) B2)))))
% 16.06/16.27 (assume a4728 (forall ((B2 tptp.num) (A2 tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A2))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A2) B2)))))
% 16.06/16.27 (assume a4729 (forall ((B2 tptp.nat) (A2 tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A2) B2)))))
% 16.06/16.27 (assume a4730 (forall ((B2 tptp.int) (A2 tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A2) B2)))))
% 16.06/16.27 (assume a4731 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 16.06/16.27 (assume a4732 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.zero_zero_rat) A)))
% 16.06/16.27 (assume a4733 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 16.06/16.27 (assume a4734 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 16.06/16.27 (assume a4735 (forall ((X2 tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit0 X2)))))
% 16.06/16.27 (assume a4736 (forall ((K2 tptp.int) (L tptp.int) (Q3 tptp.int) (R2 tptp.int)) (= (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int K2 L) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2))) (and (= K2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int L) Q3)) R2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) L)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) R2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R2) L)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) L))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) R2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int R2) tptp.zero_zero_int)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int))) (= Q3 tptp.zero_zero_int))))))))
% 16.06/16.28 (assume a4737 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B) A)))))))
% 16.06/16.28 (assume a4738 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) tptp.one_one_int)) A))) tptp.one_one_int)))))
% 16.06/16.28 (assume a4739 (forall ((X tptp.set_nat) (Xa tptp.set_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Xa)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.ord_max_set_nat X) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X) Xa))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.ord_max_set_nat X) Xa) X)))))
% 16.06/16.28 (assume a4740 (forall ((X tptp.rat) (Xa tptp.rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Xa)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat X) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Xa))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat X) Xa) X)))))
% 16.06/16.28 (assume a4741 (forall ((X tptp.num) (Xa tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Xa)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num X) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Xa))) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.ord_max_num X) Xa) X)))))
% 16.06/16.28 (assume a4742 (forall ((X tptp.nat) (Xa tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Xa)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Xa))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) Xa) X)))))
% 16.06/16.28 (assume a4743 (forall ((X tptp.int) (Xa tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X) Xa) Xa)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int X) Xa) X)))))
% 16.06/16.28 (assume a4744 (forall ((A4 tptp.set_int) (A tptp.int) (B4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.minus_minus_set_int A4 (tptp.insert_int A B4)))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.minus_minus_set_int A4 B4))))))
% 16.06/16.28 (assume a4745 (forall ((A4 tptp.set_bool) (A tptp.bool) (B4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool (tptp.minus_minus_set_bool A4 (tptp.insert_bool A B4)))) (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool (tptp.minus_minus_set_bool A4 B4))))))
% 16.06/16.28 (assume a4746 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (A tptp.produc3843707927480180839at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.insert9069300056098147895at_nat A B4)))) (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) B4))))))
% 16.06/16.28 (assume a4747 (forall ((A4 tptp.set_complex) (A tptp.complex) (B4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A B4)))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.minus_811609699411566653omplex A4 B4))))))
% 16.06/16.28 (assume a4748 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_prod_nat_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.insert8211810215607154385at_nat A B4)))) (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4))))))
% 16.06/16.28 (assume a4749 (forall ((A4 tptp.set_nat) (A tptp.nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat A B4)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))))))
% 16.06/16.28 (assume a4750 (forall ((K2 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_eq K2))))))
% 16.06/16.28 (assume a4751 (forall ((A4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (tptp.finite6551019134538273531omplex (tptp.collect_set_complex (tptp.aTP_Lamm_er A4))))))
% 16.06/16.28 (assume a4752 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (tptp.finite9047747110432174090at_nat (tptp.collec5514110066124741708at_nat (tptp.aa_set7594618562247239262t_bool tptp.aTP_Lamm_es A4))))))
% 16.06/16.28 (assume a4753 (forall ((A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.finite1152437895449049373et_nat (tptp.collect_set_nat (tptp.aTP_Lamm_et A4))))))
% 16.06/16.28 (assume a4754 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aTP_Lamm_eu N)))))))
% 16.06/16.28 (assume a4755 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aTP_Lamm_ev N)))))))
% 16.06/16.28 (assume a4756 (forall ((S3 tptp.set_Pr4329608150637261639at_nat) (P tptp.fun_se8353504738346895699t_bool)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat S3)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P tptp.bot_bo228742789529271731at_nat)) (=> (forall ((T4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le2604355607129572851at_nat T4) S3)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P T4)) (exists ((X tptp.produc3843707927480180839at_nat)) (and (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat S3) T4))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P (tptp.insert9069300056098147895at_nat X T4)))))))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P S3)))))))
% 16.06/16.28 (assume a4757 (forall ((S3 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((T4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_less_set_complex T4) S3)) (=> (tptp.pp (tptp.aa_set_complex_bool P T4)) (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) (tptp.minus_811609699411566653omplex S3 T4))) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X T4)))))))) (tptp.pp (tptp.aa_set_complex_bool P S3)))))))
% 16.06/16.28 (assume a4758 (forall ((S3 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_se8074476271188067385t_bool)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat S3)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((T4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le7866589430770878221at_nat T4) S3)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P T4)) (exists ((X tptp.product_prod_nat_nat)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat S3) T4))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.insert8211810215607154385at_nat X T4)))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P S3)))))))
% 16.06/16.28 (assume a4759 (forall ((S3 tptp.set_bool) (P tptp.fun_set_bool_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S3)) (=> (tptp.pp (tptp.aa_set_bool_bool P tptp.bot_bot_set_bool)) (=> (forall ((T4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_set_bool T4) S3)) (=> (tptp.pp (tptp.aa_set_bool_bool P T4)) (exists ((X tptp.bool)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X) (tptp.minus_minus_set_bool S3 T4))) (tptp.pp (tptp.aa_set_bool_bool P (tptp.insert_bool X T4)))))))) (tptp.pp (tptp.aa_set_bool_bool P S3)))))))
% 16.06/16.28 (assume a4760 (forall ((S3 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((T4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_set_int T4) S3)) (=> (tptp.pp (tptp.aa_set_int_bool P T4)) (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) (tptp.minus_minus_set_int S3 T4))) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X T4)))))))) (tptp.pp (tptp.aa_set_int_bool P S3)))))))
% 16.06/16.28 (assume a4761 (forall ((S3 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((T4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_set_nat T4) S3)) (=> (tptp.pp (tptp.aa_set_nat_bool P T4)) (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat S3) T4))) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X T4)))))))) (tptp.pp (tptp.aa_set_nat_bool P S3)))))))
% 16.06/16.28 (assume a4762 (forall ((P tptp.fun_se8353504738346895699t_bool) (B4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P tptp.bot_bo228742789529271731at_nat)) (=> (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat B4))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P B4))) (=> (forall ((A7 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A7)) (=> (not (= A7 tptp.bot_bo228742789529271731at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A7) B4)) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X) A7)) (tptp.pp (tptp.aa_set4148026973699692364t_bool P (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A7) (tptp.insert9069300056098147895at_nat X tptp.bot_bo228742789529271731at_nat)))))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P A7))))))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P B4)))))))
% 16.06/16.28 (assume a4763 (forall ((P tptp.fun_set_real_bool) (B4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (=> (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4))) (tptp.pp (tptp.aa_set_real_bool P B4))) (=> (forall ((A7 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A7)) (=> (not (= A7 tptp.bot_bot_set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A7) B4)) (=> (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A7)) (tptp.pp (tptp.aa_set_real_bool P (tptp.minus_minus_set_real A7 (tptp.insert_real X tptp.bot_bot_set_real)))))) (tptp.pp (tptp.aa_set_real_bool P A7))))))) (tptp.pp (tptp.aa_set_real_bool P B4)))))))
% 16.06/16.28 (assume a4764 (forall ((P tptp.fun_set_complex_bool) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4))) (tptp.pp (tptp.aa_set_complex_bool P B4))) (=> (forall ((A7 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A7)) (=> (not (= A7 tptp.bot_bot_set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A7) B4)) (=> (forall ((X tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A7)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.minus_811609699411566653omplex A7 (tptp.insert_complex X tptp.bot_bot_set_complex)))))) (tptp.pp (tptp.aa_set_complex_bool P A7))))))) (tptp.pp (tptp.aa_set_complex_bool P B4)))))))
% 16.06/16.28 (assume a4765 (forall ((P tptp.fun_se8074476271188067385t_bool) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P tptp.bot_bo2099793752762293965at_nat)) (=> (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B4))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P B4))) (=> (forall ((A7 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A7)) (=> (not (= A7 tptp.bot_bo2099793752762293965at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A7) B4)) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) A7)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A7) (tptp.insert8211810215607154385at_nat X tptp.bot_bo2099793752762293965at_nat)))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P A7))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P B4)))))))
% 16.06/16.28 (assume a4766 (forall ((P tptp.fun_set_bool_bool) (B4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool P tptp.bot_bot_set_bool)) (=> (=> (not (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4))) (tptp.pp (tptp.aa_set_bool_bool P B4))) (=> (forall ((A7 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A7)) (=> (not (= A7 tptp.bot_bot_set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A7) B4)) (=> (forall ((X tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X) A7)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.minus_minus_set_bool A7 (tptp.insert_bool X tptp.bot_bot_set_bool)))))) (tptp.pp (tptp.aa_set_bool_bool P A7))))))) (tptp.pp (tptp.aa_set_bool_bool P B4)))))))
% 16.06/16.28 (assume a4767 (forall ((P tptp.fun_set_int_bool) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4))) (tptp.pp (tptp.aa_set_int_bool P B4))) (=> (forall ((A7 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A7)) (=> (not (= A7 tptp.bot_bot_set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A7) B4)) (=> (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A7)) (tptp.pp (tptp.aa_set_int_bool P (tptp.minus_minus_set_int A7 (tptp.insert_int X tptp.bot_bot_set_int)))))) (tptp.pp (tptp.aa_set_int_bool P A7))))))) (tptp.pp (tptp.aa_set_int_bool P B4)))))))
% 16.06/16.28 (assume a4768 (forall ((P tptp.fun_set_nat_bool) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4))) (tptp.pp (tptp.aa_set_nat_bool P B4))) (=> (forall ((A7 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A7)) (=> (not (= A7 tptp.bot_bot_set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A7) B4)) (=> (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A7)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A7) (tptp.insert_nat X tptp.bot_bot_set_nat)))))) (tptp.pp (tptp.aa_set_nat_bool P A7))))))) (tptp.pp (tptp.aa_set_nat_bool P B4)))))))
% 16.06/16.28 (assume a4769 (forall ((B4 tptp.set_Pr4329608150637261639at_nat) (P tptp.fun_se8353504738346895699t_bool)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat B4)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P tptp.bot_bo228742789529271731at_nat)) (=> (forall ((A7 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A7)) (=> (not (= A7 tptp.bot_bo228742789529271731at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A7) B4)) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X) A7)) (tptp.pp (tptp.aa_set4148026973699692364t_bool P (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A7) (tptp.insert9069300056098147895at_nat X tptp.bot_bo228742789529271731at_nat)))))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P A7))))))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P B4)))))))
% 16.06/16.28 (assume a4770 (forall ((B4 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((A7 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A7)) (=> (not (= A7 tptp.bot_bot_set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A7) B4)) (=> (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A7)) (tptp.pp (tptp.aa_set_real_bool P (tptp.minus_minus_set_real A7 (tptp.insert_real X tptp.bot_bot_set_real)))))) (tptp.pp (tptp.aa_set_real_bool P A7))))))) (tptp.pp (tptp.aa_set_real_bool P B4)))))))
% 16.06/16.28 (assume a4771 (forall ((B4 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((A7 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A7)) (=> (not (= A7 tptp.bot_bot_set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A7) B4)) (=> (forall ((X tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A7)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.minus_811609699411566653omplex A7 (tptp.insert_complex X tptp.bot_bot_set_complex)))))) (tptp.pp (tptp.aa_set_complex_bool P A7))))))) (tptp.pp (tptp.aa_set_complex_bool P B4)))))))
% 16.06/16.28 (assume a4772 (forall ((B4 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_se8074476271188067385t_bool)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((A7 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A7)) (=> (not (= A7 tptp.bot_bo2099793752762293965at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A7) B4)) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) A7)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A7) (tptp.insert8211810215607154385at_nat X tptp.bot_bo2099793752762293965at_nat)))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P A7))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P B4)))))))
% 16.06/16.28 (assume a4773 (forall ((B4 tptp.set_bool) (P tptp.fun_set_bool_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool P tptp.bot_bot_set_bool)) (=> (forall ((A7 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A7)) (=> (not (= A7 tptp.bot_bot_set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A7) B4)) (=> (forall ((X tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X) A7)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.minus_minus_set_bool A7 (tptp.insert_bool X tptp.bot_bot_set_bool)))))) (tptp.pp (tptp.aa_set_bool_bool P A7))))))) (tptp.pp (tptp.aa_set_bool_bool P B4)))))))
% 16.06/16.28 (assume a4774 (forall ((B4 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((A7 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A7)) (=> (not (= A7 tptp.bot_bot_set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A7) B4)) (=> (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A7)) (tptp.pp (tptp.aa_set_int_bool P (tptp.minus_minus_set_int A7 (tptp.insert_int X tptp.bot_bot_set_int)))))) (tptp.pp (tptp.aa_set_int_bool P A7))))))) (tptp.pp (tptp.aa_set_int_bool P B4)))))))
% 16.06/16.28 (assume a4775 (forall ((B4 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((A7 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A7)) (=> (not (= A7 tptp.bot_bot_set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A7) B4)) (=> (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A7)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A7) (tptp.insert_nat X tptp.bot_bot_set_nat)))))) (tptp.pp (tptp.aa_set_nat_bool P A7))))))) (tptp.pp (tptp.aa_set_nat_bool P B4)))))))
% 16.06/16.28 (assume a4776 (forall ((A tptp.int) (A4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.insert_int A A4))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)))))
% 16.06/16.28 (assume a4777 (forall ((A tptp.bool) (A4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool (tptp.insert_bool A A4))) (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)))))
% 16.06/16.28 (assume a4778 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat (tptp.insert9069300056098147895at_nat A A4))) (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A4)))))
% 16.06/16.28 (assume a4779 (forall ((A tptp.nat) (A4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.insert_nat A A4))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)))))
% 16.06/16.28 (assume a4780 (forall ((A tptp.complex) (A4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.insert_complex A A4))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)))))
% 16.06/16.28 (assume a4781 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat (tptp.insert8211810215607154385at_nat A A4))) (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)))))
% 16.06/16.28 (assume a4782 (forall ((M7 tptp.set_list_VEBT_VEBT)) (=> (tptp.finite3004134309566078307T_VEBT M7) (exists ((N2 tptp.nat)) (forall ((X tptp.list_VEBT_VEBT)) (=> (tptp.member2936631157270082147T_VEBT X M7) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_s6755466524823107622T_VEBT X)) N2))))))))
% 16.06/16.28 (assume a4783 (forall ((M7 tptp.set_list_bool)) (=> (tptp.finite7866827932528546246t_bool M7) (exists ((N2 tptp.nat)) (forall ((X tptp.list_bool)) (=> (tptp.member_list_bool X M7) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_bool X)) N2))))))))
% 16.06/16.28 (assume a4784 (forall ((M7 tptp.set_list_nat)) (=> (tptp.finite8100373058378681591st_nat M7) (exists ((N2 tptp.nat)) (forall ((X tptp.list_nat)) (=> (tptp.member_list_nat X M7) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_nat X)) N2))))))))
% 16.06/16.28 (assume a4785 (forall ((M7 tptp.set_list_int)) (=> (tptp.finite3922522038869484883st_int M7) (exists ((N2 tptp.nat)) (forall ((X tptp.list_int)) (=> (tptp.member_list_int X M7) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_int X)) N2))))))))
% 16.06/16.28 (assume a4786 (forall ((A4 tptp.set_real) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (exists ((X5 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X5)) (forall ((Xa tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Xa) A4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X5) Xa)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4787 (forall ((A4 tptp.set_bool) (A tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4)) (exists ((X5 tptp.bool)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_eq_bool A) X5)) (forall ((Xa tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Xa) A4)) (=> (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_eq_bool X5) Xa)) (= (tptp.pp X5) (tptp.pp Xa)))))))))))
% 16.06/16.28 (assume a4788 (forall ((A4 tptp.set_set_nat) (A tptp.set_nat)) (=> (tptp.finite1152437895449049373et_nat A4) (=> (tptp.member_set_nat A A4) (exists ((X5 tptp.set_nat)) (and (tptp.member_set_nat X5 A4) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A) X5)) (forall ((Xa tptp.set_nat)) (=> (tptp.member_set_nat Xa A4) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X5) Xa)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4789 (forall ((A4 tptp.set_rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A4)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat A) A4)) (exists ((X5 tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) X5)) (forall ((Xa tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat Xa) A4)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Xa)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4790 (forall ((A4 tptp.set_num) (A tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A4)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num A) A4)) (exists ((X5 tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X5) A4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) X5)) (forall ((Xa tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) A4)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Xa)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4791 (forall ((A4 tptp.set_nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4)) (exists ((X5 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) X5)) (forall ((Xa tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) A4)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Xa)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4792 (forall ((A4 tptp.set_int) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4)) (exists ((X5 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) X5)) (forall ((Xa tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) A4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X5) Xa)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4793 (forall ((A4 tptp.set_real) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (exists ((X5 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X5) A)) (forall ((Xa tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Xa) A4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Xa) X5)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4794 (forall ((A4 tptp.set_bool) (A tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4)) (exists ((X5 tptp.bool)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_eq_bool X5) A)) (forall ((Xa tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Xa) A4)) (=> (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_eq_bool Xa) X5)) (= (tptp.pp X5) (tptp.pp Xa)))))))))))
% 16.06/16.28 (assume a4795 (forall ((A4 tptp.set_set_nat) (A tptp.set_nat)) (=> (tptp.finite1152437895449049373et_nat A4) (=> (tptp.member_set_nat A A4) (exists ((X5 tptp.set_nat)) (and (tptp.member_set_nat X5 A4) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X5) A)) (forall ((Xa tptp.set_nat)) (=> (tptp.member_set_nat Xa A4) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Xa) X5)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4796 (forall ((A4 tptp.set_rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A4)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat A) A4)) (exists ((X5 tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) A)) (forall ((Xa tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat Xa) A4)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Xa) X5)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4797 (forall ((A4 tptp.set_num) (A tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A4)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num A) A4)) (exists ((X5 tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X5) A4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) A)) (forall ((Xa tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) A4)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Xa) X5)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4798 (forall ((A4 tptp.set_nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4)) (exists ((X5 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) A)) (forall ((Xa tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) A4)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa) X5)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4799 (forall ((A4 tptp.set_int) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4)) (exists ((X5 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X5) A)) (forall ((Xa tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) A4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Xa) X5)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4800 (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex tptp.bot_bot_set_complex)))
% 16.06/16.28 (assume a4801 (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.28 (assume a4802 (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool tptp.bot_bot_set_bool)))
% 16.06/16.28 (assume a4803 (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat tptp.bot_bot_set_nat)))
% 16.06/16.28 (assume a4804 (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int tptp.bot_bot_set_int)))
% 16.06/16.28 (assume a4805 (forall ((S3 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3))) (not (= S3 tptp.bot_bot_set_complex)))))
% 16.06/16.28 (assume a4806 (forall ((S3 tptp.set_Pr1261947904930325089at_nat)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat S3))) (not (= S3 tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.28 (assume a4807 (forall ((S3 tptp.set_bool)) (=> (not (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S3))) (not (= S3 tptp.bot_bot_set_bool)))))
% 16.06/16.28 (assume a4808 (forall ((S3 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3))) (not (= S3 tptp.bot_bot_set_nat)))))
% 16.06/16.28 (assume a4809 (forall ((S3 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3))) (not (= S3 tptp.bot_bot_set_int)))))
% 16.06/16.28 (assume a4810 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4))))))
% 16.06/16.28 (assume a4811 (forall ((B4 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4))))))
% 16.06/16.28 (assume a4812 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4))))))
% 16.06/16.28 (assume a4813 (forall ((S3 tptp.set_complex) (T3 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3))) (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)))))))
% 16.06/16.28 (assume a4814 (forall ((S3 tptp.set_Pr1261947904930325089at_nat) (T3 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat S3) T3)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat S3))) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat T3)))))))
% 16.06/16.28 (assume a4815 (forall ((S3 tptp.set_nat) (T3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)))))))
% 16.06/16.28 (assume a4816 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4))))))
% 16.06/16.28 (assume a4817 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4))))))
% 16.06/16.28 (assume a4818 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4))))))
% 16.06/16.28 (assume a4819 (forall ((A4 tptp.set_int) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.insert_int A A4))))))
% 16.06/16.28 (assume a4820 (forall ((A4 tptp.set_bool) (A tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool (tptp.insert_bool A A4))))))
% 16.06/16.28 (assume a4821 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (A tptp.produc3843707927480180839at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A4)) (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat (tptp.insert9069300056098147895at_nat A A4))))))
% 16.06/16.28 (assume a4822 (forall ((A4 tptp.set_nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.insert_nat A A4))))))
% 16.06/16.28 (assume a4823 (forall ((A4 tptp.set_complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.insert_complex A A4))))))
% 16.06/16.28 (assume a4824 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat (tptp.insert8211810215607154385at_nat A A4))))))
% 16.06/16.28 (assume a4825 (forall ((A4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (not (= A4 tptp.bot_bot_set_bool)) (exists ((X5 tptp.bool)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (forall ((Xa tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Xa) A4)) (=> (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_eq_bool Xa) X5)) (= (tptp.pp X5) (tptp.pp Xa)))))))))))
% 16.06/16.28 (assume a4826 (forall ((A4 tptp.set_set_nat)) (=> (tptp.finite1152437895449049373et_nat A4) (=> (not (= A4 tptp.bot_bot_set_set_nat)) (exists ((X5 tptp.set_nat)) (and (tptp.member_set_nat X5 A4) (forall ((Xa tptp.set_nat)) (=> (tptp.member_set_nat Xa A4) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Xa) X5)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4827 (forall ((A4 tptp.set_rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A4)) (=> (not (= A4 tptp.bot_bot_set_rat)) (exists ((X5 tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X5) A4)) (forall ((Xa tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat Xa) A4)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Xa) X5)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4828 (forall ((A4 tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A4)) (=> (not (= A4 tptp.bot_bot_set_num)) (exists ((X5 tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X5) A4)) (forall ((Xa tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) A4)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Xa) X5)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4829 (forall ((A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (not (= A4 tptp.bot_bot_set_nat)) (exists ((X5 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (forall ((Xa tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) A4)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa) X5)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4830 (forall ((A4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (not (= A4 tptp.bot_bot_set_int)) (exists ((X5 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (forall ((Xa tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) A4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Xa) X5)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4831 (forall ((A4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (not (= A4 tptp.bot_bot_set_bool)) (exists ((X5 tptp.bool)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (forall ((Xa tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Xa) A4)) (=> (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_eq_bool X5) Xa)) (= (tptp.pp X5) (tptp.pp Xa)))))))))))
% 16.06/16.28 (assume a4832 (forall ((A4 tptp.set_set_nat)) (=> (tptp.finite1152437895449049373et_nat A4) (=> (not (= A4 tptp.bot_bot_set_set_nat)) (exists ((X5 tptp.set_nat)) (and (tptp.member_set_nat X5 A4) (forall ((Xa tptp.set_nat)) (=> (tptp.member_set_nat Xa A4) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X5) Xa)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4833 (forall ((A4 tptp.set_rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A4)) (=> (not (= A4 tptp.bot_bot_set_rat)) (exists ((X5 tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X5) A4)) (forall ((Xa tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat Xa) A4)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X5) Xa)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4834 (forall ((A4 tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A4)) (=> (not (= A4 tptp.bot_bot_set_num)) (exists ((X5 tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X5) A4)) (forall ((Xa tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) A4)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X5) Xa)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4835 (forall ((A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (not (= A4 tptp.bot_bot_set_nat)) (exists ((X5 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (forall ((Xa tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) A4)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X5) Xa)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4836 (forall ((A4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (not (= A4 tptp.bot_bot_set_int)) (exists ((X5 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (forall ((Xa tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) A4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X5) Xa)) (= X5 Xa))))))))))
% 16.06/16.28 (assume a4837 (forall ((P tptp.fun_se8353504738346895699t_bool) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (forall ((A7 tptp.set_Pr4329608150637261639at_nat)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A7))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P A7)))) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P tptp.bot_bo228742789529271731at_nat)) (=> (forall ((X5 tptp.produc3843707927480180839at_nat) (F3 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat F3)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X5) F3))) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P F3)) (tptp.pp (tptp.aa_set4148026973699692364t_bool P (tptp.insert9069300056098147895at_nat X5 F3))))))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P A4)))))))
% 16.06/16.28 (assume a4838 (forall ((P tptp.fun_set_real_bool) (A4 tptp.set_real)) (=> (forall ((A7 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A7))) (tptp.pp (tptp.aa_set_real_bool P A7)))) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real) (F3 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F3)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) F3))) (=> (tptp.pp (tptp.aa_set_real_bool P F3)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X5 F3))))))) (tptp.pp (tptp.aa_set_real_bool P A4)))))))
% 16.06/16.28 (assume a4839 (forall ((P tptp.fun_set_complex_bool) (A4 tptp.set_complex)) (=> (forall ((A7 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A7))) (tptp.pp (tptp.aa_set_complex_bool P A7)))) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((X5 tptp.complex) (F3 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F3)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) F3))) (=> (tptp.pp (tptp.aa_set_complex_bool P F3)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X5 F3))))))) (tptp.pp (tptp.aa_set_complex_bool P A4)))))))
% 16.06/16.28 (assume a4840 (forall ((P tptp.fun_se8074476271188067385t_bool) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((A7 tptp.set_Pr1261947904930325089at_nat)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A7))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P A7)))) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((X5 tptp.product_prod_nat_nat) (F3 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F3)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X5) F3))) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P F3)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.insert8211810215607154385at_nat X5 F3))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P A4)))))))
% 16.06/16.28 (assume a4841 (forall ((P tptp.fun_set_bool_bool) (A4 tptp.set_bool)) (=> (forall ((A7 tptp.set_bool)) (=> (not (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A7))) (tptp.pp (tptp.aa_set_bool_bool P A7)))) (=> (tptp.pp (tptp.aa_set_bool_bool P tptp.bot_bot_set_bool)) (=> (forall ((X5 tptp.bool) (F3 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool F3)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) F3))) (=> (tptp.pp (tptp.aa_set_bool_bool P F3)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.insert_bool X5 F3))))))) (tptp.pp (tptp.aa_set_bool_bool P A4)))))))
% 16.06/16.28 (assume a4842 (forall ((P tptp.fun_set_nat_bool) (A4 tptp.set_nat)) (=> (forall ((A7 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A7))) (tptp.pp (tptp.aa_set_nat_bool P A7)))) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((X5 tptp.nat) (F3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F3)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) F3))) (=> (tptp.pp (tptp.aa_set_nat_bool P F3)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X5 F3))))))) (tptp.pp (tptp.aa_set_nat_bool P A4)))))))
% 16.06/16.28 (assume a4843 (forall ((P tptp.fun_set_int_bool) (A4 tptp.set_int)) (=> (forall ((A7 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A7))) (tptp.pp (tptp.aa_set_int_bool P A7)))) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int) (F3 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F3)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) F3))) (=> (tptp.pp (tptp.aa_set_int_bool P F3)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X5 F3))))))) (tptp.pp (tptp.aa_set_int_bool P A4)))))))
% 16.06/16.28 (assume a4844 (forall ((F4 tptp.set_Pr4329608150637261639at_nat) (P tptp.fun_se8353504738346895699t_bool)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat F4)) (=> (not (= F4 tptp.bot_bo228742789529271731at_nat)) (=> (forall ((X5 tptp.produc3843707927480180839at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool P (tptp.insert9069300056098147895at_nat X5 tptp.bot_bo228742789529271731at_nat)))) (=> (forall ((X5 tptp.produc3843707927480180839at_nat) (F3 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat F3)) (=> (not (= F3 tptp.bot_bo228742789529271731at_nat)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X5) F3))) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P F3)) (tptp.pp (tptp.aa_set4148026973699692364t_bool P (tptp.insert9069300056098147895at_nat X5 F3)))))))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P F4))))))))
% 16.06/16.28 (assume a4845 (forall ((F4 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F4)) (=> (not (= F4 tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X5 tptp.bot_bot_set_real)))) (=> (forall ((X5 tptp.real) (F3 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F3)) (=> (not (= F3 tptp.bot_bot_set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) F3))) (=> (tptp.pp (tptp.aa_set_real_bool P F3)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X5 F3)))))))) (tptp.pp (tptp.aa_set_real_bool P F4))))))))
% 16.06/16.28 (assume a4846 (forall ((F4 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F4)) (=> (not (= F4 tptp.bot_bot_set_complex)) (=> (forall ((X5 tptp.complex)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X5 tptp.bot_bot_set_complex)))) (=> (forall ((X5 tptp.complex) (F3 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F3)) (=> (not (= F3 tptp.bot_bot_set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) F3))) (=> (tptp.pp (tptp.aa_set_complex_bool P F3)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X5 F3)))))))) (tptp.pp (tptp.aa_set_complex_bool P F4))))))))
% 16.06/16.28 (assume a4847 (forall ((F4 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_se8074476271188067385t_bool)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F4)) (=> (not (= F4 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((X5 tptp.product_prod_nat_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.insert8211810215607154385at_nat X5 tptp.bot_bo2099793752762293965at_nat)))) (=> (forall ((X5 tptp.product_prod_nat_nat) (F3 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F3)) (=> (not (= F3 tptp.bot_bo2099793752762293965at_nat)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X5) F3))) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P F3)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.insert8211810215607154385at_nat X5 F3)))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P F4))))))))
% 16.06/16.28 (assume a4848 (forall ((F4 tptp.set_bool) (P tptp.fun_set_bool_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool F4)) (=> (not (= F4 tptp.bot_bot_set_bool)) (=> (forall ((X5 tptp.bool)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.insert_bool X5 tptp.bot_bot_set_bool)))) (=> (forall ((X5 tptp.bool) (F3 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool F3)) (=> (not (= F3 tptp.bot_bot_set_bool)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) F3))) (=> (tptp.pp (tptp.aa_set_bool_bool P F3)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.insert_bool X5 F3)))))))) (tptp.pp (tptp.aa_set_bool_bool P F4))))))))
% 16.06/16.28 (assume a4849 (forall ((F4 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F4)) (=> (not (= F4 tptp.bot_bot_set_nat)) (=> (forall ((X5 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X5 tptp.bot_bot_set_nat)))) (=> (forall ((X5 tptp.nat) (F3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F3)) (=> (not (= F3 tptp.bot_bot_set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) F3))) (=> (tptp.pp (tptp.aa_set_nat_bool P F3)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X5 F3)))))))) (tptp.pp (tptp.aa_set_nat_bool P F4))))))))
% 16.06/16.28 (assume a4850 (forall ((F4 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F4)) (=> (not (= F4 tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X5 tptp.bot_bot_set_int)))) (=> (forall ((X5 tptp.int) (F3 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F3)) (=> (not (= F3 tptp.bot_bot_set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) F3))) (=> (tptp.pp (tptp.aa_set_int_bool P F3)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X5 F3)))))))) (tptp.pp (tptp.aa_set_int_bool P F4))))))))
% 16.06/16.28 (assume a4851 (forall ((F4 tptp.set_Pr4329608150637261639at_nat) (P tptp.fun_se8353504738346895699t_bool)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat F4)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P tptp.bot_bo228742789529271731at_nat)) (=> (forall ((X5 tptp.produc3843707927480180839at_nat) (F3 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat F3)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X5) F3))) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P F3)) (tptp.pp (tptp.aa_set4148026973699692364t_bool P (tptp.insert9069300056098147895at_nat X5 F3))))))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P F4)))))))
% 16.06/16.28 (assume a4852 (forall ((F4 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F4)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real) (F3 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F3)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) F3))) (=> (tptp.pp (tptp.aa_set_real_bool P F3)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X5 F3))))))) (tptp.pp (tptp.aa_set_real_bool P F4)))))))
% 16.06/16.28 (assume a4853 (forall ((F4 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F4)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((X5 tptp.complex) (F3 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F3)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) F3))) (=> (tptp.pp (tptp.aa_set_complex_bool P F3)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X5 F3))))))) (tptp.pp (tptp.aa_set_complex_bool P F4)))))))
% 16.06/16.28 (assume a4854 (forall ((F4 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_se8074476271188067385t_bool)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((X5 tptp.product_prod_nat_nat) (F3 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F3)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X5) F3))) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P F3)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.insert8211810215607154385at_nat X5 F3))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P F4)))))))
% 16.06/16.28 (assume a4855 (forall ((F4 tptp.set_bool) (P tptp.fun_set_bool_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool F4)) (=> (tptp.pp (tptp.aa_set_bool_bool P tptp.bot_bot_set_bool)) (=> (forall ((X5 tptp.bool) (F3 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool F3)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) F3))) (=> (tptp.pp (tptp.aa_set_bool_bool P F3)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.insert_bool X5 F3))))))) (tptp.pp (tptp.aa_set_bool_bool P F4)))))))
% 16.06/16.28 (assume a4856 (forall ((F4 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F4)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((X5 tptp.nat) (F3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F3)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) F3))) (=> (tptp.pp (tptp.aa_set_nat_bool P F3)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X5 F3))))))) (tptp.pp (tptp.aa_set_nat_bool P F4)))))))
% 16.06/16.28 (assume a4857 (forall ((F4 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F4)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int) (F3 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F3)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) F3))) (=> (tptp.pp (tptp.aa_set_int_bool P F3)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X5 F3))))))) (tptp.pp (tptp.aa_set_int_bool P F4)))))))
% 16.06/16.28 (assume a4858 (forall ((A tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A)) (or (= A tptp.bot_bo228742789529271731at_nat) (exists ((A8 tptp.set_Pr4329608150637261639at_nat) (A6 tptp.produc3843707927480180839at_nat)) (and (= A (tptp.insert9069300056098147895at_nat A6 A8)) (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A8))))))))
% 16.06/16.28 (assume a4859 (forall ((A tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A)) (or (= A tptp.bot_bot_set_complex) (exists ((A8 tptp.set_complex) (A6 tptp.complex)) (and (= A (tptp.insert_complex A6 A8)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A8))))))))
% 16.06/16.28 (assume a4860 (forall ((A tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A)) (or (= A tptp.bot_bo2099793752762293965at_nat) (exists ((A8 tptp.set_Pr1261947904930325089at_nat) (A6 tptp.product_prod_nat_nat)) (and (= A (tptp.insert8211810215607154385at_nat A6 A8)) (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A8))))))))
% 16.06/16.28 (assume a4861 (forall ((A tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A)) (or (= A tptp.bot_bot_set_bool) (exists ((A8 tptp.set_bool) (A6 tptp.bool)) (and (= A (tptp.insert_bool A6 A8)) (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A8))))))))
% 16.06/16.28 (assume a4862 (forall ((A tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A)) (or (= A tptp.bot_bot_set_nat) (exists ((A8 tptp.set_nat) (A6 tptp.nat)) (and (= A (tptp.insert_nat A6 A8)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A8))))))))
% 16.06/16.28 (assume a4863 (forall ((A tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A)) (or (= A tptp.bot_bot_set_int) (exists ((A8 tptp.set_int) (A6 tptp.int)) (and (= A (tptp.insert_int A6 A8)) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A8))))))))
% 16.06/16.28 (assume a4864 (forall ((A tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A)) (=> (not (= A tptp.bot_bo228742789529271731at_nat)) (not (forall ((A7 tptp.set_Pr4329608150637261639at_nat)) (=> (exists ((A3 tptp.produc3843707927480180839at_nat)) (= A (tptp.insert9069300056098147895at_nat A3 A7))) (not (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A7))))))))))
% 16.06/16.28 (assume a4865 (forall ((A tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A)) (=> (not (= A tptp.bot_bot_set_complex)) (not (forall ((A7 tptp.set_complex)) (=> (exists ((A3 tptp.complex)) (= A (tptp.insert_complex A3 A7))) (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A7))))))))))
% 16.06/16.28 (assume a4866 (forall ((A tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A)) (=> (not (= A tptp.bot_bo2099793752762293965at_nat)) (not (forall ((A7 tptp.set_Pr1261947904930325089at_nat)) (=> (exists ((A3 tptp.product_prod_nat_nat)) (= A (tptp.insert8211810215607154385at_nat A3 A7))) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A7))))))))))
% 16.06/16.28 (assume a4867 (forall ((A tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A)) (=> (not (= A tptp.bot_bot_set_bool)) (not (forall ((A7 tptp.set_bool)) (=> (exists ((A3 tptp.bool)) (= A (tptp.insert_bool A3 A7))) (not (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A7))))))))))
% 16.06/16.28 (assume a4868 (forall ((A tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A)) (=> (not (= A tptp.bot_bot_set_nat)) (not (forall ((A7 tptp.set_nat)) (=> (exists ((A3 tptp.nat)) (= A (tptp.insert_nat A3 A7))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A7))))))))))
% 16.06/16.28 (assume a4869 (forall ((A tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A)) (=> (not (= A tptp.bot_bot_set_int)) (not (forall ((A7 tptp.set_int)) (=> (exists ((A3 tptp.int)) (= A (tptp.insert_int A3 A7))) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A7))))))))))
% 16.06/16.28 (assume a4870 (forall ((F4 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (P tptp.fun_se8353504738346895699t_bool)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat F4)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat F4) A4)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P tptp.bot_bo228742789529271731at_nat)) (=> (forall ((A3 tptp.produc3843707927480180839at_nat) (F3 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat F3)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A3) A4)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat F3) A4)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A3) F3))) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P F3)) (tptp.pp (tptp.aa_set4148026973699692364t_bool P (tptp.insert9069300056098147895at_nat A3 F3))))))))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P F4))))))))
% 16.06/16.28 (assume a4871 (forall ((F4 tptp.set_real) (A4 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real F4) A4)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((A3 tptp.real) (F3 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real F3) A4)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) F3))) (=> (tptp.pp (tptp.aa_set_real_bool P F3)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real A3 F3))))))))) (tptp.pp (tptp.aa_set_real_bool P F4))))))))
% 16.06/16.28 (assume a4872 (forall ((F4 tptp.set_complex) (A4 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex F4) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((A3 tptp.complex) (F3 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex F3) A4)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) F3))) (=> (tptp.pp (tptp.aa_set_complex_bool P F3)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex A3 F3))))))))) (tptp.pp (tptp.aa_set_complex_bool P F4))))))))
% 16.06/16.28 (assume a4873 (forall ((F4 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_se8074476271188067385t_bool)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat F4) A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((A3 tptp.product_prod_nat_nat) (F3 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F3)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A3) A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat F3) A4)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A3) F3))) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P F3)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.insert8211810215607154385at_nat A3 F3))))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P F4))))))))
% 16.06/16.28 (assume a4874 (forall ((F4 tptp.set_bool) (A4 tptp.set_bool) (P tptp.fun_set_bool_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool F4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool F4) A4)) (=> (tptp.pp (tptp.aa_set_bool_bool P tptp.bot_bot_set_bool)) (=> (forall ((A3 tptp.bool) (F3 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool F3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) A4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool F3) A4)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) F3))) (=> (tptp.pp (tptp.aa_set_bool_bool P F3)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.insert_bool A3 F3))))))))) (tptp.pp (tptp.aa_set_bool_bool P F4))))))))
% 16.06/16.28 (assume a4875 (forall ((F4 tptp.set_int) (A4 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int F4) A4)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((A3 tptp.int) (F3 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int F3) A4)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) F3))) (=> (tptp.pp (tptp.aa_set_int_bool P F3)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int A3 F3))))))))) (tptp.pp (tptp.aa_set_int_bool P F4))))))))
% 16.06/16.28 (assume a4876 (forall ((F4 tptp.set_nat) (A4 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat F4) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((A3 tptp.nat) (F3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat F3) A4)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) F3))) (=> (tptp.pp (tptp.aa_set_nat_bool P F3)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat A3 F3))))))))) (tptp.pp (tptp.aa_set_nat_bool P F4))))))))
% 16.06/16.28 (assume a4877 (forall ((F4 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (P tptp.fun_se8353504738346895699t_bool)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat F4)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat F4) A4)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P tptp.bot_bo228742789529271731at_nat)) (=> (forall ((A3 tptp.produc3843707927480180839at_nat) (F3 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat F3)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A3) A4)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A3) F3))) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P F3)) (tptp.pp (tptp.aa_set4148026973699692364t_bool P (tptp.insert9069300056098147895at_nat A3 F3)))))))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P F4))))))))
% 16.06/16.28 (assume a4878 (forall ((F4 tptp.set_real) (A4 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real F4) A4)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((A3 tptp.real) (F3 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real F3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A4)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) F3))) (=> (tptp.pp (tptp.aa_set_real_bool P F3)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real A3 F3)))))))) (tptp.pp (tptp.aa_set_real_bool P F4))))))))
% 16.06/16.28 (assume a4879 (forall ((F4 tptp.set_complex) (A4 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex F4) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((A3 tptp.complex) (F3 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex F3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A4)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) F3))) (=> (tptp.pp (tptp.aa_set_complex_bool P F3)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex A3 F3)))))))) (tptp.pp (tptp.aa_set_complex_bool P F4))))))))
% 16.06/16.28 (assume a4880 (forall ((F4 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_se8074476271188067385t_bool)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat F4) A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((A3 tptp.product_prod_nat_nat) (F3 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat F3)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A3) A4)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A3) F3))) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P F3)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.insert8211810215607154385at_nat A3 F3)))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P F4))))))))
% 16.06/16.28 (assume a4881 (forall ((F4 tptp.set_bool) (A4 tptp.set_bool) (P tptp.fun_set_bool_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool F4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool F4) A4)) (=> (tptp.pp (tptp.aa_set_bool_bool P tptp.bot_bot_set_bool)) (=> (forall ((A3 tptp.bool) (F3 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool F3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) A4)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) F3))) (=> (tptp.pp (tptp.aa_set_bool_bool P F3)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.insert_bool A3 F3)))))))) (tptp.pp (tptp.aa_set_bool_bool P F4))))))))
% 16.06/16.28 (assume a4882 (forall ((F4 tptp.set_int) (A4 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int F4) A4)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((A3 tptp.int) (F3 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int F3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A4)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) F3))) (=> (tptp.pp (tptp.aa_set_int_bool P F3)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int A3 F3)))))))) (tptp.pp (tptp.aa_set_int_bool P F4))))))))
% 16.06/16.28 (assume a4883 (forall ((F4 tptp.set_nat) (A4 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat F4) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((A3 tptp.nat) (F3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A4)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) F3))) (=> (tptp.pp (tptp.aa_set_nat_bool P F3)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat A3 F3)))))))) (tptp.pp (tptp.aa_set_nat_bool P F4))))))))
% 16.06/16.28 (assume a4884 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (P tptp.fun_se8353504738346895699t_bool)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A4)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P A4)) (=> (forall ((A3 tptp.produc3843707927480180839at_nat) (A7 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A7)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A3) A7)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool P A7)) (tptp.pp (tptp.aa_set4148026973699692364t_bool P (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A7) (tptp.insert9069300056098147895at_nat A3 tptp.bot_bo228742789529271731at_nat)))))))) (tptp.pp (tptp.aa_set4148026973699692364t_bool P tptp.bot_bo228742789529271731at_nat)))))))
% 16.06/16.28 (assume a4885 (forall ((A4 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (tptp.pp (tptp.aa_set_real_bool P A4)) (=> (forall ((A3 tptp.real) (A7 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A7)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A7)) (=> (tptp.pp (tptp.aa_set_real_bool P A7)) (tptp.pp (tptp.aa_set_real_bool P (tptp.minus_minus_set_real A7 (tptp.insert_real A3 tptp.bot_bot_set_real)))))))) (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)))))))
% 16.06/16.28 (assume a4886 (forall ((A4 tptp.set_complex) (P tptp.fun_set_complex_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool P A4)) (=> (forall ((A3 tptp.complex) (A7 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A7)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A7)) (=> (tptp.pp (tptp.aa_set_complex_bool P A7)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.minus_811609699411566653omplex A7 (tptp.insert_complex A3 tptp.bot_bot_set_complex)))))))) (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)))))))
% 16.06/16.28 (assume a4887 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (P tptp.fun_se8074476271188067385t_bool)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P A4)) (=> (forall ((A3 tptp.product_prod_nat_nat) (A7 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A7)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A3) A7)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool P A7)) (tptp.pp (tptp.aa_set3135850010578026034t_bool P (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A7) (tptp.insert8211810215607154385at_nat A3 tptp.bot_bo2099793752762293965at_nat)))))))) (tptp.pp (tptp.aa_set3135850010578026034t_bool P tptp.bot_bo2099793752762293965at_nat)))))))
% 16.06/16.28 (assume a4888 (forall ((A4 tptp.set_bool) (P tptp.fun_set_bool_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool P A4)) (=> (forall ((A3 tptp.bool) (A7 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A7)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) A7)) (=> (tptp.pp (tptp.aa_set_bool_bool P A7)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.minus_minus_set_bool A7 (tptp.insert_bool A3 tptp.bot_bot_set_bool)))))))) (tptp.pp (tptp.aa_set_bool_bool P tptp.bot_bot_set_bool)))))))
% 16.06/16.28 (assume a4889 (forall ((A4 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool P A4)) (=> (forall ((A3 tptp.int) (A7 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A7)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A7)) (=> (tptp.pp (tptp.aa_set_int_bool P A7)) (tptp.pp (tptp.aa_set_int_bool P (tptp.minus_minus_set_int A7 (tptp.insert_int A3 tptp.bot_bot_set_int)))))))) (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)))))))
% 16.06/16.28 (assume a4890 (forall ((A4 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool P A4)) (=> (forall ((A3 tptp.nat) (A7 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A7)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A7)) (=> (tptp.pp (tptp.aa_set_nat_bool P A7)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A7) (tptp.insert_nat A3 tptp.bot_bot_set_nat)))))))) (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)))))))
% 16.06/16.28 (assume a4891 (forall ((X6 tptp.fun_se8353504738346895699t_bool) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool X6 A4)) (=> (forall ((A7 tptp.set_Pr4329608150637261639at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool X6 A7)) (exists ((X tptp.produc3843707927480180839at_nat)) (and (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat X) A7)) (or (tptp.pp (tptp.aa_set4148026973699692364t_bool X6 (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A7) (tptp.insert9069300056098147895at_nat X tptp.bot_bo228742789529271731at_nat)))) (not (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A7) (tptp.insert9069300056098147895at_nat X tptp.bot_bo228742789529271731at_nat)))))))))) (not (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A4)))))))
% 16.06/16.28 (assume a4892 (forall ((X6 tptp.fun_set_complex_bool) (A4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool X6 A4)) (=> (forall ((A7 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool X6 A7)) (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A7)) (or (tptp.pp (tptp.aa_set_complex_bool X6 (tptp.minus_811609699411566653omplex A7 (tptp.insert_complex X tptp.bot_bot_set_complex)))) (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.minus_811609699411566653omplex A7 (tptp.insert_complex X tptp.bot_bot_set_complex)))))))))) (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)))))))
% 16.06/16.28 (assume a4893 (forall ((X6 tptp.fun_se8074476271188067385t_bool) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool X6 A4)) (=> (forall ((A7 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool X6 A7)) (exists ((X tptp.product_prod_nat_nat)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) A7)) (or (tptp.pp (tptp.aa_set3135850010578026034t_bool X6 (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A7) (tptp.insert8211810215607154385at_nat X tptp.bot_bo2099793752762293965at_nat)))) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A7) (tptp.insert8211810215607154385at_nat X tptp.bot_bo2099793752762293965at_nat)))))))))) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)))))))
% 16.06/16.28 (assume a4894 (forall ((X6 tptp.fun_set_bool_bool) (A4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool X6 A4)) (=> (forall ((A7 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool X6 A7)) (exists ((X tptp.bool)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X) A7)) (or (tptp.pp (tptp.aa_set_bool_bool X6 (tptp.minus_minus_set_bool A7 (tptp.insert_bool X tptp.bot_bot_set_bool)))) (not (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool (tptp.minus_minus_set_bool A7 (tptp.insert_bool X tptp.bot_bot_set_bool)))))))))) (not (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)))))))
% 16.06/16.28 (assume a4895 (forall ((X6 tptp.fun_set_int_bool) (A4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool X6 A4)) (=> (forall ((A7 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool X6 A7)) (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A7)) (or (tptp.pp (tptp.aa_set_int_bool X6 (tptp.minus_minus_set_int A7 (tptp.insert_int X tptp.bot_bot_set_int)))) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.minus_minus_set_int A7 (tptp.insert_int X tptp.bot_bot_set_int)))))))))) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)))))))
% 16.06/16.28 (assume a4896 (forall ((X6 tptp.fun_set_nat_bool) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool X6 A4)) (=> (forall ((A7 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool X6 A7)) (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A7)) (or (tptp.pp (tptp.aa_set_nat_bool X6 (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A7) (tptp.insert_nat X tptp.bot_bot_set_nat)))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A7) (tptp.insert_nat X tptp.bot_bot_set_nat)))))))))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)))))))
% 16.06/16.28 (assume a4897 (forall ((S3 tptp.set_Pr4329608150637261639at_nat) (A tptp.produc3843707927480180839at_nat)) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat S3))) (not (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat S3) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))))))))
% 16.06/16.28 (assume a4898 (forall ((S3 tptp.set_complex) (A tptp.complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3))) (not (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex))))))))
% 16.06/16.28 (assume a4899 (forall ((S3 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_prod_nat_nat)) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat S3))) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat S3) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))))))))
% 16.06/16.28 (assume a4900 (forall ((S3 tptp.set_bool) (A tptp.bool)) (=> (not (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S3))) (not (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool (tptp.minus_minus_set_bool S3 (tptp.insert_bool A tptp.bot_bot_set_bool))))))))
% 16.06/16.28 (assume a4901 (forall ((S3 tptp.set_int) (A tptp.int)) (=> (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3))) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.minus_minus_set_int S3 (tptp.insert_int A tptp.bot_bot_set_int))))))))
% 16.06/16.28 (assume a4902 (forall ((S3 tptp.set_nat) (A tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat S3) (tptp.insert_nat A tptp.bot_bot_set_nat))))))))
% 16.06/16.28 (assume a4903 (forall ((N tptp.nat) (C tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_ew N) C)))))))
% 16.06/16.28 (assume a4904 (forall ((A4 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N) A4))) (= (tptp.aa_set_nat_nat tptp.nat_set_encode (tptp.insert_nat N A4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_set_nat_nat tptp.nat_set_encode A4)))))))
% 16.06/16.28 (assume a4905 (forall ((A4 tptp.set_bool) (P tptp.fun_set_bool_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool P tptp.bot_bot_set_bool)) (=> (forall ((B3 tptp.bool) (A7 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A7)) (=> (forall ((X tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X) A7)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_bool B3) X)))) (=> (tptp.pp (tptp.aa_set_bool_bool P A7)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.insert_bool B3 A7))))))) (tptp.pp (tptp.aa_set_bool_bool P A4)))))))
% 16.06/16.28 (assume a4906 (forall ((A4 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((B3 tptp.real) (A7 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A7)) (=> (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A7)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B3) X)))) (=> (tptp.pp (tptp.aa_set_real_bool P A7)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real B3 A7))))))) (tptp.pp (tptp.aa_set_real_bool P A4)))))))
% 16.06/16.28 (assume a4907 (forall ((A4 tptp.set_rat) (P tptp.fun_set_rat_bool)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A4)) (=> (tptp.pp (tptp.aa_set_rat_bool P tptp.bot_bot_set_rat)) (=> (forall ((B3 tptp.rat) (A7 tptp.set_rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A7)) (=> (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X) A7)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B3) X)))) (=> (tptp.pp (tptp.aa_set_rat_bool P A7)) (tptp.pp (tptp.aa_set_rat_bool P (tptp.insert_rat B3 A7))))))) (tptp.pp (tptp.aa_set_rat_bool P A4)))))))
% 16.06/16.28 (assume a4908 (forall ((A4 tptp.set_num) (P tptp.fun_set_num_bool)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A4)) (=> (tptp.pp (tptp.aa_set_num_bool P tptp.bot_bot_set_num)) (=> (forall ((B3 tptp.num) (A7 tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A7)) (=> (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X) A7)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B3) X)))) (=> (tptp.pp (tptp.aa_set_num_bool P A7)) (tptp.pp (tptp.aa_set_num_bool P (tptp.insert_num B3 A7))))))) (tptp.pp (tptp.aa_set_num_bool P A4)))))))
% 16.06/16.28 (assume a4909 (forall ((A4 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((B3 tptp.nat) (A7 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A7)) (=> (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A7)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B3) X)))) (=> (tptp.pp (tptp.aa_set_nat_bool P A7)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat B3 A7))))))) (tptp.pp (tptp.aa_set_nat_bool P A4)))))))
% 16.06/16.28 (assume a4910 (forall ((A4 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((B3 tptp.int) (A7 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A7)) (=> (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A7)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B3) X)))) (=> (tptp.pp (tptp.aa_set_int_bool P A7)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int B3 A7))))))) (tptp.pp (tptp.aa_set_int_bool P A4)))))))
% 16.06/16.28 (assume a4911 (forall ((A4 tptp.set_bool) (P tptp.fun_set_bool_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool P tptp.bot_bot_set_bool)) (=> (forall ((B3 tptp.bool) (A7 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A7)) (=> (forall ((X tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X) A7)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_bool X) B3)))) (=> (tptp.pp (tptp.aa_set_bool_bool P A7)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.insert_bool B3 A7))))))) (tptp.pp (tptp.aa_set_bool_bool P A4)))))))
% 16.06/16.28 (assume a4912 (forall ((A4 tptp.set_real) (P tptp.fun_set_real_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((B3 tptp.real) (A7 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A7)) (=> (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X) A7)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) B3)))) (=> (tptp.pp (tptp.aa_set_real_bool P A7)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real B3 A7))))))) (tptp.pp (tptp.aa_set_real_bool P A4)))))))
% 16.06/16.28 (assume a4913 (forall ((A4 tptp.set_rat) (P tptp.fun_set_rat_bool)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A4)) (=> (tptp.pp (tptp.aa_set_rat_bool P tptp.bot_bot_set_rat)) (=> (forall ((B3 tptp.rat) (A7 tptp.set_rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat A7)) (=> (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X) A7)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) B3)))) (=> (tptp.pp (tptp.aa_set_rat_bool P A7)) (tptp.pp (tptp.aa_set_rat_bool P (tptp.insert_rat B3 A7))))))) (tptp.pp (tptp.aa_set_rat_bool P A4)))))))
% 16.06/16.28 (assume a4914 (forall ((A4 tptp.set_num) (P tptp.fun_set_num_bool)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A4)) (=> (tptp.pp (tptp.aa_set_num_bool P tptp.bot_bot_set_num)) (=> (forall ((B3 tptp.num) (A7 tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num A7)) (=> (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X) A7)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) B3)))) (=> (tptp.pp (tptp.aa_set_num_bool P A7)) (tptp.pp (tptp.aa_set_num_bool P (tptp.insert_num B3 A7))))))) (tptp.pp (tptp.aa_set_num_bool P A4)))))))
% 16.06/16.28 (assume a4915 (forall ((A4 tptp.set_nat) (P tptp.fun_set_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((B3 tptp.nat) (A7 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A7)) (=> (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A7)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) B3)))) (=> (tptp.pp (tptp.aa_set_nat_bool P A7)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat B3 A7))))))) (tptp.pp (tptp.aa_set_nat_bool P A4)))))))
% 16.06/16.28 (assume a4916 (forall ((A4 tptp.set_int) (P tptp.fun_set_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((B3 tptp.int) (A7 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A7)) (=> (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A7)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) B3)))) (=> (tptp.pp (tptp.aa_set_int_bool P A7)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int B3 A7))))))) (tptp.pp (tptp.aa_set_int_bool P A4)))))))
% 16.06/16.28 (assume a4917 (forall ((S3 tptp.set_real) (P tptp.fun_set_real_bool) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real) (S4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S4)) (=> (forall ((Y5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y5) S4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F Y5)) (tptp.aa_real_rat F X5))))) (=> (tptp.pp (tptp.aa_set_real_bool P S4)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X5 S4))))))) (tptp.pp (tptp.aa_set_real_bool P S3)))))))
% 16.06/16.28 (assume a4918 (forall ((S3 tptp.set_complex) (P tptp.fun_set_complex_bool) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((X5 tptp.complex) (S4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S4)) (=> (forall ((Y5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y5) S4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F Y5)) (tptp.aa_complex_rat F X5))))) (=> (tptp.pp (tptp.aa_set_complex_bool P S4)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X5 S4))))))) (tptp.pp (tptp.aa_set_complex_bool P S3)))))))
% 16.06/16.28 (assume a4919 (forall ((S3 tptp.set_bool) (P tptp.fun_set_bool_bool) (F tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S3)) (=> (tptp.pp (tptp.aa_set_bool_bool P tptp.bot_bot_set_bool)) (=> (forall ((X5 tptp.bool) (S4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S4)) (=> (forall ((Y5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Y5) S4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_bool_rat F Y5)) (tptp.aa_bool_rat F X5))))) (=> (tptp.pp (tptp.aa_set_bool_bool P S4)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.insert_bool X5 S4))))))) (tptp.pp (tptp.aa_set_bool_bool P S3)))))))
% 16.06/16.28 (assume a4920 (forall ((S3 tptp.set_nat) (P tptp.fun_set_nat_bool) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((X5 tptp.nat) (S4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S4)) (=> (forall ((Y5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y5) S4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F Y5)) (tptp.aa_nat_rat F X5))))) (=> (tptp.pp (tptp.aa_set_nat_bool P S4)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X5 S4))))))) (tptp.pp (tptp.aa_set_nat_bool P S3)))))))
% 16.06/16.28 (assume a4921 (forall ((S3 tptp.set_int) (P tptp.fun_set_int_bool) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int) (S4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S4)) (=> (forall ((Y5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y5) S4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F Y5)) (tptp.aa_int_rat F X5))))) (=> (tptp.pp (tptp.aa_set_int_bool P S4)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X5 S4))))))) (tptp.pp (tptp.aa_set_int_bool P S3)))))))
% 16.06/16.28 (assume a4922 (forall ((S3 tptp.set_real) (P tptp.fun_set_real_bool) (F tptp.fun_real_num)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (=> (tptp.pp (tptp.aa_set_real_bool P tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real) (S4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S4)) (=> (forall ((Y5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y5) S4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_real_num F Y5)) (tptp.aa_real_num F X5))))) (=> (tptp.pp (tptp.aa_set_real_bool P S4)) (tptp.pp (tptp.aa_set_real_bool P (tptp.insert_real X5 S4))))))) (tptp.pp (tptp.aa_set_real_bool P S3)))))))
% 16.06/16.28 (assume a4923 (forall ((S3 tptp.set_complex) (P tptp.fun_set_complex_bool) (F tptp.fun_complex_num)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (tptp.pp (tptp.aa_set_complex_bool P tptp.bot_bot_set_complex)) (=> (forall ((X5 tptp.complex) (S4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S4)) (=> (forall ((Y5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y5) S4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_complex_num F Y5)) (tptp.aa_complex_num F X5))))) (=> (tptp.pp (tptp.aa_set_complex_bool P S4)) (tptp.pp (tptp.aa_set_complex_bool P (tptp.insert_complex X5 S4))))))) (tptp.pp (tptp.aa_set_complex_bool P S3)))))))
% 16.06/16.28 (assume a4924 (forall ((S3 tptp.set_bool) (P tptp.fun_set_bool_bool) (F tptp.fun_bool_num)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S3)) (=> (tptp.pp (tptp.aa_set_bool_bool P tptp.bot_bot_set_bool)) (=> (forall ((X5 tptp.bool) (S4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S4)) (=> (forall ((Y5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Y5) S4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_bool_num F Y5)) (tptp.aa_bool_num F X5))))) (=> (tptp.pp (tptp.aa_set_bool_bool P S4)) (tptp.pp (tptp.aa_set_bool_bool P (tptp.insert_bool X5 S4))))))) (tptp.pp (tptp.aa_set_bool_bool P S3)))))))
% 16.06/16.28 (assume a4925 (forall ((S3 tptp.set_nat) (P tptp.fun_set_nat_bool) (F tptp.fun_nat_num)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (tptp.pp (tptp.aa_set_nat_bool P tptp.bot_bot_set_nat)) (=> (forall ((X5 tptp.nat) (S4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S4)) (=> (forall ((Y5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y5) S4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F Y5)) (tptp.aa_nat_num F X5))))) (=> (tptp.pp (tptp.aa_set_nat_bool P S4)) (tptp.pp (tptp.aa_set_nat_bool P (tptp.insert_nat X5 S4))))))) (tptp.pp (tptp.aa_set_nat_bool P S3)))))))
% 16.06/16.28 (assume a4926 (forall ((S3 tptp.set_int) (P tptp.fun_set_int_bool) (F tptp.fun_int_num)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (=> (tptp.pp (tptp.aa_set_int_bool P tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int) (S4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S4)) (=> (forall ((Y5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y5) S4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_int_num F Y5)) (tptp.aa_int_num F X5))))) (=> (tptp.pp (tptp.aa_set_int_bool P S4)) (tptp.pp (tptp.aa_set_int_bool P (tptp.insert_int X5 S4))))))) (tptp.pp (tptp.aa_set_int_bool P S3)))))))
% 16.06/16.28 (assume a4927 (forall ((I5 tptp.set_real) (X3 tptp.fun_real_real) (Y tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_ex I5) X3)))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_ex I5) Y)))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun9137271176455094897l_bool (tptp.aa_fun334843040499603765l_bool (tptp.aTP_Lamm_ey I5) X3) Y))))))))
% 16.06/16.28 (assume a4928 (forall ((I5 tptp.set_bool) (X3 tptp.fun_bool_real) (Y tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool (tptp.collect_bool (tptp.aa_fun2512541629346179229l_bool (tptp.aTP_Lamm_ez I5) X3)))) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool (tptp.collect_bool (tptp.aa_fun2512541629346179229l_bool (tptp.aTP_Lamm_ez I5) Y)))) (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool (tptp.collect_bool (tptp.aa_fun2512541629346179229l_bool (tptp.aa_fun8125513006060278610l_bool (tptp.aTP_Lamm_fa I5) X3) Y))))))))
% 16.06/16.28 (assume a4929 (forall ((I5 tptp.set_int) (X3 tptp.fun_int_real) (Y tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun1262781554902806129t_bool (tptp.aTP_Lamm_fb I5) X3)))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun1262781554902806129t_bool (tptp.aTP_Lamm_fb I5) Y)))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun1262781554902806129t_bool (tptp.aa_fun6205147705862377397t_bool (tptp.aTP_Lamm_fc I5) X3) Y))))))))
% 16.06/16.28 (assume a4930 (forall ((I5 tptp.set_nat) (X3 tptp.fun_nat_real) (Y tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun1349230436907296553t_bool (tptp.aTP_Lamm_fd I5) X3)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun1349230436907296553t_bool (tptp.aTP_Lamm_fd I5) Y)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun1349230436907296553t_bool (tptp.aa_fun849216055071118793t_bool (tptp.aTP_Lamm_fe I5) X3) Y))))))))
% 16.06/16.28 (assume a4931 (forall ((I5 tptp.set_complex) (X3 tptp.fun_complex_real) (Y tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun2898354424061222765x_bool (tptp.aTP_Lamm_ff I5) X3)))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun2898354424061222765x_bool (tptp.aTP_Lamm_ff I5) Y)))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun2898354424061222765x_bool (tptp.aa_fun2094807616088678831x_bool (tptp.aTP_Lamm_fg I5) X3) Y))))))))
% 16.06/16.28 (assume a4932 (forall ((I5 tptp.set_real) (X3 tptp.fun_real_rat) (Y tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun8987621170725249221l_bool (tptp.aTP_Lamm_fh I5) X3)))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun8987621170725249221l_bool (tptp.aTP_Lamm_fh I5) Y)))) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_fun8987621170725249221l_bool (tptp.aa_fun8530242357055030877l_bool (tptp.aTP_Lamm_fi I5) X3) Y))))))))
% 16.06/16.28 (assume a4933 (forall ((I5 tptp.set_bool) (X3 tptp.fun_bool_rat) (Y tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool (tptp.collect_bool (tptp.aa_fun4510340986217973961l_bool (tptp.aTP_Lamm_fj I5) X3)))) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool (tptp.collect_bool (tptp.aa_fun4510340986217973961l_bool (tptp.aTP_Lamm_fj I5) Y)))) (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool (tptp.collect_bool (tptp.aa_fun4510340986217973961l_bool (tptp.aa_fun5608642267463484754l_bool (tptp.aTP_Lamm_fk I5) X3) Y))))))))
% 16.06/16.28 (assume a4934 (forall ((I5 tptp.set_int) (X3 tptp.fun_int_rat) (Y tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun258058769140594373t_bool (tptp.aTP_Lamm_fl I5) X3)))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun258058769140594373t_bool (tptp.aTP_Lamm_fl I5) Y)))) (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.collect_int (tptp.aa_fun258058769140594373t_bool (tptp.aa_fun465274253410646749t_bool (tptp.aTP_Lamm_fm I5) X3) Y))))))))
% 16.06/16.28 (assume a4935 (forall ((I5 tptp.set_nat) (X3 tptp.fun_nat_rat) (Y tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun5637262893798792573t_bool (tptp.aTP_Lamm_fn I5) X3)))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun5637262893798792573t_bool (tptp.aTP_Lamm_fn I5) Y)))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_fun5637262893798792573t_bool (tptp.aa_fun2107527232086395633t_bool (tptp.aTP_Lamm_fo I5) X3) Y))))))))
% 16.06/16.28 (assume a4936 (forall ((I5 tptp.set_complex) (X3 tptp.fun_complex_rat) (Y tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun2759627087638585025x_bool (tptp.aTP_Lamm_fp I5) X3)))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun2759627087638585025x_bool (tptp.aTP_Lamm_fp I5) Y)))) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_fun2759627087638585025x_bool (tptp.aa_fun1496239077807485399x_bool (tptp.aTP_Lamm_fq I5) X3) Y))))))))
% 16.06/16.28 (assume a4937 (forall ((N tptp.nat) (K2 tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.bit_concat_bit (tptp.aa_nat_nat tptp.suc N)) K2) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.bit_concat_bit N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) L))))))
% 16.06/16.28 (assume a4938 (= (tptp.aa_set_nat_nat tptp.nat_set_encode tptp.bot_bot_set_nat) tptp.zero_zero_nat))
% 16.06/16.28 (assume a4939 (forall ((N tptp.nat) (K2 tptp.int) (M2 tptp.nat) (L tptp.int) (R2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.bit_concat_bit N) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.bit_concat_bit M2) L) R2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.bit_concat_bit (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.bit_concat_bit N) K2) L)) R2))))
% 16.06/16.28 (assume a4940 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (= (tptp.aa_set_nat_nat tptp.nat_set_encode A4) (tptp.aa_set_nat_nat tptp.nat_set_encode B4)) (= A4 B4))))))
% 16.06/16.28 (assume a4941 (forall ((A4 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4))) (= (tptp.aa_set_nat_nat tptp.nat_set_encode A4) tptp.zero_zero_nat))))
% 16.06/16.28 (assume a4942 (forall ((X6 tptp.set_bool)) (=> (not (= X6 tptp.bot_bot_set_bool)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) X6)) (exists ((Xa tptp.bool)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Xa) X6)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_bool X5) Xa)))))) (not (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool X6)))))))
% 16.06/16.28 (assume a4943 (forall ((X6 tptp.set_real)) (=> (not (= X6 tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) X6)) (exists ((Xa tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Xa) X6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) Xa)))))) (not (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real X6)))))))
% 16.06/16.28 (assume a4944 (forall ((X6 tptp.set_rat)) (=> (not (= X6 tptp.bot_bot_set_rat)) (=> (forall ((X5 tptp.rat)) (=> (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X5) X6)) (exists ((Xa tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat Xa) X6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X5) Xa)))))) (not (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat X6)))))))
% 16.06/16.28 (assume a4945 (forall ((X6 tptp.set_num)) (=> (not (= X6 tptp.bot_bot_set_num)) (=> (forall ((X5 tptp.num)) (=> (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X5) X6)) (exists ((Xa tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) X6)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X5) Xa)))))) (not (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num X6)))))))
% 16.06/16.28 (assume a4946 (forall ((X6 tptp.set_nat)) (=> (not (= X6 tptp.bot_bot_set_nat)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) X6)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) X6)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X5) Xa)))))) (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat X6)))))))
% 16.06/16.28 (assume a4947 (forall ((X6 tptp.set_int)) (=> (not (= X6 tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) X6)) (exists ((Xa tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) X6)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X5) Xa)))))) (not (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int X6)))))))
% 16.06/16.28 (assume a4948 (forall ((S3 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S3)) (=> (not (= S3 tptp.bot_bot_set_bool)) (exists ((X5 tptp.bool)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (not (exists ((Xa tptp.bool)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Xa) S3)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_bool Xa) X5)))))))))))
% 16.06/16.28 (assume a4949 (forall ((S3 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (=> (not (= S3 tptp.bot_bot_set_real)) (exists ((X5 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (not (exists ((Xa tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Xa) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Xa) X5)))))))))))
% 16.06/16.28 (assume a4950 (forall ((S3 tptp.set_rat)) (=> (tptp.pp (tptp.aa_set_rat_bool tptp.finite_finite_rat S3)) (=> (not (= S3 tptp.bot_bot_set_rat)) (exists ((X5 tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat X5) S3)) (not (exists ((Xa tptp.rat)) (and (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat Xa) S3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Xa) X5)))))))))))
% 16.06/16.28 (assume a4951 (forall ((S3 tptp.set_num)) (=> (tptp.pp (tptp.aa_set_num_bool tptp.finite_finite_num S3)) (=> (not (= S3 tptp.bot_bot_set_num)) (exists ((X5 tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num X5) S3)) (not (exists ((Xa tptp.num)) (and (tptp.pp (tptp.aa_set_num_bool (tptp.member_num Xa) S3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Xa) X5)))))))))))
% 16.06/16.28 (assume a4952 (forall ((S3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (not (= S3 tptp.bot_bot_set_nat)) (exists ((X5 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) S3)) (not (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) S3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) X5)))))))))))
% 16.06/16.28 (assume a4953 (forall ((S3 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (=> (not (= S3 tptp.bot_bot_set_int)) (exists ((X5 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) S3)) (not (exists ((Xa tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa) S3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Xa) X5)))))))))))
% 16.06/16.28 (assume a4954 (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.28 (assume a4955 (= (tptp.aa_real_real tptp.neg_numeral_dbl_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.28 (assume a4956 (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.28 (assume a4957 (= (tptp.aa_int_int tptp.neg_numeral_dbl_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.28 (assume a4958 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.06/16.28 (assume a4959 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.06/16.28 (assume a4960 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer A) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.modulo364778990260209775nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.06/16.28 (assume a4961 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer A) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.divide6298287555418463151nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.06/16.28 (assume a4962 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.06/16.28 (assume a4963 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.06/16.28 (assume a4964 (forall ((X3 tptp.fun_Pr2602117396471556196at_nat) (X2 tptp.product_prod_nat_nat)) (= (tptp.size_o8335143837870341156at_nat X3 (tptp.some_P7363390416028606310at_nat X2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_Pro4243173770044397973at_nat X3 X2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a4965 (forall ((X3 tptp.fun_nat_nat) (X2 tptp.nat)) (= (tptp.size_option_nat X3 (tptp.some_nat X2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat X3 X2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a4966 (forall ((X3 tptp.fun_num_nat) (X2 tptp.num)) (= (tptp.size_option_num X3 (tptp.some_num X2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat X3 X2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a4967 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_ri6519982836138164636nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_ri6519982836138164636nteger N (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.28 (assume a4968 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.28 (assume a4969 (forall ((N tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_set_nat tptp.nat_set_decode X3))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N) (tptp.aa_nat_set_nat tptp.nat_set_decode (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.28 (assume a4970 (forall ((R2 tptp.real) (A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (=> (not (= R2 tptp.zero_zero_real)) (=> (and (= A B) (not (= C D))) (not (= (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real (tptp.times_times_real R2) C)) (tptp.aa_real_real (tptp.plus_plus_real B) (tptp.aa_real_real (tptp.times_times_real R2) D))))))))
% 16.06/16.28 (assume a4971 (forall ((R2 tptp.rat) (A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (not (= R2 tptp.zero_zero_rat)) (=> (and (= A B) (not (= C D))) (not (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat R2) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat R2) D))))))))
% 16.06/16.28 (assume a4972 (forall ((R2 tptp.nat) (A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (not (= R2 tptp.zero_zero_nat)) (=> (and (= A B) (not (= C D))) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat R2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat R2) D))))))))
% 16.06/16.28 (assume a4973 (forall ((R2 tptp.int) (A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (=> (not (= R2 tptp.zero_zero_int)) (=> (and (= A B) (not (= C D))) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int R2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int R2) D))))))))
% 16.06/16.28 (assume a4974 (forall ((M2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M2) tptp.one_one_nat)) (= M2 tptp.one_one_nat))))
% 16.06/16.28 (assume a4975 (forall ((K2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) K2))))
% 16.06/16.28 (assume a4976 (forall ((M2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (= M2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a4977 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B)))))
% 16.06/16.28 (assume a4978 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.plus_plus_real B) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)))))
% 16.06/16.28 (assume a4979 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)))))
% 16.06/16.28 (assume a4980 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)))))
% 16.06/16.28 (assume a4981 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)))))
% 16.06/16.28 (assume a4982 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger A B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B)))))
% 16.06/16.28 (assume a4983 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.plus_plus_real A) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)))))
% 16.06/16.28 (assume a4984 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)))))
% 16.06/16.28 (assume a4985 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)))))
% 16.06/16.28 (assume a4986 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)))))
% 16.06/16.28 (assume a4987 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat tptp.nat_set_encode (tptp.aa_nat_set_nat tptp.nat_set_decode N)) N)))
% 16.06/16.28 (assume a4988 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) A) B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B)))))
% 16.06/16.28 (assume a4989 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real C) A)) B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)))))
% 16.06/16.28 (assume a4990 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)))))
% 16.06/16.28 (assume a4991 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)))))
% 16.06/16.28 (assume a4992 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)))))
% 16.06/16.28 (assume a4993 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) A)))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B)))))
% 16.06/16.28 (assume a4994 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.plus_plus_real B) (tptp.aa_real_real (tptp.times_times_real C) A)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)))))
% 16.06/16.28 (assume a4995 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)))))
% 16.06/16.28 (assume a4996 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)))))
% 16.06/16.28 (assume a4997 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)))))
% 16.06/16.28 (assume a4998 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B) C) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B C)))))))
% 16.06/16.28 (assume a4999 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B) C)))))))
% 16.06/16.28 (assume a5000 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B) C)))))))
% 16.06/16.28 (assume a5001 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_int) tptp.one_one_int)))
% 16.06/16.28 (assume a5002 (forall ((K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) tptp.one_one_int) tptp.one_one_int)))
% 16.06/16.28 (assume a5003 (forall ((K2 tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex (tptp.numera6690914467698888265omplex K2)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 K2)))))
% 16.06/16.28 (assume a5004 (forall ((K2 tptp.num)) (= (tptp.aa_real_real tptp.neg_numeral_dbl_real (tptp.aa_num_real tptp.numeral_numeral_real K2)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 K2)))))
% 16.06/16.28 (assume a5005 (forall ((K2 tptp.num)) (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 K2)))))
% 16.06/16.28 (assume a5006 (forall ((K2 tptp.num)) (= (tptp.aa_int_int tptp.neg_numeral_dbl_int (tptp.aa_num_int tptp.numeral_numeral_int K2)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K2)))))
% 16.06/16.28 (assume a5007 (= (tptp.aa_nat_set_nat tptp.nat_set_decode tptp.zero_zero_nat) tptp.bot_bot_set_nat))
% 16.06/16.28 (assume a5008 (forall ((A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.aa_nat_set_nat tptp.nat_set_decode (tptp.aa_set_nat_nat tptp.nat_set_encode A4)) A4))))
% 16.06/16.28 (assume a5009 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.28 (assume a5010 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a5011 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.28 (assume a5012 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.28 (assume a5013 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.28 (assume a5014 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger A B))) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.28 (assume a5015 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.28 (assume a5016 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.28 (assume a5017 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger A B)))) (not (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))))
% 16.06/16.28 (assume a5018 (forall ((A tptp.nat) (B tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)))) (not (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))))
% 16.06/16.28 (assume a5019 (forall ((A tptp.int) (B tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))) (not (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))))
% 16.06/16.28 (assume a5020 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.06/16.28 (assume a5021 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.06/16.28 (assume a5022 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.06/16.28 (assume a5023 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.28 (assume a5024 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a5025 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5026 (forall ((X3 tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) (tptp.aa_nat_set_nat tptp.nat_set_decode X3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X3))))))
% 16.06/16.28 (assume a5027 (forall ((A tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))))
% 16.06/16.28 (assume a5028 (forall ((A tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))))
% 16.06/16.28 (assume a5029 (forall ((A tptp.int) (W tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))))
% 16.06/16.28 (assume a5030 (forall ((A tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_real)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real))))))
% 16.06/16.28 (assume a5031 (forall ((A tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_rat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat))))))
% 16.06/16.28 (assume a5032 (forall ((A tptp.int) (W tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_int)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int))))))
% 16.06/16.28 (assume a5033 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real A) N)) tptp.zero_zero_real)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real))))))
% 16.06/16.28 (assume a5034 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) tptp.zero_zero_rat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat))))))
% 16.06/16.28 (assume a5035 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N)) tptp.zero_zero_int)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int))))))
% 16.06/16.28 (assume a5036 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger A tptp.one_one_Code_integer))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.28 (assume a5037 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.28 (assume a5038 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.28 (assume a5039 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.minus_8373710615458151222nteger A B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger A B))))))
% 16.06/16.28 (assume a5040 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B))))))
% 16.06/16.28 (assume a5041 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) N))))
% 16.06/16.28 (assume a5042 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)))))))
% 16.06/16.28 (assume a5043 (forall ((A tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (= (tptp.aa_num_nat tptp.numeral_numeral_nat W) tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (not (= A tptp.zero_zero_real))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))))
% 16.06/16.28 (assume a5044 (forall ((A tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (= (tptp.aa_num_nat tptp.numeral_numeral_nat W) tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (not (= A tptp.zero_zero_rat))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))))
% 16.06/16.28 (assume a5045 (forall ((A tptp.int) (W tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (= (tptp.aa_num_nat tptp.numeral_numeral_nat W) tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (not (= A tptp.zero_zero_int))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))))
% 16.06/16.28 (assume a5046 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A tptp.one_one_Code_integer) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a5047 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a5048 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a5049 (forall ((A tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A tptp.one_one_Code_integer) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer)))))
% 16.06/16.28 (assume a5050 (forall ((A tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat)))))
% 16.06/16.28 (assume a5051 (forall ((A tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int)))))
% 16.06/16.28 (assume a5052 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer A) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a5053 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a5054 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) A)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a5055 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N))) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 16.06/16.28 (assume a5056 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 16.06/16.28 (assume a5057 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int A) N))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 16.06/16.28 (assume a5058 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))
% 16.06/16.28 (assume a5059 (forall ((A tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_Code_integer) A))))
% 16.06/16.28 (assume a5060 (forall ((A tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_nat) A))))
% 16.06/16.28 (assume a5061 (forall ((A tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_int) A))))
% 16.06/16.28 (assume a5062 (forall ((A tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_real)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= A tptp.zero_zero_real)))))))
% 16.06/16.28 (assume a5063 (forall ((A tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_rat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= A tptp.zero_zero_rat)))))))
% 16.06/16.28 (assume a5064 (forall ((A tptp.int) (W tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_int)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= A tptp.zero_zero_int)))))))
% 16.06/16.28 (assume a5065 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_Code_integer))) (= N tptp.zero_zero_nat))))
% 16.06/16.28 (assume a5066 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))) (= N tptp.zero_zero_nat))))
% 16.06/16.28 (assume a5067 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int))) (= N tptp.zero_zero_nat))))
% 16.06/16.28 (assume a5068 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B C))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C))))))
% 16.06/16.28 (assume a5069 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.plus_plus_real B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) C))))))
% 16.06/16.28 (assume a5070 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) C))))))
% 16.06/16.28 (assume a5071 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 16.06/16.28 (assume a5072 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 16.06/16.28 (assume a5073 (forall ((A tptp.code_integer) (C tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B C))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B))))))
% 16.06/16.28 (assume a5074 (forall ((A tptp.real) (C tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.plus_plus_real B) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B))))))
% 16.06/16.28 (assume a5075 (forall ((A tptp.rat) (C tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B))))))
% 16.06/16.28 (assume a5076 (forall ((A tptp.nat) (C tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B))))))
% 16.06/16.28 (assume a5077 (forall ((A tptp.int) (C tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B))))))
% 16.06/16.28 (assume a5078 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B C)))))))
% 16.06/16.28 (assume a5079 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.plus_plus_real B) C)))))))
% 16.06/16.28 (assume a5080 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) C)))))))
% 16.06/16.28 (assume a5081 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) C)))))))
% 16.06/16.28 (assume a5082 (forall ((A tptp.int) (B tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) C)))))))
% 16.06/16.28 (assume a5083 (forall ((X3 tptp.code_integer) (Y tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X3) Y)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Y) N))))))
% 16.06/16.28 (assume a5084 (forall ((X3 tptp.nat) (Y tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X3) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) N))))))
% 16.06/16.28 (assume a5085 (forall ((X3 tptp.real) (Y tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X3) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.power_power_real X3) N)) (tptp.aa_nat_real (tptp.power_power_real Y) N))))))
% 16.06/16.28 (assume a5086 (forall ((X3 tptp.int) (Y tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X3) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int X3) N)) (tptp.aa_nat_int (tptp.power_power_int Y) N))))))
% 16.06/16.28 (assume a5087 (forall ((X3 tptp.complex) (Y tptp.complex) (N tptp.nat)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex X3) Y)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) N))))))
% 16.06/16.28 (assume a5088 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K2) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)))))))
% 16.06/16.28 (assume a5089 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool tptp.aTP_Lamm_fr A))) (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool tptp.aTP_Lamm_fr B)))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex A) B)))))
% 16.06/16.28 (assume a5090 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_fs A))) (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_fs B)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B)))))
% 16.06/16.28 (assume a5091 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.ord_le7084787975880047091nteger (tptp.collect_Code_integer (tptp.aa_Cod7250484176784686200r_bool tptp.aTP_Lamm_ft A)) (tptp.collect_Code_integer (tptp.aa_Cod7250484176784686200r_bool tptp.aTP_Lamm_ft B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B)))))
% 16.06/16.28 (assume a5092 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_fu A))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_fu B)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B)))))
% 16.06/16.28 (assume a5093 (forall ((M2 tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_ri6519982836138164636nteger M2 A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.06/16.28 (assume a5094 (forall ((M2 tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int M2) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.06/16.28 (assume a5095 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.aa_nat_set_nat tptp.nat_set_decode N)))))
% 16.06/16.28 (assume a5096 (forall ((C tptp.code_integer) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) A)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B) C) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B C))))))
% 16.06/16.28 (assume a5097 (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B) C))))))
% 16.06/16.28 (assume a5098 (forall ((C tptp.int) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B) C))))))
% 16.06/16.28 (assume a5099 (forall ((C tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B) C) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B C))))))
% 16.06/16.28 (assume a5100 (forall ((C tptp.nat) (B tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B) C))))))
% 16.06/16.28 (assume a5101 (forall ((C tptp.int) (B tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B) C))))))
% 16.06/16.28 (assume a5102 (forall ((B tptp.code_integer) (A tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B) A)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.divide6298287555418463151nteger A B)) N) (tptp.divide6298287555418463151nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger B) N))))))
% 16.06/16.28 (assume a5103 (forall ((B tptp.nat) (A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N))))))
% 16.06/16.28 (assume a5104 (forall ((B tptp.int) (A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B) A)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B)) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B) N))))))
% 16.06/16.28 (assume a5105 (forall ((M2 tptp.nat) (N tptp.nat) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) M2)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N))))))
% 16.06/16.28 (assume a5106 (forall ((M2 tptp.nat) (N tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))
% 16.06/16.28 (assume a5107 (forall ((M2 tptp.nat) (N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.power_power_real A) M2)) (tptp.aa_nat_real (tptp.power_power_real A) N))))))
% 16.06/16.28 (assume a5108 (forall ((M2 tptp.nat) (N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int A) M2)) (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 16.06/16.28 (assume a5109 (forall ((M2 tptp.nat) (N tptp.nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex A) M2)) (tptp.aa_nat_complex (tptp.power_power_complex A) N))))))
% 16.06/16.28 (assume a5110 (forall ((A tptp.code_integer) (N tptp.nat) (B tptp.code_integer) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) M2)) B))))))
% 16.06/16.28 (assume a5111 (forall ((A tptp.nat) (N tptp.nat) (B tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M2)) B))))))
% 16.06/16.28 (assume a5112 (forall ((A tptp.real) (N tptp.nat) (B tptp.real) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.power_power_real A) N)) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.power_power_real A) M2)) B))))))
% 16.06/16.28 (assume a5113 (forall ((A tptp.int) (N tptp.nat) (B tptp.int) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int A) N)) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int A) M2)) B))))))
% 16.06/16.28 (assume a5114 (forall ((A tptp.complex) (N tptp.nat) (B tptp.complex) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex A) M2)) B))))))
% 16.06/16.28 (assume a5115 (forall ((X3 tptp.code_integer) (Y tptp.code_integer) (N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X3) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Y) M2)))))))
% 16.06/16.28 (assume a5116 (forall ((X3 tptp.nat) (Y tptp.nat) (N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X3) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) M2)))))))
% 16.06/16.28 (assume a5117 (forall ((X3 tptp.real) (Y tptp.real) (N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X3) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.power_power_real X3) N)) (tptp.aa_nat_real (tptp.power_power_real Y) M2)))))))
% 16.06/16.28 (assume a5118 (forall ((X3 tptp.int) (Y tptp.int) (N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X3) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int X3) N)) (tptp.aa_nat_int (tptp.power_power_int Y) M2)))))))
% 16.06/16.28 (assume a5119 (forall ((X3 tptp.complex) (Y tptp.complex) (N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex X3) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) M2)))))))
% 16.06/16.28 (assume a5120 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat N) M2)))))))
% 16.06/16.28 (assume a5121 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M2) N))))))
% 16.06/16.28 (assume a5122 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K2) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K2) M2)))))))
% 16.06/16.28 (assume a5123 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K2) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K2) N)))))))
% 16.06/16.28 (assume a5124 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)))))))
% 16.06/16.28 (assume a5125 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.neg_numeral_dbl_real X3) (tptp.aa_real_real (tptp.plus_plus_real X3) X3))))
% 16.06/16.28 (assume a5126 (forall ((X3 tptp.rat)) (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) X3))))
% 16.06/16.28 (assume a5127 (forall ((X3 tptp.int)) (= (tptp.aa_int_int tptp.neg_numeral_dbl_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) X3))))
% 16.06/16.28 (assume a5128 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N))))))
% 16.06/16.28 (assume a5129 (forall ((N tptp.num)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))))))
% 16.06/16.28 (assume a5130 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))))))
% 16.06/16.28 (assume a5131 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)) tptp.one_one_Code_integer)) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= N tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5132 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) tptp.one_one_nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (= N tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5133 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int A) N)) tptp.one_one_int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (= N tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5134 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K2) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N))))))
% 16.06/16.28 (assume a5135 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K2) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M2) N))))))
% 16.06/16.28 (assume a5136 (forall ((X3 tptp.nat)) (= (tptp.aa_nat_set_nat tptp.nat_set_decode X3) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_fv X3)))))
% 16.06/16.28 (assume a5137 (forall ((N tptp.nat) (M2 tptp.nat) (Q3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) Q3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) Q3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Q3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)))))))
% 16.06/16.28 (assume a5138 (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)))
% 16.06/16.28 (assume a5139 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat)))
% 16.06/16.28 (assume a5140 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int)))
% 16.06/16.28 (assume a5141 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (forall ((B3 tptp.code_integer)) (not (= A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B3))))))))
% 16.06/16.28 (assume a5142 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (forall ((B3 tptp.nat)) (not (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B3))))))))
% 16.06/16.28 (assume a5143 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (forall ((B3 tptp.int)) (not (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B3))))))))
% 16.06/16.28 (assume a5144 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger A B)))))))
% 16.06/16.28 (assume a5145 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)))))))
% 16.06/16.28 (assume a5146 (forall ((A tptp.int) (B tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))))))
% 16.06/16.28 (assume a5147 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))))
% 16.06/16.28 (assume a5148 (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 16.06/16.28 (assume a5149 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))))
% 16.06/16.28 (assume a5150 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= A B) (and (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (= (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger B (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.28 (assume a5151 (forall ((A tptp.nat) (B tptp.nat)) (= (= A B) (and (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.28 (assume a5152 (forall ((A tptp.int) (B tptp.int)) (= (= A B) (and (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.28 (assume a5153 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat tptp.nat_set_decode M2)) (tptp.aa_nat_set_nat tptp.nat_set_decode N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.28 (assume a5154 (forall ((X3 tptp.code_integer) (M2 tptp.nat) (N tptp.nat)) (=> (not (= X3 tptp.zero_z3403309356797280102nteger)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) M2)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) N))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X3) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))))
% 16.06/16.28 (assume a5155 (forall ((X3 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (not (= X3 tptp.zero_zero_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X3) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))))
% 16.06/16.28 (assume a5156 (forall ((X3 tptp.int) (M2 tptp.nat) (N tptp.nat)) (=> (not (= X3 tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int X3) M2)) (tptp.aa_nat_int (tptp.power_power_int X3) N))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X3) tptp.one_one_int)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))))
% 16.06/16.28 (assume a5157 (forall ((N tptp.nat) (X3 tptp.code_integer)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X3 tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X3) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) N))))))
% 16.06/16.28 (assume a5158 (forall ((N tptp.nat) (X3 tptp.rat)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X3 tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X3) (tptp.aa_nat_rat (tptp.power_power_rat X3) N))))))
% 16.06/16.28 (assume a5159 (forall ((N tptp.nat) (X3 tptp.nat)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X3 tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X3) N))))))
% 16.06/16.28 (assume a5160 (forall ((N tptp.nat) (X3 tptp.real)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X3 tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X3) (tptp.aa_nat_real (tptp.power_power_real X3) N))))))
% 16.06/16.28 (assume a5161 (forall ((N tptp.nat) (X3 tptp.int)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X3 tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X3) (tptp.aa_nat_int (tptp.power_power_int X3) N))))))
% 16.06/16.28 (assume a5162 (forall ((N tptp.nat) (X3 tptp.complex)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X3 tptp.one_one_complex)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex X3) (tptp.aa_nat_complex (tptp.power_power_complex X3) N))))))
% 16.06/16.28 (assume a5163 (forall ((X3 tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Y))) (= X3 Y)))))
% 16.06/16.28 (assume a5164 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) M2)) (= N tptp.one_one_nat)))))
% 16.06/16.28 (assume a5165 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) M2)) M2)) (= N tptp.one_one_nat)))))
% 16.06/16.28 (assume a5166 (forall ((Q3 tptp.nat) (N tptp.nat) (R2 tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Q3) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Q3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat R2) M2))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) Q3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat R2) M2)) Q3)))))))))
% 16.06/16.28 (assume a5167 (forall ((I tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat I) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat I) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) I)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))))))
% 16.06/16.28 (assume a5168 (forall ((R2 tptp.nat) (N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat R2) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat R2) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) R2))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) N) R2))))))
% 16.06/16.28 (assume a5169 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) A))))
% 16.06/16.28 (assume a5170 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) A))))
% 16.06/16.28 (assume a5171 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) A))))
% 16.06/16.28 (assume a5172 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))))
% 16.06/16.28 (assume a5173 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))))
% 16.06/16.28 (assume a5174 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a5175 (forall ((A tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 16.06/16.28 (assume a5176 (forall ((A tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))))
% 16.06/16.28 (assume a5177 (forall ((A tptp.code_integer)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))))
% 16.06/16.28 (assume a5178 (forall ((N tptp.nat) (A tptp.real) (B tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N)))))))
% 16.06/16.28 (assume a5179 (forall ((N tptp.nat) (A tptp.rat) (B tptp.rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B) N)))))))
% 16.06/16.28 (assume a5180 (forall ((N tptp.nat) (A tptp.int) (B tptp.int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B) N)))))))
% 16.06/16.28 (assume a5181 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.28 (assume a5182 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat K2) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat K2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))))))
% 16.06/16.28 (assume a5183 (forall ((N tptp.nat) (K2 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K2)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a5184 (forall ((M2 tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se8260200283734997820nteger M2 A))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M2 tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5185 (forall ((M2 tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat M2) A))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M2 tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5186 (forall ((M2 tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se4203085406695923979it_int M2) A))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M2 tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5187 (forall ((M2 tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se2793503036327961859nteger M2 A))) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= M2 tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5188 (forall ((M2 tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat M2) A))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= M2 tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5189 (forall ((M2 tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se7879613467334960850it_int M2) A))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= M2 tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5190 (forall ((M2 tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se1345352211410354436nteger M2 A))) (not (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M2 tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5191 (forall ((M2 tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat M2) A))) (not (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M2 tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5192 (forall ((M2 tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int M2) A))) (not (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M2 tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5193 (forall ((K2 tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K2) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) L))))))
% 16.06/16.28 (assume a5194 (forall ((A tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (forall ((B3 tptp.code_integer)) (not (= A (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B3) tptp.one_one_Code_integer))))))))
% 16.06/16.28 (assume a5195 (forall ((A tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (forall ((B3 tptp.nat)) (not (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B3)) tptp.one_one_nat))))))))
% 16.06/16.28 (assume a5196 (forall ((A tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (forall ((B3 tptp.int)) (not (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B3)) tptp.one_one_int))))))))
% 16.06/16.28 (assume a5197 (forall ((A tptp.nat)) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))) (not (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat)))))))
% 16.06/16.28 (assume a5198 (forall ((A tptp.int)) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))) (not (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int)))))))
% 16.06/16.28 (assume a5199 (forall ((A tptp.code_integer)) (=> (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))) (not (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (= (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer)))))))
% 16.06/16.28 (assume a5200 (forall ((A tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat)))))
% 16.06/16.28 (assume a5201 (forall ((A tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int)))))
% 16.06/16.28 (assume a5202 (forall ((A tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer)))))
% 16.06/16.28 (assume a5203 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real A) N))))))
% 16.06/16.28 (assume a5204 (forall ((N tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))
% 16.06/16.28 (assume a5205 (forall ((N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 16.06/16.28 (assume a5206 (forall ((N tptp.nat) (A tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real A) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A))))))
% 16.06/16.28 (assume a5207 (forall ((N tptp.nat) (A tptp.rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A))))))
% 16.06/16.28 (assume a5208 (forall ((N tptp.nat) (A tptp.int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A))))))
% 16.06/16.28 (assume a5209 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real A) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))))
% 16.06/16.28 (assume a5210 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))))
% 16.06/16.28 (assume a5211 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))))
% 16.06/16.28 (assume a5212 (forall ((K2 tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K2) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.28 (assume a5213 (forall ((N tptp.nat) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K2)) K2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K2)))))
% 16.06/16.28 (assume a5214 (forall ((A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_set_nat_nat tptp.nat_set_encode A4))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4)))))))
% 16.06/16.28 (assume a5215 (forall ((B tptp.real) (A tptp.real)) (= (= B (tptp.aa_real_real (tptp.plus_plus_real B) A)) (= A tptp.zero_zero_real))))
% 16.06/16.28 (assume a5216 (forall ((B tptp.rat) (A tptp.rat)) (= (= B (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B) A)) (= A tptp.zero_zero_rat))))
% 16.06/16.28 (assume a5217 (forall ((B tptp.nat) (A tptp.nat)) (= (= B (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B) A)) (= A tptp.zero_zero_nat))))
% 16.06/16.28 (assume a5218 (forall ((B tptp.int) (A tptp.int)) (= (= B (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B) A)) (= A tptp.zero_zero_int))))
% 16.06/16.28 (assume a5219 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (= (and (not (= A B)) (not (= C D))) (not (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.times_times_real B) D)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real A) D)) (tptp.aa_real_real (tptp.times_times_real B) C)))))))
% 16.06/16.28 (assume a5220 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (= (and (not (= A B)) (not (= C D))) (not (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) D)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) D)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) C)))))))
% 16.06/16.28 (assume a5221 (forall ((A tptp.nat) (B tptp.nat) (C tptp.nat) (D tptp.nat)) (= (and (not (= A B)) (not (= C D))) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) C)))))))
% 16.06/16.28 (assume a5222 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (= (and (not (= A B)) (not (= C D))) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) C)))))))
% 16.06/16.28 (assume a5223 (forall ((W tptp.real) (Y tptp.real) (X3 tptp.real) (Z tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real W) Y)) (tptp.aa_real_real (tptp.times_times_real X3) Z)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real W) Z)) (tptp.aa_real_real (tptp.times_times_real X3) Y))) (or (= W X3) (= Y Z)))))
% 16.06/16.28 (assume a5224 (forall ((W tptp.rat) (Y tptp.rat) (X3 tptp.rat) (Z tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat W) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat W) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) Y))) (or (= W X3) (= Y Z)))))
% 16.06/16.28 (assume a5225 (forall ((W tptp.nat) (Y tptp.nat) (X3 tptp.nat) (Z tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat W) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X3) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat W) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X3) Y))) (or (= W X3) (= Y Z)))))
% 16.06/16.28 (assume a5226 (forall ((W tptp.int) (Y tptp.int) (X3 tptp.int) (Z tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) Y))) (or (= W X3) (= Y Z)))))
% 16.06/16.28 (assume a5227 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real A) N))) (or (= N tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (not (= A tptp.zero_zero_real))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))))
% 16.06/16.28 (assume a5228 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (or (= N tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (not (= A tptp.zero_zero_rat))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))))
% 16.06/16.28 (assume a5229 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) N))) (or (= N tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (not (= A tptp.zero_zero_int))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))))
% 16.06/16.28 (assume a5230 (forall ((N tptp.nat) (K2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N))))))))
% 16.06/16.28 (assume a5231 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M2) tptp.one_one_Code_integer) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.28 (assume a5232 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.28 (assume a5233 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) tptp.one_one_int)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.28 (assume a5234 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) N)) tptp.zero_zero_real)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= A tptp.zero_zero_real)))))))
% 16.06/16.28 (assume a5235 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) tptp.zero_zero_rat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= A tptp.zero_zero_rat)))))))
% 16.06/16.28 (assume a5236 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) tptp.zero_zero_int)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= A tptp.zero_zero_int)))))))
% 16.06/16.28 (assume a5237 (forall ((X3 tptp.fun_nat_nat)) (= (tptp.size_option_nat X3 tptp.none_nat) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.06/16.28 (assume a5238 (forall ((X3 tptp.fun_Pr2602117396471556196at_nat)) (= (tptp.size_o8335143837870341156at_nat X3 tptp.none_P5556105721700978146at_nat) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.06/16.28 (assume a5239 (forall ((X3 tptp.fun_num_nat)) (= (tptp.size_option_num X3 tptp.none_num) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.06/16.28 (assume a5240 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M2) tptp.one_one_Code_integer) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (or (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_z3403309356797280102nteger) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))))))
% 16.06/16.28 (assume a5241 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))))))
% 16.06/16.28 (assume a5242 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) tptp.one_one_int)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (or (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_int) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))))))
% 16.06/16.28 (assume a5243 (forall ((N tptp.nat) (Z tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N) (tptp.aa_nat_set_nat tptp.nat_set_decode Z)))) (= (tptp.aa_nat_set_nat tptp.nat_set_decode (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) Z)) (tptp.insert_nat N (tptp.aa_nat_set_nat tptp.nat_set_decode Z))))))
% 16.06/16.28 (assume a5244 (forall ((A tptp.code_integer) (M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_z3403309356797280102nteger) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2))))))))))
% 16.06/16.28 (assume a5245 (forall ((A tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2))))))))))
% 16.06/16.28 (assume a5246 (forall ((A tptp.int) (M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_int) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2))))))))))
% 16.06/16.28 (assume a5247 (forall ((N tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B))))))
% 16.06/16.28 (assume a5248 (forall ((N tptp.nat) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B))))))
% 16.06/16.28 (assume a5249 (forall ((N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.28 (assume a5250 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.28 (assume a5251 (forall ((D tptp.code_integer) (D2 tptp.code_integer) (T tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) D2)) (forall ((X tptp.code_integer) (K4 tptp.code_integer)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X T)))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger (tptp.minus_8373710615458151222nteger X (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger K4) D2)) T)))))))))
% 16.06/16.28 (assume a5252 (forall ((D tptp.real) (D2 tptp.real) (T tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) D2)) (forall ((X tptp.real) (K4 tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.plus_plus_real X) T)))) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.minus_minus_real X) (tptp.aa_real_real (tptp.times_times_real K4) D2))) T)))))))))
% 16.06/16.28 (assume a5253 (forall ((D tptp.rat) (D2 tptp.rat) (T tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) D2)) (forall ((X tptp.rat) (K4 tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) T)))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K4) D2))) T)))))))))
% 16.06/16.28 (assume a5254 (forall ((D tptp.int) (D2 tptp.int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) D2)) (forall ((X tptp.int) (K4 tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) T)))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K4) D2))) T)))))))))
% 16.06/16.28 (assume a5255 (forall ((D tptp.code_integer) (D2 tptp.code_integer) (T tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) D2)) (forall ((X tptp.code_integer) (K4 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X T))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger (tptp.minus_8373710615458151222nteger X (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger K4) D2)) T))))))))
% 16.06/16.28 (assume a5256 (forall ((D tptp.real) (D2 tptp.real) (T tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) D2)) (forall ((X tptp.real) (K4 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.plus_plus_real X) T))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.minus_minus_real X) (tptp.aa_real_real (tptp.times_times_real K4) D2))) T))))))))
% 16.06/16.28 (assume a5257 (forall ((D tptp.rat) (D2 tptp.rat) (T tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) D2)) (forall ((X tptp.rat) (K4 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) T))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K4) D2))) T))))))))
% 16.06/16.28 (assume a5258 (forall ((D tptp.int) (D2 tptp.int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) D2)) (forall ((X tptp.int) (K4 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) T))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K4) D2))) T))))))))
% 16.06/16.28 (assume a5259 (forall ((P tptp.fun_Co8822979462182099027r_bool) (L tptp.code_integer)) (= (exists ((X4 tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool P (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger L) X4)))) (exists ((X4 tptp.code_integer)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer L) (tptp.plus_p5714425477246183910nteger X4 tptp.zero_z3403309356797280102nteger))) (tptp.pp (tptp.aa_Code_integer_bool P X4)))))))
% 16.06/16.28 (assume a5260 (forall ((P tptp.fun_real_bool) (L tptp.real)) (= (exists ((X4 tptp.real)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.times_times_real L) X4)))) (exists ((X4 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real L) (tptp.aa_real_real (tptp.plus_plus_real X4) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool P X4)))))))
% 16.06/16.28 (assume a5261 (forall ((P tptp.fun_rat_bool) (L tptp.rat)) (= (exists ((X4 tptp.rat)) (tptp.pp (tptp.aa_rat_bool P (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat L) X4)))) (exists ((X4 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat L) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X4) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool P X4)))))))
% 16.06/16.28 (assume a5262 (forall ((P tptp.fun_nat_bool) (L tptp.nat)) (= (exists ((X4 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat L) X4)))) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat L) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X4) tptp.zero_zero_nat))) (tptp.pp (tptp.aa_nat_bool P X4)))))))
% 16.06/16.28 (assume a5263 (forall ((P tptp.fun_int_bool) (L tptp.int)) (= (exists ((X4 tptp.int)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int L) X4)))) (exists ((X4 tptp.int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) tptp.zero_zero_int))) (tptp.pp (tptp.aa_int_bool P X4)))))))
% 16.06/16.28 (assume a5264 (forall ((X3 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_buildup X3) Y) (=> (=> (= X3 tptp.zero_zero_nat) (not (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))) (=> (=> (= X3 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (not (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))) (not (forall ((Va3 tptp.nat)) (=> (= X3 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)))) (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))))) (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))))))))
% 16.06/16.28 (assume a5265 (forall ((I tptp.nat) (N tptp.nat) (P tptp.fun_nat_bool) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) N)) (=> (tptp.pp (tptp.aa_nat_bool P X3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat (tptp.replicate_nat N X3)) I)))))))
% 16.06/16.28 (assume a5266 (forall ((I tptp.nat) (N tptp.nat) (P tptp.fun_VEBT_VEBT_bool) (X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) N)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool P X3)) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT (tptp.replicate_VEBT_VEBT N X3) I)))))))
% 16.06/16.28 (assume a5267 (forall ((N tptp.nat) (X3 tptp.vEBT_VEBT)) (= (tptp.size_s6755466524823107622T_VEBT (tptp.replicate_VEBT_VEBT N X3)) N)))
% 16.06/16.28 (assume a5268 (forall ((N tptp.nat) (X3 tptp.bool)) (= (tptp.size_size_list_bool (tptp.replicate_bool N X3)) N)))
% 16.06/16.28 (assume a5269 (forall ((N tptp.nat) (X3 tptp.nat)) (= (tptp.size_size_list_nat (tptp.replicate_nat N X3)) N)))
% 16.06/16.28 (assume a5270 (forall ((N tptp.nat) (X3 tptp.int)) (= (tptp.size_size_list_int (tptp.replicate_int N X3)) N)))
% 16.06/16.28 (assume a5271 (forall ((X3 tptp.complex) (N tptp.nat) (Y tptp.complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) (tptp.set_complex2 (tptp.replicate_complex N Y)))) (and (= X3 Y) (not (= N tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5272 (forall ((X3 tptp.real) (N tptp.nat) (Y tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) (tptp.set_real2 (tptp.replicate_real N Y)))) (and (= X3 Y) (not (= N tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5273 (forall ((X3 tptp.bool) (N tptp.nat) (Y tptp.bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) (tptp.set_bool2 (tptp.replicate_bool N Y)))) (and (= (tptp.pp X3) (tptp.pp Y)) (not (= N tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5274 (forall ((X3 tptp.int) (N tptp.nat) (Y tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.set_int2 (tptp.replicate_int N Y)))) (and (= X3 Y) (not (= N tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5275 (forall ((X3 tptp.nat) (N tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) (tptp.set_nat2 (tptp.replicate_nat N Y)))) (and (= X3 Y) (not (= N tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5276 (forall ((X3 tptp.vEBT_VEBT) (N tptp.nat) (Y tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N Y)))) (and (= X3 Y) (not (= N tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5277 (forall ((N tptp.nat) (A tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.set_nat2 (tptp.replicate_nat N A)))) (tptp.pp (tptp.aa_nat_bool P X4)))) (and (tptp.pp (tptp.aa_nat_bool P A)) (not (= N tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5278 (forall ((N tptp.nat) (A tptp.vEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (= (exists ((X4 tptp.vEBT_VEBT)) (and (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N A)))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X4)))) (and (tptp.pp (tptp.aa_VEBT_VEBT_bool P A)) (not (= N tptp.zero_zero_nat))))))
% 16.06/16.28 (assume a5279 (forall ((N tptp.nat) (A tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.set_nat2 (tptp.replicate_nat N A)))) (tptp.pp (tptp.aa_nat_bool P X4)))) (or (tptp.pp (tptp.aa_nat_bool P A)) (= N tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5280 (forall ((N tptp.nat) (A tptp.vEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (= (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N A)))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X4)))) (or (tptp.pp (tptp.aa_VEBT_VEBT_bool P A)) (= N tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5281 (forall ((N tptp.nat) (X3 tptp.produc3843707927480180839at_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_Pr3765526544606949372at_nat (tptp.replic2264142908078655527at_nat N X3)) (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.28 (assume a5282 (forall ((N tptp.nat) (X3 tptp.vEBT_VEBT)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N X3)) (tptp.insert_VEBT_VEBT X3 tptp.bot_bo8194388402131092736T_VEBT)))))
% 16.06/16.28 (assume a5283 (forall ((N tptp.nat) (X3 tptp.product_prod_nat_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_Pr5648618587558075414at_nat (tptp.replic4235873036481779905at_nat N X3)) (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.28 (assume a5284 (forall ((N tptp.nat) (X3 tptp.bool)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_bool2 (tptp.replicate_bool N X3)) (tptp.insert_bool X3 tptp.bot_bot_set_bool)))))
% 16.06/16.28 (assume a5285 (forall ((N tptp.nat) (X3 tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_nat2 (tptp.replicate_nat N X3)) (tptp.insert_nat X3 tptp.bot_bot_set_nat)))))
% 16.06/16.28 (assume a5286 (forall ((N tptp.nat) (X3 tptp.int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_int2 (tptp.replicate_int N X3)) (tptp.insert_int X3 tptp.bot_bot_set_int)))))
% 16.06/16.28 (assume a5287 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M2) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat N) M2)) (= M2 N)))))
% 16.06/16.28 (assume a5288 (forall ((Xs tptp.list_VEBT_VEBT) (X3 tptp.vEBT_VEBT)) (=> (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 Xs))) (= X5 X3))) (= (tptp.replicate_VEBT_VEBT (tptp.size_s6755466524823107622T_VEBT Xs) X3) Xs))))
% 16.06/16.28 (assume a5289 (forall ((Xs tptp.list_bool) (X3 tptp.bool)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.set_bool2 Xs))) (= (tptp.pp X5) (tptp.pp X3)))) (= (tptp.replicate_bool (tptp.size_size_list_bool Xs) X3) Xs))))
% 16.06/16.28 (assume a5290 (forall ((Xs tptp.list_nat) (X3 tptp.nat)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.set_nat2 Xs))) (= X5 X3))) (= (tptp.replicate_nat (tptp.size_size_list_nat Xs) X3) Xs))))
% 16.06/16.28 (assume a5291 (forall ((Xs tptp.list_int) (X3 tptp.int)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.set_int2 Xs))) (= X5 X3))) (= (tptp.replicate_int (tptp.size_size_list_int Xs) X3) Xs))))
% 16.06/16.28 (assume a5292 (forall ((Xs tptp.list_complex) (N tptp.nat) (X3 tptp.complex)) (=> (= (tptp.size_s3451745648224563538omplex Xs) N) (=> (forall ((Y3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y3) (tptp.set_complex2 Xs))) (= Y3 X3))) (= Xs (tptp.replicate_complex N X3))))))
% 16.06/16.28 (assume a5293 (forall ((Xs tptp.list_real) (N tptp.nat) (X3 tptp.real)) (=> (= (tptp.size_size_list_real Xs) N) (=> (forall ((Y3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y3) (tptp.set_real2 Xs))) (= Y3 X3))) (= Xs (tptp.replicate_real N X3))))))
% 16.06/16.28 (assume a5294 (forall ((Xs tptp.list_VEBT_VEBT) (N tptp.nat) (X3 tptp.vEBT_VEBT)) (=> (= (tptp.size_s6755466524823107622T_VEBT Xs) N) (=> (forall ((Y3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT Y3) (tptp.set_VEBT_VEBT2 Xs))) (= Y3 X3))) (= Xs (tptp.replicate_VEBT_VEBT N X3))))))
% 16.06/16.28 (assume a5295 (forall ((Xs tptp.list_bool) (N tptp.nat) (X3 tptp.bool)) (=> (= (tptp.size_size_list_bool Xs) N) (=> (forall ((Y3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Y3) (tptp.set_bool2 Xs))) (= (tptp.pp Y3) (tptp.pp X3)))) (= Xs (tptp.replicate_bool N X3))))))
% 16.06/16.28 (assume a5296 (forall ((Xs tptp.list_nat) (N tptp.nat) (X3 tptp.nat)) (=> (= (tptp.size_size_list_nat Xs) N) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y3) (tptp.set_nat2 Xs))) (= Y3 X3))) (= Xs (tptp.replicate_nat N X3))))))
% 16.06/16.28 (assume a5297 (forall ((Xs tptp.list_int) (N tptp.nat) (X3 tptp.int)) (=> (= (tptp.size_size_list_int Xs) N) (=> (forall ((Y3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y3) (tptp.set_int2 Xs))) (= Y3 X3))) (= Xs (tptp.replicate_int N X3))))))
% 16.06/16.28 (assume a5298 (forall ((N tptp.nat) (X3 tptp.produc3843707927480180839at_nat)) (= (tptp.set_Pr3765526544606949372at_nat (tptp.replic2264142908078655527at_nat (tptp.aa_nat_nat tptp.suc N) X3)) (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat))))
% 16.06/16.28 (assume a5299 (forall ((N tptp.nat) (X3 tptp.vEBT_VEBT)) (= (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat tptp.suc N) X3)) (tptp.insert_VEBT_VEBT X3 tptp.bot_bo8194388402131092736T_VEBT))))
% 16.06/16.28 (assume a5300 (forall ((N tptp.nat) (X3 tptp.product_prod_nat_nat)) (= (tptp.set_Pr5648618587558075414at_nat (tptp.replic4235873036481779905at_nat (tptp.aa_nat_nat tptp.suc N) X3)) (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat))))
% 16.06/16.28 (assume a5301 (forall ((N tptp.nat) (X3 tptp.bool)) (= (tptp.set_bool2 (tptp.replicate_bool (tptp.aa_nat_nat tptp.suc N) X3)) (tptp.insert_bool X3 tptp.bot_bot_set_bool))))
% 16.06/16.28 (assume a5302 (forall ((N tptp.nat) (X3 tptp.nat)) (= (tptp.set_nat2 (tptp.replicate_nat (tptp.aa_nat_nat tptp.suc N) X3)) (tptp.insert_nat X3 tptp.bot_bot_set_nat))))
% 16.06/16.28 (assume a5303 (forall ((N tptp.nat) (X3 tptp.int)) (= (tptp.set_int2 (tptp.replicate_int (tptp.aa_nat_nat tptp.suc N) X3)) (tptp.insert_int X3 tptp.bot_bot_set_int))))
% 16.06/16.28 (assume a5304 (forall ((N tptp.nat) (X3 tptp.produc3843707927480180839at_nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_Pr3765526544606949372at_nat (tptp.replic2264142908078655527at_nat N X3)) tptp.bot_bo228742789529271731at_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_Pr3765526544606949372at_nat (tptp.replic2264142908078655527at_nat N X3)) (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat))))))
% 16.06/16.28 (assume a5305 (forall ((N tptp.nat) (X3 tptp.vEBT_VEBT)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N X3)) tptp.bot_bo8194388402131092736T_VEBT)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_VEBT_VEBT2 (tptp.replicate_VEBT_VEBT N X3)) (tptp.insert_VEBT_VEBT X3 tptp.bot_bo8194388402131092736T_VEBT))))))
% 16.06/16.28 (assume a5306 (forall ((N tptp.nat) (X3 tptp.product_prod_nat_nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_Pr5648618587558075414at_nat (tptp.replic4235873036481779905at_nat N X3)) tptp.bot_bo2099793752762293965at_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_Pr5648618587558075414at_nat (tptp.replic4235873036481779905at_nat N X3)) (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat))))))
% 16.06/16.28 (assume a5307 (forall ((N tptp.nat) (X3 tptp.bool)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_bool2 (tptp.replicate_bool N X3)) tptp.bot_bot_set_bool)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_bool2 (tptp.replicate_bool N X3)) (tptp.insert_bool X3 tptp.bot_bot_set_bool))))))
% 16.06/16.28 (assume a5308 (forall ((N tptp.nat) (X3 tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_nat2 (tptp.replicate_nat N X3)) tptp.bot_bot_set_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_nat2 (tptp.replicate_nat N X3)) (tptp.insert_nat X3 tptp.bot_bot_set_nat))))))
% 16.06/16.28 (assume a5309 (forall ((N tptp.nat) (X3 tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.set_int2 (tptp.replicate_int N X3)) tptp.bot_bot_set_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.set_int2 (tptp.replicate_int N X3)) (tptp.insert_int X3 tptp.bot_bot_set_int))))))
% 16.06/16.28 (assume a5310 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T) X))))))))
% 16.06/16.28 (assume a5311 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z2)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat T) X))))))))
% 16.06/16.28 (assume a5312 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num T) X))))))))
% 16.06/16.28 (assume a5313 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat T) X))))))))
% 16.06/16.28 (assume a5314 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) X))))))))
% 16.06/16.28 (assume a5315 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) T)))))))
% 16.06/16.28 (assume a5316 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) T)))))))
% 16.06/16.28 (assume a5317 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) T)))))))
% 16.06/16.28 (assume a5318 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) T)))))))
% 16.06/16.28 (assume a5319 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) T)))))))
% 16.06/16.28 (assume a5320 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T) X)))))))
% 16.06/16.28 (assume a5321 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat T) X)))))))
% 16.06/16.28 (assume a5322 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num T) X)))))))
% 16.06/16.28 (assume a5323 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat T) X)))))))
% 16.06/16.28 (assume a5324 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) X)))))))
% 16.06/16.28 (assume a5325 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) T))))))))
% 16.06/16.28 (assume a5326 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) T))))))))
% 16.06/16.28 (assume a5327 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) T))))))))
% 16.06/16.28 (assume a5328 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) T))))))))
% 16.06/16.28 (assume a5329 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) T))))))))
% 16.06/16.28 (assume a5330 (forall ((P tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B tptp.nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) B3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P B3) A3)))) (=> (forall ((A3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) tptp.zero_zero_nat))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) B3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A3) B3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A) B)))))))
% 16.06/16.28 (assume a5331 (forall ((D tptp.nat) (A tptp.nat) (B tptp.nat) (X3 tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) B)) (=> (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) Y)) D)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y)) D))) (exists ((X5 tptp.nat) (Y3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) Y3)) D)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) X5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y3)) D))))))))))
% 16.06/16.28 (assume a5332 (forall ((A tptp.nat) (B tptp.nat)) (exists ((D4 tptp.nat) (X5 tptp.nat) (Y3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D4) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D4) B)) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) Y3)) D4)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) X5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y3)) D4)))))))
% 16.06/16.28 (assume a5333 (forall ((Va tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)))) (= (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))))) (= (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.06/16.28 (assume a5334 (forall ((D tptp.code_integer) (S tptp.code_integer)) (exists ((Z2 tptp.code_integer)) (forall ((X tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X) Z2)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X S)))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X S))))))))))
% 16.06/16.28 (assume a5335 (forall ((D tptp.real) (S tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z2)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.plus_plus_real X) S)))) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.plus_plus_real X) S))))))))))
% 16.06/16.28 (assume a5336 (forall ((D tptp.rat) (S tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z2)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) S)))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) S))))))))))
% 16.06/16.28 (assume a5337 (forall ((D tptp.nat) (S tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z2)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) S)))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) S))))))))))
% 16.06/16.28 (assume a5338 (forall ((D tptp.int) (S tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z2)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) S)))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) S))))))))))
% 16.06/16.28 (assume a5339 (forall ((D tptp.code_integer) (S tptp.code_integer)) (exists ((Z2 tptp.code_integer)) (forall ((X tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X) Z2)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X S))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X S)))))))))
% 16.06/16.28 (assume a5340 (forall ((D tptp.real) (S tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.plus_plus_real X) S))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.plus_plus_real X) S)))))))))
% 16.06/16.28 (assume a5341 (forall ((D tptp.rat) (S tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) S))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) S)))))))))
% 16.06/16.28 (assume a5342 (forall ((D tptp.nat) (S tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) S))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) S)))))))))
% 16.06/16.28 (assume a5343 (forall ((D tptp.int) (S tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z2)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) S))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) S)))))))))
% 16.06/16.28 (assume a5344 (forall ((D tptp.code_integer) (S tptp.code_integer)) (exists ((Z2 tptp.code_integer)) (forall ((X tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger Z2) X)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X S)))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X S))))))))))
% 16.06/16.28 (assume a5345 (forall ((D tptp.real) (S tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.plus_plus_real X) S)))) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.plus_plus_real X) S))))))))))
% 16.06/16.28 (assume a5346 (forall ((D tptp.rat) (S tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) S)))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) S))))))))))
% 16.06/16.28 (assume a5347 (forall ((D tptp.nat) (S tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) S)))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) S))))))))))
% 16.06/16.28 (assume a5348 (forall ((D tptp.int) (S tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) S)))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) S))))))))))
% 16.06/16.28 (assume a5349 (forall ((D tptp.code_integer) (S tptp.code_integer)) (exists ((Z2 tptp.code_integer)) (forall ((X tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger Z2) X)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X S))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X S)))))))))
% 16.06/16.28 (assume a5350 (forall ((D tptp.real) (S tptp.real)) (exists ((Z2 tptp.real)) (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.plus_plus_real X) S))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.plus_plus_real X) S)))))))))
% 16.06/16.28 (assume a5351 (forall ((D tptp.rat) (S tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) S))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) S)))))))))
% 16.06/16.28 (assume a5352 (forall ((D tptp.nat) (S tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) S))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) S)))))))))
% 16.06/16.28 (assume a5353 (forall ((D tptp.int) (S tptp.int)) (exists ((Z2 tptp.int)) (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) S))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) S)))))))))
% 16.06/16.28 (assume a5354 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (exists ((D4 tptp.nat) (X5 tptp.nat) (Y3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D4) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D4) B)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) Y3)) D4)))))))
% 16.06/16.28 (assume a5355 (forall ((N tptp.nat) (A tptp.code_integer)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.bit_ri6519982836138164636nteger N A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.bit_ri6519982836138164636nteger N A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_ri6519982836138164636nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat) (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.06/16.28 (assume a5356 (forall ((N tptp.nat) (A tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.06/16.28 (assume a5357 (forall ((X3 tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_buildup X3) Y) (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) X3)) (=> (=> (= X3 tptp.zero_zero_nat) (=> (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (not (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) tptp.zero_zero_nat))))) (=> (=> (= X3 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (=> (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (not (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))) (not (forall ((Va3 tptp.nat)) (=> (= X3 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (=> (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)))) (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))))) (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)) (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va3)))))))))))))))
% 16.06/16.28 (assume a5358 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat tptp.zero_zero_nat) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.28 (assume a5359 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int tptp.zero_zero_nat) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.28 (assume a5360 (forall ((A tptp.code_integer)) (= (tptp.bit_se1345352211410354436nteger tptp.zero_zero_nat A) (tptp.plus_p5714425477246183910nteger (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.28 (assume a5361 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.artanh_real X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) X3)) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) X3)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5362 (forall ((L tptp.num) (Qr tptp.product_prod_nat_nat)) (= (tptp.unique5026877609467782581ep_nat L Qr) (tptp.aa_Pro262675715343573244at_nat (tptp.produc2626176000494625587at_nat (tptp.aTP_Lamm_fw L)) Qr))))
% 16.06/16.28 (assume a5363 (forall ((L tptp.num) (Qr tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.unique5024387138958732305ep_int L) Qr) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_fx L)) Qr))))
% 16.06/16.28 (assume a5364 (forall ((L tptp.num) (Qr tptp.produc8923325533196201883nteger)) (= (tptp.unique4921790084139445826nteger L Qr) (tptp.produc6916734918728496179nteger (tptp.aTP_Lamm_fy L) Qr))))
% 16.06/16.28 (assume a5365 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.06/16.28 (assume a5366 (forall ((N tptp.nat) (A tptp.code_integer)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.bit_se1745604003318907178nteger N A) tptp.zero_z3403309356797280102nteger)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.bit_se1745604003318907178nteger N A) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat) (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.28 (assume a5367 (forall ((N tptp.nat) (A tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) tptp.zero_zero_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.28 (assume a5368 (forall ((N tptp.nat) (A tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) tptp.zero_zero_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.28 (assume a5369 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) A)))
% 16.06/16.28 (assume a5370 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) A)))
% 16.06/16.28 (assume a5371 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) A)))
% 16.06/16.28 (assume a5372 (forall ((A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) A)))
% 16.06/16.28 (assume a5373 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A)))
% 16.06/16.28 (assume a5374 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B)) (= A B))))
% 16.06/16.28 (assume a5375 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)) (= A B))))
% 16.06/16.28 (assume a5376 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (= A B))))
% 16.06/16.28 (assume a5377 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (= A B))))
% 16.06/16.28 (assume a5378 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (= A B))))
% 16.06/16.28 (assume a5379 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat A4)) (tptp.uminus5710092332889474511et_nat B4))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)))))
% 16.06/16.28 (assume a5380 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat B4)) (tptp.uminus5710092332889474511et_nat A4))))))
% 16.06/16.28 (assume a5381 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat X3)) (tptp.uminus5710092332889474511et_nat Y))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) X3)))))
% 16.06/16.28 (assume a5382 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 16.06/16.28 (assume a5383 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B)))))
% 16.06/16.28 (assume a5384 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 16.06/16.28 (assume a5385 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 16.06/16.28 (assume a5386 (= (tptp.aa_int_int tptp.uminus_uminus_int tptp.zero_zero_int) tptp.zero_zero_int))
% 16.06/16.28 (assume a5387 (= (tptp.aa_real_real tptp.uminus_uminus_real tptp.zero_zero_real) tptp.zero_zero_real))
% 16.06/16.28 (assume a5388 (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 16.06/16.28 (assume a5389 (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger))
% 16.06/16.28 (assume a5390 (= (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 16.06/16.28 (assume a5391 (forall ((A tptp.int)) (= (= tptp.zero_zero_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (= tptp.zero_zero_int A))))
% 16.06/16.28 (assume a5392 (forall ((A tptp.real)) (= (= tptp.zero_zero_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (= tptp.zero_zero_real A))))
% 16.06/16.28 (assume a5393 (forall ((A tptp.complex)) (= (= tptp.zero_zero_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (= tptp.zero_zero_complex A))))
% 16.06/16.28 (assume a5394 (forall ((A tptp.code_integer)) (= (= tptp.zero_z3403309356797280102nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (= tptp.zero_z3403309356797280102nteger A))))
% 16.06/16.28 (assume a5395 (forall ((A tptp.rat)) (= (= tptp.zero_zero_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (= tptp.zero_zero_rat A))))
% 16.06/16.28 (assume a5396 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 16.06/16.28 (assume a5397 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 16.06/16.28 (assume a5398 (forall ((A tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))
% 16.06/16.28 (assume a5399 (forall ((A tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a5400 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 16.06/16.28 (assume a5401 (forall ((A tptp.int)) (= (= A (tptp.aa_int_int tptp.uminus_uminus_int A)) (= A tptp.zero_zero_int))))
% 16.06/16.28 (assume a5402 (forall ((A tptp.real)) (= (= A (tptp.aa_real_real tptp.uminus_uminus_real A)) (= A tptp.zero_zero_real))))
% 16.06/16.28 (assume a5403 (forall ((A tptp.code_integer)) (= (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (= A tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a5404 (forall ((A tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (= A tptp.zero_zero_rat))))
% 16.06/16.28 (assume a5405 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) A) (= A tptp.zero_zero_int))))
% 16.06/16.28 (assume a5406 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) A) (= A tptp.zero_zero_real))))
% 16.06/16.28 (assume a5407 (forall ((A tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) A) (= A tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a5408 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) A) (= A tptp.zero_zero_rat))))
% 16.06/16.28 (assume a5409 (forall ((B tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)))))
% 16.06/16.28 (assume a5410 (forall ((B tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 16.06/16.28 (assume a5411 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) B)))))
% 16.06/16.28 (assume a5412 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)))))
% 16.06/16.28 (assume a5413 (forall ((M2 tptp.num) (N tptp.num)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (= M2 N))))
% 16.06/16.28 (assume a5414 (forall ((M2 tptp.num) (N tptp.num)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (= M2 N))))
% 16.06/16.28 (assume a5415 (forall ((M2 tptp.num) (N tptp.num)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M2)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (= M2 N))))
% 16.06/16.28 (assume a5416 (forall ((M2 tptp.num) (N tptp.num)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))) (= M2 N))))
% 16.06/16.28 (assume a5417 (forall ((M2 tptp.num) (N tptp.num)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (= M2 N))))
% 16.06/16.28 (assume a5418 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.uminus_uminus_int B)))))
% 16.06/16.28 (assume a5419 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.uminus_uminus_real B)))))
% 16.06/16.28 (assume a5420 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)))))
% 16.06/16.28 (assume a5421 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger A B)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)))))
% 16.06/16.28 (assume a5422 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))
% 16.06/16.28 (assume a5423 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) B)))
% 16.06/16.28 (assume a5424 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real (tptp.plus_plus_real A) B)) B)))
% 16.06/16.28 (assume a5425 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) B)))
% 16.06/16.28 (assume a5426 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.plus_p5714425477246183910nteger A B)) B)))
% 16.06/16.28 (assume a5427 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) B)))
% 16.06/16.28 (assume a5428 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B)) B)))
% 16.06/16.28 (assume a5429 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B)) B)))
% 16.06/16.28 (assume a5430 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B)) B)))
% 16.06/16.28 (assume a5431 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger A (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B)) B)))
% 16.06/16.28 (assume a5432 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B)) B)))
% 16.06/16.28 (assume a5433 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A))))
% 16.06/16.28 (assume a5434 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) (tptp.aa_real_real (tptp.minus_minus_real B) A))))
% 16.06/16.28 (assume a5435 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B)) (tptp.aa_complex_complex (tptp.minus_minus_complex B) A))))
% 16.06/16.28 (assume a5436 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.minus_8373710615458151222nteger A B)) (tptp.minus_8373710615458151222nteger B A))))
% 16.06/16.28 (assume a5437 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) A))))
% 16.06/16.28 (assume a5438 (forall ((M2 tptp.num) (N tptp.num)) (not (= (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit1 N)))))
% 16.06/16.28 (assume a5439 (forall ((M2 tptp.num) (N tptp.num)) (not (= (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit0 N)))))
% 16.06/16.28 (assume a5440 (forall ((N tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit1 N)))))
% 16.06/16.28 (assume a5441 (forall ((M2 tptp.num)) (not (= (tptp.aa_num_num tptp.bit1 M2) tptp.one))))
% 16.06/16.28 (assume a5442 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.uminus6524753893492686040at_nat A4)) A4) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.28 (assume a5443 (forall ((A4 tptp.set_bool)) (= (tptp.inf_inf_set_bool (tptp.uminus5166143097222041326t_bool A4) A4) tptp.bot_bot_set_bool)))
% 16.06/16.28 (assume a5444 (forall ((A4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.uminus5710092332889474511et_nat A4)) A4) tptp.bot_bot_set_nat)))
% 16.06/16.28 (assume a5445 (forall ((A4 tptp.set_int)) (= (tptp.inf_inf_set_int (tptp.uminus1532241313380277803et_int A4) A4) tptp.bot_bot_set_int)))
% 16.06/16.28 (assume a5446 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.uminus6524753893492686040at_nat A4)) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.28 (assume a5447 (forall ((A4 tptp.set_bool)) (= (tptp.inf_inf_set_bool A4 (tptp.uminus5166143097222041326t_bool A4)) tptp.bot_bot_set_bool)))
% 16.06/16.28 (assume a5448 (forall ((A4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.uminus5710092332889474511et_nat A4)) tptp.bot_bot_set_nat)))
% 16.06/16.28 (assume a5449 (forall ((A4 tptp.set_int)) (= (tptp.inf_inf_set_int A4 (tptp.uminus1532241313380277803et_int A4)) tptp.bot_bot_set_int)))
% 16.06/16.28 (assume a5450 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_bool_rat tptp.zero_n2052037380579107095ol_rat P)) (tptp.aa_bool_rat tptp.zero_n2052037380579107095ol_rat Q))) (=> (tptp.pp P) (tptp.pp Q)))))
% 16.06/16.28 (assume a5451 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat P)) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat Q))) (=> (tptp.pp P) (tptp.pp Q)))))
% 16.06/16.28 (assume a5452 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int Q))) (=> (tptp.pp P) (tptp.pp Q)))))
% 16.06/16.28 (assume a5453 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger P)) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger Q))) (=> (tptp.pp P) (tptp.pp Q)))))
% 16.06/16.28 (assume a5454 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.uminus6524753893492686040at_nat B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))))
% 16.06/16.28 (assume a5455 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.uminus5710092332889474511et_nat B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))
% 16.06/16.28 (assume a5456 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.uminus935396558254630718at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.uminus935396558254630718at_nat A4)) B4))))
% 16.06/16.28 (assume a5457 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.uminus5710092332889474511et_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.uminus5710092332889474511et_nat A4)) B4))))
% 16.06/16.28 (assume a5458 (forall ((F tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool F A) B)))))
% 16.06/16.28 (assume a5459 (forall ((F tptp.fun_nat_fun_nat_nat) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F A) B))))
% 16.06/16.28 (assume a5460 (forall ((F tptp.fun_na1668100129766719005at_nat) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B)) (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat F A) B))))
% 16.06/16.28 (assume a5461 (forall ((F tptp.fun_na4786964484885125043t_bool) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B)) (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool F A) B))))
% 16.06/16.28 (assume a5462 (forall ((F tptp.fun_in1696471567231710611nt_int) (A tptp.int) (B tptp.int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int F) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int F A) B))))
% 16.06/16.28 (assume a5463 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 16.06/16.28 (assume a5464 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger)))))
% 16.06/16.28 (assume a5465 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 16.06/16.28 (assume a5466 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)))))
% 16.06/16.28 (assume a5467 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 16.06/16.28 (assume a5468 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)))))
% 16.06/16.28 (assume a5469 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 16.06/16.28 (assume a5470 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))
% 16.06/16.28 (assume a5471 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 16.06/16.28 (assume a5472 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger)))))
% 16.06/16.28 (assume a5473 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 16.06/16.28 (assume a5474 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)))))
% 16.06/16.28 (assume a5475 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 16.06/16.28 (assume a5476 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)))))
% 16.06/16.28 (assume a5477 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 16.06/16.28 (assume a5478 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))
% 16.06/16.28 (assume a5479 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 16.06/16.28 (assume a5480 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 16.06/16.28 (assume a5481 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)))))
% 16.06/16.28 (assume a5482 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 16.06/16.28 (assume a5483 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int A)) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))
% 16.06/16.28 (assume a5484 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real A)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 16.06/16.28 (assume a5485 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)))))
% 16.06/16.28 (assume a5486 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))
% 16.06/16.28 (assume a5487 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 16.06/16.28 (assume a5488 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 16.06/16.28 (assume a5489 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)))))
% 16.06/16.28 (assume a5490 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 16.06/16.28 (assume a5491 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int A)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))
% 16.06/16.28 (assume a5492 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 16.06/16.28 (assume a5493 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)))))
% 16.06/16.28 (assume a5494 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))
% 16.06/16.28 (assume a5495 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int tptp.uminus_uminus_int A)) tptp.zero_zero_int)))
% 16.06/16.28 (assume a5496 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real tptp.uminus_uminus_real A)) tptp.zero_zero_real)))
% 16.06/16.28 (assume a5497 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) tptp.zero_zero_complex)))
% 16.06/16.28 (assume a5498 (forall ((A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger)))
% 16.06/16.28 (assume a5499 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) tptp.zero_zero_rat)))
% 16.06/16.28 (assume a5500 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) A) tptp.zero_zero_int)))
% 16.06/16.28 (assume a5501 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) A) tptp.zero_zero_real)))
% 16.06/16.28 (assume a5502 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) A) tptp.zero_zero_complex)))
% 16.06/16.28 (assume a5503 (forall ((A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) A) tptp.zero_z3403309356797280102nteger)))
% 16.06/16.28 (assume a5504 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A) tptp.zero_zero_rat)))
% 16.06/16.28 (assume a5505 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.zero_zero_int) A) (tptp.aa_int_int tptp.uminus_uminus_int A))))
% 16.06/16.28 (assume a5506 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real tptp.zero_zero_real) A) (tptp.aa_real_real tptp.uminus_uminus_real A))))
% 16.06/16.28 (assume a5507 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.zero_zero_complex) A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A))))
% 16.06/16.28 (assume a5508 (forall ((A tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger tptp.zero_z3403309356797280102nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))
% 16.06/16.28 (assume a5509 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.zero_zero_rat) A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))
% 16.06/16.28 (assume a5510 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.06/16.28 (assume a5511 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_num_real tptp.numeral_numeral_real N))))))
% 16.06/16.28 (assume a5512 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M2))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex M2)) (tptp.numera6690914467698888265omplex N))))))
% 16.06/16.28 (assume a5513 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))))))
% 16.06/16.28 (assume a5514 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))))))
% 16.06/16.28 (assume a5515 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B))))
% 16.06/16.28 (assume a5516 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real (tptp.plus_plus_real A) B))))
% 16.06/16.28 (assume a5517 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B))))
% 16.06/16.28 (assume a5518 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (tptp.plus_p5714425477246183910nteger A B))))
% 16.06/16.28 (assume a5519 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B))))
% 16.06/16.28 (assume a5520 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A))))
% 16.06/16.28 (assume a5521 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B) (tptp.aa_real_real (tptp.minus_minus_real B) A))))
% 16.06/16.28 (assume a5522 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B) (tptp.aa_complex_complex (tptp.minus_minus_complex B) A))))
% 16.06/16.28 (assume a5523 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B) (tptp.minus_8373710615458151222nteger B A))))
% 16.06/16.28 (assume a5524 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) A))))
% 16.06/16.28 (assume a5525 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.28 (assume a5526 (forall ((X3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) (tptp.uminus6524753893492686040at_nat X3)) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.28 (assume a5527 (forall ((X3 tptp.set_bool)) (= (tptp.inf_inf_set_bool X3 (tptp.uminus5166143097222041326t_bool X3)) tptp.bot_bot_set_bool)))
% 16.06/16.28 (assume a5528 (forall ((X3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) (tptp.uminus5710092332889474511et_nat X3)) tptp.bot_bot_set_nat)))
% 16.06/16.28 (assume a5529 (forall ((X3 tptp.set_int)) (= (tptp.inf_inf_set_int X3 (tptp.uminus1532241313380277803et_int X3)) tptp.bot_bot_set_int)))
% 16.06/16.28 (assume a5530 (forall ((X3 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.uminus6524753893492686040at_nat X3)) X3) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.28 (assume a5531 (forall ((X3 tptp.set_bool)) (= (tptp.inf_inf_set_bool (tptp.uminus5166143097222041326t_bool X3) X3) tptp.bot_bot_set_bool)))
% 16.06/16.28 (assume a5532 (forall ((X3 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.uminus5710092332889474511et_nat X3)) X3) tptp.bot_bot_set_nat)))
% 16.06/16.28 (assume a5533 (forall ((X3 tptp.set_int)) (= (tptp.inf_inf_set_int (tptp.uminus1532241313380277803et_int X3) X3) tptp.bot_bot_set_int)))
% 16.06/16.28 (assume a5534 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat Y) (tptp.uminus6524753893492686040at_nat X3))) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.28 (assume a5535 (forall ((X3 tptp.set_bool) (Y tptp.set_bool)) (= (tptp.inf_inf_set_bool X3 (tptp.inf_inf_set_bool Y (tptp.uminus5166143097222041326t_bool X3))) tptp.bot_bot_set_bool)))
% 16.06/16.28 (assume a5536 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat Y) (tptp.uminus5710092332889474511et_nat X3))) tptp.bot_bot_set_nat)))
% 16.06/16.28 (assume a5537 (forall ((X3 tptp.set_int) (Y tptp.set_int)) (= (tptp.inf_inf_set_int X3 (tptp.inf_inf_set_int Y (tptp.uminus1532241313380277803et_int X3))) tptp.bot_bot_set_int)))
% 16.06/16.28 (assume a5538 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.uminus6524753893492686040at_nat X3)) Y)) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.28 (assume a5539 (forall ((X3 tptp.set_bool) (Y tptp.set_bool)) (= (tptp.inf_inf_set_bool X3 (tptp.inf_inf_set_bool (tptp.uminus5166143097222041326t_bool X3) Y)) tptp.bot_bot_set_bool)))
% 16.06/16.28 (assume a5540 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.uminus5710092332889474511et_nat X3)) Y)) tptp.bot_bot_set_nat)))
% 16.06/16.28 (assume a5541 (forall ((X3 tptp.set_int) (Y tptp.set_int)) (= (tptp.inf_inf_set_int X3 (tptp.inf_inf_set_int (tptp.uminus1532241313380277803et_int X3) Y)) tptp.bot_bot_set_int)))
% 16.06/16.28 (assume a5542 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.uminus6524753893492686040at_nat X3)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Y)) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.28 (assume a5543 (forall ((X3 tptp.set_bool) (Y tptp.set_bool)) (= (tptp.inf_inf_set_bool (tptp.uminus5166143097222041326t_bool X3) (tptp.inf_inf_set_bool X3 Y)) tptp.bot_bot_set_bool)))
% 16.06/16.28 (assume a5544 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.uminus5710092332889474511et_nat X3)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Y)) tptp.bot_bot_set_nat)))
% 16.06/16.28 (assume a5545 (forall ((X3 tptp.set_int) (Y tptp.set_int)) (= (tptp.inf_inf_set_int (tptp.uminus1532241313380277803et_int X3) (tptp.inf_inf_set_int X3 Y)) tptp.bot_bot_set_int)))
% 16.06/16.28 (assume a5546 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat A4) (tptp.uminus935396558254630718at_nat (tptp.insert9069300056098147895at_nat B tptp.bot_bo228742789529271731at_nat)))) (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat B) A4))))))
% 16.06/16.28 (assume a5547 (forall ((A4 tptp.set_complex) (B tptp.complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) (tptp.uminus8566677241136511917omplex (tptp.insert_complex B tptp.bot_bot_set_complex)))) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B) A4))))))
% 16.06/16.28 (assume a5548 (forall ((A4 tptp.set_real) (B tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) (tptp.uminus612125837232591019t_real (tptp.insert_real B tptp.bot_bot_set_real)))) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) A4))))))
% 16.06/16.28 (assume a5549 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) (tptp.uminus6524753893492686040at_nat (tptp.insert8211810215607154385at_nat B tptp.bot_bo2099793752762293965at_nat)))) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat B) A4))))))
% 16.06/16.28 (assume a5550 (forall ((A4 tptp.set_bool) (B tptp.bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) (tptp.uminus5166143097222041326t_bool (tptp.insert_bool B tptp.bot_bot_set_bool)))) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B) A4))))))
% 16.06/16.28 (assume a5551 (forall ((A4 tptp.set_int) (B tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) (tptp.uminus1532241313380277803et_int (tptp.insert_int B tptp.bot_bot_set_int)))) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) A4))))))
% 16.06/16.28 (assume a5552 (forall ((A4 tptp.set_nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.uminus5710092332889474511et_nat (tptp.insert_nat B tptp.bot_bot_set_nat)))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B) A4))))))
% 16.06/16.28 (assume a5553 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_nat) tptp.one_one_nat)))
% 16.06/16.28 (assume a5554 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_int) tptp.one_one_int)))
% 16.06/16.28 (assume a5555 (forall ((L tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) tptp.one_one_nat) tptp.one_one_nat)))
% 16.06/16.28 (assume a5556 (forall ((L tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) tptp.one_one_int) tptp.one_one_int)))
% 16.06/16.28 (assume a5557 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 16.06/16.28 (assume a5558 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.28 (assume a5559 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bit1 M2)) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.28 (assume a5560 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.bit1 M2)) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.bit1 M2)) N)))))
% 16.06/16.28 (assume a5561 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) (tptp.aa_num_num tptp.bit1 N))))))
% 16.06/16.28 (assume a5562 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_num tptp.bit1 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N)))))
% 16.06/16.28 (assume a5563 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num tptp.bit1 M2)) (tptp.aa_num_num tptp.bit0 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)))))
% 16.06/16.28 (assume a5564 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit1 M2)) tptp.one)))))
% 16.06/16.28 (assume a5565 (forall ((N tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) (tptp.aa_num_num tptp.bit1 N)))))
% 16.06/16.28 (assume a5566 (forall ((K2 tptp.num)) (= (tptp.aa_int_int tptp.neg_numeral_dbl_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.neg_numeral_dbl_int (tptp.aa_num_int tptp.numeral_numeral_int K2))))))
% 16.06/16.28 (assume a5567 (forall ((K2 tptp.num)) (= (tptp.aa_real_real tptp.neg_numeral_dbl_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real K2))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.neg_numeral_dbl_real (tptp.aa_num_real tptp.numeral_numeral_real K2))))))
% 16.06/16.28 (assume a5568 (forall ((K2 tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex K2))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex (tptp.numera6690914467698888265omplex K2))))))
% 16.06/16.28 (assume a5569 (forall ((K2 tptp.num)) (= (tptp.neg_nu8804712462038260780nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger K2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.neg_nu8804712462038260780nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger K2))))))
% 16.06/16.28 (assume a5570 (forall ((K2 tptp.num)) (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2))))))
% 16.06/16.28 (assume a5571 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int))
% 16.06/16.28 (assume a5572 (= (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.zero_zero_real))
% 16.06/16.28 (assume a5573 (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) tptp.zero_zero_complex))
% 16.06/16.28 (assume a5574 (= (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger))
% 16.06/16.28 (assume a5575 (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.zero_zero_rat))
% 16.06/16.28 (assume a5576 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int) tptp.zero_zero_int))
% 16.06/16.28 (assume a5577 (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real) tptp.zero_zero_real))
% 16.06/16.28 (assume a5578 (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) tptp.one_one_complex) tptp.zero_zero_complex))
% 16.06/16.28 (assume a5579 (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) tptp.one_one_Code_integer) tptp.zero_z3403309356797280102nteger))
% 16.06/16.28 (assume a5580 (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.one_one_rat) tptp.zero_zero_rat))
% 16.06/16.28 (assume a5581 (forall ((N tptp.num)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= N tptp.one))))
% 16.06/16.28 (assume a5582 (forall ((N tptp.num)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (= N tptp.one))))
% 16.06/16.28 (assume a5583 (forall ((N tptp.num)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (= N tptp.one))))
% 16.06/16.28 (assume a5584 (forall ((N tptp.num)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (= N tptp.one))))
% 16.06/16.28 (assume a5585 (forall ((N tptp.num)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (= N tptp.one))))
% 16.06/16.28 (assume a5586 (forall ((N tptp.num)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (= N tptp.one))))
% 16.06/16.28 (assume a5587 (forall ((N tptp.num)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (= N tptp.one))))
% 16.06/16.28 (assume a5588 (forall ((N tptp.num)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (= N tptp.one))))
% 16.06/16.28 (assume a5589 (forall ((N tptp.num)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))) (= N tptp.one))))
% 16.06/16.28 (assume a5590 (forall ((N tptp.num)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (= N tptp.one))))
% 16.06/16.28 (assume a5591 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) tptp.one_one_int)))
% 16.06/16.28 (assume a5592 (forall ((N tptp.nat)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) tptp.one_one_real)))
% 16.06/16.28 (assume a5593 (forall ((N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) tptp.one_one_complex)))
% 16.06/16.28 (assume a5594 (forall ((N tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N)) tptp.one_one_Code_integer)))
% 16.06/16.28 (assume a5595 (forall ((N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) tptp.one_one_rat)))
% 16.06/16.28 (assume a5596 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) A)) A)))
% 16.06/16.28 (assume a5597 (forall ((N tptp.nat) (A tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) A)) A)))
% 16.06/16.28 (assume a5598 (forall ((N tptp.nat) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) A)) A)))
% 16.06/16.28 (assume a5599 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N)) A)) A)))
% 16.06/16.28 (assume a5600 (forall ((N tptp.nat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) A)) A)))
% 16.06/16.28 (assume a5601 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2)))) (= (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))))) (= (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_num_real tptp.numeral_numeral_real U)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_num_real tptp.numeral_numeral_real U))))))
% 16.06/16.28 (assume a5602 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2)))) (= (tptp.ord_max_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2)))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2))))) (= (tptp.ord_max_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U))))))
% 16.06/16.28 (assume a5603 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_num_rat tptp.numeral_numeral_rat U))))))
% 16.06/16.28 (assume a5604 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int U)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int U)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int U)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_num_int tptp.numeral_numeral_int U)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_num_int tptp.numeral_numeral_int U))))))
% 16.06/16.28 (assume a5605 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_num_real tptp.numeral_numeral_real V2))) (= (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_num_real tptp.numeral_numeral_real V2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_num_real tptp.numeral_numeral_real V2)))) (= (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U)))))))
% 16.06/16.28 (assume a5606 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2))) (= (tptp.ord_max_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2)))) (= (tptp.ord_max_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U)))))))
% 16.06/16.28 (assume a5607 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_num_rat tptp.numeral_numeral_rat V2)))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)))))))
% 16.06/16.28 (assume a5608 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U))) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U))) (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U))) (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U))) (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U)))))))
% 16.06/16.28 (assume a5609 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2)))) (= (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))))) (= (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real U)))))))
% 16.06/16.28 (assume a5610 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2)))) (= (tptp.ord_max_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2)))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2))))) (= (tptp.ord_max_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger U)))))))
% 16.06/16.28 (assume a5611 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.ord_max_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat U)))))))
% 16.06/16.28 (assume a5612 (forall ((U tptp.num) (V2 tptp.num)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int U)))))))
% 16.06/16.28 (assume a5613 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V2) W)))) Y))))
% 16.06/16.28 (assume a5614 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) Y)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V2) W)))) Y))))
% 16.06/16.28 (assume a5615 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex V2))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) Y)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V2) W)))) Y))))
% 16.06/16.28 (assume a5616 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger W)) Y)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V2) W))) Y))))
% 16.06/16.28 (assume a5617 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num V2) W)))) Y))))
% 16.06/16.28 (assume a5618 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N))))))
% 16.06/16.28 (assume a5619 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N))))))
% 16.06/16.28 (assume a5620 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M2))) (tptp.numera6690914467698888265omplex N)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N))))))
% 16.06/16.28 (assume a5621 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N))))))
% 16.06/16.28 (assume a5622 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N))))))
% 16.06/16.28 (assume a5623 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.28 (assume a5624 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.28 (assume a5625 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.numera6690914467698888265omplex M2)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.28 (assume a5626 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.28 (assume a5627 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)))))
% 16.06/16.28 (assume a5628 (forall ((V2 tptp.num) (W tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 V2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_num_int tptp.numeral_numeral_int W)))))
% 16.06/16.28 (assume a5629 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit1 N))))
% 16.06/16.28 (assume a5630 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num N) tptp.one)))))
% 16.06/16.28 (assume a5631 (forall ((M2 tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bit0 M2)) tptp.one) (tptp.aa_num_num tptp.bit1 M2))))
% 16.06/16.28 (assume a5632 (forall ((M2 tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bit1 M2)) tptp.one) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) tptp.one)))))
% 16.06/16.28 (assume a5633 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bit1 M2)) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)) tptp.one)))))
% 16.06/16.28 (assume a5634 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int W)) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W)))) Y))))
% 16.06/16.28 (assume a5635 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) Y)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W)))) Y))))
% 16.06/16.28 (assume a5636 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex V2))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W)))) Y))))
% 16.06/16.28 (assume a5637 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger W)) Y)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W)))) Y))))
% 16.06/16.28 (assume a5638 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W)))) Y))))
% 16.06/16.28 (assume a5639 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W)))) Y))))
% 16.06/16.28 (assume a5640 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) Y)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W)))) Y))))
% 16.06/16.28 (assume a5641 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W)))) Y))))
% 16.06/16.28 (assume a5642 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger W))) Y)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W)))) Y))))
% 16.06/16.28 (assume a5643 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W)))) Y))))
% 16.06/16.28 (assume a5644 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W))) Y))))
% 16.06/16.28 (assume a5645 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) Y)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W))) Y))))
% 16.06/16.28 (assume a5646 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex V2))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W))) Y))))
% 16.06/16.28 (assume a5647 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger V2))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger W))) Y)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W))) Y))))
% 16.06/16.28 (assume a5648 (forall ((V2 tptp.num) (W tptp.num) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num V2) W))) Y))))
% 16.06/16.28 (assume a5649 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N)))))
% 16.06/16.28 (assume a5650 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N)))))
% 16.06/16.28 (assume a5651 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M2))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N)))))
% 16.06/16.28 (assume a5652 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N)))))
% 16.06/16.28 (assume a5653 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N)))))
% 16.06/16.28 (assume a5654 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.28 (assume a5655 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.28 (assume a5656 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M2))) (tptp.numera6690914467698888265omplex N)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.28 (assume a5657 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.28 (assume a5658 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.28 (assume a5659 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.28 (assume a5660 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.28 (assume a5661 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex M2)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.28 (assume a5662 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.28 (assume a5663 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N))))))
% 16.06/16.28 (assume a5664 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) M2)))))
% 16.06/16.28 (assume a5665 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) M2)))))
% 16.06/16.28 (assume a5666 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) M2)))))
% 16.06/16.28 (assume a5667 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) M2)))))
% 16.06/16.28 (assume a5668 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num N) M2)))))
% 16.06/16.28 (assume a5669 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num N) M2)))))
% 16.06/16.28 (assume a5670 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num N) M2)))))
% 16.06/16.28 (assume a5671 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num N) M2)))))
% 16.06/16.28 (assume a5672 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num (tptp.aa_num_num tptp.bit1 M2)) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.times_times_num M2) N)))))))
% 16.06/16.28 (assume a5673 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit1 M2)) (tptp.aa_num_num tptp.bit0 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)))))
% 16.06/16.28 (assume a5674 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_num tptp.bit1 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N)))))
% 16.06/16.28 (assume a5675 (forall ((M2 tptp.num)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))))) (not (= M2 tptp.one)))))
% 16.06/16.28 (assume a5676 (forall ((M2 tptp.num)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2))))) (not (= M2 tptp.one)))))
% 16.06/16.28 (assume a5677 (forall ((M2 tptp.num)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))))) (not (= M2 tptp.one)))))
% 16.06/16.28 (assume a5678 (forall ((M2 tptp.num)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))))) (not (= M2 tptp.one)))))
% 16.06/16.28 (assume a5679 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) B)))))
% 16.06/16.28 (assume a5680 (forall ((B tptp.rat) (W tptp.num) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) B)))))
% 16.06/16.28 (assume a5681 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.divide_divide_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))))))
% 16.06/16.28 (assume a5682 (forall ((A tptp.rat) (B tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))))))
% 16.06/16.28 (assume a5683 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (= A (tptp.aa_real_real (tptp.divide_divide_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) (and (=> (not (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) B)) (=> (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 16.06/16.28 (assume a5684 (forall ((A tptp.complex) (B tptp.complex) (W tptp.num)) (= (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)))) (and (=> (not (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) B)) (=> (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 16.06/16.28 (assume a5685 (forall ((A tptp.rat) (B tptp.rat) (W tptp.num)) (= (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) (and (=> (not (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) B)) (=> (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 16.06/16.28 (assume a5686 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.divide_divide_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) A) (and (=> (not (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real)) (= B (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))) (=> (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 16.06/16.28 (assume a5687 (forall ((B tptp.complex) (W tptp.num) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) A) (and (=> (not (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))))) (=> (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 16.06/16.28 (assume a5688 (forall ((B tptp.rat) (W tptp.num) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) A) (and (=> (not (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat)) (= B (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))) (=> (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 16.06/16.28 (assume a5689 (forall ((M2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (not (= M2 tptp.one)))))
% 16.06/16.28 (assume a5690 (forall ((M2 tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))) (not (= M2 tptp.one)))))
% 16.06/16.28 (assume a5691 (forall ((M2 tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))) (not (= M2 tptp.one)))))
% 16.06/16.28 (assume a5692 (forall ((M2 tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))) (not (= M2 tptp.one)))))
% 16.06/16.28 (assume a5693 (forall ((B tptp.real) (W tptp.num) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) B)))))
% 16.06/16.28 (assume a5694 (forall ((B tptp.rat) (W tptp.num) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) B)))))
% 16.06/16.28 (assume a5695 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.divide_divide_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))))))
% 16.06/16.28 (assume a5696 (forall ((A tptp.rat) (B tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))))))
% 16.06/16.28 (assume a5697 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5698 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5699 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5700 (forall ((A tptp.code_integer)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5701 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5702 (forall ((P2 tptp.bool)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat P2)))) (tptp.pp P2))))
% 16.06/16.28 (assume a5703 (forall ((P2 tptp.bool)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P2)))) (tptp.pp P2))))
% 16.06/16.28 (assume a5704 (forall ((P2 tptp.bool)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger P2)))) (tptp.pp P2))))
% 16.06/16.28 (assume a5705 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5706 (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5707 (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5708 (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5709 (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5710 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5711 (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5712 (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5713 (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5714 (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5715 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.28 (assume a5716 (= (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.28 (assume a5717 (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.28 (assume a5718 (= (tptp.minus_8373710615458151222nteger tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.28 (assume a5719 (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.28 (assume a5720 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))
% 16.06/16.28 (assume a5721 (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 16.06/16.28 (assume a5722 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 16.06/16.28 (assume a5723 (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))
% 16.06/16.28 (assume a5724 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 16.06/16.28 (assume a5725 (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))
% 16.06/16.28 (assume a5726 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a5727 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a5728 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a5729 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a5730 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a5731 (forall ((B tptp.bool)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat B)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat)))
% 16.06/16.28 (assume a5732 (forall ((B tptp.bool)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int B)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int)))
% 16.06/16.28 (assume a5733 (forall ((B tptp.bool)) (= (tptp.divide6298287555418463151nteger (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger B) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)))
% 16.06/16.28 (assume a5734 (forall ((N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.06/16.28 (assume a5735 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_nat_real (tptp.power_power_real A) N)))))
% 16.06/16.28 (assume a5736 (forall ((N tptp.nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.06/16.28 (assume a5737 (forall ((N tptp.nat) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) N) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)))))
% 16.06/16.28 (assume a5738 (forall ((N tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 16.06/16.28 (assume a5739 (forall ((N tptp.nat) (A tptp.int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 16.06/16.28 (assume a5740 (forall ((N tptp.nat) (A tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real (tptp.power_power_real A) N))))))
% 16.06/16.28 (assume a5741 (forall ((N tptp.nat) (A tptp.complex)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex (tptp.power_power_complex A) N))))))
% 16.06/16.28 (assume a5742 (forall ((N tptp.nat) (A tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N))))))
% 16.06/16.28 (assume a5743 (forall ((N tptp.nat) (A tptp.rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))
% 16.06/16.28 (assume a5744 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se1745604003318907178nteger N A))) (or (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.28 (assume a5745 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A))) (or (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.28 (assume a5746 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (or (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.28 (assume a5747 (forall ((M2 tptp.nat) (V2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M2)))) (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat V2)))))
% 16.06/16.28 (assume a5748 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) N)))))
% 16.06/16.28 (assume a5749 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.06/16.28 (assume a5750 (forall ((N tptp.num)) (= (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.06/16.28 (assume a5751 (forall ((N tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.06/16.28 (assume a5752 (forall ((N tptp.num)) (= (tptp.minus_8373710615458151222nteger tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.06/16.28 (assume a5753 (forall ((N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) N)))))
% 16.06/16.28 (assume a5754 (forall ((M2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) tptp.one))))))
% 16.06/16.28 (assume a5755 (forall ((M2 tptp.num)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) tptp.one))))))
% 16.06/16.28 (assume a5756 (forall ((M2 tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M2))) tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) tptp.one))))))
% 16.06/16.28 (assume a5757 (forall ((M2 tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)) tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) tptp.one))))))
% 16.06/16.28 (assume a5758 (forall ((M2 tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num M2) tptp.one))))))
% 16.06/16.28 (assume a5759 (forall ((M2 tptp.nat) (V2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M2)))) (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat V2)))))
% 16.06/16.28 (assume a5760 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) N)))))
% 16.06/16.28 (assume a5761 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5762 (= (tptp.aa_int_int tptp.neg_numeral_dbl_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5763 (= (tptp.aa_real_real tptp.neg_numeral_dbl_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5764 (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5765 (= (tptp.neg_nu8804712462038260780nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5766 (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.28 (assume a5767 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int)))
% 16.06/16.28 (assume a5768 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_real)))
% 16.06/16.28 (assume a5769 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_complex)))
% 16.06/16.28 (assume a5770 (forall ((N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_Code_integer)))
% 16.06/16.28 (assume a5771 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_rat)))
% 16.06/16.28 (assume a5772 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N) tptp.one_one_int))))
% 16.06/16.28 (assume a5773 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N) tptp.one_one_real))))
% 16.06/16.28 (assume a5774 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N) tptp.one_one_complex))))
% 16.06/16.28 (assume a5775 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N) tptp.one_one_Code_integer))))
% 16.06/16.28 (assume a5776 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N) tptp.one_one_rat))))
% 16.06/16.28 (assume a5777 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 16.06/16.28 (assume a5778 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 16.06/16.28 (assume a5779 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))))
% 16.06/16.28 (assume a5780 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 16.06/16.28 (assume a5781 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 16.06/16.28 (assume a5782 (forall ((A tptp.code_integer)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) A) (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5783 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5784 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5785 (forall ((A tptp.code_integer)) (= (tptp.bit_ri6519982836138164636nteger tptp.zero_zero_nat A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a5786 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int tptp.zero_zero_nat) A) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a5787 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5788 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5789 (forall ((N tptp.nat)) (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5790 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5791 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5792 (forall ((N tptp.nat)) (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a5793 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger M2 (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a5794 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a5795 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a5796 (forall ((N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger N (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5797 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5798 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a5799 (forall ((V2 tptp.num) (W tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 V2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_num_int tptp.numeral_numeral_int W)))) tptp.one_one_int))))
% 16.06/16.28 (assume a5800 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.28 (assume a5801 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.28 (assume a5802 (forall ((N tptp.nat)) (= (tptp.modulo364778990260209775nteger tptp.one_one_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.28 (assume a5803 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) tptp.one_one_int))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.06/16.28 (assume a5804 (forall ((A tptp.int) (B tptp.int)) (= (= A (tptp.aa_int_int tptp.uminus_uminus_int B)) (= B (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 16.06/16.28 (assume a5805 (forall ((A tptp.real) (B tptp.real)) (= (= A (tptp.aa_real_real tptp.uminus_uminus_real B)) (= B (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 16.06/16.28 (assume a5806 (forall ((A tptp.complex) (B tptp.complex)) (= (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (= B (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)))))
% 16.06/16.28 (assume a5807 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (= B (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 16.06/16.28 (assume a5808 (forall ((A tptp.rat) (B tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (= B (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 16.06/16.28 (assume a5809 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) B) (= (tptp.aa_int_int tptp.uminus_uminus_int B) A))))
% 16.06/16.28 (assume a5810 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) B) (= (tptp.aa_real_real tptp.uminus_uminus_real B) A))))
% 16.06/16.28 (assume a5811 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) B) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B) A))))
% 16.06/16.28 (assume a5812 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B) A))))
% 16.06/16.28 (assume a5813 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) B) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat B) A))))
% 16.06/16.28 (assume a5814 (forall ((H tptp.fun_bool_bool) (F tptp.fun_nat_fun_nat_bool) (Prod tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_bool_bool H (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) Prod))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool (tptp.aa_fun3051233943552222972t_bool (tptp.aTP_Lamm_fz H) F)) Prod)))))
% 16.06/16.28 (assume a5815 (forall ((H tptp.fun_bool_nat) (F tptp.fun_nat_fun_nat_bool) (Prod tptp.product_prod_nat_nat)) (= (tptp.aa_bool_nat H (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) Prod)) (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat (tptp.aa_fun8134142976681035223at_nat (tptp.aTP_Lamm_ga H) F)) Prod))))
% 16.06/16.28 (assume a5816 (forall ((H tptp.fun_nat_bool) (F tptp.fun_nat_fun_nat_nat) (Prod tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_nat_bool H (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat F) Prod))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool (tptp.aa_fun1421985582829848961t_bool (tptp.aTP_Lamm_gb H) F)) Prod)))))
% 16.06/16.28 (assume a5817 (forall ((H tptp.fun_nat_nat) (F tptp.fun_nat_fun_nat_nat) (Prod tptp.product_prod_nat_nat)) (= (tptp.aa_nat_nat H (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat F) Prod)) (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat (tptp.aa_fun7716529229553496594at_nat (tptp.aTP_Lamm_gc H) F)) Prod))))
% 16.06/16.28 (assume a5818 (forall ((H tptp.fun_bo6148171183121378627t_bool) (F tptp.fun_nat_fun_nat_bool) (Prod tptp.product_prod_nat_nat)) (= (tptp.aa_boo3692867584632636148t_bool H (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) Prod)) (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool (tptp.aa_fun3328218794057202080t_bool (tptp.aTP_Lamm_gd H) F)) Prod))))
% 16.06/16.28 (assume a5819 (forall ((H tptp.fun_na4827981024643048934t_bool) (F tptp.fun_nat_fun_nat_nat) (Prod tptp.product_prod_nat_nat)) (= (tptp.aa_nat4401263874371387303t_bool H (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat F) Prod)) (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool (tptp.aa_fun9209259830566968027t_bool (tptp.aTP_Lamm_ge H) F)) Prod))))
% 16.06/16.28 (assume a5820 (forall ((H tptp.fun_fu5641360819561228055l_bool) (F tptp.fun_na4786964484885125043t_bool) (Prod tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_fun8663595511526100224l_bool H (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool F) Prod))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool (tptp.aa_fun7513403936370313208t_bool (tptp.aTP_Lamm_gf H) F)) Prod)))))
% 16.06/16.28 (assume a5821 (forall ((H tptp.fun_fu4450724535874491238ol_nat) (F tptp.fun_na4786964484885125043t_bool) (Prod tptp.product_prod_nat_nat)) (= (tptp.aa_fun3448868659104709799ol_nat H (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool F) Prod)) (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat (tptp.aa_fun3048062428331337179at_nat (tptp.aTP_Lamm_gg H) F)) Prod))))
% 16.06/16.28 (assume a5822 (forall ((H tptp.fun_Pr2478283820680522243nt_int) (F tptp.fun_in1696471567231710611nt_int) (Prod tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int H (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int F) Prod)) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aa_fun4152872853588681340nt_int (tptp.aTP_Lamm_gh H) F)) Prod))))
% 16.06/16.28 (assume a5823 (forall ((H tptp.fun_bo3682073979402284333at_nat) (F tptp.fun_nat_fun_nat_bool) (Prod tptp.product_prod_nat_nat)) (= (tptp.aa_boo5791090712870310366at_nat H (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) Prod)) (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat (tptp.aa_fun8974016276556183434at_nat (tptp.aTP_Lamm_gi H) F)) Prod))))
% 16.06/16.28 (assume a5824 (forall ((X3 tptp.int) (K2 tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K2)))))))
% 16.06/16.28 (assume a5825 (forall ((X3 tptp.real) (K2 tptp.num)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K2))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K2)))))))
% 16.06/16.28 (assume a5826 (forall ((X3 tptp.complex) (K2 tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K2))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K2)))))))
% 16.06/16.28 (assume a5827 (forall ((X3 tptp.code_integer) (K2 tptp.num)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K2)))))))
% 16.06/16.28 (assume a5828 (forall ((X3 tptp.rat) (K2 tptp.num)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K2)))))))
% 16.06/16.28 (assume a5829 (forall ((N tptp.nat) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) B))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)))))
% 16.06/16.28 (assume a5830 (forall ((N tptp.nat) (A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) B))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))))
% 16.06/16.28 (assume a5831 (forall ((N tptp.nat) (A tptp.nat) (B tptp.nat) (M2 tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat M2) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat M2) B))))))
% 16.06/16.28 (assume a5832 (forall ((N tptp.nat) (A tptp.int) (B tptp.int) (M2 tptp.nat)) (=> (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M2) A) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M2) B))))))
% 16.06/16.28 (assume a5833 (forall ((M2 tptp.nat) (N tptp.nat) (Q3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat M2) Q3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) Q3))))))
% 16.06/16.28 (assume a5834 (forall ((N tptp.nat) (M2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M2)) M2))))
% 16.06/16.28 (assume a5835 (forall ((Y tptp.set_nat) (X3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat Y)) X3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat X3)) Y)))))
% 16.06/16.28 (assume a5836 (forall ((Y tptp.set_nat) (X3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Y) (tptp.uminus5710092332889474511et_nat X3))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) (tptp.uminus5710092332889474511et_nat Y))))))
% 16.06/16.28 (assume a5837 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat Y)) (tptp.uminus5710092332889474511et_nat X3))))))
% 16.06/16.28 (assume a5838 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 16.06/16.28 (assume a5839 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 16.06/16.28 (assume a5840 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 16.06/16.28 (assume a5841 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 16.06/16.28 (assume a5842 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B)) A)))))
% 16.06/16.28 (assume a5843 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) A)))))
% 16.06/16.28 (assume a5844 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) A)))))
% 16.06/16.28 (assume a5845 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int B)) A)))))
% 16.06/16.28 (assume a5846 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real tptp.uminus_uminus_real B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 16.06/16.28 (assume a5847 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 16.06/16.28 (assume a5848 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 16.06/16.28 (assume a5849 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int tptp.uminus_uminus_int B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 16.06/16.28 (assume a5850 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int tptp.uminus_uminus_int B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 16.06/16.28 (assume a5851 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real tptp.uminus_uminus_real B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 16.06/16.28 (assume a5852 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 16.06/16.28 (assume a5853 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 16.06/16.28 (assume a5854 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int B)) A)))))
% 16.06/16.28 (assume a5855 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B)) A)))))
% 16.06/16.28 (assume a5856 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) A)))))
% 16.06/16.28 (assume a5857 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) A)))))
% 16.06/16.28 (assume a5858 (forall ((X2 tptp.num) (X32 tptp.num)) (not (= (tptp.aa_num_num tptp.bit0 X2) (tptp.aa_num_num tptp.bit1 X32)))))
% 16.06/16.28 (assume a5859 (forall ((X32 tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit1 X32)))))
% 16.06/16.28 (assume a5860 (forall ((M2 tptp.num) (N tptp.num)) (not (= (tptp.aa_num_int tptp.numeral_numeral_int M2) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.06/16.28 (assume a5861 (forall ((M2 tptp.num) (N tptp.num)) (not (= (tptp.aa_num_real tptp.numeral_numeral_real M2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))))))
% 16.06/16.28 (assume a5862 (forall ((M2 tptp.num) (N tptp.num)) (not (= (tptp.numera6690914467698888265omplex M2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))))))
% 16.06/16.28 (assume a5863 (forall ((M2 tptp.num) (N tptp.num)) (not (= (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))))))
% 16.06/16.28 (assume a5864 (forall ((M2 tptp.num) (N tptp.num)) (not (= (tptp.aa_num_rat tptp.numeral_numeral_rat M2) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))))))
% 16.06/16.28 (assume a5865 (forall ((M2 tptp.num) (N tptp.num)) (not (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.28 (assume a5866 (forall ((M2 tptp.num) (N tptp.num)) (not (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 16.06/16.28 (assume a5867 (forall ((M2 tptp.num) (N tptp.num)) (not (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M2)) (tptp.numera6690914467698888265omplex N)))))
% 16.06/16.28 (assume a5868 (forall ((M2 tptp.num) (N tptp.num)) (not (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)))))
% 16.06/16.28 (assume a5869 (forall ((M2 tptp.num) (N tptp.num)) (not (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 16.06/16.28 (assume a5870 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 16.06/16.28 (assume a5871 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 16.06/16.28 (assume a5872 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)))))
% 16.06/16.28 (assume a5873 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger A B)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 16.06/16.28 (assume a5874 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 16.06/16.28 (assume a5875 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int B)) (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 16.06/16.28 (assume a5876 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 16.06/16.28 (assume a5877 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)))))
% 16.06/16.28 (assume a5878 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger A B)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 16.06/16.28 (assume a5879 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 16.06/16.28 (assume a5880 (forall ((A4 tptp.int) (K2 tptp.int) (A tptp.int)) (=> (= A4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) A)) (= (tptp.aa_int_int tptp.uminus_uminus_int A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int K2)) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 16.06/16.28 (assume a5881 (forall ((A4 tptp.real) (K2 tptp.real) (A tptp.real)) (=> (= A4 (tptp.aa_real_real (tptp.plus_plus_real K2) A)) (= (tptp.aa_real_real tptp.uminus_uminus_real A4) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real K2)) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 16.06/16.28 (assume a5882 (forall ((A4 tptp.complex) (K2 tptp.complex) (A tptp.complex)) (=> (= A4 (tptp.aa_complex_complex (tptp.plus_plus_complex K2) A)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A4) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex K2)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A))))))
% 16.06/16.28 (assume a5883 (forall ((A4 tptp.code_integer) (K2 tptp.code_integer) (A tptp.code_integer)) (=> (= A4 (tptp.plus_p5714425477246183910nteger K2 A)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A4) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger K2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 16.06/16.28 (assume a5884 (forall ((A4 tptp.rat) (K2 tptp.rat) (A tptp.rat)) (=> (= A4 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K2) A)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat K2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 16.06/16.28 (assume a5885 (forall ((B tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int B)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B))))
% 16.06/16.28 (assume a5886 (forall ((B tptp.real) (A tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real B)) A) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B))))
% 16.06/16.28 (assume a5887 (forall ((B tptp.complex) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) A) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B))))
% 16.06/16.28 (assume a5888 (forall ((B tptp.code_integer) (A tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B) A) (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B))))
% 16.06/16.28 (assume a5889 (forall ((B tptp.rat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B))))
% 16.06/16.28 (assume a5890 (forall ((F tptp.fun_nat_fun_nat_bool) (X1 tptp.nat) (X2 tptp.nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X1) X2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool F X1) X2)))))
% 16.06/16.28 (assume a5891 (forall ((F tptp.fun_nat_fun_nat_nat) (X1 tptp.nat) (X2 tptp.nat)) (= (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X1) X2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F X1) X2))))
% 16.06/16.28 (assume a5892 (forall ((F tptp.fun_na1668100129766719005at_nat) (X1 tptp.nat) (X2 tptp.nat)) (= (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X1) X2)) (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat F X1) X2))))
% 16.06/16.28 (assume a5893 (forall ((F tptp.fun_na4786964484885125043t_bool) (X1 tptp.nat) (X2 tptp.nat)) (= (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X1) X2)) (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool F X1) X2))))
% 16.06/16.28 (assume a5894 (forall ((F tptp.fun_in1696471567231710611nt_int) (X1 tptp.int) (X2 tptp.int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int F) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X1) X2)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int F X1) X2))))
% 16.06/16.28 (assume a5895 (forall ((Q tptp.fun_bool_bool) (P tptp.fun_nat_fun_nat_bool) (Z tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_bool_bool Q (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool P) Z))) (not (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (= Z (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3)) (not (tptp.pp (tptp.aa_bool_bool Q (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P X5) Y3))))))))))
% 16.06/16.28 (assume a5896 (forall ((Q tptp.fun_nat_bool) (P tptp.fun_nat_fun_nat_nat) (Z tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool Q (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat P) Z))) (not (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (= Z (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3)) (not (tptp.pp (tptp.aa_nat_bool Q (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat P X5) Y3))))))))))
% 16.06/16.28 (assume a5897 (forall ((Q tptp.fun_fu7919257609373989805t_bool) (P tptp.fun_na1668100129766719005at_nat) (Z tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_fun4519828053337421206t_bool Q (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat P) Z))) (not (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (= Z (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3)) (not (tptp.pp (tptp.aa_fun4519828053337421206t_bool Q (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat P X5) Y3))))))))))
% 16.06/16.28 (assume a5898 (forall ((Q tptp.fun_fu5641360819561228055l_bool) (P tptp.fun_na4786964484885125043t_bool) (Z tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_fun8663595511526100224l_bool Q (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool P) Z))) (not (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (= Z (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3)) (not (tptp.pp (tptp.aa_fun8663595511526100224l_bool Q (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool P X5) Y3))))))))))
% 16.06/16.28 (assume a5899 (forall ((Q tptp.fun_Pr803113274115125473t_bool) (P tptp.fun_in1696471567231710611nt_int) (Z tptp.product_prod_int_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool Q (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int P) Z))) (not (forall ((X5 tptp.int) (Y3 tptp.int)) (=> (= Z (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X5) Y3)) (not (tptp.pp (tptp.aa_Pro4501881432599481050t_bool Q (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int P X5) Y3))))))))))
% 16.06/16.28 (assume a5900 (forall ((F tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_gj F)) F)))
% 16.06/16.28 (assume a5901 (forall ((F tptp.fun_Pr2602117396471556196at_nat)) (= (tptp.produc6842872674320459806at_nat (tptp.aTP_Lamm_gk F)) F)))
% 16.06/16.28 (assume a5902 (forall ((F tptp.fun_Pr2477239776880934807at_nat)) (= (tptp.produc4528391901023682385at_nat (tptp.aTP_Lamm_gl F)) F)))
% 16.06/16.28 (assume a5903 (forall ((F tptp.fun_Pr248683899324676269t_bool)) (= (tptp.produc5023667602222594023t_bool (tptp.aTP_Lamm_gm F)) F)))
% 16.06/16.28 (assume a5904 (forall ((F tptp.fun_Pr2478283820680522243nt_int)) (= (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_gn F)) F)))
% 16.06/16.28 (assume a5905 (forall ((F tptp.fun_nat_fun_nat_bool) (G tptp.fun_Pr7757163693017731481t_bool)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool F X5) Y3)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool G (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3))))) (= (tptp.produc8955392012077580105t_bool F) G))))
% 16.06/16.28 (assume a5906 (forall ((F tptp.fun_nat_fun_nat_nat) (G tptp.fun_Pr2602117396471556196at_nat)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F X5) Y3) (tptp.aa_Pro4243173770044397973at_nat G (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3)))) (= (tptp.produc6842872674320459806at_nat F) G))))
% 16.06/16.28 (assume a5907 (forall ((F tptp.fun_na1668100129766719005at_nat) (G tptp.fun_Pr2477239776880934807at_nat)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat F X5) Y3) (tptp.aa_Pro8023792847356852296at_nat G (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3)))) (= (tptp.produc4528391901023682385at_nat F) G))))
% 16.06/16.28 (assume a5908 (forall ((F tptp.fun_na4786964484885125043t_bool) (G tptp.fun_Pr248683899324676269t_bool)) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool F X5) Y3) (tptp.aa_Pro595088089689268830t_bool G (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3)))) (= (tptp.produc5023667602222594023t_bool F) G))))
% 16.06/16.28 (assume a5909 (forall ((F tptp.fun_in1696471567231710611nt_int) (G tptp.fun_Pr2478283820680522243nt_int)) (=> (forall ((X5 tptp.int) (Y3 tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int F X5) Y3) (tptp.aa_Pro6970504127699319548nt_int G (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X5) Y3)))) (= (tptp.produc4245557441103728435nt_int F) G))))
% 16.06/16.28 (assume a5910 (forall ((P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (= (tptp.collect_complex (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_go P) Q)) (tptp.sup_sup_set_complex (tptp.uminus8566677241136511917omplex (tptp.collect_complex P)) (tptp.collect_complex Q)))))
% 16.06/16.28 (assume a5911 (forall ((P tptp.fun_Pr7757163693017731481t_bool) (Q tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.collec3392354462482085612at_nat (tptp.aa_fun830836278467416944t_bool (tptp.aTP_Lamm_gp P) Q)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.uminus6524753893492686040at_nat (tptp.collec3392354462482085612at_nat P))) (tptp.collec3392354462482085612at_nat Q)))))
% 16.06/16.28 (assume a5912 (forall ((P tptp.fun_set_nat_bool) (Q tptp.fun_set_nat_bool)) (= (tptp.collect_set_nat (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_gq P) Q)) (tptp.sup_sup_set_set_nat (tptp.uminus613421341184616069et_nat (tptp.collect_set_nat P)) (tptp.collect_set_nat Q)))))
% 16.06/16.28 (assume a5913 (forall ((P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (= (tptp.collect_list_nat (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_gr P) Q)) (tptp.sup_sup_set_list_nat (tptp.uminus3195874150345416415st_nat (tptp.collect_list_nat P)) (tptp.collect_list_nat Q)))))
% 16.06/16.28 (assume a5914 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (= (tptp.collect_nat (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_gs P) Q)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.uminus5710092332889474511et_nat (tptp.collect_nat P))) (tptp.collect_nat Q)))))
% 16.06/16.28 (assume a5915 (forall ((P tptp.fun_Pr1607443439640623155t_bool) (Q tptp.fun_Pr1607443439640623155t_bool)) (= (tptp.collec6321179662152712658at_nat (tptp.aa_fun5022828243006652836t_bool (tptp.aTP_Lamm_gt P) Q)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.uminus935396558254630718at_nat (tptp.collec6321179662152712658at_nat P))) (tptp.collec6321179662152712658at_nat Q)))))
% 16.06/16.28 (assume a5916 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real tptp.zero_n3304061248610475627l_real P)))))
% 16.06/16.28 (assume a5917 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat tptp.zero_n2052037380579107095ol_rat P)))))
% 16.06/16.28 (assume a5918 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat P)))))
% 16.06/16.28 (assume a5919 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)))))
% 16.06/16.28 (assume a5920 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger P)))))
% 16.06/16.28 (assume a5921 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_bool_real tptp.zero_n3304061248610475627l_real P)) tptp.one_one_real))))
% 16.06/16.28 (assume a5922 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_bool_rat tptp.zero_n2052037380579107095ol_rat P)) tptp.one_one_rat))))
% 16.06/16.28 (assume a5923 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat P)) tptp.one_one_nat))))
% 16.06/16.28 (assume a5924 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) tptp.one_one_int))))
% 16.06/16.28 (assume a5925 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger P)) tptp.one_one_Code_integer))))
% 16.06/16.28 (assume a5926 (forall ((M2 tptp.nat) (N tptp.nat) (K2 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M2) K2)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2))))))
% 16.06/16.28 (assume a5927 (forall ((N tptp.nat) (A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) B)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) B)))))
% 16.06/16.28 (assume a5928 (forall ((M2 tptp.nat) (N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int M2) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)) (tptp.aa_int_int (tptp.if_fun_int_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2) (tptp.bit_se2923211474154528505it_int N) (tptp.bit_ri631733984087533419it_int M2)) A))))
% 16.06/16.28 (assume a5929 (forall ((M2 tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)))))))
% 16.06/16.28 (assume a5930 (forall ((M2 tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)))))))
% 16.06/16.28 (assume a5931 (forall ((M2 tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))))
% 16.06/16.28 (assume a5932 (forall ((M2 tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.06/16.28 (assume a5933 (forall ((M2 tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 16.06/16.28 (assume a5934 (forall ((M2 tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)))))
% 16.06/16.28 (assume a5935 (forall ((M2 tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 16.06/16.28 (assume a5936 (forall ((M2 tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.28 (assume a5937 (forall ((N tptp.num)) (not (= tptp.zero_zero_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.06/16.28 (assume a5938 (forall ((N tptp.num)) (not (= tptp.zero_zero_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))))))
% 16.06/16.28 (assume a5939 (forall ((N tptp.num)) (not (= tptp.zero_zero_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))))))
% 16.06/16.28 (assume a5940 (forall ((N tptp.num)) (not (= tptp.zero_z3403309356797280102nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))))))
% 16.06/16.28 (assume a5941 (forall ((N tptp.num)) (not (= tptp.zero_zero_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))))))
% 16.06/16.28 (assume a5942 (forall ((M2 tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.28 (assume a5943 (forall ((M2 tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 16.06/16.28 (assume a5944 (forall ((M2 tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)))))
% 16.06/16.28 (assume a5945 (forall ((M2 tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 16.06/16.28 (assume a5946 (forall ((M2 tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.06/16.28 (assume a5947 (forall ((M2 tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)))))))
% 16.06/16.28 (assume a5948 (forall ((M2 tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)))))))
% 16.06/16.28 (assume a5949 (forall ((M2 tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))))
% 16.06/16.28 (assume a5950 (forall ((Y tptp.num)) (=> (not (= Y tptp.one)) (=> (forall ((X22 tptp.num)) (not (= Y (tptp.aa_num_num tptp.bit0 X22)))) (not (forall ((X33 tptp.num)) (not (= Y (tptp.aa_num_num tptp.bit1 X33)))))))))
% 16.06/16.28 (assume a5951 (forall ((X3 tptp.product_prod_num_num)) (=> (not (= X3 (tptp.product_Pair_num_num tptp.one tptp.one))) (=> (forall ((N2 tptp.num)) (not (= X3 (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit0 N2))))) (=> (forall ((N2 tptp.num)) (not (= X3 (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit1 N2))))) (=> (forall ((M tptp.num)) (not (= X3 (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M) tptp.one)))) (=> (forall ((M tptp.num) (N2 tptp.num)) (not (= X3 (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 N2))))) (=> (forall ((M tptp.num) (N2 tptp.num)) (not (= X3 (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N2))))) (=> (forall ((M tptp.num)) (not (= X3 (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M) tptp.one)))) (=> (forall ((M tptp.num) (N2 tptp.num)) (not (= X3 (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 N2))))) (not (forall ((M tptp.num) (N2 tptp.num)) (not (= X3 (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N2))))))))))))))))
% 16.06/16.28 (assume a5952 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real)))
% 16.06/16.28 (assume a5953 (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer)))
% 16.06/16.28 (assume a5954 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.one_one_rat)))
% 16.06/16.28 (assume a5955 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int)))
% 16.06/16.28 (assume a5956 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 16.06/16.28 (assume a5957 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 16.06/16.28 (assume a5958 (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 16.06/16.28 (assume a5959 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 16.06/16.28 (assume a5960 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) tptp.zero_zero_int) (= B (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 16.06/16.28 (assume a5961 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real (tptp.plus_plus_real A) B) tptp.zero_zero_real) (= B (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 16.06/16.28 (assume a5962 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) tptp.zero_zero_complex) (= B (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)))))
% 16.06/16.28 (assume a5963 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.plus_p5714425477246183910nteger A B) tptp.zero_z3403309356797280102nteger) (= B (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 16.06/16.28 (assume a5964 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B) tptp.zero_zero_rat) (= B (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 16.06/16.28 (assume a5965 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) A) tptp.zero_zero_int)))
% 16.06/16.28 (assume a5966 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) A) tptp.zero_zero_real)))
% 16.06/16.28 (assume a5967 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) A) tptp.zero_zero_complex)))
% 16.06/16.28 (assume a5968 (forall ((A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) A) tptp.zero_z3403309356797280102nteger)))
% 16.06/16.28 (assume a5969 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A) tptp.zero_zero_rat)))
% 16.06/16.28 (assume a5970 (forall ((A tptp.int) (B tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) tptp.zero_zero_int) (= (tptp.aa_int_int tptp.uminus_uminus_int A) B))))
% 16.06/16.28 (assume a5971 (forall ((A tptp.real) (B tptp.real)) (=> (= (tptp.aa_real_real (tptp.plus_plus_real A) B) tptp.zero_zero_real) (= (tptp.aa_real_real tptp.uminus_uminus_real A) B))))
% 16.06/16.28 (assume a5972 (forall ((A tptp.complex) (B tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) tptp.zero_zero_complex) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) B))))
% 16.06/16.28 (assume a5973 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (= (tptp.plus_p5714425477246183910nteger A B) tptp.zero_z3403309356797280102nteger) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B))))
% 16.06/16.28 (assume a5974 (forall ((A tptp.rat) (B tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B) tptp.zero_zero_rat) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) B))))
% 16.06/16.28 (assume a5975 (forall ((A tptp.int) (B tptp.int)) (= (= A (tptp.aa_int_int tptp.uminus_uminus_int B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) tptp.zero_zero_int))))
% 16.06/16.28 (assume a5976 (forall ((A tptp.real) (B tptp.real)) (= (= A (tptp.aa_real_real tptp.uminus_uminus_real B)) (= (tptp.aa_real_real (tptp.plus_plus_real A) B) tptp.zero_zero_real))))
% 16.06/16.28 (assume a5977 (forall ((A tptp.complex) (B tptp.complex)) (= (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) tptp.zero_zero_complex))))
% 16.06/16.28 (assume a5978 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) (= (tptp.plus_p5714425477246183910nteger A B) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a5979 (forall ((A tptp.rat) (B tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B) tptp.zero_zero_rat))))
% 16.06/16.28 (assume a5980 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) B) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) tptp.zero_zero_int))))
% 16.06/16.28 (assume a5981 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) B) (= (tptp.aa_real_real (tptp.plus_plus_real A) B) tptp.zero_zero_real))))
% 16.06/16.28 (assume a5982 (forall ((A tptp.complex) (B tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) B) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B) tptp.zero_zero_complex))))
% 16.06/16.28 (assume a5983 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B) (= (tptp.plus_p5714425477246183910nteger A B) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a5984 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) B) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B) tptp.zero_zero_rat))))
% 16.06/16.28 (assume a5985 (forall ((W tptp.num) (X3 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int W)) (tptp.aa_int_int tptp.uminus_uminus_int X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))))))
% 16.06/16.28 (assume a5986 (forall ((W tptp.num) (X3 tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real tptp.uminus_uminus_real X3)) (tptp.aa_real_real (tptp.times_times_real X3) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))))
% 16.06/16.28 (assume a5987 (forall ((W tptp.num) (X3 tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X3)) (tptp.aa_complex_complex (tptp.times_times_complex X3) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))))))
% 16.06/16.28 (assume a5988 (forall ((W tptp.num) (X3 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger W)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger X3)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger X3) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger W))))))
% 16.06/16.28 (assume a5989 (forall ((W tptp.num) (X3 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) (tptp.aa_rat_rat tptp.uminus_uminus_rat X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X3) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))))
% 16.06/16.28 (assume a5990 (forall ((N tptp.num)) (not (= (tptp.aa_num_int tptp.numeral_numeral_int N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 16.06/16.28 (assume a5991 (forall ((N tptp.num)) (not (= (tptp.aa_num_real tptp.numeral_numeral_real N) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 16.06/16.28 (assume a5992 (forall ((N tptp.num)) (not (= (tptp.numera6690914467698888265omplex N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))))
% 16.06/16.28 (assume a5993 (forall ((N tptp.num)) (not (= (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 16.06/16.28 (assume a5994 (forall ((N tptp.num)) (not (= (tptp.aa_num_rat tptp.numeral_numeral_rat N) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 16.06/16.28 (assume a5995 (forall ((N tptp.num)) (not (= tptp.one_one_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.06/16.28 (assume a5996 (forall ((N tptp.num)) (not (= tptp.one_one_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))))))
% 16.06/16.28 (assume a5997 (forall ((N tptp.num)) (not (= tptp.one_one_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))))))
% 16.06/16.28 (assume a5998 (forall ((N tptp.num)) (not (= tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))))))
% 16.06/16.28 (assume a5999 (forall ((N tptp.num)) (not (= tptp.one_one_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))))))
% 16.06/16.28 (assume a6000 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B)))))
% 16.06/16.28 (assume a6001 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real A) B) (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)))))
% 16.06/16.28 (assume a6002 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) B) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)))))
% 16.06/16.28 (assume a6003 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A B) (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)))))
% 16.06/16.28 (assume a6004 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))
% 16.06/16.28 (assume a6005 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B)))))
% 16.06/16.28 (assume a6006 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real A) B) (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B)))))
% 16.06/16.28 (assume a6007 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) B) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)))))
% 16.06/16.28 (assume a6008 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A B) (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)))))
% 16.06/16.28 (assume a6009 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))
% 16.06/16.28 (assume a6010 (forall ((B4 tptp.int) (K2 tptp.int) (B tptp.int) (A tptp.int)) (=> (= B4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) B)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))))))
% 16.06/16.28 (assume a6011 (forall ((B4 tptp.real) (K2 tptp.real) (B tptp.real) (A tptp.real)) (=> (= B4 (tptp.aa_real_real (tptp.plus_plus_real K2) B)) (= (tptp.aa_real_real (tptp.minus_minus_real A) B4) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real K2)) (tptp.aa_real_real (tptp.minus_minus_real A) B))))))
% 16.06/16.28 (assume a6012 (forall ((B4 tptp.complex) (K2 tptp.complex) (B tptp.complex) (A tptp.complex)) (=> (= B4 (tptp.aa_complex_complex (tptp.plus_plus_complex K2) B)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) B4) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex K2)) (tptp.aa_complex_complex (tptp.minus_minus_complex A) B))))))
% 16.06/16.28 (assume a6013 (forall ((B4 tptp.code_integer) (K2 tptp.code_integer) (B tptp.code_integer) (A tptp.code_integer)) (=> (= B4 (tptp.plus_p5714425477246183910nteger K2 B)) (= (tptp.minus_8373710615458151222nteger A B4) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger K2) (tptp.minus_8373710615458151222nteger A B))))))
% 16.06/16.28 (assume a6014 (forall ((B4 tptp.rat) (K2 tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (= B4 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K2) B)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B))))))
% 16.06/16.28 (assume a6015 (forall ((N tptp.nat) (M2 tptp.nat) (A tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat M2) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat M2) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A)))))))
% 16.06/16.28 (assume a6016 (forall ((N tptp.nat) (M2 tptp.nat) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se4203085406695923979it_int M2) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se4203085406695923979it_int M2) A)) (tptp.aa_int_int (tptp.bit_se4203085406695923979it_int M2) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)))))))
% 16.06/16.28 (assume a6017 (forall ((N tptp.nat) (M2 tptp.nat) (A tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat M2) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat M2) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A)))))))
% 16.06/16.28 (assume a6018 (forall ((N tptp.nat) (M2 tptp.nat) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se7879613467334960850it_int M2) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se7879613467334960850it_int M2) A)) (tptp.aa_int_int (tptp.bit_se7879613467334960850it_int M2) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)))))))
% 16.06/16.28 (assume a6019 (forall ((N tptp.nat) (M2 tptp.nat) (A tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat M2) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat M2) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A)))))))
% 16.06/16.28 (assume a6020 (forall ((N tptp.nat) (M2 tptp.nat) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int M2) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int M2) A)) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int M2) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)))))))
% 16.06/16.28 (assume a6021 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.uminus6524753893492686040at_nat X3)) A)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) B)) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.28 (assume a6022 (forall ((X3 tptp.set_bool) (A tptp.set_bool) (B tptp.set_bool)) (= (tptp.inf_inf_set_bool (tptp.inf_inf_set_bool (tptp.uminus5166143097222041326t_bool X3) A) (tptp.inf_inf_set_bool X3 B)) tptp.bot_bot_set_bool)))
% 16.06/16.28 (assume a6023 (forall ((X3 tptp.set_nat) (A tptp.set_nat) (B tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.uminus5710092332889474511et_nat X3)) A)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) B)) tptp.bot_bot_set_nat)))
% 16.06/16.28 (assume a6024 (forall ((X3 tptp.set_int) (A tptp.set_int) (B tptp.set_int)) (= (tptp.inf_inf_set_int (tptp.inf_inf_set_int (tptp.uminus1532241313380277803et_int X3) A) (tptp.inf_inf_set_int X3 B)) tptp.bot_bot_set_int)))
% 16.06/16.28 (assume a6025 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) A)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.uminus6524753893492686040at_nat X3)) B)) tptp.bot_bo2099793752762293965at_nat)))
% 16.06/16.28 (assume a6026 (forall ((X3 tptp.set_bool) (A tptp.set_bool) (B tptp.set_bool)) (= (tptp.inf_inf_set_bool (tptp.inf_inf_set_bool X3 A) (tptp.inf_inf_set_bool (tptp.uminus5166143097222041326t_bool X3) B)) tptp.bot_bot_set_bool)))
% 16.06/16.28 (assume a6027 (forall ((X3 tptp.set_nat) (A tptp.set_nat) (B tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) A)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.uminus5710092332889474511et_nat X3)) B)) tptp.bot_bot_set_nat)))
% 16.06/16.28 (assume a6028 (forall ((X3 tptp.set_int) (A tptp.set_int) (B tptp.set_int)) (= (tptp.inf_inf_set_int (tptp.inf_inf_set_int X3 A) (tptp.inf_inf_set_int (tptp.uminus1532241313380277803et_int X3) B)) tptp.bot_bot_set_int)))
% 16.06/16.28 (assume a6029 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) (tptp.uminus6524753893492686040at_nat A4))) (= A4 tptp.bot_bo2099793752762293965at_nat))))
% 16.06/16.28 (assume a6030 (forall ((A4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) (tptp.uminus5166143097222041326t_bool A4))) (= A4 tptp.bot_bot_set_bool))))
% 16.06/16.28 (assume a6031 (forall ((A4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) (tptp.uminus1532241313380277803et_int A4))) (= A4 tptp.bot_bot_set_int))))
% 16.06/16.28 (assume a6032 (forall ((A4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.uminus5710092332889474511et_nat A4))) (= A4 tptp.bot_bot_set_nat))))
% 16.06/16.28 (assume a6033 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.uminus6524753893492686040at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.uminus6524753893492686040at_nat A4)) (tptp.uminus6524753893492686040at_nat B4)))))
% 16.06/16.28 (assume a6034 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.uminus5710092332889474511et_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.uminus5710092332889474511et_nat A4)) (tptp.uminus5710092332889474511et_nat B4)))))
% 16.06/16.28 (assume a6035 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.uminus935396558254630718at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.uminus935396558254630718at_nat A4)) (tptp.uminus935396558254630718at_nat B4)))))
% 16.06/16.28 (assume a6036 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.uminus6524753893492686040at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) B4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat (tptp.uminus6524753893492686040at_nat A4)) (tptp.uminus6524753893492686040at_nat B4)))))
% 16.06/16.28 (assume a6037 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.uminus5710092332889474511et_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.uminus5710092332889474511et_nat A4)) (tptp.uminus5710092332889474511et_nat B4)))))
% 16.06/16.28 (assume a6038 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.uminus935396558254630718at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat (tptp.uminus935396558254630718at_nat A4)) (tptp.uminus935396558254630718at_nat B4)))))
% 16.06/16.28 (assume a6039 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) (tptp.uminus6524753893492686040at_nat B4)))))
% 16.06/16.28 (assume a6040 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.uminus5710092332889474511et_nat B4)))))
% 16.06/16.28 (assume a6041 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a6042 (forall ((M2 tptp.nat) (N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M2) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M2) A)))))
% 16.06/16.28 (assume a6043 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)))))))
% 16.06/16.28 (assume a6044 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)))))))
% 16.06/16.28 (assume a6045 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))))
% 16.06/16.28 (assume a6046 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.06/16.28 (assume a6047 (forall ((N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) tptp.zero_zero_real))))
% 16.06/16.28 (assume a6048 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a6049 (forall ((N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) tptp.zero_zero_rat))))
% 16.06/16.28 (assume a6050 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.zero_zero_int))))
% 16.06/16.28 (assume a6051 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.zero_zero_int))))
% 16.06/16.28 (assume a6052 (forall ((N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) tptp.zero_zero_real))))
% 16.06/16.28 (assume a6053 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a6054 (forall ((N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) tptp.zero_zero_rat))))
% 16.06/16.28 (assume a6055 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.06/16.28 (assume a6056 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)))))))
% 16.06/16.28 (assume a6057 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)))))))
% 16.06/16.28 (assume a6058 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))))
% 16.06/16.28 (assume a6059 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.zero_zero_real)))
% 16.06/16.28 (assume a6060 (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger)))
% 16.06/16.28 (assume a6061 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.zero_zero_rat)))
% 16.06/16.28 (assume a6062 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int)))
% 16.06/16.28 (assume a6063 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 16.06/16.28 (assume a6064 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 16.06/16.28 (assume a6065 (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 16.06/16.28 (assume a6066 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 16.06/16.28 (assume a6067 (forall ((N tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex N))) tptp.one_one_complex))))
% 16.06/16.28 (assume a6068 (forall ((N tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real N))) tptp.one_one_real))))
% 16.06/16.28 (assume a6069 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) tptp.one_one_rat))))
% 16.06/16.28 (assume a6070 (forall ((N tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) tptp.one_one_nat))))
% 16.06/16.28 (assume a6071 (forall ((N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.one_one_int))))
% 16.06/16.28 (assume a6072 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2)))))))
% 16.06/16.28 (assume a6073 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)))))))
% 16.06/16.28 (assume a6074 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)))))))
% 16.06/16.28 (assume a6075 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)))))))
% 16.06/16.28 (assume a6076 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 16.06/16.28 (assume a6077 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 16.06/16.28 (assume a6078 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))
% 16.06/16.28 (assume a6079 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 16.06/16.28 (assume a6080 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 16.06/16.28 (assume a6081 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 16.06/16.28 (assume a6082 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 16.06/16.28 (assume a6083 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 16.06/16.28 (assume a6084 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real M2)))))
% 16.06/16.28 (assume a6085 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)))))
% 16.06/16.28 (assume a6086 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_num_rat tptp.numeral_numeral_rat M2)))))
% 16.06/16.28 (assume a6087 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int M2)))))
% 16.06/16.28 (assume a6088 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) tptp.one_one_real))))
% 16.06/16.28 (assume a6089 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2))) tptp.one_one_Code_integer))))
% 16.06/16.28 (assume a6090 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) tptp.one_one_rat))))
% 16.06/16.28 (assume a6091 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) tptp.one_one_int))))
% 16.06/16.28 (assume a6092 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) tptp.one_one_int))))
% 16.06/16.28 (assume a6093 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) tptp.one_one_real))))
% 16.06/16.28 (assume a6094 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2))) tptp.one_one_Code_integer))))
% 16.06/16.28 (assume a6095 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) tptp.one_one_rat))))
% 16.06/16.28 (assume a6096 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int M2)))))
% 16.06/16.28 (assume a6097 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real M2)))))
% 16.06/16.28 (assume a6098 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)))))
% 16.06/16.28 (assume a6099 (forall ((M2 tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_num_rat tptp.numeral_numeral_rat M2)))))
% 16.06/16.28 (assume a6100 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 16.06/16.28 (assume a6101 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 16.06/16.28 (assume a6102 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 16.06/16.28 (assume a6103 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))
% 16.06/16.28 (assume a6104 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)))))))
% 16.06/16.28 (assume a6105 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2)))))))
% 16.06/16.28 (assume a6106 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)))))))
% 16.06/16.28 (assume a6107 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)))))))
% 16.06/16.28 (assume a6108 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)))))))
% 16.06/16.28 (assume a6109 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2)))))))
% 16.06/16.28 (assume a6110 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)))))))
% 16.06/16.28 (assume a6111 (forall ((M2 tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)))))))
% 16.06/16.28 (assume a6112 (forall ((B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one))) B) (tptp.aa_int_int tptp.uminus_uminus_int B))))
% 16.06/16.28 (assume a6113 (forall ((B tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real tptp.one))) B) (tptp.aa_real_real tptp.uminus_uminus_real B))))
% 16.06/16.28 (assume a6114 (forall ((B tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex tptp.one))) B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B))))
% 16.06/16.28 (assume a6115 (forall ((B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger tptp.one))) B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B))))
% 16.06/16.28 (assume a6116 (forall ((B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one))) B) (tptp.aa_rat_rat tptp.uminus_uminus_rat B))))
% 16.06/16.28 (assume a6117 (forall ((B tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one))) (tptp.aa_int_int tptp.uminus_uminus_int B))))
% 16.06/16.28 (assume a6118 (forall ((B tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real B) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real tptp.one))) (tptp.aa_real_real tptp.uminus_uminus_real B))))
% 16.06/16.28 (assume a6119 (forall ((B tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex tptp.one))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B))))
% 16.06/16.28 (assume a6120 (forall ((B tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger tptp.one))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B))))
% 16.06/16.28 (assume a6121 (forall ((B tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one))) (tptp.aa_rat_rat tptp.uminus_uminus_rat B))))
% 16.06/16.28 (assume a6122 (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))
% 16.06/16.28 (assume a6123 (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real tptp.one)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 16.06/16.28 (assume a6124 (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex tptp.one)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 16.06/16.28 (assume a6125 (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger tptp.one)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 16.06/16.28 (assume a6126 (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))
% 16.06/16.28 (assume a6127 (forall ((N tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))))))
% 16.06/16.28 (assume a6128 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.06/16.28 (assume a6129 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_nat_real (tptp.power_power_real A) N)))))
% 16.06/16.28 (assume a6130 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 16.06/16.28 (assume a6131 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) N) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)))))
% 16.06/16.28 (assume a6132 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 16.06/16.28 (assume a6133 (forall ((M2 tptp.num) (Q3 tptp.num) (N tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3)))))))
% 16.06/16.28 (assume a6134 (forall ((M2 tptp.num) (Q3 tptp.num) (N tptp.num)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3)))))))
% 16.06/16.28 (assume a6135 (forall ((M2 tptp.num) (Q3 tptp.num) (N tptp.num)) (not (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3))) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3)))))))
% 16.06/16.28 (assume a6136 (forall ((M2 tptp.num) (Q3 tptp.num) (N tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3)))))))
% 16.06/16.28 (assume a6137 (forall ((M2 tptp.num) (Q3 tptp.num) (N tptp.num)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3)))))))
% 16.06/16.28 (assume a6138 (forall ((M2 tptp.num) (Q3 tptp.num) (N tptp.num)) (not (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 M2)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3))) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3)))))))
% 16.06/16.28 (assume a6139 (forall ((M2 tptp.num) (Q3 tptp.num) (N tptp.num)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q3))))))
% 16.06/16.28 (assume a6140 (forall ((M2 tptp.num) (Q3 tptp.num) (N tptp.num)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int Q3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int Q3))))))
% 16.06/16.28 (assume a6141 (forall ((M2 tptp.num) (Q3 tptp.num) (N tptp.num)) (= (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 M2)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3))) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3)))) (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger Q3)) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger Q3))))))
% 16.06/16.28 (assume a6142 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Y) tptp.bot_bo2099793752762293965at_nat) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) (tptp.uminus6524753893492686040at_nat Y))))))
% 16.06/16.28 (assume a6143 (forall ((X3 tptp.set_bool) (Y tptp.set_bool)) (= (= (tptp.inf_inf_set_bool X3 Y) tptp.bot_bot_set_bool) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool X3) (tptp.uminus5166143097222041326t_bool Y))))))
% 16.06/16.28 (assume a6144 (forall ((X3 tptp.set_int) (Y tptp.set_int)) (= (= (tptp.inf_inf_set_int X3 Y) tptp.bot_bot_set_int) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int X3) (tptp.uminus1532241313380277803et_int Y))))))
% 16.06/16.28 (assume a6145 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Y) tptp.bot_bot_set_nat) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) (tptp.uminus5710092332889474511et_nat Y))))))
% 16.06/16.28 (assume a6146 (forall ((X3 tptp.int) (K2 tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2))) (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2))))))
% 16.06/16.28 (assume a6147 (forall ((X3 tptp.real) (K2 tptp.num)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2))) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2))))))
% 16.06/16.28 (assume a6148 (forall ((X3 tptp.complex) (K2 tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2))) (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2))))))
% 16.06/16.28 (assume a6149 (forall ((X3 tptp.code_integer) (K2 tptp.num)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2))))))
% 16.06/16.28 (assume a6150 (forall ((X3 tptp.rat) (K2 tptp.num)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2))) (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2))))))
% 16.06/16.28 (assume a6151 (forall ((P2 tptp.set_Pr1261947904930325089at_nat) (Q3 tptp.set_Pr1261947904930325089at_nat) (R2 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat P2) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat Q3) R2))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat P2) (tptp.uminus6524753893492686040at_nat Q3))) R2)))))
% 16.06/16.28 (assume a6152 (forall ((P2 tptp.set_Pr4329608150637261639at_nat) (Q3 tptp.set_Pr4329608150637261639at_nat) (R2 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat P2) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat Q3) R2))) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat P2) (tptp.uminus935396558254630718at_nat Q3))) R2)))))
% 16.06/16.28 (assume a6153 (forall ((P2 tptp.set_nat) (Q3 tptp.set_nat) (R2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat P2) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat Q3) R2))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat P2) (tptp.uminus5710092332889474511et_nat Q3))) R2)))))
% 16.06/16.28 (assume a6154 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat) (Z tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) (tptp.uminus6524753893492686040at_nat Y))) Z)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat Y) Z))))))
% 16.06/16.28 (assume a6155 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat) (Z tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat X3) (tptp.uminus935396558254630718at_nat Y))) Z)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat Y) Z))))))
% 16.06/16.28 (assume a6156 (forall ((X3 tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) (tptp.uminus5710092332889474511et_nat Y))) Z)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat Y) Z))))))
% 16.06/16.28 (assume a6157 (forall ((X3 tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat) (Z tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat X3) Y)) Z)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat X3) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat (tptp.uminus6524753893492686040at_nat Y)) Z))))))
% 16.06/16.28 (assume a6158 (forall ((X3 tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat) (Z tptp.set_Pr4329608150637261639at_nat)) (= (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat X3) Y)) Z)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.ord_le1268244103169919719at_nat X3) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.uminus935396558254630718at_nat Y)) Z))))))
% 16.06/16.28 (assume a6159 (forall ((X3 tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat X3) Y)) Z)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.uminus5710092332889474511et_nat Y)) Z))))))
% 16.06/16.28 (assume a6160 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat K2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat))))
% 16.06/16.28 (assume a6161 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.06/16.28 (assume a6162 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (= (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4) tptp.bot_bo2099793752762293965at_nat) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) (tptp.uminus6524753893492686040at_nat B4))))))
% 16.06/16.28 (assume a6163 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool)) (= (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool) (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) (tptp.uminus5166143097222041326t_bool B4))))))
% 16.06/16.28 (assume a6164 (forall ((A4 tptp.set_int) (B4 tptp.set_int)) (= (= (tptp.inf_inf_set_int A4 B4) tptp.bot_bot_set_int) (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) (tptp.uminus1532241313380277803et_int B4))))))
% 16.06/16.28 (assume a6165 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat)) (= (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) tptp.bot_bot_set_nat) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.uminus5710092332889474511et_nat B4))))))
% 16.06/16.28 (assume a6166 (forall ((X3 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (tptp.uminus935396558254630718at_nat (tptp.insert9069300056098147895at_nat X3 A4)) (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat (tptp.uminus935396558254630718at_nat A4)) (tptp.insert9069300056098147895at_nat X3 tptp.bot_bo228742789529271731at_nat)))))
% 16.06/16.28 (assume a6167 (forall ((X3 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.uminus6524753893492686040at_nat (tptp.insert8211810215607154385at_nat X3 A4)) (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat (tptp.uminus6524753893492686040at_nat A4)) (tptp.insert8211810215607154385at_nat X3 tptp.bot_bo2099793752762293965at_nat)))))
% 16.06/16.28 (assume a6168 (forall ((X3 tptp.bool) (A4 tptp.set_bool)) (= (tptp.uminus5166143097222041326t_bool (tptp.insert_bool X3 A4)) (tptp.minus_minus_set_bool (tptp.uminus5166143097222041326t_bool A4) (tptp.insert_bool X3 tptp.bot_bot_set_bool)))))
% 16.06/16.28 (assume a6169 (forall ((X3 tptp.int) (A4 tptp.set_int)) (= (tptp.uminus1532241313380277803et_int (tptp.insert_int X3 A4)) (tptp.minus_minus_set_int (tptp.uminus1532241313380277803et_int A4) (tptp.insert_int X3 tptp.bot_bot_set_int)))))
% 16.06/16.28 (assume a6170 (forall ((X3 tptp.nat) (A4 tptp.set_nat)) (= (tptp.uminus5710092332889474511et_nat (tptp.insert_nat X3 A4)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.uminus5710092332889474511et_nat A4)) (tptp.insert_nat X3 tptp.bot_bot_set_nat)))))
% 16.06/16.28 (assume a6171 (forall ((N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_Code_integer))))
% 16.06/16.28 (assume a6172 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_int))))
% 16.06/16.28 (assume a6173 (forall ((K2 tptp.num)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_num_nat tptp.numeral_numeral_nat K2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) tptp.one_one_Code_integer))))
% 16.06/16.28 (assume a6174 (forall ((K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat K2))) tptp.one_one_int))))
% 16.06/16.28 (assume a6175 (forall ((N tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex N))) tptp.one_one_complex))))
% 16.06/16.28 (assume a6176 (forall ((N tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real N))) tptp.one_one_real))))
% 16.06/16.28 (assume a6177 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) tptp.one_one_rat))))
% 16.06/16.28 (assume a6178 (forall ((N tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) tptp.one_one_nat))))
% 16.06/16.28 (assume a6179 (forall ((N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.one_one_int))))
% 16.06/16.28 (assume a6180 (forall ((Z tptp.complex) (W tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.28 (assume a6181 (forall ((Z tptp.real) (W tptp.num)) (= (tptp.aa_nat_real (tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real Z) (tptp.aa_nat_real (tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_real (tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.28 (assume a6182 (forall ((Z tptp.rat) (W tptp.num)) (= (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.28 (assume a6183 (forall ((Z tptp.nat) (W tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.28 (assume a6184 (forall ((Z tptp.int) (W tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.28 (assume a6185 (forall ((K2 tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K2))))))
% 16.06/16.28 (assume a6186 (forall ((N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))
% 16.06/16.28 (assume a6187 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 16.06/16.28 (assume a6188 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real (tptp.divide_divide_real B) C)) (and (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C) B)) (=> (= C tptp.zero_zero_real) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real))))))
% 16.06/16.28 (assume a6189 (forall ((W tptp.num) (B tptp.complex) (C tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C)) (and (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) C) B)) (=> (= C tptp.zero_zero_complex) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex))))))
% 16.06/16.28 (assume a6190 (forall ((W tptp.num) (B tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)) (and (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C) B)) (=> (= C tptp.zero_zero_rat) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat))))))
% 16.06/16.28 (assume a6191 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (= (tptp.aa_real_real (tptp.divide_divide_real B) C) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (and (=> (not (= C tptp.zero_zero_real)) (= B (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C))) (=> (= C tptp.zero_zero_real) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real))))))
% 16.06/16.28 (assume a6192 (forall ((B tptp.complex) (C tptp.complex) (W tptp.num)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B) C) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) (and (=> (not (= C tptp.zero_zero_complex)) (= B (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) C))) (=> (= C tptp.zero_zero_complex) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex))))))
% 16.06/16.28 (assume a6193 (forall ((B tptp.rat) (C tptp.rat) (W tptp.num)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (and (=> (not (= C tptp.zero_zero_rat)) (= B (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C))) (=> (= C tptp.zero_zero_rat) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat))))))
% 16.06/16.28 (assume a6194 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)))))))
% 16.06/16.28 (assume a6195 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N)))))))
% 16.06/16.28 (assume a6196 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))))))
% 16.06/16.28 (assume a6197 (forall ((N tptp.num) (Q3 tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3))) tptp.zero_zero_nat))))
% 16.06/16.28 (assume a6198 (forall ((N tptp.num) (Q3 tptp.num)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3))) tptp.zero_zero_int))))
% 16.06/16.28 (assume a6199 (forall ((N tptp.num) (Q3 tptp.num)) (not (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3))) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a6200 (forall ((Z tptp.real) (A tptp.real) (B tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real A) Z))) B) B)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real A) Z))) B) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real (tptp.times_times_real B) Z))) Z))))))
% 16.06/16.28 (assume a6201 (forall ((Z tptp.complex) (A tptp.complex) (B tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z))) B) B)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z))) B) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex (tptp.times_times_complex B) Z))) Z))))))
% 16.06/16.28 (assume a6202 (forall ((Z tptp.rat) (A tptp.rat) (B tptp.rat)) (and (=> (= Z tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) Z))) B) B)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) Z))) B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B) Z))) Z))))))
% 16.06/16.28 (assume a6203 (forall ((Z tptp.real) (X3 tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real X3) Z))) Y) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real X3)) (tptp.aa_real_real (tptp.times_times_real Y) Z))) Z)))))
% 16.06/16.28 (assume a6204 (forall ((Z tptp.complex) (X3 tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X3) Z))) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X3)) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 16.06/16.28 (assume a6205 (forall ((Z tptp.rat) (X3 tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat X3) Z))) Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z))) Z)))))
% 16.06/16.28 (assume a6206 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex A) A)) A))))
% 16.06/16.28 (assume a6207 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real A) A)) A))))
% 16.06/16.28 (assume a6208 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) A)) A))))
% 16.06/16.28 (assume a6209 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) A)) A))))
% 16.06/16.28 (assume a6210 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) A)) A))))
% 16.06/16.28 (assume a6211 (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a6212 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.06/16.28 (assume a6213 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 16.06/16.28 (assume a6214 (forall ((X3 tptp.int) (Y tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X3 Y) (= X3 (tptp.aa_int_int tptp.uminus_uminus_int Y))))))
% 16.06/16.28 (assume a6215 (forall ((X3 tptp.real) (Y tptp.real)) (= (= (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X3 Y) (= X3 (tptp.aa_real_real tptp.uminus_uminus_real Y))))))
% 16.06/16.28 (assume a6216 (forall ((X3 tptp.complex) (Y tptp.complex)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X3 Y) (= X3 (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Y))))))
% 16.06/16.28 (assume a6217 (forall ((X3 tptp.code_integer) (Y tptp.code_integer)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X3 Y) (= X3 (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Y))))))
% 16.06/16.28 (assume a6218 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X3 Y) (= X3 (tptp.aa_rat_rat tptp.uminus_uminus_rat Y))))))
% 16.06/16.28 (assume a6219 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) N))))
% 16.06/16.28 (assume a6220 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat K2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a6221 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a6222 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se1745604003318907178nteger N A) (tptp.modulo364778990260209775nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6223 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6224 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6225 (forall ((N tptp.nat) (M2 tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M2) M2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.28 (assume a6226 (forall ((N tptp.nat) (M2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6227 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M2) M2))))
% 16.06/16.28 (assume a6228 (forall ((X32 tptp.num)) (= (tptp.aa_num_nat tptp.size_size_num (tptp.aa_num_num tptp.bit1 X32)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.size_size_num X32)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.28 (assume a6229 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6230 (forall ((A tptp.nat)) (= (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a6231 (forall ((A tptp.int)) (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a6232 (forall ((A tptp.code_integer)) (= (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a6233 (forall ((N tptp.nat) (K2 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6234 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real B) C))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real (tptp.times_times_real A) C)))))))
% 16.06/16.28 (assume a6235 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))))
% 16.06/16.28 (assume a6236 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real B) C)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real tptp.uminus_uminus_real B)))))))
% 16.06/16.28 (assume a6237 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))))
% 16.06/16.28 (assume a6238 (forall ((C tptp.real) (B tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real B) C))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real tptp.uminus_uminus_real B)))))))
% 16.06/16.28 (assume a6239 (forall ((C tptp.rat) (B tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))))
% 16.06/16.28 (assume a6240 (forall ((C tptp.real) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real B) C)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real (tptp.times_times_real A) C)))))))
% 16.06/16.28 (assume a6241 (forall ((C tptp.rat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))))
% 16.06/16.28 (assume a6242 (forall ((B tptp.real) (C tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real B) C))) A)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real (tptp.times_times_real A) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real tptp.uminus_uminus_real B)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))))))
% 16.06/16.28 (assume a6243 (forall ((B tptp.rat) (C tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C))) A)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))))))
% 16.06/16.28 (assume a6244 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real B) C)))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real A) C)) (tptp.aa_real_real tptp.uminus_uminus_real B)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real (tptp.times_times_real A) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))))))
% 16.06/16.28 (assume a6245 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))))))
% 16.06/16.28 (assume a6246 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real B) C)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)) B))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))))))))))
% 16.06/16.28 (assume a6247 (forall ((B tptp.rat) (C tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)) B))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))))))))))
% 16.06/16.28 (assume a6248 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real (tptp.divide_divide_real B) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)) B))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) tptp.zero_zero_real)))))))))
% 16.06/16.28 (assume a6249 (forall ((W tptp.num) (B tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)) B))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) tptp.zero_zero_rat)))))))))
% 16.06/16.28 (assume a6250 (forall ((N tptp.nat) (K2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6251 (forall ((Q3 tptp.num) (N tptp.num)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q3)) tptp.zero_zero_nat))))
% 16.06/16.28 (assume a6252 (forall ((Q3 tptp.num) (N tptp.num)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int Q3)) tptp.zero_zero_int))))
% 16.06/16.28 (assume a6253 (forall ((Q3 tptp.num) (N tptp.num)) (= (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger tptp.one) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3))) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3)))) (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger Q3)) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a6254 (forall ((M2 tptp.num) (Q3 tptp.num)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q3)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q3)) tptp.zero_zero_nat))))
% 16.06/16.28 (assume a6255 (forall ((M2 tptp.num) (Q3 tptp.num)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q3)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int Q3)) tptp.zero_zero_int))))
% 16.06/16.28 (assume a6256 (forall ((M2 tptp.num) (Q3 tptp.num)) (= (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 M2)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3))) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger tptp.one) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q3)))) (= (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger Q3)) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a6257 (forall ((A tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int) (or (= A tptp.one_one_int) (= A (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 16.06/16.28 (assume a6258 (forall ((A tptp.real)) (= (= (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_real) (or (= A tptp.one_one_real) (= A (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 16.06/16.28 (assume a6259 (forall ((A tptp.complex)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_complex) (or (= A tptp.one_one_complex) (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))))
% 16.06/16.28 (assume a6260 (forall ((A tptp.code_integer)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer) (or (= A tptp.one_one_Code_integer) (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 16.06/16.28 (assume a6261 (forall ((A tptp.rat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_rat) (or (= A tptp.one_one_rat) (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))
% 16.06/16.28 (assume a6262 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M2)))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) M2)) N))))
% 16.06/16.28 (assume a6263 (forall ((N tptp.nat) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_nat_int (tptp.power_power_int A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 16.06/16.28 (assume a6264 (forall ((N tptp.nat) (A tptp.real)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_nat_real (tptp.power_power_real A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real (tptp.power_power_real A) N)))))))
% 16.06/16.28 (assume a6265 (forall ((N tptp.nat) (A tptp.complex)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_nat_complex (tptp.power_power_complex A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))))
% 16.06/16.28 (assume a6266 (forall ((N tptp.nat) (A tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) N) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)))))))
% 16.06/16.28 (assume a6267 (forall ((N tptp.nat) (A tptp.rat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 16.06/16.28 (assume a6268 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M2)))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) M2)) N))))
% 16.06/16.28 (assume a6269 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K2)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))))))
% 16.06/16.28 (assume a6270 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K2)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))))))
% 16.06/16.28 (assume a6271 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K2)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))))))
% 16.06/16.28 (assume a6272 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K2)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))))))
% 16.06/16.28 (assume a6273 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K2)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))))))
% 16.06/16.28 (assume a6274 (forall ((U tptp.real) (X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real (tptp.power_power_real U) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a6275 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real X3)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) X3))))))))
% 16.06/16.28 (assume a6276 (forall ((N tptp.nat) (A tptp.code_integer)) (= (= (tptp.bit_se1745604003318907178nteger N A) tptp.zero_z3403309356797280102nteger) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) A)))))
% 16.06/16.28 (assume a6277 (forall ((N tptp.nat) (A tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) A)))))
% 16.06/16.28 (assume a6278 (forall ((N tptp.nat) (A tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) A)))))
% 16.06/16.28 (assume a6279 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M2)) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) M2)))))
% 16.06/16.28 (assume a6280 (forall ((A tptp.int) (B tptp.int) (Q3 tptp.int) (R2 tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int A B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2))) (=> (not (= B tptp.zero_zero_int)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int (tptp.aa_int_int tptp.uminus_uminus_int A) B) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int R2) tptp.zero_zero_int)) (tptp.aa_int_int tptp.uminus_uminus_int Q3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int Q3)) tptp.one_one_int))) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int R2) tptp.zero_zero_int)) tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) R2)))))))))
% 16.06/16.28 (assume a6281 (forall ((P tptp.fun_nat_bool) (A tptp.nat)) (=> (forall ((A3 tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A3) (tptp.pp (tptp.aa_nat_bool P A3)))) (=> (forall ((A3 tptp.nat) (B3 tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool P A3)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat B3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A3) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat B3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A3))))))) (tptp.pp (tptp.aa_nat_bool P A))))))
% 16.06/16.28 (assume a6282 (forall ((P tptp.fun_int_bool) (A tptp.int)) (=> (forall ((A3 tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A3) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A3) (tptp.pp (tptp.aa_int_bool P A3)))) (=> (forall ((A3 tptp.int) (B3 tptp.bool)) (=> (tptp.pp (tptp.aa_int_bool P A3)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int B3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A3))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A3) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int B3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A3))))))) (tptp.pp (tptp.aa_int_bool P A))))))
% 16.06/16.28 (assume a6283 (forall ((P tptp.fun_Co8822979462182099027r_bool) (A tptp.code_integer)) (=> (forall ((A3 tptp.code_integer)) (=> (= (tptp.divide6298287555418463151nteger A3 (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A3) (tptp.pp (tptp.aa_Code_integer_bool P A3)))) (=> (forall ((A3 tptp.code_integer) (B3 tptp.bool)) (=> (tptp.pp (tptp.aa_Code_integer_bool P A3)) (=> (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger B3) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A3)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A3) (tptp.pp (tptp.aa_Code_integer_bool P (tptp.plus_p5714425477246183910nteger (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger B3) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A3))))))) (tptp.pp (tptp.aa_Code_integer_bool P A))))))
% 16.06/16.28 (assume a6284 (forall ((K2 tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K2) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.28 (assume a6285 (forall ((N tptp.nat) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2)) K2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K2)))))
% 16.06/16.28 (assume a6286 (forall ((B tptp.real) (C tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real B) C)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)) B))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))))))))))
% 16.06/16.28 (assume a6287 (forall ((B tptp.rat) (C tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)) B))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))))))))))
% 16.06/16.28 (assume a6288 (forall ((W tptp.num) (B tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real (tptp.divide_divide_real B) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)) B))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) tptp.zero_zero_real)))))))))
% 16.06/16.28 (assume a6289 (forall ((W tptp.num) (B tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat B) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)) B))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) tptp.zero_zero_rat)))))))))
% 16.06/16.28 (assume a6290 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))))
% 16.06/16.28 (assume a6291 (forall ((X3 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) X3)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger X3) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_Code_integer))))))
% 16.06/16.28 (assume a6292 (forall ((X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_rat))))))
% 16.06/16.28 (assume a6293 (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) X3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))))
% 16.06/16.28 (assume a6294 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6295 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N)) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6296 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N)) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6297 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6298 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N)) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6299 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N) tptp.one_one_int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 16.06/16.28 (assume a6300 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N) tptp.one_one_real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 16.06/16.28 (assume a6301 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N) tptp.one_one_complex)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))))
% 16.06/16.28 (assume a6302 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N) tptp.one_one_Code_integer)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 16.06/16.28 (assume a6303 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N) tptp.one_one_rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))
% 16.06/16.28 (assume a6304 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 16.06/16.28 (assume a6305 (forall ((N tptp.nat) (K2 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K2)))))
% 16.06/16.28 (assume a6306 (forall ((N tptp.nat) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K2)) K2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) K2)))))
% 16.06/16.28 (assume a6307 (forall ((K2 tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.06/16.28 (assume a6308 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)))))
% 16.06/16.28 (assume a6309 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2)))))
% 16.06/16.28 (assume a6310 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.modulo364778990260209775nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M2) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M2)))))
% 16.06/16.28 (assume a6311 (forall ((N tptp.nat) (K2 tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2) K2) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.06/16.28 (assume a6312 (forall ((K2 tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2) K2)))))
% 16.06/16.28 (assume a6313 (forall ((N tptp.nat) (K2 tptp.int)) (=> (not (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2))))))
% 16.06/16.28 (assume a6314 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 16.06/16.28 (assume a6315 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))
% 16.06/16.28 (assume a6316 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))
% 16.06/16.28 (assume a6317 (forall ((N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 16.06/16.28 (assume a6318 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))
% 16.06/16.28 (assume a6319 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.bit_se1745604003318907178nteger N (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a6320 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a6321 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.28 (assume a6322 (forall ((P tptp.fun_int_bool) (K2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (=> (forall ((K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P K)) (=> (not (= K tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (=> (forall ((K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P K)) (=> (not (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (tptp.pp (tptp.aa_int_bool P K2))))))))
% 16.06/16.28 (assume a6323 (forall ((N tptp.nat) (K2 tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K2) K2) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) K2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.06/16.28 (assume a6324 (forall ((N tptp.nat) (K2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) K2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K2) K2)))))
% 16.06/16.28 (assume a6325 (forall ((N tptp.nat) (K2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.06/16.28 (assume a6326 (forall ((K2 tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2))))))
% 16.06/16.28 (assume a6327 (forall ((N tptp.nat) (K2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.28 (assume a6328 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (= (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.bit_se1745604003318907178nteger N A) tptp.zero_z3403309356797280102nteger)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.bit_se1745604003318907178nteger N A) (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_Code_integer)))))))
% 16.06/16.28 (assume a6329 (forall ((A tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) tptp.zero_zero_nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat)))))))
% 16.06/16.28 (assume a6330 (forall ((A tptp.int) (N tptp.nat)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) tptp.zero_zero_int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int)))))))
% 16.06/16.28 (assume a6331 (forall ((L tptp.num) (Qr tptp.product_prod_nat_nat)) (= (tptp.unique5026877609467782581ep_nat L Qr) (tptp.aa_Pro262675715343573244at_nat (tptp.produc2626176000494625587at_nat (tptp.aTP_Lamm_fw L)) Qr))))
% 16.06/16.28 (assume a6332 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real X3) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) X3))))))))
% 16.06/16.28 (assume a6333 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) tptp.zero_zero_nat))) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N))))))
% 16.06/16.28 (assume a6334 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) tptp.zero_zero_int))) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N))))))
% 16.06/16.28 (assume a6335 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.divide6298287555418463151nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M2) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) tptp.zero_z3403309356797280102nteger))) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N))))))
% 16.06/16.28 (assume a6336 (forall ((L tptp.num) (Qr tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.unique5024387138958732305ep_int L) Qr) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_fx L)) Qr))))
% 16.06/16.28 (assume a6337 (forall ((N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.28 (assume a6338 (forall ((K2 tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K2))))))
% 16.06/16.28 (assume a6339 (forall ((M2 tptp.nat)) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))))))
% 16.06/16.28 (assume a6340 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 16.06/16.28 (assume a6341 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int tptp.aTP_Lamm_gu) (tptp.unique5052692396658037445od_int M2 N)))))
% 16.06/16.28 (assume a6342 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_Pro262675715343573244at_nat (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_gv) (tptp.unique5055182867167087721od_nat M2 N)))))
% 16.06/16.28 (assume a6343 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit0 N)) (tptp.produc6916734918728496179nteger tptp.aTP_Lamm_gw (tptp.unique3479559517661332726nteger M2 N)))))
% 16.06/16.28 (assume a6344 (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 16.06/16.28 (assume a6345 (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 16.06/16.28 (assume a6346 (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 16.06/16.28 (assume a6347 (= (tptp.neg_nu7757733837767384882nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 16.06/16.28 (assume a6348 (= (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 16.06/16.28 (assume a6349 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N)) (= (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M2))))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N))) (= (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.unique5026877609467782581ep_nat (tptp.aa_num_num tptp.bit1 N) (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 N)))))))))
% 16.06/16.28 (assume a6350 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N)) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2))))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N))) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_Pro6970504127699319548nt_int (tptp.unique5024387138958732305ep_int (tptp.aa_num_num tptp.bit1 N)) (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 N)))))))))
% 16.06/16.28 (assume a6351 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N)) (= (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 M2))))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M2) N))) (= (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.unique4921790084139445826nteger (tptp.aa_num_num tptp.bit1 N) (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 N)))))))))
% 16.06/16.28 (assume a6352 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)) (= (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M2))))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N))) (= (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.unique5026877609467782581ep_nat (tptp.aa_num_num tptp.bit1 N) (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 N)))))))))
% 16.06/16.28 (assume a6353 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M2))))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N))) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_Pro6970504127699319548nt_int (tptp.unique5024387138958732305ep_int (tptp.aa_num_num tptp.bit1 N)) (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 N)))))))))
% 16.06/16.28 (assume a6354 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)) (= (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 M2))))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N))) (= (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.unique4921790084139445826nteger (tptp.aa_num_num tptp.bit1 N) (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 N)))))))))
% 16.06/16.28 (assume a6355 (forall ((L tptp.num) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) tptp.one_one_int))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.06/16.28 (assume a6356 (forall ((C tptp.complex) (A4 tptp.set_complex)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.uminus8566677241136511917omplex A4))))))
% 16.06/16.28 (assume a6357 (forall ((C tptp.real) (A4 tptp.set_real)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.uminus612125837232591019t_real A4))))))
% 16.06/16.28 (assume a6358 (forall ((C tptp.bool) (A4 tptp.set_bool)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.uminus5166143097222041326t_bool A4))))))
% 16.06/16.28 (assume a6359 (forall ((C tptp.nat) (A4 tptp.set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.uminus5710092332889474511et_nat A4))))))
% 16.06/16.28 (assume a6360 (forall ((C tptp.int) (A4 tptp.set_int)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.uminus1532241313380277803et_int A4))))))
% 16.06/16.28 (assume a6361 (forall ((C tptp.complex) (A4 tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.uminus8566677241136511917omplex A4))) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4))))))
% 16.06/16.28 (assume a6362 (forall ((C tptp.real) (A4 tptp.set_real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.uminus612125837232591019t_real A4))) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4))))))
% 16.06/16.28 (assume a6363 (forall ((C tptp.bool) (A4 tptp.set_bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.uminus5166143097222041326t_bool A4))) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4))))))
% 16.06/16.28 (assume a6364 (forall ((C tptp.nat) (A4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.uminus5710092332889474511et_nat A4))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4))))))
% 16.06/16.28 (assume a6365 (forall ((C tptp.int) (A4 tptp.set_int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.uminus1532241313380277803et_int A4))) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4))))))
% 16.06/16.28 (assume a6366 (forall ((P2 tptp.produc3843707927480180839at_nat) (C tptp.fun_se1534075524646452397t_bool)) (=> (forall ((A3 tptp.set_Pr1261947904930325089at_nat) (B3 tptp.set_Pr1261947904930325089at_nat)) (=> (= P2 (tptp.produc2922128104949294807at_nat A3 B3)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool C A3) B3)))) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.produc4641332057840980011t_bool C) P2)))))
% 16.06/16.28 (assume a6367 (forall ((P2 tptp.product_prod_num_num) (C tptp.fun_num_fun_num_bool)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num A3 B3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool C A3) B3)))) (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.produc8237051459014760373m_bool C) P2)))))
% 16.06/16.28 (assume a6368 (forall ((P2 tptp.product_prod_nat_num) (C tptp.fun_nat_fun_num_bool)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num A3 B3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_nat_fun_num_bool C A3) B3)))) (tptp.pp (tptp.aa_Pro5426739851356932296m_bool (tptp.produc3677492636715751295m_bool C) P2)))))
% 16.06/16.28 (assume a6369 (forall ((P2 tptp.product_prod_int_int) (C tptp.fun_int_fun_int_bool)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (= P2 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A3) B3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool C A3) B3)))) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool C) P2)))))
% 16.06/16.28 (assume a6370 (forall ((P2 tptp.product_prod_nat_nat) (C tptp.fun_nat_fun_nat_bool)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= P2 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A3) B3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool C A3) B3)))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool C) P2)))))
% 16.06/16.28 (assume a6371 (forall ((F tptp.fun_se1534075524646452397t_bool) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool F A) B)) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.produc4641332057840980011t_bool F) (tptp.produc2922128104949294807at_nat A B))))))
% 16.06/16.28 (assume a6372 (forall ((F tptp.fun_num_fun_num_bool) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool F A) B)) (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.produc8237051459014760373m_bool F) (tptp.product_Pair_num_num A B))))))
% 16.06/16.28 (assume a6373 (forall ((F tptp.fun_nat_fun_num_bool) (A tptp.nat) (B tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_nat_fun_num_bool F A) B)) (tptp.pp (tptp.aa_Pro5426739851356932296m_bool (tptp.produc3677492636715751295m_bool F) (tptp.product_Pair_nat_num A B))))))
% 16.06/16.28 (assume a6374 (forall ((F tptp.fun_int_fun_int_bool) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool F A) B)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool F) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B))))))
% 16.06/16.28 (assume a6375 (forall ((F tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool F A) B)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B))))))
% 16.06/16.28 (assume a6376 (forall ((P2 tptp.product_prod_num_num) (Z tptp.complex) (C tptp.fun_nu9041852840018610706omplex)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num A3 B3)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.aa_num_set_complex (tptp.aa_num241437687621652691omplex C A3) B3))))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.produc2866383454006189126omplex C P2))))))
% 16.06/16.28 (assume a6377 (forall ((P2 tptp.product_prod_num_num) (Z tptp.real) (C tptp.fun_nu4698968662094489488t_real)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num A3 B3)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_num_set_real (tptp.aa_num2469771427700027217t_real C A3) B3))))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc8296048397933160132t_real C P2))))))
% 16.06/16.28 (assume a6378 (forall ((P2 tptp.product_prod_num_num) (Z tptp.bool) (C tptp.fun_nu7299076251450613493t_bool)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num A3 B3)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Z) (tptp.aa_num_set_bool (tptp.aa_num3345375174343775326t_bool C A3) B3))))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Z) (tptp.produc5172587336680252053t_bool C P2))))))
% 16.06/16.28 (assume a6379 (forall ((P2 tptp.product_prod_num_num) (Z tptp.nat) (C tptp.fun_nu530747996811530292et_nat)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num A3 B3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_num_set_nat (tptp.aa_num5617506412915843061et_nat C A3) B3))))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc1361121860356118632et_nat C P2))))))
% 16.06/16.28 (assume a6380 (forall ((P2 tptp.product_prod_num_num) (Z tptp.int) (C tptp.fun_nu4940571614878387344et_int)) (=> (forall ((A3 tptp.num) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num A3 B3)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.aa_num_set_int (tptp.aa_num3127423267984116305et_int C A3) B3))))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.produc6406642877701697732et_int C P2))))))
% 16.06/16.28 (assume a6381 (forall ((P2 tptp.product_prod_nat_num) (Z tptp.complex) (C tptp.fun_na3925014923085203400omplex)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num A3 B3)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.aa_num_set_complex (tptp.aa_nat4347971807543021193omplex C A3) B3))))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.produc6231982587499038204omplex C P2))))))
% 16.06/16.28 (assume a6382 (forall ((P2 tptp.product_prod_nat_num) (Z tptp.real) (C tptp.fun_na3666575854997362246t_real)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num A3 B3)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_num_set_real (tptp.aa_nat1437378620602899975t_real C A3) B3))))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc1435849484188172666t_real C P2))))))
% 16.06/16.28 (assume a6383 (forall ((P2 tptp.product_prod_nat_num) (Z tptp.bool) (C tptp.fun_na7380188056088765119t_bool)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num A3 B3)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Z) (tptp.aa_num_set_bool (tptp.aa_nat3426486978981926952t_bool C A3) B3))))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Z) (tptp.produc5131145674798987871t_bool C P2))))))
% 16.06/16.28 (assume a6384 (forall ((P2 tptp.product_prod_nat_num) (Z tptp.nat) (C tptp.fun_na3896347130304379370et_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num A3 B3)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_num_set_nat (tptp.aa_nat8983105546408692139et_nat C A3) B3))))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc4130284055270567454et_nat C P2))))))
% 16.06/16.28 (assume a6385 (forall ((P2 tptp.product_prod_nat_num) (Z tptp.int) (C tptp.fun_na8306170748371236422et_int)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num A3 B3)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.aa_num_set_int (tptp.aa_nat6493022401476965383et_int C A3) B3))))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.produc9175805072616146554et_int C P2))))))
% 16.06/16.28 (assume a6386 (forall ((Z tptp.complex) (C tptp.fun_nu9041852840018610706omplex) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.aa_num_set_complex (tptp.aa_num241437687621652691omplex C A) B))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.produc2866383454006189126omplex C (tptp.product_Pair_num_num A B)))))))
% 16.06/16.28 (assume a6387 (forall ((Z tptp.real) (C tptp.fun_nu4698968662094489488t_real) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_num_set_real (tptp.aa_num2469771427700027217t_real C A) B))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc8296048397933160132t_real C (tptp.product_Pair_num_num A B)))))))
% 16.06/16.28 (assume a6388 (forall ((Z tptp.bool) (C tptp.fun_nu7299076251450613493t_bool) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Z) (tptp.aa_num_set_bool (tptp.aa_num3345375174343775326t_bool C A) B))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Z) (tptp.produc5172587336680252053t_bool C (tptp.product_Pair_num_num A B)))))))
% 16.06/16.28 (assume a6389 (forall ((Z tptp.nat) (C tptp.fun_nu530747996811530292et_nat) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_num_set_nat (tptp.aa_num5617506412915843061et_nat C A) B))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc1361121860356118632et_nat C (tptp.product_Pair_num_num A B)))))))
% 16.06/16.28 (assume a6390 (forall ((Z tptp.int) (C tptp.fun_nu4940571614878387344et_int) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.aa_num_set_int (tptp.aa_num3127423267984116305et_int C A) B))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.produc6406642877701697732et_int C (tptp.product_Pair_num_num A B)))))))
% 16.06/16.28 (assume a6391 (forall ((Z tptp.complex) (C tptp.fun_na3925014923085203400omplex) (A tptp.nat) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.aa_num_set_complex (tptp.aa_nat4347971807543021193omplex C A) B))) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.produc6231982587499038204omplex C (tptp.product_Pair_nat_num A B)))))))
% 16.06/16.28 (assume a6392 (forall ((Z tptp.real) (C tptp.fun_na3666575854997362246t_real) (A tptp.nat) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_num_set_real (tptp.aa_nat1437378620602899975t_real C A) B))) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc1435849484188172666t_real C (tptp.product_Pair_nat_num A B)))))))
% 16.06/16.28 (assume a6393 (forall ((Z tptp.bool) (C tptp.fun_na7380188056088765119t_bool) (A tptp.nat) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Z) (tptp.aa_num_set_bool (tptp.aa_nat3426486978981926952t_bool C A) B))) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Z) (tptp.produc5131145674798987871t_bool C (tptp.product_Pair_nat_num A B)))))))
% 16.06/16.28 (assume a6394 (forall ((Z tptp.nat) (C tptp.fun_na3896347130304379370et_nat) (A tptp.nat) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_num_set_nat (tptp.aa_nat8983105546408692139et_nat C A) B))) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc4130284055270567454et_nat C (tptp.product_Pair_nat_num A B)))))))
% 16.06/16.28 (assume a6395 (forall ((Z tptp.int) (C tptp.fun_na8306170748371236422et_int) (A tptp.nat) (B tptp.num)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.aa_num_set_int (tptp.aa_nat6493022401476965383et_int C A) B))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.produc9175805072616146554et_int C (tptp.product_Pair_nat_num A B)))))))
% 16.06/16.28 (assume a6396 (forall ((P2 tptp.product_prod_nat_nat) (C tptp.fun_na4786964484885125043t_bool) (X3 tptp.product_prod_nat_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A3) B3) P2) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool C A3) B3) X3)))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool C) P2) X3)))))
% 16.06/16.28 (assume a6397 (= (tptp.aa_num_nat tptp.pred_numeral tptp.one) tptp.zero_zero_nat))
% 16.06/16.28 (assume a6398 (forall ((K2 tptp.num) (N tptp.nat)) (= (= (tptp.aa_num_nat tptp.numeral_numeral_nat K2) (tptp.aa_nat_nat tptp.suc N)) (= (tptp.aa_num_nat tptp.pred_numeral K2) N))))
% 16.06/16.28 (assume a6399 (forall ((N tptp.nat) (K2 tptp.num)) (= (= (tptp.aa_nat_nat tptp.suc N) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (= N (tptp.aa_num_nat tptp.pred_numeral K2)))))
% 16.06/16.28 (assume a6400 (forall ((K2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.pred_numeral K2)) N)))))
% 16.06/16.28 (assume a6401 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat K2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_num_nat tptp.pred_numeral K2))))))
% 16.06/16.28 (assume a6402 (forall ((K2 tptp.num)) (= (tptp.aa_num_nat tptp.pred_numeral (tptp.aa_num_num tptp.bit1 K2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2)))))
% 16.06/16.28 (assume a6403 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat K2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_num_nat tptp.pred_numeral K2))))))
% 16.06/16.28 (assume a6404 (forall ((K2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.pred_numeral K2)) N)))))
% 16.06/16.28 (assume a6405 (forall ((K2 tptp.num) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_num_nat tptp.pred_numeral K2)) N))))
% 16.06/16.28 (assume a6406 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_num_nat tptp.pred_numeral K2)))))
% 16.06/16.28 (assume a6407 (forall ((K2 tptp.num) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.pred_numeral K2)) N)))))
% 16.06/16.28 (assume a6408 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat N) (tptp.aa_num_nat tptp.pred_numeral K2))))))
% 16.06/16.28 (assume a6409 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool tptp.unique6319869463603278526ux_int (tptp.unique5052692396658037445od_int N M2))))))
% 16.06/16.28 (assume a6410 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool tptp.unique6322359934112328802ux_nat (tptp.unique5055182867167087721od_nat N M2))))))
% 16.06/16.28 (assume a6411 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))) (tptp.unique5706413561485394159nteger (tptp.unique3479559517661332726nteger N M2)))))
% 16.06/16.28 (assume a6412 (forall ((M2 tptp.num)) (= (tptp.unique5052692396658037445od_int M2 tptp.one) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) tptp.zero_zero_int))))
% 16.06/16.28 (assume a6413 (forall ((M2 tptp.num)) (= (tptp.unique5055182867167087721od_nat M2 tptp.one) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) tptp.zero_zero_nat))))
% 16.06/16.28 (assume a6414 (forall ((M2 tptp.num)) (= (tptp.unique3479559517661332726nteger M2 tptp.one) (tptp.produc1086072967326762835nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a6415 (forall ((N tptp.num)) (= (tptp.unique5052692396658037445od_int tptp.one (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)))))
% 16.06/16.28 (assume a6416 (forall ((N tptp.num)) (= (tptp.unique5055182867167087721od_nat tptp.one (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)))))
% 16.06/16.28 (assume a6417 (forall ((N tptp.num)) (= (tptp.unique3479559517661332726nteger tptp.one (tptp.aa_num_num tptp.bit0 N)) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger tptp.one)))))
% 16.06/16.28 (assume a6418 (forall ((N tptp.num)) (= (tptp.unique5052692396658037445od_int tptp.one (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)))))
% 16.06/16.28 (assume a6419 (forall ((N tptp.num)) (= (tptp.unique5055182867167087721od_nat tptp.one (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)))))
% 16.06/16.28 (assume a6420 (forall ((N tptp.num)) (= (tptp.unique3479559517661332726nteger tptp.one (tptp.aa_num_num tptp.bit1 N)) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger tptp.one)))))
% 16.06/16.28 (assume a6421 (forall ((L tptp.num) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a6422 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int tptp.aTP_Lamm_gx) (tptp.unique5052692396658037445od_int M2 N)))))
% 16.06/16.28 (assume a6423 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_Pro262675715343573244at_nat (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_gy) (tptp.unique5055182867167087721od_nat M2 N)))))
% 16.06/16.28 (assume a6424 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit0 N)) (tptp.produc6916734918728496179nteger tptp.aTP_Lamm_gz (tptp.unique3479559517661332726nteger M2 N)))))
% 16.06/16.28 (assume a6425 (forall ((L tptp.num) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a6426 (forall ((L tptp.num) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.06/16.28 (assume a6427 (forall ((C tptp.complex) (A4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) (tptp.uminus8566677241136511917omplex A4))) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex C) A4))))))
% 16.06/16.28 (assume a6428 (forall ((C tptp.real) (A4 tptp.set_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) (tptp.uminus612125837232591019t_real A4))) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real C) A4))))))
% 16.06/16.28 (assume a6429 (forall ((C tptp.bool) (A4 tptp.set_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) (tptp.uminus5166143097222041326t_bool A4))) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool C) A4))))))
% 16.06/16.28 (assume a6430 (forall ((C tptp.nat) (A4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) (tptp.uminus5710092332889474511et_nat A4))) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat C) A4))))))
% 16.06/16.28 (assume a6431 (forall ((C tptp.int) (A4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) (tptp.uminus1532241313380277803et_int A4))) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int C) A4))))))
% 16.06/16.28 (assume a6432 (forall ((A4 tptp.set_real)) (= (tptp.uminus612125837232591019t_real A4) (tptp.collect_real (tptp.uminus4638318004487240379l_bool (tptp.aTP_Lamm_a A4))))))
% 16.06/16.28 (assume a6433 (forall ((A4 tptp.set_bool)) (= (tptp.uminus5166143097222041326t_bool A4) (tptp.collect_bool (tptp.uminus215040010513443916l_bool (tptp.aTP_Lamm_aa A4))))))
% 16.06/16.28 (assume a6434 (forall ((A4 tptp.set_int)) (= (tptp.uminus1532241313380277803et_int A4) (tptp.collect_int (tptp.uminus8094991720627284027t_bool (tptp.aTP_Lamm_ab A4))))))
% 16.06/16.28 (assume a6435 (forall ((A4 tptp.set_nat)) (= (tptp.uminus5710092332889474511et_nat A4) (tptp.collect_nat (tptp.uminus1995910650241132439t_bool (tptp.aTP_Lamm_ac A4))))))
% 16.06/16.28 (assume a6436 (forall ((A4 tptp.set_complex)) (= (tptp.uminus8566677241136511917omplex A4) (tptp.collect_complex (tptp.uminus8337675090112669241x_bool (tptp.aTP_Lamm_ad A4))))))
% 16.06/16.28 (assume a6437 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.uminus6524753893492686040at_nat A4) (tptp.collec3392354462482085612at_nat (tptp.uminus6270006169978340066t_bool (tptp.aTP_Lamm_ae A4))))))
% 16.06/16.28 (assume a6438 (forall ((A4 tptp.set_set_nat)) (= (tptp.uminus613421341184616069et_nat A4) (tptp.collect_set_nat (tptp.uminus6226608070181861729t_bool (tptp.aTP_Lamm_af A4))))))
% 16.06/16.28 (assume a6439 (forall ((A4 tptp.set_list_nat)) (= (tptp.uminus3195874150345416415st_nat A4) (tptp.collect_list_nat (tptp.uminus5119773305880778631t_bool (tptp.aTP_Lamm_ag A4))))))
% 16.06/16.28 (assume a6440 (forall ((P tptp.fun_nat_bool)) (= (tptp.collect_nat (tptp.aTP_Lamm_ha P)) (tptp.uminus5710092332889474511et_nat (tptp.collect_nat P)))))
% 16.06/16.28 (assume a6441 (forall ((P tptp.fun_complex_bool)) (= (tptp.collect_complex (tptp.aTP_Lamm_hb P)) (tptp.uminus8566677241136511917omplex (tptp.collect_complex P)))))
% 16.06/16.28 (assume a6442 (forall ((P tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.collec3392354462482085612at_nat (tptp.aTP_Lamm_hc P)) (tptp.uminus6524753893492686040at_nat (tptp.collec3392354462482085612at_nat P)))))
% 16.06/16.28 (assume a6443 (forall ((P tptp.fun_set_nat_bool)) (= (tptp.collect_set_nat (tptp.aTP_Lamm_hd P)) (tptp.uminus613421341184616069et_nat (tptp.collect_set_nat P)))))
% 16.06/16.28 (assume a6444 (forall ((P tptp.fun_list_nat_bool)) (= (tptp.collect_list_nat (tptp.aTP_Lamm_he P)) (tptp.uminus3195874150345416415st_nat (tptp.collect_list_nat P)))))
% 16.06/16.28 (assume a6445 (forall ((A4 tptp.set_real)) (= (tptp.uminus612125837232591019t_real A4) (tptp.collect_real (tptp.aTP_Lamm_hf A4)))))
% 16.06/16.28 (assume a6446 (forall ((A4 tptp.set_bool)) (= (tptp.uminus5166143097222041326t_bool A4) (tptp.collect_bool (tptp.aTP_Lamm_hg A4)))))
% 16.06/16.28 (assume a6447 (forall ((A4 tptp.set_int)) (= (tptp.uminus1532241313380277803et_int A4) (tptp.collect_int (tptp.aTP_Lamm_hh A4)))))
% 16.06/16.28 (assume a6448 (forall ((A4 tptp.set_nat)) (= (tptp.uminus5710092332889474511et_nat A4) (tptp.collect_nat (tptp.aTP_Lamm_hi A4)))))
% 16.06/16.28 (assume a6449 (forall ((A4 tptp.set_complex)) (= (tptp.uminus8566677241136511917omplex A4) (tptp.collect_complex (tptp.aTP_Lamm_hj A4)))))
% 16.06/16.28 (assume a6450 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (tptp.uminus6524753893492686040at_nat A4) (tptp.collec3392354462482085612at_nat (tptp.aTP_Lamm_hk A4)))))
% 16.06/16.28 (assume a6451 (forall ((A4 tptp.set_set_nat)) (= (tptp.uminus613421341184616069et_nat A4) (tptp.collect_set_nat (tptp.aTP_Lamm_hl A4)))))
% 16.06/16.28 (assume a6452 (forall ((A4 tptp.set_list_nat)) (= (tptp.uminus3195874150345416415st_nat A4) (tptp.collect_list_nat (tptp.aTP_Lamm_hm A4)))))
% 16.06/16.28 (assume a6453 (forall ((Z tptp.complex) (C tptp.fun_nu9041852840018610706omplex) (P2 tptp.product_prod_num_num)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.produc2866383454006189126omplex C P2))) (not (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num X5 Y3)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.aa_num_set_complex (tptp.aa_num241437687621652691omplex C X5) Y3))))))))))
% 16.06/16.28 (assume a6454 (forall ((Z tptp.real) (C tptp.fun_nu4698968662094489488t_real) (P2 tptp.product_prod_num_num)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc8296048397933160132t_real C P2))) (not (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num X5 Y3)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_num_set_real (tptp.aa_num2469771427700027217t_real C X5) Y3))))))))))
% 16.06/16.28 (assume a6455 (forall ((Z tptp.bool) (C tptp.fun_nu7299076251450613493t_bool) (P2 tptp.product_prod_num_num)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Z) (tptp.produc5172587336680252053t_bool C P2))) (not (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num X5 Y3)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Z) (tptp.aa_num_set_bool (tptp.aa_num3345375174343775326t_bool C X5) Y3))))))))))
% 16.06/16.28 (assume a6456 (forall ((Z tptp.nat) (C tptp.fun_nu530747996811530292et_nat) (P2 tptp.product_prod_num_num)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc1361121860356118632et_nat C P2))) (not (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num X5 Y3)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_num_set_nat (tptp.aa_num5617506412915843061et_nat C X5) Y3))))))))))
% 16.06/16.28 (assume a6457 (forall ((Z tptp.int) (C tptp.fun_nu4940571614878387344et_int) (P2 tptp.product_prod_num_num)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.produc6406642877701697732et_int C P2))) (not (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num X5 Y3)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.aa_num_set_int (tptp.aa_num3127423267984116305et_int C X5) Y3))))))))))
% 16.06/16.28 (assume a6458 (forall ((Z tptp.complex) (C tptp.fun_na3925014923085203400omplex) (P2 tptp.product_prod_nat_num)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.produc6231982587499038204omplex C P2))) (not (forall ((X5 tptp.nat) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num X5 Y3)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Z) (tptp.aa_num_set_complex (tptp.aa_nat4347971807543021193omplex C X5) Y3))))))))))
% 16.06/16.28 (assume a6459 (forall ((Z tptp.real) (C tptp.fun_na3666575854997362246t_real) (P2 tptp.product_prod_nat_num)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.produc1435849484188172666t_real C P2))) (not (forall ((X5 tptp.nat) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num X5 Y3)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Z) (tptp.aa_num_set_real (tptp.aa_nat1437378620602899975t_real C X5) Y3))))))))))
% 16.06/16.28 (assume a6460 (forall ((Z tptp.bool) (C tptp.fun_na7380188056088765119t_bool) (P2 tptp.product_prod_nat_num)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Z) (tptp.produc5131145674798987871t_bool C P2))) (not (forall ((X5 tptp.nat) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num X5 Y3)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Z) (tptp.aa_num_set_bool (tptp.aa_nat3426486978981926952t_bool C X5) Y3))))))))))
% 16.06/16.28 (assume a6461 (forall ((Z tptp.nat) (C tptp.fun_na3896347130304379370et_nat) (P2 tptp.product_prod_nat_num)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.produc4130284055270567454et_nat C P2))) (not (forall ((X5 tptp.nat) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num X5 Y3)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Z) (tptp.aa_num_set_nat (tptp.aa_nat8983105546408692139et_nat C X5) Y3))))))))))
% 16.06/16.28 (assume a6462 (forall ((Z tptp.int) (C tptp.fun_na8306170748371236422et_int) (P2 tptp.product_prod_nat_num)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.produc9175805072616146554et_int C P2))) (not (forall ((X5 tptp.nat) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num X5 Y3)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Z) (tptp.aa_num_set_int (tptp.aa_nat6493022401476965383et_int C X5) Y3))))))))))
% 16.06/16.28 (assume a6463 (forall ((C tptp.fun_se1534075524646452397t_bool) (P2 tptp.produc3843707927480180839at_nat)) (=> (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.produc4641332057840980011t_bool C) P2)) (not (forall ((X5 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (=> (= P2 (tptp.produc2922128104949294807at_nat X5 Y3)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool C X5) Y3)))))))))
% 16.06/16.28 (assume a6464 (forall ((C tptp.fun_num_fun_num_bool) (P2 tptp.product_prod_num_num)) (=> (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.produc8237051459014760373m_bool C) P2)) (not (forall ((X5 tptp.num) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_num_num X5 Y3)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool C X5) Y3)))))))))
% 16.06/16.28 (assume a6465 (forall ((C tptp.fun_nat_fun_num_bool) (P2 tptp.product_prod_nat_num)) (=> (tptp.pp (tptp.aa_Pro5426739851356932296m_bool (tptp.produc3677492636715751295m_bool C) P2)) (not (forall ((X5 tptp.nat) (Y3 tptp.num)) (=> (= P2 (tptp.product_Pair_nat_num X5 Y3)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_nat_fun_num_bool C X5) Y3)))))))))
% 16.06/16.28 (assume a6466 (forall ((C tptp.fun_int_fun_int_bool) (P2 tptp.product_prod_int_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool C) P2)) (not (forall ((X5 tptp.int) (Y3 tptp.int)) (=> (= P2 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X5) Y3)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool C X5) Y3)))))))))
% 16.06/16.28 (assume a6467 (forall ((C tptp.fun_nat_fun_nat_bool) (P2 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool C) P2)) (not (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (= P2 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool C X5) Y3)))))))))
% 16.06/16.28 (assume a6468 (forall ((F tptp.fun_se1534075524646452397t_bool) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.produc4641332057840980011t_bool F) (tptp.produc2922128104949294807at_nat A B))) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool F A) B)))))
% 16.06/16.28 (assume a6469 (forall ((F tptp.fun_num_fun_num_bool) (A tptp.num) (B tptp.num)) (=> (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.produc8237051459014760373m_bool F) (tptp.product_Pair_num_num A B))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool F A) B)))))
% 16.06/16.28 (assume a6470 (forall ((F tptp.fun_nat_fun_num_bool) (A tptp.nat) (B tptp.num)) (=> (tptp.pp (tptp.aa_Pro5426739851356932296m_bool (tptp.produc3677492636715751295m_bool F) (tptp.product_Pair_nat_num A B))) (tptp.pp (tptp.aa_num_bool (tptp.aa_nat_fun_num_bool F A) B)))))
% 16.06/16.28 (assume a6471 (forall ((F tptp.fun_int_fun_int_bool) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool F) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool F A) B)))))
% 16.06/16.28 (assume a6472 (forall ((F tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool F) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool F A) B)))))
% 16.06/16.28 (assume a6473 (forall ((C tptp.fun_na4786964484885125043t_bool) (P2 tptp.product_prod_nat_nat) (Z tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool C) P2) Z)) (not (forall ((X5 tptp.nat) (Y3 tptp.nat)) (=> (= P2 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3)) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool C X5) Y3) Z)))))))))
% 16.06/16.28 (assume a6474 (forall ((R tptp.fun_na4786964484885125043t_bool) (A tptp.nat) (B tptp.nat) (C tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool R) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B)) C)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool R A) B) C)))))
% 16.06/16.28 (assume a6475 (forall ((A4 tptp.fun_nat_fun_nat_bool) (B4 tptp.fun_nat_fun_nat_bool)) (=> (tptp.ord_le4899916226251588169t_bool A4 B4) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool A4))) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool B4)))))))
% 16.06/16.28 (assume a6476 (forall ((K2 tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat K2) (tptp.aa_nat_nat tptp.suc (tptp.aa_num_nat tptp.pred_numeral K2)))))
% 16.06/16.28 (assume a6477 (forall ((K2 tptp.num)) (= (tptp.aa_num_nat tptp.pred_numeral K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) tptp.one_one_nat))))
% 16.06/16.28 (assume a6478 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.unique5052692396658037445od_int M2 N) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.06/16.28 (assume a6479 (forall ((L tptp.num) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a6480 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.unique5052692396658037445od_int M2 N) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.06/16.28 (assume a6481 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.unique5055182867167087721od_nat M2 N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.06/16.28 (assume a6482 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.unique3479559517661332726nteger M2 N) (tptp.produc1086072967326762835nteger (tptp.divide6298287555418463151nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))))))
% 16.06/16.28 (assume a6483 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.unique5055182867167087721od_nat M2 N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.06/16.28 (assume a6484 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex X3) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) X3)) tptp.one_one_complex))))
% 16.06/16.28 (assume a6485 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real X3) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real X3) X3)) tptp.one_one_real))))
% 16.06/16.28 (assume a6486 (forall ((X3 tptp.rat)) (= (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) X3)) tptp.one_one_rat))))
% 16.06/16.28 (assume a6487 (forall ((X3 tptp.int)) (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) X3)) tptp.one_one_int))))
% 16.06/16.28 (assume a6488 (forall ((L tptp.num) (K2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_nat tptp.numeral_numeral_nat K2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a6489 (forall ((L tptp.num) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.28 (assume a6490 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)) (= (tptp.unique5055182867167087721od_nat M2 N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat M2)))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N))) (= (tptp.unique5055182867167087721od_nat M2 N) (tptp.unique5026877609467782581ep_nat N (tptp.unique5055182867167087721od_nat M2 (tptp.aa_num_num tptp.bit0 N))))))))
% 16.06/16.28 (assume a6491 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)) (= (tptp.unique5052692396658037445od_int M2 N) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int M2)))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N))) (= (tptp.unique5052692396658037445od_int M2 N) (tptp.aa_Pro6970504127699319548nt_int (tptp.unique5024387138958732305ep_int N) (tptp.unique5052692396658037445od_int M2 (tptp.aa_num_num tptp.bit0 N))))))))
% 16.06/16.28 (assume a6492 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N)) (= (tptp.unique3479559517661332726nteger M2 N) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M2) N))) (= (tptp.unique3479559517661332726nteger M2 N) (tptp.unique4921790084139445826nteger N (tptp.unique3479559517661332726nteger M2 (tptp.aa_num_num tptp.bit0 N))))))))
% 16.06/16.28 (assume a6493 (forall ((L tptp.num) (K2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_nat tptp.numeral_numeral_nat K2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat))))
% 16.06/16.28 (assume a6494 (forall ((L tptp.num) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.06/16.28 (assume a6495 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.adjust_div (tptp.unique5052692396658037445od_int tptp.one N))))))
% 16.06/16.28 (assume a6496 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.adjust_div (tptp.unique5052692396658037445od_int tptp.one N))))))
% 16.06/16.28 (assume a6497 (forall ((L tptp.num) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc K2))))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.06/16.28 (assume a6498 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) X3))) X3))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.28 (assume a6499 (forall ((N tptp.nat) (M2 tptp.nat)) (and (=> (or (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N))) (= (tptp.divmod_nat M2 N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) M2))) (=> (not (or (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))) (= (tptp.divmod_nat M2 N) (tptp.aa_Pro262675715343573244at_nat (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_hn) (tptp.divmod_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N) N)))))))
% 16.06/16.28 (assume a6500 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc K2))))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 16.06/16.28 (assume a6501 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real A))))
% 16.06/16.28 (assume a6502 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int A))))
% 16.06/16.28 (assume a6503 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer A))))
% 16.06/16.28 (assume a6504 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat A))))
% 16.06/16.28 (assume a6505 (forall ((P tptp.bool) (Q tptp.fun_nat_fun_nat_bool) (X tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool (tptp.aa_fun3051233943552222972t_bool (tptp.aTP_Lamm_ho P) Q)) X)) (and (tptp.pp P) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool Q) X))))))
% 16.06/16.28 (assume a6506 (forall ((A tptp.code_integer)) (= (= tptp.zero_z3403309356797280102nteger (tptp.abs_abs_Code_integer A)) (= A tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a6507 (forall ((A tptp.real)) (= (= tptp.zero_zero_real (tptp.aa_real_real tptp.abs_abs_real A)) (= A tptp.zero_zero_real))))
% 16.06/16.28 (assume a6508 (forall ((A tptp.rat)) (= (= tptp.zero_zero_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (= A tptp.zero_zero_rat))))
% 16.06/16.28 (assume a6509 (forall ((A tptp.int)) (= (= tptp.zero_zero_int (tptp.aa_int_int tptp.abs_abs_int A)) (= A tptp.zero_zero_int))))
% 16.06/16.28 (assume a6510 (forall ((A tptp.code_integer)) (= (= (tptp.abs_abs_Code_integer A) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a6511 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.abs_abs_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 16.06/16.28 (assume a6512 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.abs_abs_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 16.06/16.28 (assume a6513 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.abs_abs_int A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 16.06/16.28 (assume a6514 (= (tptp.abs_abs_Code_integer tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger))
% 16.06/16.28 (assume a6515 (= (tptp.aa_real_real tptp.abs_abs_real tptp.zero_zero_real) tptp.zero_zero_real))
% 16.06/16.28 (assume a6516 (= (tptp.aa_rat_rat tptp.abs_abs_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 16.06/16.28 (assume a6517 (= (tptp.aa_int_int tptp.abs_abs_int tptp.zero_zero_int) tptp.zero_zero_int))
% 16.06/16.28 (assume a6518 (forall ((N tptp.num)) (= (tptp.abs_abs_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))))
% 16.06/16.28 (assume a6519 (forall ((N tptp.num)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real N))))
% 16.06/16.28 (assume a6520 (forall ((N tptp.num)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))))
% 16.06/16.28 (assume a6521 (forall ((N tptp.num)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 16.06/16.28 (assume a6522 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B))) (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B)))))
% 16.06/16.28 (assume a6523 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B)))))
% 16.06/16.28 (assume a6524 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B)))))
% 16.06/16.28 (assume a6525 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B)))))
% 16.06/16.28 (assume a6526 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.abs_abs_int A))))
% 16.06/16.28 (assume a6527 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.abs_abs_real A))))
% 16.06/16.28 (assume a6528 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.abs_abs_Code_integer A))))
% 16.06/16.28 (assume a6529 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat A))))
% 16.06/16.28 (assume a6530 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (= (tptp.abs_abs_Code_integer A) A))))
% 16.06/16.28 (assume a6531 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (= (tptp.aa_real_real tptp.abs_abs_real A) A))))
% 16.06/16.28 (assume a6532 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (= (tptp.aa_rat_rat tptp.abs_abs_rat A) A))))
% 16.06/16.28 (assume a6533 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (= (tptp.aa_int_int tptp.abs_abs_int A) A))))
% 16.06/16.28 (assume a6534 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)))))
% 16.06/16.28 (assume a6535 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 16.06/16.28 (assume a6536 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 16.06/16.28 (assume a6537 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))
% 16.06/16.28 (assume a6538 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) tptp.zero_z3403309356797280102nteger)) (= A tptp.zero_z3403309356797280102nteger))))
% 16.06/16.28 (assume a6539 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) tptp.zero_zero_real)) (= A tptp.zero_zero_real))))
% 16.06/16.28 (assume a6540 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) tptp.zero_zero_rat)) (= A tptp.zero_zero_rat))))
% 16.06/16.28 (assume a6541 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) tptp.zero_zero_int)) (= A tptp.zero_zero_int))))
% 16.06/16.28 (assume a6542 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.abs_abs_Code_integer A))) (not (= A tptp.zero_z3403309356797280102nteger)))))
% 16.06/16.28 (assume a6543 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.abs_abs_real A))) (not (= A tptp.zero_zero_real)))))
% 16.06/16.29 (assume a6544 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.abs_abs_rat A))) (not (= A tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a6545 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int tptp.abs_abs_int A))) (not (= A tptp.zero_zero_int)))))
% 16.06/16.29 (assume a6546 (forall ((N tptp.num)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 16.06/16.29 (assume a6547 (forall ((N tptp.num)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_num_real tptp.numeral_numeral_real N))))
% 16.06/16.29 (assume a6548 (forall ((N tptp.num)) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))))
% 16.06/16.29 (assume a6549 (forall ((N tptp.num)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_num_rat tptp.numeral_numeral_rat N))))
% 16.06/16.29 (assume a6550 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N)) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.06/16.29 (assume a6551 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real (tptp.power_power_real A) N)))))
% 16.06/16.29 (assume a6552 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.abs_abs_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) N)) (tptp.abs_abs_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)))))
% 16.06/16.29 (assume a6553 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N)) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 16.06/16.29 (assume a6554 (forall ((K2 tptp.num)) (= (tptp.aa_num_nat tptp.pred_numeral (tptp.aa_num_num tptp.inc K2)) (tptp.aa_num_nat tptp.numeral_numeral_nat K2))))
% 16.06/16.29 (assume a6555 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real A) (tptp.aa_real_real tptp.abs_abs_real B))) tptp.zero_zero_real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (= B tptp.zero_zero_real)))))
% 16.06/16.29 (assume a6556 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) (tptp.aa_rat_rat tptp.abs_abs_rat B))) tptp.zero_zero_rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (= B tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a6557 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.divide_divide_real A) (tptp.aa_real_real tptp.abs_abs_real B)))) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (= B tptp.zero_zero_real)))))
% 16.06/16.29 (assume a6558 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) (tptp.aa_rat_rat tptp.abs_abs_rat B)))) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (= B tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a6559 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real A) (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 16.06/16.29 (assume a6560 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 16.06/16.29 (assume a6561 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 16.06/16.29 (assume a6562 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.abs_abs_int A) (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 16.06/16.29 (assume a6563 (forall ((Q3 tptp.int) (R2 tptp.int)) (= (tptp.adjust_div (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Q3) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int R2) tptp.zero_zero_int)))))))
% 16.06/16.29 (assume a6564 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A)) N))) (or (not (= A tptp.zero_z3403309356797280102nteger)) (= N tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a6565 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N))) (or (not (= A tptp.zero_zero_real)) (= N tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a6566 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) N))) (or (not (= A tptp.zero_zero_rat)) (= N tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a6567 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) N))) (or (not (= A tptp.zero_zero_int)) (= N tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a6568 (forall ((A tptp.code_integer)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6569 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6570 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6571 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6572 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6573 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6574 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6575 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6576 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc N))))))
% 16.06/16.29 (assume a6577 (forall ((N tptp.num)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc N))))))
% 16.06/16.29 (assume a6578 (forall ((N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc N))))))
% 16.06/16.29 (assume a6579 (forall ((N tptp.num)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc N))))))
% 16.06/16.29 (assume a6580 (forall ((N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.inc N))))))
% 16.06/16.29 (assume a6581 (forall ((M2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc M2))))))
% 16.06/16.29 (assume a6582 (forall ((M2 tptp.num)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M2))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc M2))))))
% 16.06/16.29 (assume a6583 (forall ((M2 tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M2))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc M2))))))
% 16.06/16.29 (assume a6584 (forall ((M2 tptp.num)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc M2))))))
% 16.06/16.29 (assume a6585 (forall ((M2 tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.inc M2))))))
% 16.06/16.29 (assume a6586 (forall ((M2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc M2)))))
% 16.06/16.29 (assume a6587 (forall ((M2 tptp.num)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc M2)))))
% 16.06/16.29 (assume a6588 (forall ((M2 tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.numera6690914467698888265omplex M2)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc M2)))))
% 16.06/16.29 (assume a6589 (forall ((M2 tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc M2)))))
% 16.06/16.29 (assume a6590 (forall ((M2 tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.inc M2)))))
% 16.06/16.29 (assume a6591 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc N))))))
% 16.06/16.29 (assume a6592 (forall ((N tptp.num)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc N))))))
% 16.06/16.29 (assume a6593 (forall ((N tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.numera6690914467698888265omplex N)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc N))))))
% 16.06/16.29 (assume a6594 (forall ((N tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc N))))))
% 16.06/16.29 (assume a6595 (forall ((N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.inc N))))))
% 16.06/16.29 (assume a6596 (forall ((W tptp.num) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A)) (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.29 (assume a6597 (forall ((W tptp.num) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.29 (assume a6598 (forall ((W tptp.num) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.29 (assume a6599 (forall ((W tptp.num) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.29 (assume a6600 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.adjust_div (tptp.unique5052692396658037445od_int M2 N))))))
% 16.06/16.29 (assume a6601 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.adjust_div (tptp.unique5052692396658037445od_int M2 N))))))
% 16.06/16.29 (assume a6602 (forall ((Prod tptp.product_prod_nat_nat)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.produc8955392012077580105t_bool tptp.aTP_Lamm_hp) Prod))))
% 16.06/16.29 (assume a6603 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real tptp.abs_abs_real A)))))
% 16.06/16.29 (assume a6604 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) (tptp.abs_abs_Code_integer A)))))
% 16.06/16.29 (assume a6605 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat tptp.abs_abs_rat A)))))
% 16.06/16.29 (assume a6606 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int tptp.abs_abs_int A)))))
% 16.06/16.29 (assume a6607 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)))))
% 16.06/16.29 (assume a6608 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B)))))
% 16.06/16.29 (assume a6609 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)))))
% 16.06/16.29 (assume a6610 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)))))
% 16.06/16.29 (assume a6611 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A B)) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger B A)))))
% 16.06/16.29 (assume a6612 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real A) B)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real B) A)))))
% 16.06/16.29 (assume a6613 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B)) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) A)))))
% 16.06/16.29 (assume a6614 (forall ((A tptp.int) (B tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B)) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A)))))
% 16.06/16.29 (assume a6615 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.abs_abs_Code_integer (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A)) N))))
% 16.06/16.29 (assume a6616 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) N))))
% 16.06/16.29 (assume a6617 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N))))
% 16.06/16.29 (assume a6618 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) N))))
% 16.06/16.29 (assume a6619 (forall ((P tptp.fun_num_bool) (X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool P tptp.one)) (=> (forall ((X5 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool P X5)) (tptp.pp (tptp.aa_num_bool P (tptp.aa_num_num tptp.inc X5))))) (tptp.pp (tptp.aa_num_bool P X3))))))
% 16.06/16.29 (assume a6620 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.abs_abs_Code_integer A)))))
% 16.06/16.29 (assume a6621 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.abs_abs_real A)))))
% 16.06/16.29 (assume a6622 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.abs_abs_rat A)))))
% 16.06/16.29 (assume a6623 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.abs_abs_int A)))))
% 16.06/16.29 (assume a6624 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)) (= (tptp.abs_abs_Code_integer A) A))))
% 16.06/16.29 (assume a6625 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.aa_real_real tptp.abs_abs_real A) A))))
% 16.06/16.29 (assume a6626 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (= (tptp.aa_rat_rat tptp.abs_abs_rat A) A))))
% 16.06/16.29 (assume a6627 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (= (tptp.aa_int_int tptp.abs_abs_int A) A))))
% 16.06/16.29 (assume a6628 (forall ((A tptp.code_integer)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer A)) tptp.zero_z3403309356797280102nteger)))))
% 16.06/16.29 (assume a6629 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real A)) tptp.zero_zero_real)))))
% 16.06/16.29 (assume a6630 (forall ((A tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a6631 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int A)) tptp.zero_zero_int)))))
% 16.06/16.29 (assume a6632 (forall ((A tptp.code_integer) (B tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.plus_p5714425477246183910nteger A B))) (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B))))))
% 16.06/16.29 (assume a6633 (forall ((A tptp.real) (B tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.plus_plus_real A) B))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B))))))
% 16.06/16.29 (assume a6634 (forall ((A tptp.rat) (B tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B))))))
% 16.06/16.29 (assume a6635 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B))))))
% 16.06/16.29 (assume a6636 (forall ((A tptp.code_integer) (B tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.minus_8373710615458151222nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B))) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger B A))))))
% 16.06/16.29 (assume a6637 (forall ((A tptp.real) (B tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real B) A))))))
% 16.06/16.29 (assume a6638 (forall ((A tptp.rat) (B tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) A))))))
% 16.06/16.29 (assume a6639 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B))) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) A))))))
% 16.06/16.29 (assume a6640 (forall ((A tptp.code_integer) (B tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B)))) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A B))))))
% 16.06/16.29 (assume a6641 (forall ((A tptp.real) (B tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B)))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real A) B))))))
% 16.06/16.29 (assume a6642 (forall ((A tptp.rat) (B tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B)))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B))))))
% 16.06/16.29 (assume a6643 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B)))) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))))))
% 16.06/16.29 (assume a6644 (forall ((A tptp.code_integer) (B tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.minus_8373710615458151222nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B))) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A B))))))
% 16.06/16.29 (assume a6645 (forall ((A tptp.real) (B tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real A) B))))))
% 16.06/16.29 (assume a6646 (forall ((A tptp.rat) (B tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B))))))
% 16.06/16.29 (assume a6647 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B))) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))))))
% 16.06/16.29 (assume a6648 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.abs_abs_real A)))))
% 16.06/16.29 (assume a6649 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.abs_abs_Code_integer A)))))
% 16.06/16.29 (assume a6650 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat A)))))
% 16.06/16.29 (assume a6651 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.abs_abs_int A)))))
% 16.06/16.29 (assume a6652 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) B)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B))))))
% 16.06/16.29 (assume a6653 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B))))))
% 16.06/16.29 (assume a6654 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) B)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B))))))
% 16.06/16.29 (assume a6655 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) B)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B))))))
% 16.06/16.29 (assume a6656 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B)))))
% 16.06/16.29 (assume a6657 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B)))))
% 16.06/16.29 (assume a6658 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B)))))
% 16.06/16.29 (assume a6659 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B)))))
% 16.06/16.29 (assume a6660 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) B))))))
% 16.06/16.29 (assume a6661 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B))))))
% 16.06/16.29 (assume a6662 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) B))))))
% 16.06/16.29 (assume a6663 (forall ((A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) B))))))
% 16.06/16.29 (assume a6664 (= (tptp.aa_num_num tptp.inc tptp.one) (tptp.aa_num_num tptp.bit0 tptp.one)))
% 16.06/16.29 (assume a6665 (forall ((X3 tptp.num)) (= (tptp.aa_num_num tptp.inc (tptp.aa_num_num tptp.bit0 X3)) (tptp.aa_num_num tptp.bit1 X3))))
% 16.06/16.29 (assume a6666 (forall ((X3 tptp.num)) (= (tptp.aa_num_num tptp.inc (tptp.aa_num_num tptp.bit1 X3)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.inc X3)))))
% 16.06/16.29 (assume a6667 (forall ((X3 tptp.real)) (=> (forall ((E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X3)) E2)))) (= X3 tptp.zero_zero_real))))
% 16.06/16.29 (assume a6668 (forall ((X3 tptp.rat)) (=> (forall ((E2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) E2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat X3)) E2)))) (= X3 tptp.zero_zero_rat))))
% 16.06/16.29 (assume a6669 (forall ((X3 tptp.code_integer) (Y tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) X3)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer Y)) X3) (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger Y) X3))))))
% 16.06/16.29 (assume a6670 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.abs_abs_real Y)) X3) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.times_times_real Y) X3))))))
% 16.06/16.29 (assume a6671 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.abs_abs_rat Y)) X3) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) X3))))))
% 16.06/16.29 (assume a6672 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X3)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int Y)) X3) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) X3))))))
% 16.06/16.29 (assume a6673 (forall ((A tptp.code_integer) (B tptp.code_integer)) (=> (and (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) B)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger B) tptp.zero_z3403309356797280102nteger)))) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer B))))))
% 16.06/16.29 (assume a6674 (forall ((A tptp.real) (B tptp.real)) (=> (and (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real))) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real)))) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.times_times_real A) B)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B))))))
% 16.06/16.29 (assume a6675 (forall ((A tptp.rat) (B tptp.rat)) (=> (and (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat))) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) tptp.zero_zero_rat)))) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B))))))
% 16.06/16.29 (assume a6676 (forall ((A tptp.int) (B tptp.int)) (=> (and (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) tptp.zero_zero_int)))) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B))))))
% 16.06/16.29 (assume a6677 (forall ((A tptp.real) (B tptp.real)) (= (= (tptp.aa_real_real tptp.abs_abs_real A) B) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (or (= A B) (= A (tptp.aa_real_real tptp.uminus_uminus_real B)))))))
% 16.06/16.29 (assume a6678 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= (tptp.abs_abs_Code_integer A) B) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) B)) (or (= A B) (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)))))))
% 16.06/16.29 (assume a6679 (forall ((A tptp.rat) (B tptp.rat)) (= (= (tptp.aa_rat_rat tptp.abs_abs_rat A) B) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (or (= A B) (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B)))))))
% 16.06/16.29 (assume a6680 (forall ((A tptp.int) (B tptp.int)) (= (= (tptp.aa_int_int tptp.abs_abs_int A) B) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B)) (or (= A B) (= A (tptp.aa_int_int tptp.uminus_uminus_int B)))))))
% 16.06/16.29 (assume a6681 (forall ((A tptp.real) (B tptp.real)) (= (= A (tptp.aa_real_real tptp.abs_abs_real B)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (or (= B A) (= B (tptp.aa_real_real tptp.uminus_uminus_real A)))))))
% 16.06/16.29 (assume a6682 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (= A (tptp.abs_abs_Code_integer B)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (or (= B A) (= B (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))))
% 16.06/16.29 (assume a6683 (forall ((A tptp.rat) (B tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.abs_abs_rat B)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (or (= B A) (= B (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))))
% 16.06/16.29 (assume a6684 (forall ((A tptp.int) (B tptp.int)) (= (= A (tptp.aa_int_int tptp.abs_abs_int B)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (or (= B A) (= B (tptp.aa_int_int tptp.uminus_uminus_int A)))))))
% 16.06/16.29 (assume a6685 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.abs_abs_real A))) tptp.zero_zero_real))))
% 16.06/16.29 (assume a6686 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.abs_abs_Code_integer A))) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.29 (assume a6687 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A))) tptp.zero_zero_rat))))
% 16.06/16.29 (assume a6688 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.abs_abs_int A))) tptp.zero_zero_int))))
% 16.06/16.29 (assume a6689 (forall ((A tptp.code_integer) (N tptp.nat)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A)) N)))))
% 16.06/16.29 (assume a6690 (forall ((A tptp.real) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N)))))
% 16.06/16.29 (assume a6691 (forall ((A tptp.rat) (N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) N)))))
% 16.06/16.29 (assume a6692 (forall ((A tptp.int) (N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) N)))))
% 16.06/16.29 (assume a6693 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.abs_abs_int A) (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 16.06/16.29 (assume a6694 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real A) (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 16.06/16.29 (assume a6695 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 16.06/16.29 (assume a6696 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 16.06/16.29 (assume a6697 (forall ((X3 tptp.code_integer) (A tptp.code_integer) (R2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger X3 A))) R2)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.minus_8373710615458151222nteger A R2)) X3)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger X3) (tptp.plus_p5714425477246183910nteger A R2)))))))
% 16.06/16.29 (assume a6698 (forall ((X3 tptp.real) (A tptp.real) (R2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real X3) A))) R2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real A) R2)) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.plus_plus_real A) R2)))))))
% 16.06/16.29 (assume a6699 (forall ((X3 tptp.rat) (A tptp.rat) (R2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) A))) R2)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) R2)) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) R2)))))))
% 16.06/16.29 (assume a6700 (forall ((X3 tptp.int) (A tptp.int) (R2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) A))) R2)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) R2)) X3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) R2)))))))
% 16.06/16.29 (assume a6701 (forall ((A tptp.code_integer) (B tptp.code_integer) (C tptp.code_integer) (D tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.plus_p5714425477246183910nteger A B) (tptp.plus_p5714425477246183910nteger C D)))) (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A C)) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger B D)))))))
% 16.06/16.29 (assume a6702 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) (tptp.aa_real_real (tptp.plus_plus_real C) D)))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real A) C))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real B) D)))))))
% 16.06/16.29 (assume a6703 (forall ((A tptp.rat) (B tptp.rat) (C tptp.rat) (D tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) D)))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) C))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) D)))))))
% 16.06/16.29 (assume a6704 (forall ((A tptp.int) (B tptp.int) (C tptp.int) (D tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) D)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C))) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) D)))))))
% 16.06/16.29 (assume a6705 (forall ((A tptp.code_integer) (B tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A B))) (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B))))))
% 16.06/16.29 (assume a6706 (forall ((A tptp.real) (B tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real A) B))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B))))))
% 16.06/16.29 (assume a6707 (forall ((A tptp.rat) (B tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) B))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B))))))
% 16.06/16.29 (assume a6708 (forall ((A tptp.int) (B tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B))))))
% 16.06/16.29 (assume a6709 (forall ((X3 tptp.code_integer) (A tptp.code_integer) (R2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger X3 A))) R2)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.minus_8373710615458151222nteger A R2)) X3)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X3) (tptp.plus_p5714425477246183910nteger A R2)))))))
% 16.06/16.29 (assume a6710 (forall ((X3 tptp.real) (A tptp.real) (R2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real X3) A))) R2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real A) R2)) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.plus_plus_real A) R2)))))))
% 16.06/16.29 (assume a6711 (forall ((X3 tptp.rat) (A tptp.rat) (R2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) A))) R2)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) R2)) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) R2)))))))
% 16.06/16.29 (assume a6712 (forall ((X3 tptp.int) (A tptp.int) (R2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) A))) R2)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) R2)) X3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) R2)))))))
% 16.06/16.29 (assume a6713 (forall ((X3 tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num X3) tptp.one) (tptp.aa_num_num tptp.inc X3))))
% 16.06/16.29 (assume a6714 (forall ((X3 tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.abs_abs_Code_integer X3))))))
% 16.06/16.29 (assume a6715 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.abs_abs_real X3))))))
% 16.06/16.29 (assume a6716 (forall ((X3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.abs_abs_rat X3))))))
% 16.06/16.29 (assume a6717 (forall ((X3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int tptp.abs_abs_int X3))))))
% 16.06/16.29 (assume a6718 (forall ((X3 tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc X3)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex X3)) tptp.one_one_complex))))
% 16.06/16.29 (assume a6719 (forall ((X3 tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc X3)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) tptp.one_one_real))))
% 16.06/16.29 (assume a6720 (forall ((X3 tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.inc X3)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) tptp.one_one_rat))))
% 16.06/16.29 (assume a6721 (forall ((X3 tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.inc X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) tptp.one_one_nat))))
% 16.06/16.29 (assume a6722 (forall ((X3 tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) tptp.one_one_int))))
% 16.06/16.29 (assume a6723 (forall ((X3 tptp.code_integer) (Y tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer X3)) (tptp.abs_abs_Code_integer Y))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a6724 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X3)) (tptp.aa_real_real tptp.abs_abs_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a6725 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat X3)) (tptp.aa_rat_rat tptp.abs_abs_rat Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a6726 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int X3)) (tptp.aa_int_int tptp.abs_abs_int Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a6727 (forall ((X3 tptp.code_integer)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer) (= (tptp.abs_abs_Code_integer X3) tptp.one_one_Code_integer))))
% 16.06/16.29 (assume a6728 (forall ((X3 tptp.rat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_rat) (= (tptp.aa_rat_rat tptp.abs_abs_rat X3) tptp.one_one_rat))))
% 16.06/16.29 (assume a6729 (forall ((X3 tptp.real)) (= (= (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_real) (= (tptp.aa_real_real tptp.abs_abs_real X3) tptp.one_one_real))))
% 16.06/16.29 (assume a6730 (forall ((X3 tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int) (= (tptp.aa_int_int tptp.abs_abs_int X3) tptp.one_one_int))))
% 16.06/16.29 (assume a6731 (forall ((N tptp.nat) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A)) N) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)))))
% 16.06/16.29 (assume a6732 (forall ((N tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) N) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 16.06/16.29 (assume a6733 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N) (tptp.aa_nat_real (tptp.power_power_real A) N)))))
% 16.06/16.29 (assume a6734 (forall ((N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) N) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 16.06/16.29 (assume a6735 (forall ((Y tptp.code_integer) (X3 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) Y)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer X3)) Y))))))
% 16.06/16.29 (assume a6736 (forall ((Y tptp.real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X3)) Y))))))
% 16.06/16.29 (assume a6737 (forall ((Y tptp.rat) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat X3)) Y))))))
% 16.06/16.29 (assume a6738 (forall ((Y tptp.int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int X3)) Y))))))
% 16.06/16.29 (assume a6739 (forall ((P tptp.fun_Co8310303586393106575r_bool) (X3 tptp.code_integer)) (=> (forall ((X5 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) X5)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool P X5) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X5) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool P (tptp.abs_abs_Code_integer X3)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a6740 (forall ((P tptp.fun_re1255401033344146673l_bool) (X3 tptp.real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P X5) (tptp.aa_nat_real (tptp.power_power_real X5) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P (tptp.aa_real_real tptp.abs_abs_real X3)) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a6741 (forall ((P tptp.fun_rat_fun_rat_bool) (X3 tptp.rat)) (=> (forall ((X5 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P X5) (tptp.aa_nat_rat (tptp.power_power_rat X5) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P (tptp.aa_rat_rat tptp.abs_abs_rat X3)) (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a6742 (forall ((P tptp.fun_int_fun_int_bool) (X3 tptp.int)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P X5) (tptp.aa_nat_int (tptp.power_power_int X5) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P (tptp.aa_int_int tptp.abs_abs_int X3)) (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a6743 (forall ((X3 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer X3)) tptp.one_one_Code_integer)))))
% 16.06/16.29 (assume a6744 (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X3)) tptp.one_one_real)))))
% 16.06/16.29 (assume a6745 (forall ((X3 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat X3)) tptp.one_one_rat)))))
% 16.06/16.29 (assume a6746 (forall ((X3 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int X3)) tptp.one_one_int)))))
% 16.06/16.29 (assume a6747 (forall ((X3 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer X3)) tptp.one_one_Code_integer)))))
% 16.06/16.29 (assume a6748 (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X3)) tptp.one_one_real)))))
% 16.06/16.29 (assume a6749 (forall ((X3 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat X3)) tptp.one_one_rat)))))
% 16.06/16.29 (assume a6750 (forall ((X3 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int X3)) tptp.one_one_int)))))
% 16.06/16.29 (assume a6751 (forall ((N tptp.nat) (A tptp.code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer B))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger A) N)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger B) N)))))))
% 16.06/16.29 (assume a6752 (forall ((N tptp.nat) (A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.power_power_real B) N)))))))
% 16.06/16.29 (assume a6753 (forall ((N tptp.nat) (A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B) N)))))))
% 16.06/16.29 (assume a6754 (forall ((N tptp.nat) (A tptp.int) (B tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B) N)))))))
% 16.06/16.29 (assume a6755 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.divmod_nat M2 N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) N)))))
% 16.06/16.29 (assume a6756 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) X3))) X3))) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a6757 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X3)) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) X3))) X3))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a6758 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real tptp.tanh_real (tptp.aa_real_real tptp.ln_ln_real X3)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))))
% 16.06/16.29 (assume a6759 (forall ((X3 tptp.int) (Xa2 tptp.int) (Y tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int X3) Xa2) Y) (and (=> (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa2) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))))) (= Y (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X3))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Xa2))))))) (=> (not (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa2) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))))) (= Y (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X3))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Xa2))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int X3) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int Xa2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 16.06/16.29 (assume a6760 (forall ((K2 tptp.int) (L tptp.int)) (and (=> (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int K2) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int L) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int K2) L) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))))) (=> (not (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int K2) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int L) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int K2) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.06/16.29 (assume a6761 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X3)) tptp.one_one_real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.arctan X3)) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a6762 (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 tptp.one))))
% 16.06/16.29 (assume a6763 (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))))
% 16.06/16.29 (assume a6764 (= (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit1 tptp.one))))
% 16.06/16.29 (assume a6765 (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 tptp.one))))
% 16.06/16.29 (assume a6766 (forall ((M2 tptp.num)) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bitM M2) (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) tptp.one_one_int)) tptp.one_one_int))))
% 16.06/16.29 (assume a6767 (forall ((K2 tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex (tptp.numera6690914467698888265omplex K2)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 K2)))))
% 16.06/16.29 (assume a6768 (forall ((K2 tptp.num)) (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real (tptp.aa_num_real tptp.numeral_numeral_real K2)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 K2)))))
% 16.06/16.29 (assume a6769 (forall ((K2 tptp.num)) (= (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit1 K2)))))
% 16.06/16.29 (assume a6770 (forall ((K2 tptp.num)) (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int (tptp.aa_num_int tptp.numeral_numeral_int K2)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K2)))))
% 16.06/16.29 (assume a6771 (forall ((K2 tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex (tptp.numera6690914467698888265omplex K2)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bitM K2)))))
% 16.06/16.29 (assume a6772 (forall ((K2 tptp.num)) (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real (tptp.aa_num_real tptp.numeral_numeral_real K2)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bitM K2)))))
% 16.06/16.29 (assume a6773 (forall ((K2 tptp.num)) (= (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bitM K2)))))
% 16.06/16.29 (assume a6774 (forall ((K2 tptp.num)) (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int (tptp.aa_num_int tptp.numeral_numeral_int K2)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bitM K2)))))
% 16.06/16.29 (assume a6775 (forall ((Y tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) tptp.one_one_int)))
% 16.06/16.29 (assume a6776 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) tptp.one_one_nat)))
% 16.06/16.29 (assume a6777 (forall ((X3 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X3))) tptp.one_one_int) tptp.one_one_int)))
% 16.06/16.29 (assume a6778 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3))) tptp.one_one_nat) tptp.one_one_nat)))
% 16.06/16.29 (assume a6779 (forall ((K2 tptp.num)) (= (tptp.aa_num_nat tptp.pred_numeral (tptp.aa_num_num tptp.bit0 K2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bitM K2)))))
% 16.06/16.29 (assume a6780 (forall ((K2 tptp.num)) (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int (tptp.aa_num_int tptp.numeral_numeral_int K2))))))
% 16.06/16.29 (assume a6781 (forall ((K2 tptp.num)) (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real K2))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real (tptp.aa_num_real tptp.numeral_numeral_real K2))))))
% 16.06/16.29 (assume a6782 (forall ((K2 tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex K2))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex (tptp.numera6690914467698888265omplex K2))))))
% 16.06/16.29 (assume a6783 (forall ((K2 tptp.num)) (= (tptp.neg_nu7757733837767384882nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger K2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.neg_nu5831290666863070958nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger K2))))))
% 16.06/16.29 (assume a6784 (forall ((K2 tptp.num)) (= (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2))))))
% 16.06/16.29 (assume a6785 (forall ((K2 tptp.num)) (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int (tptp.aa_num_int tptp.numeral_numeral_int K2))))))
% 16.06/16.29 (assume a6786 (forall ((K2 tptp.num)) (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real K2))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real (tptp.aa_num_real tptp.numeral_numeral_real K2))))))
% 16.06/16.29 (assume a6787 (forall ((K2 tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex K2))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex (tptp.numera6690914467698888265omplex K2))))))
% 16.06/16.29 (assume a6788 (forall ((K2 tptp.num)) (= (tptp.neg_nu5831290666863070958nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger K2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.neg_nu7757733837767384882nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger K2))))))
% 16.06/16.29 (assume a6789 (forall ((K2 tptp.num)) (= (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2))))))
% 16.06/16.29 (assume a6790 (forall ((X3 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X3))) tptp.one_one_int) tptp.zero_zero_int)))
% 16.06/16.29 (assume a6791 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X3))) tptp.one_one_nat) tptp.zero_zero_nat)))
% 16.06/16.29 (assume a6792 (forall ((Y tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) tptp.zero_zero_int)))
% 16.06/16.29 (assume a6793 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) tptp.zero_zero_nat)))
% 16.06/16.29 (assume a6794 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X3))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 16.06/16.29 (assume a6795 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 16.06/16.29 (assume a6796 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) tptp.one_one_int) tptp.one_one_int)))
% 16.06/16.29 (assume a6797 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) tptp.one_one_int)))
% 16.06/16.29 (assume a6798 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X3))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 16.06/16.29 (assume a6799 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 16.06/16.29 (assume a6800 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X3))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 16.06/16.29 (assume a6801 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 16.06/16.29 (assume a6802 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) tptp.one_one_int) tptp.zero_zero_int)))
% 16.06/16.29 (assume a6803 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) tptp.zero_zero_int)))
% 16.06/16.29 (assume a6804 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X3))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) (tptp.aa_num_int tptp.numeral_numeral_int Y)))))))
% 16.06/16.29 (assume a6805 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y)))))))
% 16.06/16.29 (assume a6806 (= (tptp.aa_num_num tptp.bitM tptp.one) tptp.one))
% 16.06/16.29 (assume a6807 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.bitM (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 N)))))
% 16.06/16.29 (assume a6808 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.bitM (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bitM N)))))
% 16.06/16.29 (assume a6809 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.inc (tptp.aa_num_num tptp.bitM N)) (tptp.aa_num_num tptp.bit0 N))))
% 16.06/16.29 (assume a6810 (forall ((N tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bitM N))))))
% 16.06/16.29 (assume a6811 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se3949692690581998587nteger A B))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.29 (assume a6812 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int A) B))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.29 (assume a6813 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.29 (assume a6814 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.bitM N)) tptp.one) (tptp.aa_num_num tptp.bit0 N))))
% 16.06/16.29 (assume a6815 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num tptp.one) (tptp.aa_num_num tptp.bitM N)) (tptp.aa_num_num tptp.bit0 N))))
% 16.06/16.29 (assume a6816 (forall ((K2 tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int K2) L))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))))
% 16.06/16.29 (assume a6817 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex X3) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) X3)) tptp.one_one_complex))))
% 16.06/16.29 (assume a6818 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real X3) X3)) tptp.one_one_real))))
% 16.06/16.29 (assume a6819 (forall ((X3 tptp.rat)) (= (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) X3)) tptp.one_one_rat))))
% 16.06/16.29 (assume a6820 (forall ((X3 tptp.int)) (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) X3)) tptp.one_one_int))))
% 16.06/16.29 (assume a6821 (forall ((A tptp.code_integer)) (= (tptp.bit_se3949692690581998587nteger A tptp.one_one_Code_integer) (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6822 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int A) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6823 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6824 (forall ((A tptp.code_integer)) (= (tptp.bit_se3949692690581998587nteger tptp.one_one_Code_integer A) (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6825 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int tptp.one_one_int) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6826 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat tptp.one_one_nat) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6827 (forall ((N tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bitM N)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 N))) tptp.one_one_complex))))
% 16.06/16.29 (assume a6828 (forall ((N tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bitM N)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 N))) tptp.one_one_real))))
% 16.06/16.29 (assume a6829 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bitM N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 N))) tptp.one_one_rat))))
% 16.06/16.29 (assume a6830 (forall ((N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bitM N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) tptp.one_one_int))))
% 16.06/16.29 (assume a6831 (forall ((W tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bitM W)))))))
% 16.06/16.29 (assume a6832 (forall ((W tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bitM W)))))))
% 16.06/16.29 (assume a6833 (forall ((W tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bitM W)))))))
% 16.06/16.29 (assume a6834 (forall ((K2 tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int K2)) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) L))))))
% 16.06/16.29 (assume a6835 (forall ((K2 tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) (tptp.aa_int_int tptp.abs_abs_int L)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) L))))))
% 16.06/16.29 (assume a6836 (forall ((M2 tptp.nat) (N tptp.nat) (F tptp.fun_nat_int) (K2 tptp.int)) (=> (forall ((I3 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) I3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc I3))) (tptp.aa_nat_int F I3)))) tptp.one_one_int)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F M2)) K2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K2) (tptp.aa_nat_int F N))) (exists ((I3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) I3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I3) N)) (= (tptp.aa_nat_int F I3) K2)))))))))
% 16.06/16.29 (assume a6837 (forall ((K2 tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int K2) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a6838 (forall ((N tptp.nat) (F tptp.fun_nat_int) (K2 tptp.int)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc I3))) (tptp.aa_nat_int F I3)))) tptp.one_one_int)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F tptp.zero_zero_nat)) K2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K2) (tptp.aa_nat_int F N))) (exists ((I3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I3) N)) (= (tptp.aa_nat_int F I3) K2))))))))
% 16.06/16.29 (assume a6839 (forall ((N tptp.nat) (F tptp.fun_nat_int) (K2 tptp.int)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I3) tptp.one_one_nat))) (tptp.aa_nat_int F I3)))) tptp.one_one_int)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F tptp.zero_zero_nat)) K2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K2) (tptp.aa_nat_int F N))) (exists ((I3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I3) N)) (= (tptp.aa_nat_int F I3) K2))))))))
% 16.06/16.29 (assume a6840 (forall ((K2 tptp.int) (L tptp.int)) (and (=> (or (= K2 tptp.zero_zero_int) (= L tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int K2) L) tptp.zero_zero_int)) (=> (not (or (= K2 tptp.zero_zero_int) (= L tptp.zero_zero_int))) (and (=> (= K2 (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int K2) L) L)) (=> (not (= K2 (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (and (=> (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int K2) L) K2)) (=> (not (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int K2) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))))
% 16.06/16.29 (assume a6841 (forall ((K2 tptp.int) (L tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int K2) L))) (and (=> (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int K2) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int L) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int K2) L) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))))) (=> (not (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int K2) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int L) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int K2) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 16.06/16.29 (assume a6842 (forall ((X3 tptp.int) (Xa2 tptp.int) (Y tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int X3) Xa2) Y) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X3) Xa2))) (not (=> (and (=> (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa2) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))))) (= Y (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X3))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Xa2))))))) (=> (not (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Xa2) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))))) (= Y (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X3))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Xa2))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int X3) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int Xa2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (not (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X3) Xa2))))))))))
% 16.06/16.29 (assume a6843 (forall ((K2 tptp.int)) (and (=> (= K2 tptp.zero_zero_int) (= (tptp.aa_int_int tptp.ring_1_of_int_int K2) tptp.zero_zero_int)) (=> (not (= K2 tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int K2) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int tptp.uminus_uminus_int K2))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int))) (= (tptp.aa_int_int tptp.ring_1_of_int_int K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.one_one_int)))))))))
% 16.06/16.29 (assume a6844 (forall ((K2 tptp.int)) (and (=> (= K2 tptp.zero_zero_int) (= (tptp.aa_int_real tptp.ring_1_of_int_real K2) tptp.zero_zero_real)) (=> (not (= K2 tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real K2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int tptp.uminus_uminus_int K2))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int))) (= (tptp.aa_int_real tptp.ring_1_of_int_real K2) (tptp.aa_real_real (tptp.if_real (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.one_one_real)))))))))
% 16.06/16.29 (assume a6845 (forall ((K2 tptp.int)) (and (=> (= K2 tptp.zero_zero_int) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex K2) tptp.zero_zero_complex)) (=> (not (= K2 tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex K2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_int_int tptp.uminus_uminus_int K2))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int))) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex K2) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.one_one_complex)))))))))
% 16.06/16.29 (assume a6846 (forall ((K2 tptp.int)) (and (=> (= K2 tptp.zero_zero_int) (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger K2) tptp.zero_z3403309356797280102nteger)) (=> (not (= K2 tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int)) (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger K2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger (tptp.aa_int_int tptp.uminus_uminus_int K2))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int))) (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger K2) (tptp.if_Code_integer (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_Code_integer)))))))))
% 16.06/16.29 (assume a6847 (forall ((K2 tptp.int)) (and (=> (= K2 tptp.zero_zero_int) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat K2) tptp.zero_zero_rat)) (=> (not (= K2 tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat K2) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int tptp.uminus_uminus_int K2))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int))) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat K2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.one_one_rat)))))))))
% 16.06/16.29 (assume a6848 (forall ((N tptp.nat) (K2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K2) N)))))))
% 16.06/16.29 (assume a6849 (forall ((N tptp.num)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_num_nat tptp.pred_numeral N)))))))
% 16.06/16.29 (assume a6850 (forall ((N tptp.num)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_num_nat tptp.pred_numeral N)))))))
% 16.06/16.29 (assume a6851 (forall ((X32 tptp.num)) (= (tptp.aa_num_nat tptp.size_num (tptp.aa_num_num tptp.bit1 X32)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.size_num X32)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a6852 (forall ((Z tptp.int) (N tptp.num)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Z) (tptp.numera6690914467698888265omplex N)) (= Z (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.29 (assume a6853 (forall ((Z tptp.int) (N tptp.num)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Z) (tptp.aa_num_real tptp.numeral_numeral_real N)) (= Z (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.29 (assume a6854 (forall ((Z tptp.int) (N tptp.num)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat Z) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (= Z (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.29 (assume a6855 (forall ((Z tptp.int) (N tptp.num)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N)) (= Z (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.29 (assume a6856 (forall ((K2 tptp.num)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_num_int tptp.numeral_numeral_int K2)) (tptp.numera6690914467698888265omplex K2))))
% 16.06/16.29 (assume a6857 (forall ((K2 tptp.num)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_num_int tptp.numeral_numeral_int K2)) (tptp.aa_num_real tptp.numeral_numeral_real K2))))
% 16.06/16.29 (assume a6858 (forall ((K2 tptp.num)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_num_int tptp.numeral_numeral_int K2)) (tptp.aa_num_rat tptp.numeral_numeral_rat K2))))
% 16.06/16.29 (assume a6859 (forall ((K2 tptp.num)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_num_int tptp.numeral_numeral_int K2)) (tptp.aa_num_int tptp.numeral_numeral_int K2))))
% 16.06/16.29 (assume a6860 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real W)) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z)))))
% 16.06/16.29 (assume a6861 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat W)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z)))))
% 16.06/16.29 (assume a6862 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int W)) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z)))))
% 16.06/16.29 (assume a6863 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.ring_1_of_int_int W)) (tptp.aa_int_int tptp.ring_1_of_int_int Z)))))
% 16.06/16.29 (assume a6864 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) Z)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real W)) (tptp.aa_int_real tptp.ring_1_of_int_real Z)))))
% 16.06/16.29 (assume a6865 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat W)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)))))
% 16.06/16.29 (assume a6866 (forall ((Z tptp.int) (N tptp.nat)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_nat_int (tptp.power_power_int Z) N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) N))))
% 16.06/16.29 (assume a6867 (forall ((Z tptp.int) (N tptp.nat)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_nat_int (tptp.power_power_int Z) N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) N))))
% 16.06/16.29 (assume a6868 (forall ((Z tptp.int) (N tptp.nat)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_nat_int (tptp.power_power_int Z) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) N))))
% 16.06/16.29 (assume a6869 (forall ((Z tptp.int) (N tptp.nat)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_nat_int (tptp.power_power_int Z) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Z)) N))))
% 16.06/16.29 (assume a6870 (forall ((B tptp.int) (W tptp.nat) (X3 tptp.int)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B)) W) (tptp.aa_int_rat tptp.ring_1_of_int_rat X3)) (= (tptp.aa_nat_int (tptp.power_power_int B) W) X3))))
% 16.06/16.29 (assume a6871 (forall ((B tptp.int) (W tptp.nat) (X3 tptp.int)) (= (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W) (tptp.aa_int_real tptp.ring_1_of_int_real X3)) (= (tptp.aa_nat_int (tptp.power_power_int B) W) X3))))
% 16.06/16.29 (assume a6872 (forall ((B tptp.int) (W tptp.nat) (X3 tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W) (tptp.aa_int_int tptp.ring_1_of_int_int X3)) (= (tptp.aa_nat_int (tptp.power_power_int B) W) X3))))
% 16.06/16.29 (assume a6873 (forall ((B tptp.int) (W tptp.nat) (X3 tptp.int)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex B)) W) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex X3)) (= (tptp.aa_nat_int (tptp.power_power_int B) W) X3))))
% 16.06/16.29 (assume a6874 (forall ((X3 tptp.int) (B tptp.int) (W tptp.nat)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat X3) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B)) W)) (= X3 (tptp.aa_nat_int (tptp.power_power_int B) W)))))
% 16.06/16.29 (assume a6875 (forall ((X3 tptp.int) (B tptp.int) (W tptp.nat)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real X3) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W)) (= X3 (tptp.aa_nat_int (tptp.power_power_int B) W)))))
% 16.06/16.29 (assume a6876 (forall ((X3 tptp.int) (B tptp.int) (W tptp.nat)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int X3) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W)) (= X3 (tptp.aa_nat_int (tptp.power_power_int B) W)))))
% 16.06/16.29 (assume a6877 (forall ((X3 tptp.int) (B tptp.int) (W tptp.nat)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex X3) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex B)) W)) (= X3 (tptp.aa_nat_int (tptp.power_power_int B) W)))))
% 16.06/16.29 (assume a6878 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X3))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.zero_zero_nat)))
% 16.06/16.29 (assume a6879 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) tptp.zero_zero_nat)))
% 16.06/16.29 (assume a6880 (forall ((M2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) N)))))
% 16.06/16.29 (assume a6881 (forall ((M2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) N)))))
% 16.06/16.29 (assume a6882 (forall ((M2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) N)))))
% 16.06/16.29 (assume a6883 (forall ((M2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) N)))))
% 16.06/16.29 (assume a6884 (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat))
% 16.06/16.29 (assume a6885 (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_int))
% 16.06/16.29 (assume a6886 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.zero_zero_int)))))
% 16.06/16.29 (assume a6887 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.zero_zero_int)))))
% 16.06/16.29 (assume a6888 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.zero_zero_int)))))
% 16.06/16.29 (assume a6889 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)))))
% 16.06/16.29 (assume a6890 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)))))
% 16.06/16.29 (assume a6891 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)))))
% 16.06/16.29 (assume a6892 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int N)) Z)))))
% 16.06/16.29 (assume a6893 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int N)) Z)))))
% 16.06/16.29 (assume a6894 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int N)) Z)))))
% 16.06/16.29 (assume a6895 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.06/16.29 (assume a6896 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.06/16.29 (assume a6897 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.06/16.29 (assume a6898 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) tptp.one_one_nat)))
% 16.06/16.29 (assume a6899 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat)))
% 16.06/16.29 (assume a6900 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.06/16.29 (assume a6901 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.06/16.29 (assume a6902 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 16.06/16.29 (assume a6903 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int N)) Z)))))
% 16.06/16.29 (assume a6904 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int N)) Z)))))
% 16.06/16.29 (assume a6905 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int N)) Z)))))
% 16.06/16.29 (assume a6906 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.one_one_int)))))
% 16.06/16.29 (assume a6907 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.one_one_int)))))
% 16.06/16.29 (assume a6908 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.one_one_int)))))
% 16.06/16.29 (assume a6909 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) Z)))))
% 16.06/16.29 (assume a6910 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) Z)))))
% 16.06/16.29 (assume a6911 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) Z)))))
% 16.06/16.29 (assume a6912 (forall ((Y tptp.int) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X3)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)))))
% 16.06/16.29 (assume a6913 (forall ((Y tptp.int) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Y) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)))))
% 16.06/16.29 (assume a6914 (forall ((Y tptp.int) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat Y) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)))))
% 16.06/16.29 (assume a6915 (forall ((Y tptp.int) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)))))
% 16.06/16.29 (assume a6916 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X3)) N) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N) Y))))
% 16.06/16.29 (assume a6917 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) N) (tptp.aa_int_real tptp.ring_1_of_int_real Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N) Y))))
% 16.06/16.29 (assume a6918 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) N) (tptp.aa_int_rat tptp.ring_1_of_int_rat Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N) Y))))
% 16.06/16.29 (assume a6919 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N) (tptp.aa_int_int tptp.ring_1_of_int_int Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N) Y))))
% 16.06/16.29 (assume a6920 (forall ((X3 tptp.int) (B tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real X3)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_nat_int (tptp.power_power_int B) W))))))
% 16.06/16.29 (assume a6921 (forall ((X3 tptp.int) (B tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat X3)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_nat_int (tptp.power_power_int B) W))))))
% 16.06/16.29 (assume a6922 (forall ((X3 tptp.int) (B tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int X3)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_nat_int (tptp.power_power_int B) W))))))
% 16.06/16.29 (assume a6923 (forall ((B tptp.int) (W tptp.nat) (X3 tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W)) (tptp.aa_int_real tptp.ring_1_of_int_real X3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int B) W)) X3)))))
% 16.06/16.29 (assume a6924 (forall ((B tptp.int) (W tptp.nat) (X3 tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B)) W)) (tptp.aa_int_rat tptp.ring_1_of_int_rat X3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int B) W)) X3)))))
% 16.06/16.29 (assume a6925 (forall ((B tptp.int) (W tptp.nat) (X3 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W)) (tptp.aa_int_int tptp.ring_1_of_int_int X3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int B) W)) X3)))))
% 16.06/16.29 (assume a6926 (forall ((B tptp.int) (W tptp.nat) (X3 tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W)) (tptp.aa_int_real tptp.ring_1_of_int_real X3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B) W)) X3)))))
% 16.06/16.29 (assume a6927 (forall ((B tptp.int) (W tptp.nat) (X3 tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B)) W)) (tptp.aa_int_rat tptp.ring_1_of_int_rat X3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B) W)) X3)))))
% 16.06/16.29 (assume a6928 (forall ((B tptp.int) (W tptp.nat) (X3 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W)) (tptp.aa_int_int tptp.ring_1_of_int_int X3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B) W)) X3)))))
% 16.06/16.29 (assume a6929 (forall ((X3 tptp.int) (B tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real X3)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) (tptp.aa_nat_int (tptp.power_power_int B) W))))))
% 16.06/16.29 (assume a6930 (forall ((X3 tptp.int) (B tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat X3)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) (tptp.aa_nat_int (tptp.power_power_int B) W))))))
% 16.06/16.29 (assume a6931 (forall ((X3 tptp.int) (B tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int X3)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) (tptp.aa_nat_int (tptp.power_power_int B) W))))))
% 16.06/16.29 (assume a6932 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int W)) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 16.06/16.29 (assume a6933 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 16.06/16.29 (assume a6934 (forall ((W tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W)))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) N)))))
% 16.06/16.29 (assume a6935 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int W)) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 16.06/16.29 (assume a6936 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 16.06/16.29 (assume a6937 (forall ((W tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 W)))) (tptp.aa_nat_nat tptp.suc N))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int W)) N))))))
% 16.06/16.29 (assume a6938 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) tptp.zero_zero_nat)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.29 (assume a6939 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) tptp.zero_zero_nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.29 (assume a6940 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) tptp.zero_zero_nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.29 (assume a6941 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6942 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a6943 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W)))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 16.06/16.29 (assume a6944 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 W)))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int W)) (tptp.aa_num_nat tptp.pred_numeral N)))))))
% 16.06/16.29 (assume a6945 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.modulo364778990260209775nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (and (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 16.06/16.29 (assume a6946 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (and (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 16.06/16.29 (assume a6947 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (and (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 16.06/16.29 (assume a6948 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))))))
% 16.06/16.29 (assume a6949 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))))))
% 16.06/16.29 (assume a6950 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))))))
% 16.06/16.29 (assume a6951 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) N)) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)) A)))))
% 16.06/16.29 (assume a6952 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)) A)))))
% 16.06/16.29 (assume a6953 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)) (tptp.aa_int_int tptp.ring_1_of_int_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)) A)))))
% 16.06/16.29 (assume a6954 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))))))
% 16.06/16.29 (assume a6955 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))))))
% 16.06/16.29 (assume a6956 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))))))
% 16.06/16.29 (assume a6957 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) N)) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)) A)))))
% 16.06/16.29 (assume a6958 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)) A)))))
% 16.06/16.29 (assume a6959 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)) (tptp.aa_int_int tptp.ring_1_of_int_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)) A)))))
% 16.06/16.29 (assume a6960 (forall ((Y tptp.int) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)))))
% 16.06/16.29 (assume a6961 (forall ((Y tptp.int) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Y) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X3))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)))))
% 16.06/16.29 (assume a6962 (forall ((Y tptp.int) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex X3))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)))))
% 16.06/16.29 (assume a6963 (forall ((Y tptp.int) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger Y) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger X3))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)))))
% 16.06/16.29 (assume a6964 (forall ((Y tptp.int) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat Y) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)))))
% 16.06/16.29 (assume a6965 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N) (tptp.aa_int_int tptp.ring_1_of_int_int Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N) Y))))
% 16.06/16.29 (assume a6966 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X3))) N) (tptp.aa_int_real tptp.ring_1_of_int_real Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N) Y))))
% 16.06/16.29 (assume a6967 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex X3))) N) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N) Y))))
% 16.06/16.29 (assume a6968 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger X3))) N) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N) Y))))
% 16.06/16.29 (assume a6969 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3))) N) (tptp.aa_int_rat tptp.ring_1_of_int_rat Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N) Y))))
% 16.06/16.29 (assume a6970 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X3))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N))))))
% 16.06/16.29 (assume a6971 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger A)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger X3))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N))))))
% 16.06/16.29 (assume a6972 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N))))))
% 16.06/16.29 (assume a6973 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N))))))
% 16.06/16.29 (assume a6974 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X3))) N)) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)) A)))))
% 16.06/16.29 (assume a6975 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger X3))) N)) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)) A)))))
% 16.06/16.29 (assume a6976 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3))) N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)) A)))))
% 16.06/16.29 (assume a6977 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)) (tptp.aa_int_int tptp.ring_1_of_int_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)) A)))))
% 16.06/16.29 (assume a6978 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)) (tptp.aa_int_int tptp.ring_1_of_int_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)) A)))))
% 16.06/16.29 (assume a6979 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X3))) N)) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)) A)))))
% 16.06/16.29 (assume a6980 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger X3))) N)) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)) A)))))
% 16.06/16.29 (assume a6981 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3))) N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N)) A)))))
% 16.06/16.29 (assume a6982 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N))))))
% 16.06/16.29 (assume a6983 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X3))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N))))))
% 16.06/16.29 (assume a6984 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger A)) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger X3))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N))))))
% 16.06/16.29 (assume a6985 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X3))) N))))))
% 16.06/16.29 (assume a6986 (forall ((M2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) N)))))
% 16.06/16.29 (assume a6987 (forall ((M2 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) N)))))
% 16.06/16.29 (assume a6988 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (=> (forall ((N2 tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B) N2))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B) N)))))))
% 16.06/16.29 (assume a6989 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (=> (forall ((N2 tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat B) N2))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat B) N)))))))
% 16.06/16.29 (assume a6990 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)))))
% 16.06/16.29 (assume a6991 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int tptp.one_one_int) (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.29 (assume a6992 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat tptp.one_one_nat) (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.29 (assume a6993 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int tptp.one_one_int) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.06/16.29 (assume a6994 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.06/16.29 (assume a6995 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N))))))
% 16.06/16.29 (assume a6996 (forall ((Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real tptp.ring_1_of_int_real Z))))))
% 16.06/16.29 (assume a6997 (forall ((Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))))))
% 16.06/16.29 (assume a6998 (forall ((Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.ring_1_of_int_int Z))))))
% 16.06/16.29 (assume a6999 (forall ((N tptp.int) (X3 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger N))) X3)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.one_one_Code_integer) X3))))))
% 16.06/16.29 (assume a7000 (forall ((N tptp.int) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_int_real tptp.ring_1_of_int_real N))) X3)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X3))))))
% 16.06/16.29 (assume a7001 (forall ((N tptp.int) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat N))) X3)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) X3))))))
% 16.06/16.29 (assume a7002 (forall ((N tptp.int) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.ring_1_of_int_int N))) X3)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) X3))))))
% 16.06/16.29 (assume a7003 (forall ((K2 tptp.num)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2)))))
% 16.06/16.29 (assume a7004 (forall ((K2 tptp.num)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real K2)))))
% 16.06/16.29 (assume a7005 (forall ((K2 tptp.num)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex K2)))))
% 16.06/16.29 (assume a7006 (forall ((K2 tptp.num)) (= (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger K2)))))
% 16.06/16.29 (assume a7007 (forall ((K2 tptp.num)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2)))))
% 16.06/16.29 (assume a7008 (forall ((M2 tptp.nat) (K2 tptp.int) (L tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.bit_concat_bit M2) K2) L)) N)) (or (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K2) N))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int L) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2))))))))
% 16.06/16.29 (assume a7009 (forall ((N tptp.nat) (A tptp.int)) (=> (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_int) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N))))))
% 16.06/16.29 (assume a7010 (forall ((N tptp.nat) (A tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N))))))
% 16.06/16.29 (assume a7011 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) N)))))
% 16.06/16.29 (assume a7012 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) N)))))
% 16.06/16.29 (assume a7013 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (= (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 16.06/16.29 (assume a7014 (forall ((A tptp.int) (N tptp.nat)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 16.06/16.29 (assume a7015 (forall ((A tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 16.06/16.29 (assume a7016 (forall ((A tptp.code_integer)) (=> (forall ((N2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N2)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))) (= (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))
% 16.06/16.29 (assume a7017 (forall ((A tptp.int)) (=> (forall ((N2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))
% 16.06/16.29 (assume a7018 (forall ((A tptp.nat)) (=> (forall ((N2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))
% 16.06/16.29 (assume a7019 (forall ((K2 tptp.int)) (not (forall ((N2 tptp.nat)) (=> (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N2) M3)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K2) M3)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K2) N2))))) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N2) tptp.one_one_nat))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K2) N2)))))))))))
% 16.06/16.29 (assume a7020 (= (tptp.aa_num_nat tptp.size_num tptp.one) tptp.zero_zero_nat))
% 16.06/16.29 (assume a7021 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.06/16.29 (assume a7022 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.06/16.29 (assume a7023 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.06/16.29 (assume a7024 (forall ((A tptp.int) (N tptp.nat)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.zero_zero_int) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N))))))
% 16.06/16.29 (assume a7025 (forall ((A tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N))))))
% 16.06/16.29 (assume a7026 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))
% 16.06/16.29 (assume a7027 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.29 (assume a7028 (forall ((K2 tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_Code_integer tptp.ring_18347121197199848620nteger K2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2)))))
% 16.06/16.29 (assume a7029 (forall ((K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.ring_1_of_int_int K2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2)))))
% 16.06/16.29 (assume a7030 (forall ((K2 tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K2) N)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.06/16.29 (assume a7031 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer tptp.bit_se2119862282449309892nteger N))) (= N tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7032 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N))) (= N tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7033 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N))) (= N tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7034 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer A)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (= N tptp.zero_zero_nat))))))
% 16.06/16.29 (assume a7035 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) A)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (= N tptp.zero_zero_nat))))))
% 16.06/16.29 (assume a7036 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) A)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (= N tptp.zero_zero_nat))))))
% 16.06/16.29 (assume a7037 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.minus_8373710615458151222nteger A tptp.one_one_Code_integer)) N)) (= N tptp.zero_zero_nat))))))
% 16.06/16.29 (assume a7038 (forall ((A tptp.int) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) tptp.one_one_int)) N)) (= N tptp.zero_zero_nat))))))
% 16.06/16.29 (assume a7039 (forall ((A tptp.nat) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) tptp.one_one_nat)) N)) (= N tptp.zero_zero_nat))))))
% 16.06/16.29 (assume a7040 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))
% 16.06/16.29 (assume a7041 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))
% 16.06/16.29 (assume a7042 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int))))
% 16.06/16.29 (assume a7043 (forall ((N tptp.nat) (K2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se7879613467334960850it_int N) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K2) N)))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.29 (assume a7044 (forall ((N tptp.nat) (K2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se4203085406695923979it_int N) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K2) N))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.29 (assume a7045 (forall ((A tptp.code_integer) (B tptp.code_integer) (N tptp.nat)) (=> (forall ((J2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) (tptp.aa_nat_nat tptp.suc J2))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B)) N))))))))
% 16.06/16.29 (assume a7046 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (=> (forall ((J2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) (tptp.aa_nat_nat tptp.suc J2))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B)) N))))))))
% 16.06/16.29 (assume a7047 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (=> (forall ((J2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) (tptp.aa_nat_nat tptp.suc J2))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B)) N))))))))
% 16.06/16.29 (assume a7048 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.divide6298287555418463151nteger A (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))))
% 16.06/16.29 (assume a7049 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))))
% 16.06/16.29 (assume a7050 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))))
% 16.06/16.29 (assume a7051 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))
% 16.06/16.29 (assume a7052 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int))))
% 16.06/16.29 (assume a7053 (forall ((M2 tptp.nat) (N tptp.nat)) (and (=> (or (= M2 tptp.zero_zero_nat) (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M2) N) tptp.zero_zero_nat)) (=> (not (or (= M2 tptp.zero_zero_nat) (= N tptp.zero_zero_nat))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M2) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.06/16.29 (assume a7054 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M2) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7055 (forall ((A0 tptp.int) (A1 tptp.int) (P tptp.fun_int_fun_int_bool)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A0) A1))) (=> (forall ((K tptp.int) (L3 tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int K) L3))) (=> (=> (not (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int K) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int L3) (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L3) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P K) L3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A0) A1))))))
% 16.06/16.29 (assume a7056 (forall ((N tptp.nat) (K2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K2) N)))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2)))))
% 16.06/16.29 (assume a7057 (forall ((N tptp.nat) (K2 tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K2) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) tptp.one_one_int))))))
% 16.06/16.29 (assume a7058 (forall ((X2 tptp.num)) (= (tptp.aa_num_nat tptp.size_num (tptp.aa_num_num tptp.bit0 X2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.size_num X2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a7059 (forall ((X3 tptp.real)) (exists ((X5 tptp.int)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real X5)) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X5) tptp.one_one_int)))) (forall ((Y5 tptp.int)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Y5)) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Y5) tptp.one_one_int))))) (= Y5 X5)))))))
% 16.06/16.29 (assume a7060 (forall ((X3 tptp.rat)) (exists ((X5 tptp.int)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat X5)) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X5) tptp.one_one_int)))) (forall ((Y5 tptp.int)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Y5)) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Y5) tptp.one_one_int))))) (= Y5 X5)))))))
% 16.06/16.29 (assume a7061 (forall ((X3 tptp.real)) (exists ((Z2 tptp.int)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z2)) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z2) tptp.one_one_int))))))))
% 16.06/16.29 (assume a7062 (forall ((X3 tptp.rat)) (exists ((Z2 tptp.int)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z2)) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z2) tptp.one_one_int))))))))
% 16.06/16.29 (assume a7063 (forall ((A0 tptp.int) (A1 tptp.int) (P tptp.fun_int_fun_int_bool)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A0) A1))) (=> (forall ((I3 tptp.int) (J2 tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int I3) J2))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I3) J2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I3) tptp.one_one_int)) J2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P I3) J2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A0) A1))))))
% 16.06/16.29 (assume a7064 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.tanh_real X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)))) (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)))))))
% 16.06/16.29 (assume a7065 (forall ((K2 tptp.num) (L tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex K2)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow K2) L)))))
% 16.06/16.29 (assume a7066 (forall ((K2 tptp.num) (L tptp.num)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real K2)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow K2) L)))))
% 16.06/16.29 (assume a7067 (forall ((K2 tptp.num) (L tptp.num)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow K2) L)))))
% 16.06/16.29 (assume a7068 (forall ((K2 tptp.num) (L tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow K2) L)))))
% 16.06/16.29 (assume a7069 (forall ((K2 tptp.num) (L tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int K2)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow K2) L)))))
% 16.06/16.29 (assume a7070 (forall ((K2 tptp.int) (L tptp.int)) (and (=> (or (= K2 (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int K2) L) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (=> (not (or (= K2 (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))) (and (=> (= K2 tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int K2) L) L)) (=> (not (= K2 tptp.zero_zero_int)) (and (=> (= L tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int K2) L) K2)) (=> (not (= L tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int K2) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))))
% 16.06/16.29 (assume a7071 (forall ((Y tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y)))))
% 16.06/16.29 (assume a7072 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y)))))
% 16.06/16.29 (assume a7073 (forall ((X3 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X3))) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X3)))))
% 16.06/16.29 (assume a7074 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3))) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3)))))
% 16.06/16.29 (assume a7075 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X3))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 16.06/16.29 (assume a7076 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 16.06/16.29 (assume a7077 (forall ((Y tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y)))))
% 16.06/16.29 (assume a7078 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y)))))
% 16.06/16.29 (assume a7079 (forall ((X3 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X3))) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X3)))))
% 16.06/16.29 (assume a7080 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X3))) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3)))))
% 16.06/16.29 (assume a7081 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))))))
% 16.06/16.29 (assume a7082 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))))))
% 16.06/16.29 (assume a7083 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X3))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) (tptp.aa_num_int tptp.numeral_numeral_int Y)))))))
% 16.06/16.29 (assume a7084 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y)))))))
% 16.06/16.29 (assume a7085 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X3))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) (tptp.aa_num_int tptp.numeral_numeral_int Y)))))))
% 16.06/16.29 (assume a7086 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y)))))))
% 16.06/16.29 (assume a7087 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X3))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) (tptp.aa_num_int tptp.numeral_numeral_int Y)))))))
% 16.06/16.29 (assume a7088 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y)))))))
% 16.06/16.29 (assume a7089 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (= N tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7090 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.29 (assume a7091 (forall ((A tptp.int) (B tptp.int)) (=> (forall ((N2 tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B) N2))))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int A) B)))))
% 16.06/16.29 (assume a7092 (forall ((A tptp.nat) (B tptp.nat)) (=> (forall ((N2 tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat B) N2))))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) B)))))
% 16.06/16.29 (assume a7093 (forall ((X3 tptp.complex) (Y tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex X3) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) X3)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.exp_complex X3)) (tptp.aa_complex_complex tptp.exp_complex Y))))))
% 16.06/16.29 (assume a7094 (forall ((X3 tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real (tptp.times_times_real X3) Y) (tptp.aa_real_real (tptp.times_times_real Y) X3)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.exp_real X3)) (tptp.aa_real_real tptp.exp_real Y))))))
% 16.06/16.29 (assume a7095 (forall ((X3 tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.exp_complex X3)) (tptp.aa_complex_complex tptp.exp_complex Y)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) Y)))))
% 16.06/16.29 (assume a7096 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.exp_real X3)) (tptp.aa_real_real tptp.exp_real Y)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)))))
% 16.06/16.29 (assume a7097 (forall ((X3 tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow X3) tptp.one) X3)))
% 16.06/16.29 (assume a7098 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.06/16.29 (assume a7099 (forall ((A tptp.code_integer) (B tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se1080825931792720795nteger A B))) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.29 (assume a7100 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int A) B))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.29 (assume a7101 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) B))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B))))))
% 16.06/16.29 (assume a7102 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 16.06/16.29 (assume a7103 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.tanh_real X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.exp_real X3)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X3)))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.exp_real X3)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X3)))))))
% 16.06/16.29 (assume a7104 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex tptp.tanh_complex X3) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.exp_complex X3)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X3)))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.exp_complex X3)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X3)))))))
% 16.06/16.29 (assume a7105 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat M2) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.06/16.29 (assume a7106 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7107 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)))))
% 16.06/16.29 (assume a7108 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)))))
% 16.06/16.29 (assume a7109 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7110 (forall ((Z tptp.real)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.exp_real Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7111 (forall ((A tptp.code_integer)) (= (tptp.bit_se1080825931792720795nteger tptp.one_one_Code_integer A) (tptp.plus_p5714425477246183910nteger A (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.29 (assume a7112 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int tptp.one_one_int) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.29 (assume a7113 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat tptp.one_one_nat) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.29 (assume a7114 (forall ((A tptp.code_integer)) (= (tptp.bit_se1080825931792720795nteger A tptp.one_one_Code_integer) (tptp.plus_p5714425477246183910nteger A (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.29 (assume a7115 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int A) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.29 (assume a7116 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat A) tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 16.06/16.29 (assume a7117 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N))))))
% 16.06/16.29 (assume a7118 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N))))))
% 16.06/16.29 (assume a7119 (forall ((X3 tptp.int) (N tptp.nat) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int X3) Y)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.06/16.29 (assume a7120 (forall ((P tptp.fun_nat_bool)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (=> (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_1))) (exists ((N2 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool P N2))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2)))))))))
% 16.06/16.29 (assume a7121 (forall ((X3 tptp.real)) (exists ((Z2 tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real Z2))))))
% 16.06/16.29 (assume a7122 (forall ((X3 tptp.rat)) (exists ((Z2 tptp.int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z2))))))
% 16.06/16.29 (assume a7123 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real X3)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) X3)) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7124 (forall ((K2 tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int K2) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fdisj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7125 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real X3)) (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3))))))))
% 16.06/16.29 (assume a7126 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) X3)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.exp_real X3))))))
% 16.06/16.29 (assume a7127 (forall ((X3 tptp.real) (Y tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_real tptp.ring_1_of_int_real Y))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Y)) (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X3) Y)))))
% 16.06/16.29 (assume a7128 (forall ((X3 tptp.rat) (Y tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_rat tptp.ring_1_of_int_rat Y))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X3) Y)))))
% 16.06/16.29 (assume a7129 (forall ((X3 tptp.real) (N tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real N)))) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X3) N))))
% 16.06/16.29 (assume a7130 (forall ((X3 tptp.rat) (N tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat N)))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X3) N))))
% 16.06/16.29 (assume a7131 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real X3))) X3))) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.29 (assume a7132 (forall ((X3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X3))) X3))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.29 (assume a7133 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg tptp.one) (tptp.aa_num_num tptp.bitM N)))))))
% 16.06/16.29 (assume a7134 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg tptp.one) (tptp.aa_num_num tptp.bitM N)))))))
% 16.06/16.29 (assume a7135 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real X3))))))
% 16.06/16.29 (assume a7136 (forall ((X3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X3))))))
% 16.06/16.29 (assume a7137 (forall ((N tptp.num)) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 16.06/16.29 (assume a7138 (forall ((N tptp.num)) (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 16.06/16.29 (assume a7139 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y)))))
% 16.06/16.29 (assume a7140 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3)))))
% 16.06/16.29 (assume a7141 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X3))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3)))))
% 16.06/16.29 (assume a7142 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y)))))
% 16.06/16.29 (assume a7143 (forall ((N tptp.num)) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.29 (assume a7144 (forall ((N tptp.num)) (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.29 (assume a7145 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg M2) (tptp.aa_num_num tptp.bit0 N)))))))
% 16.06/16.29 (assume a7146 (forall ((N tptp.num) (M2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg M2) (tptp.aa_num_num tptp.bit0 N)))))))
% 16.06/16.29 (assume a7147 (forall ((N tptp.num) (M2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg M2) (tptp.aa_num_num tptp.bitM N)))))))
% 16.06/16.29 (assume a7148 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg M2) (tptp.aa_num_num tptp.bitM N)))))))
% 16.06/16.29 (assume a7149 (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg tptp.one) tptp.one) tptp.one))
% 16.06/16.29 (assume a7150 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit0 N)) tptp.one) (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.29 (assume a7151 (forall ((N tptp.num) (M2 tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit1 M2)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N) M2)))))
% 16.06/16.29 (assume a7152 (forall ((M2 tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg tptp.one) (tptp.aa_num_num tptp.bit1 M2)) (tptp.aa_num_num tptp.bit1 M2))))
% 16.06/16.29 (assume a7153 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit1 N)) tptp.one) tptp.one)))
% 16.06/16.29 (assume a7154 (forall ((N tptp.num) (M2 tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N) M2)))))
% 16.06/16.29 (assume a7155 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X3)) (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat Y))))))
% 16.06/16.29 (assume a7156 (forall ((M2 tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg tptp.one) (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_num tptp.bit1 M2))))
% 16.06/16.29 (assume a7157 (forall ((N tptp.num) (M2 tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit0 M2)) (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N) M2)))))
% 16.06/16.29 (assume a7158 (forall ((X3 tptp.num) (Xa2 tptp.num) (Y tptp.num)) (=> (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg X3) Xa2) Y) (=> (=> (= X3 tptp.one) (=> (= Xa2 tptp.one) (not (= Y tptp.one)))) (=> (=> (= X3 tptp.one) (forall ((M tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 M)) (not (= Y (tptp.aa_num_num tptp.bit1 M)))))) (=> (=> (= X3 tptp.one) (forall ((M tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 M)) (not (= Y (tptp.aa_num_num tptp.bit1 M)))))) (=> (=> (exists ((N2 tptp.num)) (= X3 (tptp.aa_num_num tptp.bit0 N2))) (=> (= Xa2 tptp.one) (not (= Y (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (forall ((N2 tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 N2)) (forall ((M tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 M)) (not (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N2) M)))))))) (=> (forall ((N2 tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 N2)) (forall ((M tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 M)) (not (= Y (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N2) M)))))))) (=> (=> (exists ((N2 tptp.num)) (= X3 (tptp.aa_num_num tptp.bit1 N2))) (=> (= Xa2 tptp.one) (not (= Y tptp.one)))) (=> (forall ((N2 tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 N2)) (forall ((M tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 M)) (not (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N2) M)))))))) (not (forall ((N2 tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 N2)) (forall ((M tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 M)) (not (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N2) M))))))))))))))))))))
% 16.06/16.29 (assume a7159 (forall ((Z tptp.real) (M2 tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real Z) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real Z))))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real Z) (tptp.aa_int_real tptp.ring_1_of_int_real M2)))))))
% 16.06/16.29 (assume a7160 (forall ((Z tptp.rat) (M2 tptp.int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat Z) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat Z))))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat Z) (tptp.aa_int_rat tptp.ring_1_of_int_rat M2)))))))
% 16.06/16.29 (assume a7161 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.29 (assume a7162 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.29 (assume a7163 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M2) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fdisj (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7164 (forall ((M2 tptp.nat) (N tptp.nat)) (and (=> (= M2 tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M2) N) N)) (=> (not (= M2 tptp.zero_zero_nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M2) N) M2)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M2) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 16.06/16.29 (assume a7165 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real X3))) (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7166 (forall ((X3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X3))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7167 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real X3))))))
% 16.06/16.29 (assume a7168 (forall ((X3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X3))))))
% 16.06/16.29 (assume a7169 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real (tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))) X3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real tptp.exp_real tptp.one_one_real))) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.aa_real_real tptp.ln_ln_real X3))))))
% 16.06/16.29 (assume a7170 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.arctan X3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.divide_divide_real X3) (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 16.06/16.29 (assume a7171 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real (tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))) X3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.exp_real tptp.one_one_real))) (tptp.aa_real_real tptp.ln_ln_real X3))))))
% 16.06/16.29 (assume a7172 (= (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 tptp.one)))))))))))))
% 16.06/16.29 (assume a7173 (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 tptp.one))))))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7174 (forall ((X3 tptp.real) (U tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real U) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.divide_divide_real U) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) U))))))))
% 16.06/16.29 (assume a7175 (= (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.29 (assume a7176 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.abs_abs_real X3))))
% 16.06/16.29 (assume a7177 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.sqrt X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X3))))
% 16.06/16.29 (assume a7178 (forall ((X3 tptp.real)) (= (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.sqrt X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X3) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)))))
% 16.06/16.29 (assume a7179 (forall ((X3 tptp.real) (Y tptp.real) (Xa2 tptp.real) (Ya tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real Xa2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Ya) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real Xa2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Ya) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7180 (forall ((X3 tptp.real) (K2 tptp.nat)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_nat_real (tptp.power_power_real X3) K2)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.sqrt X3)) K2))))
% 16.06/16.29 (assume a7181 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7182 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7183 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)))
% 16.06/16.29 (assume a7184 (not (= (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7185 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real tptp.sqrt Y))))))
% 16.06/16.29 (assume a7186 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X3)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7187 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real tptp.sqrt Y))))))
% 16.06/16.29 (assume a7188 (not (= (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_real)))
% 16.06/16.29 (assume a7189 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7190 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7191 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X3)) Y)))))))
% 16.06/16.29 (assume a7192 (forall ((Y tptp.real) (X3 tptp.real)) (=> (= (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X3) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real tptp.sqrt X3) Y)))))
% 16.06/16.29 (assume a7193 (forall ((U tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) U)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real U) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) U)))))
% 16.06/16.29 (assume a7194 (forall ((X3 tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) X3) (= Y tptp.zero_zero_real))))
% 16.06/16.29 (assume a7195 (forall ((X3 tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Y) (= X3 tptp.zero_zero_real))))
% 16.06/16.29 (assume a7196 (forall ((X3 tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7197 (forall ((Y tptp.real) (X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7198 (forall ((A tptp.real) (C tptp.real) (B tptp.real) (D tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real A) C)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real B) D)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real B) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real C) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real D) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7199 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X3)) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)))))
% 16.06/16.29 (assume a7200 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7201 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7202 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) tptp.pi)))
% 16.06/16.29 (assume a7203 (forall ((Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan Y)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.29 (assume a7204 (= (tptp.aa_real_real tptp.arctan tptp.one_one_real) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7205 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X3)) Y)))))))
% 16.06/16.29 (assume a7206 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.plus_plus_real X3) Y)))))))
% 16.06/16.29 (assume a7207 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7208 (forall ((X3 tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X3)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7209 (forall ((Y tptp.real) (X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7210 (forall ((X3 tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real X3)) (tptp.aa_real_real tptp.abs_abs_real Y))))))
% 16.06/16.29 (assume a7211 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real tptp.sqrt X3)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real X3)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.29 (assume a7212 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_real)))
% 16.06/16.29 (assume a7213 (forall ((Y tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arctan Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan Y)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7214 (forall ((Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arctan Y)))))
% 16.06/16.29 (assume a7215 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))))))
% 16.06/16.29 (assume a7216 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.sqrt X3)) N) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7217 (forall ((X3 tptp.real) (Y tptp.real) (Xa2 tptp.real) (Ya tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real Xa2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Ya) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7218 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.times_times_real X3) Y))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7219 (forall ((X3 tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.divide_divide_real X3) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) tptp.one_one_real))))
% 16.06/16.29 (assume a7220 (forall ((X3 tptp.real) (U tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X3)) (tptp.aa_real_real (tptp.divide_divide_real U) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real Y)) (tptp.aa_real_real (tptp.divide_divide_real U) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) U))))))
% 16.06/16.29 (assume a7221 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X3)) (= (tptp.aa_real_real tptp.arcosh_real X3) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))))))
% 16.06/16.29 (assume a7222 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.arsinh_real X3) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))))))
% 16.06/16.29 (assume a7223 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cot_real X3)) tptp.zero_zero_real))))))
% 16.06/16.29 (assume a7224 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.cot_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.aa_real_real tptp.cot_real X3))))
% 16.06/16.29 (assume a7225 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 16.06/16.29 (assume a7226 (= (tptp.aa_real_real tptp.arcsin (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7227 (forall ((N tptp.int)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) (tptp.aa_int_real tptp.ring_1_of_int_real N))) tptp.zero_zero_real)))
% 16.06/16.29 (assume a7228 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) tptp.zero_zero_real))
% 16.06/16.29 (assume a7229 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))
% 16.06/16.29 (assume a7230 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.aa_real_real tptp.sin_real X3))))
% 16.06/16.29 (assume a7231 (= (tptp.aa_real_real tptp.arcsin tptp.one_one_real) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7232 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) X3)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real X3)))))
% 16.06/16.29 (assume a7233 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.arcsin (tptp.aa_real_real tptp.sin_real X3)) X3)))))
% 16.06/16.29 (assume a7234 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real tptp.arcsin X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real Y)) X3)))))))))
% 16.06/16.29 (assume a7235 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin X3)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real tptp.sin_real Y))))))))))
% 16.06/16.29 (assume a7236 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin Y)) tptp.pi)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arcsin Y)) Y))))))
% 16.06/16.29 (assume a7237 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin Y)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arcsin Y)) Y))))))
% 16.06/16.29 (assume a7238 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X3)))))))
% 16.06/16.29 (assume a7239 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7240 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X3)))))))
% 16.06/16.29 (assume a7241 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.pi) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sin_real X3)) tptp.zero_zero_real))))))
% 16.06/16.29 (assume a7242 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7243 (forall ((Y tptp.real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real Y)) (tptp.aa_real_real tptp.sin_real X3))))))))
% 16.06/16.29 (assume a7244 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.aa_real_real tptp.sin_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)))))))))
% 16.06/16.29 (assume a7245 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (= (tptp.aa_real_real tptp.sin_real X3) (tptp.aa_real_real tptp.sin_real Y)) (= X3 Y))))))))
% 16.06/16.29 (assume a7246 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7247 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.pi) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real X3)) tptp.zero_zero_real))))))
% 16.06/16.29 (assume a7248 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sin_real X3)) tptp.zero_zero_real))))))
% 16.06/16.29 (assume a7249 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.aa_real_real tptp.sin_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)))))))))
% 16.06/16.29 (assume a7250 (forall ((Y tptp.real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sin_real Y)) (tptp.aa_real_real tptp.sin_real X3))))))))
% 16.06/16.29 (assume a7251 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (exists ((X5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X5) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real X5) Y) (forall ((Y5 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y5) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real Y5) Y)) (= Y5 X5)))))))))
% 16.06/16.29 (assume a7252 (forall ((X3 tptp.real)) (= (= (tptp.aa_real_real tptp.sin_real X3) tptp.zero_zero_real) (exists ((I4 tptp.int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) I4)) (= X3 (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real I4)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7253 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arctan X3)) (tptp.aa_real_real (tptp.divide_divide_real X3) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7254 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arcsin Y)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7255 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin Y)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7256 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin Y)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7257 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y)))))))
% 16.06/16.29 (assume a7258 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cot_real X3)))))))
% 16.06/16.29 (assume a7259 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N))))
% 16.06/16.29 (assume a7260 (forall ((X3 tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real) (not (forall ((T5 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T5) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (=> (= X3 (tptp.aa_real_real tptp.cos_real T5)) (not (= Y (tptp.aa_real_real tptp.sin_real T5)))))))))))
% 16.06/16.29 (assume a7261 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X3)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7262 (forall ((X3 tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T5) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (= X3 (tptp.aa_real_real tptp.cos_real T5)) (= Y (tptp.aa_real_real tptp.sin_real T5)))))))
% 16.06/16.29 (assume a7263 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T5) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= X3 (tptp.aa_real_real tptp.cos_real T5)) (= Y (tptp.aa_real_real tptp.sin_real T5)))))))))
% 16.06/16.29 (assume a7264 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arccos Y)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7265 (forall ((M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (= M2 N))))
% 16.06/16.29 (assume a7266 (forall ((M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (= M2 N))))
% 16.06/16.29 (assume a7267 (forall ((M2 tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (= M2 N))))
% 16.06/16.29 (assume a7268 (forall ((N tptp.nat)) (= (tptp.abs_abs_Code_integer (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))))
% 16.06/16.29 (assume a7269 (forall ((N tptp.nat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))))
% 16.06/16.29 (assume a7270 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))
% 16.06/16.29 (assume a7271 (forall ((N tptp.nat)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))
% 16.06/16.29 (assume a7272 (forall ((M2 tptp.nat)) (= (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2) tptp.zero_zero_rat) (= M2 tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7273 (forall ((M2 tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2) tptp.zero_zero_real) (= M2 tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7274 (forall ((M2 tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2) tptp.zero_zero_int) (= M2 tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7275 (forall ((M2 tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2) tptp.zero_zero_nat) (= M2 tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7276 (forall ((N tptp.nat)) (= (= tptp.zero_zero_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (= tptp.zero_zero_nat N))))
% 16.06/16.29 (assume a7277 (forall ((N tptp.nat)) (= (= tptp.zero_zero_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (= tptp.zero_zero_nat N))))
% 16.06/16.29 (assume a7278 (forall ((N tptp.nat)) (= (= tptp.zero_zero_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (= tptp.zero_zero_nat N))))
% 16.06/16.29 (assume a7279 (forall ((N tptp.nat)) (= (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (= tptp.zero_zero_nat N))))
% 16.06/16.29 (assume a7280 (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat tptp.zero_zero_nat) tptp.zero_zero_rat))
% 16.06/16.29 (assume a7281 (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real tptp.zero_zero_nat) tptp.zero_zero_real))
% 16.06/16.29 (assume a7282 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.zero_zero_nat) tptp.zero_zero_int))
% 16.06/16.29 (assume a7283 (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat tptp.zero_zero_nat) tptp.zero_zero_nat))
% 16.06/16.29 (assume a7284 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.29 (assume a7285 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.29 (assume a7286 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.29 (assume a7287 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.29 (assume a7288 (forall ((N tptp.num)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.numera6690914467698888265omplex N))))
% 16.06/16.29 (assume a7289 (forall ((N tptp.num)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))))
% 16.06/16.29 (assume a7290 (forall ((N tptp.num)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_real tptp.numeral_numeral_real N))))
% 16.06/16.29 (assume a7291 (forall ((N tptp.num)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 16.06/16.29 (assume a7292 (forall ((N tptp.num)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))
% 16.06/16.29 (assume a7293 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.29 (assume a7294 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.29 (assume a7295 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.29 (assume a7296 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.29 (assume a7297 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)))))
% 16.06/16.29 (assume a7298 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))
% 16.06/16.29 (assume a7299 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 16.06/16.29 (assume a7300 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 16.06/16.29 (assume a7301 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)))))
% 16.06/16.29 (assume a7302 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))
% 16.06/16.29 (assume a7303 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 16.06/16.29 (assume a7304 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 16.06/16.29 (assume a7305 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N) tptp.one_one_complex) (= N tptp.one_one_nat))))
% 16.06/16.29 (assume a7306 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N) tptp.one_one_rat) (= N tptp.one_one_nat))))
% 16.06/16.29 (assume a7307 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) tptp.one_one_real) (= N tptp.one_one_nat))))
% 16.06/16.29 (assume a7308 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) tptp.one_one_int) (= N tptp.one_one_nat))))
% 16.06/16.29 (assume a7309 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) tptp.one_one_nat) (= N tptp.one_one_nat))))
% 16.06/16.29 (assume a7310 (forall ((N tptp.nat)) (= (= tptp.one_one_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (= N tptp.one_one_nat))))
% 16.06/16.29 (assume a7311 (forall ((N tptp.nat)) (= (= tptp.one_one_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (= N tptp.one_one_nat))))
% 16.06/16.29 (assume a7312 (forall ((N tptp.nat)) (= (= tptp.one_one_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (= N tptp.one_one_nat))))
% 16.06/16.29 (assume a7313 (forall ((N tptp.nat)) (= (= tptp.one_one_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (= N tptp.one_one_nat))))
% 16.06/16.29 (assume a7314 (forall ((N tptp.nat)) (= (= tptp.one_one_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (= N tptp.one_one_nat))))
% 16.06/16.29 (assume a7315 (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex tptp.one_one_nat) tptp.one_one_complex))
% 16.06/16.29 (assume a7316 (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat tptp.one_one_nat) tptp.one_one_rat))
% 16.06/16.29 (assume a7317 (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real tptp.one_one_nat) tptp.one_one_real))
% 16.06/16.29 (assume a7318 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.one_one_nat) tptp.one_one_int))
% 16.06/16.29 (assume a7319 (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat tptp.one_one_nat) tptp.one_one_nat))
% 16.06/16.29 (assume a7320 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M2) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M2)) N))))
% 16.06/16.29 (assume a7321 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M2) N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) N))))
% 16.06/16.29 (assume a7322 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M2) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) N))))
% 16.06/16.29 (assume a7323 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)) N))))
% 16.06/16.29 (assume a7324 (forall ((B tptp.nat) (W tptp.nat) (X3 tptp.nat)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex B)) W) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex X3)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W) X3))))
% 16.06/16.29 (assume a7325 (forall ((B tptp.nat) (W tptp.nat) (X3 tptp.nat)) (= (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W) X3))))
% 16.06/16.29 (assume a7326 (forall ((B tptp.nat) (W tptp.nat) (X3 tptp.nat)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W) X3))))
% 16.06/16.29 (assume a7327 (forall ((B tptp.nat) (W tptp.nat) (X3 tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W) X3))))
% 16.06/16.29 (assume a7328 (forall ((X3 tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex X3) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex B)) W)) (= X3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)))))
% 16.06/16.29 (assume a7329 (forall ((X3 tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W)) (= X3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)))))
% 16.06/16.29 (assume a7330 (forall ((X3 tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W)) (= X3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)))))
% 16.06/16.29 (assume a7331 (forall ((X3 tptp.nat) (B tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W)) (= X3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)))))
% 16.06/16.29 (assume a7332 (forall ((P tptp.bool)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat P)) (tptp.aa_bool_real tptp.zero_n3304061248610475627l_real P))))
% 16.06/16.29 (assume a7333 (forall ((P tptp.bool)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat P)) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat P))))
% 16.06/16.29 (assume a7334 (forall ((P tptp.bool)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat P)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P))))
% 16.06/16.29 (assume a7335 (forall ((P tptp.bool)) (= (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat P)) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger P))))
% 16.06/16.29 (assume a7336 (forall ((M2 tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) tptp.zero_zero_real)) (= M2 tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7337 (forall ((M2 tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2)) tptp.zero_zero_rat)) (= M2 tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7338 (forall ((M2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)) tptp.zero_zero_nat)) (= M2 tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7339 (forall ((M2 tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) tptp.zero_zero_int)) (= M2 tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7340 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M2)))))
% 16.06/16.29 (assume a7341 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2)))))
% 16.06/16.29 (assume a7342 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)))))
% 16.06/16.29 (assume a7343 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)))))
% 16.06/16.29 (assume a7344 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)))))
% 16.06/16.29 (assume a7345 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.29 (assume a7346 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.29 (assume a7347 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.29 (assume a7348 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 16.06/16.29 (assume a7349 (forall ((B tptp.nat) (W tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat B)) W)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X3)))))
% 16.06/16.29 (assume a7350 (forall ((B tptp.nat) (W tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X3)))))
% 16.06/16.29 (assume a7351 (forall ((B tptp.nat) (W tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X3)))))
% 16.06/16.29 (assume a7352 (forall ((B tptp.nat) (W tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X3)))))
% 16.06/16.29 (assume a7353 (forall ((X3 tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X3)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.06/16.29 (assume a7354 (forall ((X3 tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.06/16.29 (assume a7355 (forall ((X3 tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.06/16.29 (assume a7356 (forall ((X3 tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.06/16.29 (assume a7357 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X3)) N) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N) Y))))
% 16.06/16.29 (assume a7358 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) N) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N) Y))))
% 16.06/16.29 (assume a7359 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) N) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N) Y))))
% 16.06/16.29 (assume a7360 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N) Y))))
% 16.06/16.29 (assume a7361 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N) Y))))
% 16.06/16.29 (assume a7362 (forall ((Y tptp.nat) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Y) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X3)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N)))))
% 16.06/16.29 (assume a7363 (forall ((Y tptp.nat) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Y) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N)))))
% 16.06/16.29 (assume a7364 (forall ((Y tptp.nat) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Y) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N)))))
% 16.06/16.29 (assume a7365 (forall ((Y tptp.nat) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N)))))
% 16.06/16.29 (assume a7366 (forall ((Y tptp.nat) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N)))))
% 16.06/16.29 (assume a7367 (forall ((B tptp.nat) (W tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X3)))))
% 16.06/16.29 (assume a7368 (forall ((B tptp.nat) (W tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat B)) W)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X3)))))
% 16.06/16.29 (assume a7369 (forall ((B tptp.nat) (W tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X3)))))
% 16.06/16.29 (assume a7370 (forall ((B tptp.nat) (W tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W)) X3)))))
% 16.06/16.29 (assume a7371 (forall ((X3 tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.06/16.29 (assume a7372 (forall ((X3 tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X3)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.06/16.29 (assume a7373 (forall ((X3 tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.06/16.29 (assume a7374 (forall ((X3 tptp.nat) (B tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) W))))))
% 16.06/16.29 (assume a7375 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X3)) (tptp.aa_complex_complex tptp.cos_complex X3))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex X3)) (tptp.aa_complex_complex tptp.sin_complex X3))) tptp.one_one_complex)))
% 16.06/16.29 (assume a7376 (forall ((X3 tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_real_real tptp.cos_real X3))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.aa_real_real tptp.sin_real X3))) tptp.one_one_real)))
% 16.06/16.29 (assume a7377 (forall ((N tptp.nat) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 16.06/16.29 (assume a7378 (forall ((W tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) N)))))
% 16.06/16.29 (assume a7379 (forall ((N tptp.num) (M2 tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) M2)))))
% 16.06/16.29 (assume a7380 (forall ((X3 tptp.real) (N tptp.num)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.pi))) (tptp.aa_real_real tptp.tan_real X3))))
% 16.06/16.29 (assume a7381 (forall ((X3 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X3)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X3)) (= N tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a7382 (forall ((X3 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X3)) (= N tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a7383 (forall ((X3 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X3)) (= N tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a7384 (forall ((X3 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X3)) (= N tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a7385 (forall ((A tptp.real) (B tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (= (tptp.aa_real_real (tptp.log A) (tptp.aa_nat_real (tptp.power_power_real A) B)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B))))))
% 16.06/16.29 (assume a7386 (forall ((I tptp.num) (N tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat I)) N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X3)))))
% 16.06/16.29 (assume a7387 (forall ((I tptp.num) (N tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I)) N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X3)))))
% 16.06/16.29 (assume a7388 (forall ((I tptp.num) (N tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int I)) N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X3)))))
% 16.06/16.29 (assume a7389 (forall ((I tptp.num) (N tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X3)))))
% 16.06/16.29 (assume a7390 (forall ((X3 tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X3)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 16.06/16.29 (assume a7391 (forall ((X3 tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 16.06/16.29 (assume a7392 (forall ((X3 tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 16.06/16.29 (assume a7393 (forall ((X3 tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 16.06/16.29 (assume a7394 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.29 (assume a7395 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.29 (assume a7396 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.29 (assume a7397 (forall ((I tptp.num) (N tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I)) N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X3)))))
% 16.06/16.29 (assume a7398 (forall ((I tptp.num) (N tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat I)) N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X3)))))
% 16.06/16.29 (assume a7399 (forall ((I tptp.num) (N tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X3)))))
% 16.06/16.29 (assume a7400 (forall ((I tptp.num) (N tptp.nat) (X3 tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int I)) N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X3)))))
% 16.06/16.29 (assume a7401 (forall ((X3 tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 16.06/16.29 (assume a7402 (forall ((X3 tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X3)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 16.06/16.29 (assume a7403 (forall ((X3 tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 16.06/16.29 (assume a7404 (forall ((X3 tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 16.06/16.29 (assume a7405 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real))
% 16.06/16.29 (assume a7406 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) tptp.one_one_real))
% 16.06/16.29 (assume a7407 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.aa_real_real tptp.cos_real X3))))
% 16.06/16.29 (assume a7408 (= (tptp.aa_real_real tptp.arccos tptp.zero_zero_real) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7409 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) X3)) (tptp.aa_real_real tptp.cos_real X3))))
% 16.06/16.29 (assume a7410 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.aa_real_real tptp.tan_real X3))))
% 16.06/16.29 (assume a7411 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real tptp.pi) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N))))
% 16.06/16.29 (assume a7412 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.pi)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N))))
% 16.06/16.29 (assume a7413 (forall ((X3 tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 16.06/16.29 (assume a7414 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex)))
% 16.06/16.29 (assume a7415 (forall ((X3 tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 16.06/16.29 (assume a7416 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex)))
% 16.06/16.29 (assume a7417 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)) tptp.zero_zero_real)))
% 16.06/16.29 (assume a7418 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)) tptp.one_one_real)))
% 16.06/16.29 (assume a7419 (forall ((N tptp.int)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) (tptp.aa_int_real tptp.ring_1_of_int_real N))) tptp.one_one_real)))
% 16.06/16.29 (assume a7420 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi)) tptp.zero_zero_real))
% 16.06/16.29 (assume a7421 (forall ((N tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real tptp.pi) (tptp.aa_int_real tptp.ring_1_of_int_real N))) tptp.one_one_real)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real tptp.pi) (tptp.aa_int_real tptp.ring_1_of_int_real N))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 16.06/16.29 (assume a7422 (forall ((M2 tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real tptp.pi) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)))
% 16.06/16.29 (assume a7423 (forall ((X3 tptp.real)) (exists ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N2))))))
% 16.06/16.29 (assume a7424 (forall ((X3 tptp.rat)) (exists ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N2))))))
% 16.06/16.29 (assume a7425 (forall ((X3 tptp.nat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X3)) Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X3)))))
% 16.06/16.29 (assume a7426 (forall ((X3 tptp.nat) (Y tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3)) Y) (tptp.aa_real_real (tptp.times_times_real Y) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3)))))
% 16.06/16.29 (assume a7427 (forall ((X3 tptp.nat) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3)) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3)))))
% 16.06/16.29 (assume a7428 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3)) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3)))))
% 16.06/16.29 (assume a7429 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))
% 16.06/16.29 (assume a7430 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)))))
% 16.06/16.29 (assume a7431 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 16.06/16.29 (assume a7432 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 16.06/16.29 (assume a7433 (forall ((M2 tptp.nat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2)) tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a7434 (forall ((M2 tptp.nat)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) tptp.zero_zero_real)))))
% 16.06/16.29 (assume a7435 (forall ((M2 tptp.nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) tptp.zero_zero_int)))))
% 16.06/16.29 (assume a7436 (forall ((M2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)) tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a7437 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_rat))))
% 16.06/16.29 (assume a7438 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_real))))
% 16.06/16.29 (assume a7439 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_int))))
% 16.06/16.29 (assume a7440 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7441 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.29 (assume a7442 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.29 (assume a7443 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.29 (assume a7444 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.29 (assume a7445 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))))))
% 16.06/16.29 (assume a7446 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))
% 16.06/16.29 (assume a7447 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 16.06/16.29 (assume a7448 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))))))
% 16.06/16.29 (assume a7449 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real I)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real J))))))
% 16.06/16.29 (assume a7450 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat I)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat J))))))
% 16.06/16.29 (assume a7451 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat I)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat J))))))
% 16.06/16.29 (assume a7452 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int I)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int J))))))
% 16.06/16.29 (assume a7453 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X3) Y)) (tptp.aa_real_real (tptp.ord_max_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Y)))))
% 16.06/16.29 (assume a7454 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X3) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.ord_max_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y)))))
% 16.06/16.29 (assume a7455 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X3) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X3)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Y)))))
% 16.06/16.29 (assume a7456 (forall ((X3 tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X3) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex Y) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.tan_complex X3)) (tptp.aa_complex_complex tptp.tan_complex Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X3)) (tptp.aa_complex_complex tptp.cos_complex Y))))))))
% 16.06/16.29 (assume a7457 (forall ((X3 tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X3) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real Y) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_real_real tptp.tan_real Y)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_real_real tptp.cos_real Y))))))))
% 16.06/16.29 (assume a7458 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_real_real tptp.sin_real Y))))))
% 16.06/16.29 (assume a7459 (forall ((X3 tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X3) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex Y) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.tan_complex X3)) (tptp.aa_complex_complex tptp.tan_complex Y))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X3)) (tptp.aa_complex_complex tptp.cos_complex Y))))))))
% 16.06/16.29 (assume a7460 (forall ((X3 tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X3) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real Y) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_real_real tptp.cos_real Y))))))))
% 16.06/16.29 (assume a7461 (forall ((X3 tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X3) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex Y) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X3) Y)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.tan_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X3) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.tan_complex X3)) (tptp.aa_complex_complex tptp.tan_complex Y))) (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.tan_complex X3)) (tptp.aa_complex_complex tptp.tan_complex Y))))))))))
% 16.06/16.29 (assume a7462 (forall ((X3 tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X3) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real Y) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.minus_minus_real X3) Y)) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.minus_minus_real X3) Y)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_real_real tptp.tan_real Y))))))))))
% 16.06/16.29 (assume a7463 (forall ((X3 tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X3) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex Y) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) Y)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.tan_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.tan_complex X3)) (tptp.aa_complex_complex tptp.tan_complex Y))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.tan_complex X3)) (tptp.aa_complex_complex tptp.tan_complex Y))))))))))
% 16.06/16.29 (assume a7464 (forall ((X3 tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X3) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real Y) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_real_real tptp.tan_real Y))))))))))
% 16.06/16.29 (assume a7465 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))))))
% 16.06/16.29 (assume a7466 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))
% 16.06/16.29 (assume a7467 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 16.06/16.29 (assume a7468 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))))))
% 16.06/16.29 (assume a7469 (forall ((X3 tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex X3) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex X3)) N))))
% 16.06/16.29 (assume a7470 (forall ((X3 tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.times_times_real X3) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.exp_real X3)) N))))
% 16.06/16.29 (assume a7471 (forall ((N tptp.nat) (X3 tptp.complex)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) X3)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex X3)) N))))
% 16.06/16.29 (assume a7472 (forall ((N tptp.nat) (X3 tptp.real)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X3)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.exp_real X3)) N))))
% 16.06/16.29 (assume a7473 (forall ((X3 tptp.real)) (= (= (tptp.aa_real_real tptp.cos_real X3) tptp.one_one_real) (or (exists ((X4 tptp.nat)) (= X3 (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X4)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi))) (exists ((X4 tptp.nat)) (= X3 (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X4)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi))))))))
% 16.06/16.29 (assume a7474 (forall ((Theta tptp.real)) (not (forall ((K tptp.int)) (not (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.cos_real Theta)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real Theta) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real K)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))))))))))
% 16.06/16.29 (assume a7475 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.aa_real_real tptp.sin_real Y))))))
% 16.06/16.29 (assume a7476 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.minus_minus_real X3) Y)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.aa_real_real tptp.sin_real Y))))))
% 16.06/16.29 (assume a7477 (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_real)))
% 16.06/16.29 (assume a7478 (forall ((A tptp.code_integer) (M2 tptp.nat) (N tptp.nat)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M2)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M2)) (tptp.modulo364778990260209775nteger (tptp.divide6298287555418463151nteger A (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M2)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) (tptp.modulo364778990260209775nteger A (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger M2))))))
% 16.06/16.29 (assume a7479 (forall ((A tptp.int) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2))))))
% 16.06/16.29 (assume a7480 (forall ((A tptp.nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2))) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2))))))
% 16.06/16.29 (assume a7481 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex tptp.tan_complex X3) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X3))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X3))) tptp.one_one_complex)))))
% 16.06/16.29 (assume a7482 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.tan_real X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3))) tptp.one_one_real)))))
% 16.06/16.29 (assume a7483 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) tptp.one_one_real))))))
% 16.06/16.29 (assume a7484 (forall ((B tptp.real) (N tptp.nat) (M2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.power_power_real B) N)) M2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.log B) M2)))))))
% 16.06/16.29 (assume a7485 (forall ((M2 tptp.nat) (B tptp.real) (N tptp.nat)) (=> (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2) (tptp.aa_nat_real (tptp.power_power_real B) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) (tptp.aa_real_real (tptp.log B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)))))))
% 16.06/16.29 (assume a7486 (forall ((X3 tptp.real) (M2 tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc M2))) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7487 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sin_complex X3))) (tptp.aa_complex_complex tptp.cos_complex X3)))))
% 16.06/16.29 (assume a7488 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sin_real X3))) (tptp.aa_real_real tptp.cos_real X3)))))
% 16.06/16.29 (assume a7489 (forall ((E tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) E)) (not (forall ((N2 tptp.nat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc N2)))) E))))))))
% 16.06/16.29 (assume a7490 (forall ((E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (not (forall ((N2 tptp.nat)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N2)))) E))))))))
% 16.06/16.29 (assume a7491 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.29 (assume a7492 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.29 (assume a7493 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.29 (assume a7494 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (= (tptp.aa_real_real tptp.cos_real X3) tptp.zero_zero_real) (exists ((N2 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N2))) (= X3 (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N2)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.06/16.29 (assume a7495 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cos_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)))
% 16.06/16.29 (assume a7496 (exists ((X5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X5) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.cos_real X5) tptp.zero_zero_real) (forall ((Y5 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y5) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.cos_real Y5) tptp.zero_zero_real)) (= Y5 X5))))))
% 16.06/16.29 (assume a7497 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cos_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)))
% 16.06/16.29 (assume a7498 (forall ((X3 tptp.real)) (= (= (tptp.aa_real_real tptp.cos_real X3) tptp.zero_zero_real) (or (exists ((N4 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N4))) (= X3 (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N4)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))) (exists ((N4 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N4))) (= X3 (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N4)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 16.06/16.29 (assume a7499 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2))) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 16.06/16.29 (assume a7500 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))))))))
% 16.06/16.29 (assume a7501 (forall ((X3 tptp.real) (M2 tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc M2))) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7502 (forall ((X3 tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X3) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.tan_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.tan_complex X3))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.tan_complex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7503 (forall ((X3 tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X3) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.tan_real X3))) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7504 (forall ((N tptp.nat) (X3 tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X3) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)))) N) (tptp.aa_complex_complex tptp.exp_complex X3)))))
% 16.06/16.29 (assume a7505 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.divide_divide_real X3) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) N) (tptp.aa_real_real tptp.exp_real X3)))))
% 16.06/16.29 (assume a7506 (forall ((B tptp.real) (N tptp.nat) (M2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real B) N)) M2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.log B) M2)))))))
% 16.06/16.29 (assume a7507 (forall ((A tptp.real) (N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.aa_real_real (tptp.log (tptp.aa_nat_real (tptp.power_power_real A) N)) X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.log A) X3)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))
% 16.06/16.29 (assume a7508 (forall ((X3 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_nat_real (tptp.power_power_real X3) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real tptp.ln_ln_real X3))))))
% 16.06/16.29 (assume a7509 (forall ((X3 tptp.real) (B tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real (tptp.log B) (tptp.aa_nat_real (tptp.power_power_real X3) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.log B) X3))))))
% 16.06/16.29 (assume a7510 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X3)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.cos_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7511 (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_real))
% 16.06/16.29 (assume a7512 (forall ((X3 tptp.real)) (= (= (tptp.aa_real_real tptp.cos_real X3) tptp.one_one_real) (exists ((X4 tptp.int)) (= X3 (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real X4)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi))))))
% 16.06/16.29 (assume a7513 (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 16.06/16.29 (assume a7514 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7515 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (= M2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) (tptp.aa_real_real (tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2))))))
% 16.06/16.29 (assume a7516 (forall ((M2 tptp.nat) (B tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) (tptp.aa_nat_real (tptp.power_power_real B) N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.log B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 16.06/16.29 (assume a7517 (forall ((X3 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X3))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) X3)) N))))))
% 16.06/16.29 (assume a7518 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_complex_complex tptp.cos_complex Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7519 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_real_real tptp.cos_real Z)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7520 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_complex_complex tptp.cos_complex Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7521 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_real_real tptp.cos_real Z)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.minus_minus_real W) Z))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.plus_plus_real W) Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7522 (forall ((X3 tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.29 (assume a7523 (forall ((X3 tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.29 (assume a7524 (forall ((X3 tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.29 (assume a7525 (forall ((X3 tptp.real)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.29 (assume a7526 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (exists ((X5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real tptp.tan_real X5))))))))
% 16.06/16.29 (assume a7527 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.tan_real X3)))))))
% 16.06/16.29 (assume a7528 (forall ((Y tptp.real)) (exists ((X5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.tan_real X5) Y)))))
% 16.06/16.29 (assume a7529 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)))))))))
% 16.06/16.29 (assume a7530 (forall ((Y tptp.real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tan_real Y)) (tptp.aa_real_real tptp.tan_real X3))))))))))
% 16.06/16.29 (assume a7531 (forall ((Y tptp.real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tan_real Y)) (tptp.aa_real_real tptp.tan_real X3))))))))
% 16.06/16.29 (assume a7532 (forall ((Y tptp.real)) (exists ((X5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.tan_real X5) Y) (forall ((Y5 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y5) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.tan_real Y5) Y)) (= Y5 X5)))))))
% 16.06/16.29 (assume a7533 (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 16.06/16.29 (assume a7534 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3))) tptp.one_one_real))))))
% 16.06/16.29 (assume a7535 (forall ((Y tptp.real)) (= (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.tan_real Y)) (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)))))
% 16.06/16.29 (assume a7536 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cos_real X3)))))))
% 16.06/16.29 (assume a7537 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7538 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.29 (assume a7539 (forall ((M2 tptp.nat) (B tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) (tptp.aa_nat_real (tptp.power_power_real B) N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.log B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 16.06/16.29 (assume a7540 (forall ((W tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) W)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_complex))))
% 16.06/16.29 (assume a7541 (forall ((W tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) W)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_real))))
% 16.06/16.29 (assume a7542 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)) (tptp.aa_real_real tptp.cot_real X3))))
% 16.06/16.29 (assume a7543 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 tptp.one))) X3)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_complex_complex tptp.cos_complex X3))))))
% 16.06/16.29 (assume a7544 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) X3)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_real_real tptp.cos_real X3))))))
% 16.06/16.29 (assume a7545 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_complex_complex tptp.cos_complex Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex Z) W)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7546 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_real_real tptp.cos_real Z)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real Z) W)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7547 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_complex_complex tptp.sin_complex Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7548 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_real_real tptp.sin_real Z)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7549 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_complex_complex tptp.sin_complex Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7550 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_real_real tptp.sin_real Z)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7551 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_complex_complex tptp.sin_complex Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7552 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_real_real tptp.sin_real Z)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.plus_plus_real W) Z))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.minus_minus_real W) Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7553 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_complex_complex tptp.cos_complex Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7554 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_real_real tptp.cos_real Z)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.plus_plus_real W) Z))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.minus_minus_real W) Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7555 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_complex_complex tptp.sin_complex Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7556 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_real_real tptp.sin_real Z)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.minus_minus_real W) Z))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.plus_plus_real W) Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.29 (assume a7557 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.29 (assume a7558 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.29 (assume a7559 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.tan_real X3)))))))
% 16.06/16.29 (assume a7560 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (exists ((X5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X5) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.tan_real X5) Y))))))
% 16.06/16.29 (assume a7561 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tan_real X3)) tptp.zero_zero_real))))))
% 16.06/16.29 (assume a7562 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)))))))))
% 16.06/16.29 (assume a7563 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.tan_real X3)) (tptp.aa_real_real tptp.tan_real Y))))))))
% 16.06/16.29 (assume a7564 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X3)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.tan_real X3))) tptp.one_one_real)))))
% 16.06/16.29 (assume a7565 (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))))))
% 16.06/16.29 (assume a7566 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cos_real X3)))))))
% 16.06/16.29 (assume a7567 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cos_real X3)))))))
% 16.06/16.29 (assume a7568 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (= (tptp.aa_real_real tptp.tan_real X3) Y) (= (tptp.aa_real_real tptp.arctan Y) X3))))))
% 16.06/16.29 (assume a7569 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.arctan (tptp.aa_real_real tptp.tan_real X3)) X3)))))
% 16.06/16.29 (assume a7570 (forall ((Y tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arctan Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan Y)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real tptp.arctan Y)) Y))))
% 16.06/16.29 (assume a7571 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) M2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)))))))
% 16.06/16.29 (assume a7572 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) M2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)))))))
% 16.06/16.29 (assume a7573 (forall ((W tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) W)) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7574 (forall ((W tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) W)) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.29 (assume a7575 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X3)) tptp.one_one_real)) (exists ((Z2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.aa_real_real tptp.tan_real Z2) X3))))))
% 16.06/16.29 (assume a7576 (forall ((X3 tptp.real)) (= (= (tptp.aa_real_real tptp.cos_real X3) tptp.zero_zero_real) (exists ((I4 tptp.int)) (and (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) I4))) (= X3 (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real I4)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7577 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arctan X3)) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7578 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 16.06/16.29 (assume a7579 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))))
% 16.06/16.29 (assume a7580 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X3))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) X3)) N))))))
% 16.06/16.29 (assume a7581 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos Y)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7582 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) X3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.divide_divide_real X3) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) N)) (tptp.aa_real_real tptp.exp_real X3)))))))
% 16.06/16.29 (assume a7583 (forall ((X3 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.divide_divide_real X3) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) N)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X3))))))))
% 16.06/16.29 (assume a7584 (forall ((Y tptp.real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T5) tptp.pi)) (= X3 (tptp.aa_real_real tptp.cos_real T5)) (= Y (tptp.aa_real_real tptp.sin_real T5))))))))
% 16.06/16.29 (assume a7585 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X3))) (= (tptp.aa_real_real tptp.sin_real X3) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.cos_real X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7586 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arcsin X3)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7587 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))))
% 16.06/16.29 (assume a7588 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (= (tptp.aa_real_real tptp.sin_real X3) tptp.zero_zero_real) (exists ((N2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N2)) (= X3 (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N2)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.06/16.29 (assume a7589 (forall ((X3 tptp.real)) (= (= (tptp.aa_real_real tptp.sin_real X3) tptp.zero_zero_real) (or (exists ((N4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N4)) (= X3 (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N4)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))) (exists ((N4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N4)) (= X3 (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N4)) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 16.06/16.29 (assume a7590 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arccos X3)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.29 (assume a7591 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N) tptp.zero_zero_complex)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N) (tptp.produc1917071388513777916omplex tptp.aTP_Lamm_hq (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7592 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N) tptp.zero_zero_rat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N) (tptp.aa_Pro3608043709957902237at_rat (tptp.produc6207742614233964070at_rat tptp.aTP_Lamm_hr) (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7593 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) tptp.zero_zero_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) (tptp.aa_Pro6168199777849092593t_real (tptp.produc1703576794950452218t_real tptp.aTP_Lamm_hs) (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7594 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) tptp.zero_zero_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) (tptp.aa_Pro4240683299535347697at_int (tptp.produc6840382203811409530at_int tptp.aTP_Lamm_ht) (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7595 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) tptp.zero_zero_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat tptp.aTP_Lamm_hu) (tptp.divmod_nat N (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.29 (assume a7596 (forall ((X3 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X3)) tptp.one_one_real)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real X3) tptp.one_one_real)) N))))))
% 16.06/16.29 (assume a7597 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X3)) tptp.one_one_real)) (tptp.topolo6980174941875973593q_real (tptp.aTP_Lamm_hv X3)))))
% 16.06/16.29 (assume a7598 (forall ((H tptp.real) (Z tptp.real) (K5 tptp.real) (N tptp.nat)) (=> (not (= H tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) K5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.plus_plus_real Z) H))) K5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real Z) H)) N)) (tptp.aa_nat_real (tptp.power_power_real Z) N))) H)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.power_power_real Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.aa_nat_real (tptp.power_power_real K5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real H)))))))))
% 16.06/16.29 (assume a7599 (forall ((H tptp.complex) (Z tptp.complex) (K5 tptp.real) (N tptp.nat)) (=> (not (= H tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) K5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) H))) K5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) H)) N)) (tptp.aa_nat_complex (tptp.power_power_complex Z) N))) H)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.aa_nat_real (tptp.power_power_real K5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex H)))))))))
% 16.06/16.29 (assume a7600 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.ln_ln_real X3) (tptp.suminf_real (tptp.aTP_Lamm_hw X3)))))))
% 16.06/16.29 (assume a7601 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X3)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.arctan X3) (tptp.suminf_real (tptp.aTP_Lamm_hx X3))))))
% 16.06/16.29 (assume a7602 (forall ((M2 tptp.nat) (V2 tptp.num)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2) (tptp.aa_num_int tptp.numeral_numeral_int V2)) (= M2 (tptp.aa_num_nat tptp.numeral_numeral_nat V2)))))
% 16.06/16.29 (assume a7603 (forall ((N tptp.nat) (M2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)))))
% 16.06/16.29 (assume a7604 (forall ((F tptp.fun_nat_complex)) (= (tptp.suminf_complex (tptp.aTP_Lamm_hy F)) (tptp.aa_nat_complex F tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7605 (forall ((F tptp.fun_nat_real)) (= (tptp.suminf_real (tptp.aTP_Lamm_hz F)) (tptp.aa_nat_real F tptp.zero_zero_nat))))
% 16.06/16.29 (assume a7606 (forall ((N tptp.num)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 16.06/16.29 (assume a7607 (forall ((P tptp.fun_int_bool) (Z tptp.int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N2)))))) (tptp.pp (tptp.aa_int_bool P Z))))))
% 16.06/16.29 (assume a7608 (forall ((Z tptp.int)) (=> (forall ((N2 tptp.nat)) (not (= Z (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N2)))) (not (forall ((N2 tptp.nat)) (not (= Z (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N2))))))))))
% 16.06/16.29 (assume a7609 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.29 (assume a7610 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B))))))
% 16.06/16.29 (assume a7611 (forall ((M2 tptp.nat) (N tptp.nat) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))) Z))))
% 16.06/16.29 (assume a7612 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2)))))
% 16.06/16.29 (assume a7613 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)))))
% 16.06/16.29 (assume a7614 (forall ((X tptp.nat) (Xa tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Xa)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa))))))
% 16.06/16.29 (assume a7615 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int))))
% 16.06/16.29 (assume a7616 (forall ((A tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) tptp.one_one_int))))
% 16.06/16.29 (assume a7617 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z)) (exists ((N4 tptp.nat)) (= Z (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N4))))))))
% 16.06/16.29 (assume a7618 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)) (tptp.topolo6980174941875973593q_real (tptp.power_power_real X3))))))
% 16.06/16.29 (assume a7619 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N))))))))
% 16.06/16.29 (assume a7620 (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) tptp.zero_zero_int)) (exists ((N2 tptp.nat)) (= X3 (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N2))))))))
% 16.06/16.29 (assume a7621 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N)))) tptp.zero_zero_int))))
% 16.06/16.29 (assume a7622 (forall ((P tptp.fun_int_bool) (X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X3) Y)))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X3)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)))))))
% 16.06/16.29 (assume a7623 (forall ((Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.exp_real Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.29 (assume a7624 (forall ((Z tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.exp_complex Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.29 (assume a7625 (forall ((Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.exp_real Z))) (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z))))))))
% 16.06/16.29 (assume a7626 (forall ((Z tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.exp_complex Z))) (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))))
% 16.06/16.29 (assume a7627 (= (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.suminf_real tptp.aTP_Lamm_ia)))
% 16.06/16.29 (assume a7628 (forall ((A tptp.real) (W tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.divide_divide_real A) (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.06/16.29 (assume a7629 (forall ((A tptp.complex) (W tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.numera6690914467698888265omplex W))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.06/16.29 (assume a7630 (forall ((W tptp.num) (A tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) A)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)))))
% 16.06/16.29 (assume a7631 (forall ((W tptp.num) (A tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) A)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)))))
% 16.06/16.29 (assume a7632 (forall ((A tptp.real) (W tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.06/16.29 (assume a7633 (forall ((A tptp.complex) (W tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex W))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.06/16.29 (assume a7634 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 16.06/16.29 (assume a7635 (forall ((W tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 16.06/16.29 (assume a7636 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real C)) tptp.one_one_real)) (= (tptp.suminf_real (tptp.power_power_real C)) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) C))))))
% 16.06/16.29 (assume a7637 (forall ((C tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex C)) tptp.one_one_real)) (= (tptp.suminf_complex (tptp.power_power_complex C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) C))))))
% 16.06/16.29 (assume a7638 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 16.06/16.29 (assume a7639 (forall ((W tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.numera6690914467698888265omplex W)) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 16.06/16.29 (assume a7640 (forall ((X3 tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_nat_real (tptp.power_power_real X3) N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3)) N))))
% 16.06/16.29 (assume a7641 (forall ((X3 tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3)) N))))
% 16.06/16.29 (assume a7642 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real X3)) Y)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)))))
% 16.06/16.29 (assume a7643 (forall ((X3 tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X3)) Y)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) Y)))))
% 16.06/16.29 (assume a7644 (forall ((W tptp.real) (N tptp.nat) (Z tptp.real)) (=> (= (tptp.aa_nat_real (tptp.power_power_real W) N) (tptp.aa_nat_real (tptp.power_power_real Z) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real W) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z))))))
% 16.06/16.29 (assume a7645 (forall ((W tptp.complex) (N tptp.nat) (Z tptp.complex)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex W) N) (tptp.aa_nat_complex (tptp.power_power_complex Z) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex W) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))
% 16.06/16.29 (assume a7646 (forall ((X3 tptp.real) (Y tptp.real) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y))) E)))))
% 16.06/16.29 (assume a7647 (forall ((X3 tptp.complex) (Y tptp.complex) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) Y))) E)))))
% 16.06/16.29 (assume a7648 (forall ((X3 tptp.real) (R2 tptp.real) (Y tptp.real) (S tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3)) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y)) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y))) (tptp.aa_real_real (tptp.plus_plus_real R2) S)))))))
% 16.06/16.29 (assume a7649 (forall ((X3 tptp.complex) (R2 tptp.real) (Y tptp.complex) (S tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3)) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y)) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) Y))) (tptp.aa_real_real (tptp.plus_plus_real R2) S)))))))
% 16.06/16.29 (assume a7650 (forall ((X3 tptp.real) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_nat_real (tptp.power_power_real X3) N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3)) N)))))
% 16.06/16.29 (assume a7651 (forall ((X3 tptp.complex) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex (tptp.power_power_complex X3) N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3)) N)))))
% 16.06/16.29 (assume a7652 (forall ((A tptp.real) (R2 tptp.real) (B tptp.real) (S tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real B)) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.plus_plus_real A) B))) (tptp.aa_real_real (tptp.plus_plus_real R2) S)))))))
% 16.06/16.29 (assume a7653 (forall ((A tptp.complex) (R2 tptp.real) (B tptp.complex) (S tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B)) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B))) (tptp.aa_real_real (tptp.plus_plus_real R2) S)))))))
% 16.06/16.29 (assume a7654 (forall ((X3 tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))))))
% 16.06/16.29 (assume a7655 (forall ((X3 tptp.complex) (Y tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) Y))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))))))
% 16.06/16.29 (assume a7656 (forall ((X3 tptp.real) (Y tptp.real) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y))) E)))))
% 16.06/16.29 (assume a7657 (forall ((X3 tptp.complex) (Y tptp.complex) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) Y))) E)))))
% 16.06/16.29 (assume a7658 (forall ((A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.plus_plus_real A) B))) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real B)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) C))))))
% 16.06/16.29 (assume a7659 (forall ((A tptp.complex) (B tptp.complex) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B))) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) C))))))
% 16.06/16.29 (assume a7660 (forall ((A tptp.real) (B tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real B))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.plus_plus_real A) B))))))
% 16.06/16.29 (assume a7661 (forall ((A tptp.complex) (B tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B))))))
% 16.06/16.29 (assume a7662 (forall ((W tptp.real) (N tptp.nat)) (=> (= (tptp.aa_nat_real (tptp.power_power_real W) N) tptp.one_one_real) (or (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real W) tptp.one_one_real) (= N tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a7663 (forall ((W tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex W) N) tptp.one_one_complex) (or (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex W) tptp.one_one_real) (= N tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a7664 (forall ((A tptp.real) (B tptp.real) (C tptp.real) (D tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) (tptp.aa_real_real (tptp.plus_plus_real C) D)))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.minus_minus_real A) C))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.minus_minus_real B) D)))))))
% 16.06/16.29 (assume a7665 (forall ((A tptp.complex) (B tptp.complex) (C tptp.complex) (D tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) (tptp.aa_complex_complex (tptp.plus_plus_complex C) D)))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) C))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex B) D)))))))
% 16.06/16.29 (assume a7666 (forall ((X3 tptp.real)) (=> (= (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_real) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3) tptp.one_one_real))))
% 16.06/16.29 (assume a7667 (forall ((X3 tptp.complex)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_complex) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3) tptp.one_one_real))))
% 16.06/16.29 (assume a7668 (forall ((Z tptp.real) (W tptp.real) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real W)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real Z) M2)) (tptp.aa_nat_real (tptp.power_power_real W) M2)))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.minus_minus_real Z) W)))))))))
% 16.06/16.29 (assume a7669 (forall ((Z tptp.complex) (W tptp.complex) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex W)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex Z) M2)) (tptp.aa_nat_complex (tptp.power_power_complex W) M2)))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex Z) W)))))))))
% 16.06/16.29 (assume a7670 (forall ((B tptp.nat) (K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (= (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.log (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N)) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))))))))
% 16.06/16.29 (assume a7671 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X3)) tptp.one_one_real)) (tptp.summable_real (tptp.aTP_Lamm_hx X3)))))
% 16.06/16.29 (assume a7672 (forall ((B tptp.nat) (N tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N)) K2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.log (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int)))))))
% 16.06/16.29 (assume a7673 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat))))) tptp.one_one_int)))))
% 16.06/16.29 (assume a7674 (forall ((N tptp.nat) (M2 tptp.nat) (X3 tptp.complex)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) tptp.zero_zero_complex)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))) (and (=> (= X3 tptp.one_one_complex) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) M2)))) (=> (not (= X3 tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) M2)) (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X3)))))))))
% 16.06/16.29 (assume a7675 (forall ((N tptp.nat) (M2 tptp.nat) (X3 tptp.rat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) tptp.zero_zero_rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))) (and (=> (= X3 tptp.one_one_rat) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) M2)))) (=> (not (= X3 tptp.one_one_rat)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) M2)) (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) X3)))))))))
% 16.06/16.29 (assume a7676 (forall ((N tptp.nat) (M2 tptp.nat) (X3 tptp.real)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)) (= (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) tptp.zero_zero_real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2))) (and (=> (= X3 tptp.one_one_real) (= (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) M2)))) (=> (not (= X3 tptp.one_one_real)) (= (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X3) M2)) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) X3)))))))))
% 16.06/16.29 (assume a7677 (forall ((F tptp.fun_nat_real) (K2 tptp.nat)) (= (tptp.summable_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ib F) K2)) (tptp.summable_real F))))
% 16.06/16.29 (assume a7678 (forall ((G tptp.fun_bool_real)) (= (tptp.groups502887708668150281l_real G tptp.bot_bot_set_bool) tptp.zero_zero_real)))
% 16.06/16.29 (assume a7679 (forall ((G tptp.fun_bool_rat)) (= (tptp.groups5133371213642249141ol_rat G tptp.bot_bot_set_bool) tptp.zero_zero_rat)))
% 16.06/16.29 (assume a7680 (forall ((G tptp.fun_bool_nat)) (= (tptp.groups5768501273728744877ol_nat G tptp.bot_bot_set_bool) tptp.zero_zero_nat)))
% 16.06/16.29 (assume a7681 (forall ((G tptp.fun_bool_int)) (= (tptp.groups5766010803219694601ol_int G tptp.bot_bot_set_bool) tptp.zero_zero_int)))
% 16.06/16.29 (assume a7682 (forall ((G tptp.fun_nat_rat)) (= (tptp.groups2906978787729119204at_rat G tptp.bot_bot_set_nat) tptp.zero_zero_rat)))
% 16.06/16.29 (assume a7683 (forall ((G tptp.fun_nat_int)) (= (tptp.groups3539618377306564664at_int G tptp.bot_bot_set_nat) tptp.zero_zero_int)))
% 16.06/16.29 (assume a7684 (forall ((G tptp.fun_int_real)) (= (tptp.groups8778361861064173332t_real G tptp.bot_bot_set_int) tptp.zero_zero_real)))
% 16.06/16.29 (assume a7685 (forall ((G tptp.fun_int_rat)) (= (tptp.groups3906332499630173760nt_rat G tptp.bot_bot_set_int) tptp.zero_zero_rat)))
% 16.06/16.29 (assume a7686 (forall ((G tptp.fun_int_nat)) (= (tptp.groups4541462559716669496nt_nat G tptp.bot_bot_set_int) tptp.zero_zero_nat)))
% 16.06/16.29 (assume a7687 (forall ((G tptp.fun_nat_nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) tptp.bot_bot_set_nat) tptp.zero_zero_nat)))
% 16.06/16.29 (assume a7688 (forall ((V2 tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_num_int tptp.numeral_numeral_int V2))))
% 16.06/16.29 (assume a7689 (forall ((V2 tptp.num)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_num_int tptp.numeral_numeral_int V2))))
% 16.06/16.29 (assume a7690 (forall ((F tptp.fun_nat_real) (A4 tptp.set_nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.groups6591440286371151544t_real F A4))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ic F) A4)))))
% 16.06/16.29 (assume a7691 (forall ((F tptp.fun_int_int) (A4 tptp.set_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.groups4538972089207619220nt_int F A4))) (tptp.groups4538972089207619220nt_int (tptp.aTP_Lamm_id F) A4)))))
% 16.06/16.29 (assume a7692 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.groups8097168146408367636l_real G (tptp.insert_real X3 A4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real G X3)) (tptp.groups8097168146408367636l_real G A4)))))))
% 16.06/16.29 (assume a7693 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (G tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (= (tptp.groups502887708668150281l_real G (tptp.insert_bool X3 A4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_bool_real G X3)) (tptp.groups502887708668150281l_real G A4)))))))
% 16.06/16.29 (assume a7694 (forall ((A4 tptp.set_int) (X3 tptp.int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (= (tptp.groups8778361861064173332t_real G (tptp.insert_int X3 A4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real G X3)) (tptp.groups8778361861064173332t_real G A4)))))))
% 16.06/16.29 (assume a7695 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (= (tptp.groups5808333547571424918x_real G (tptp.insert_complex X3 A4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real G X3)) (tptp.groups5808333547571424918x_real G A4)))))))
% 16.06/16.29 (assume a7696 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.groups1300246762558778688al_rat G (tptp.insert_real X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_real_rat G X3)) (tptp.groups1300246762558778688al_rat G A4)))))))
% 16.06/16.29 (assume a7697 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (G tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (= (tptp.groups5133371213642249141ol_rat G (tptp.insert_bool X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_bool_rat G X3)) (tptp.groups5133371213642249141ol_rat G A4)))))))
% 16.06/16.29 (assume a7698 (forall ((A4 tptp.set_int) (X3 tptp.int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (= (tptp.groups3906332499630173760nt_rat G (tptp.insert_int X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat G X3)) (tptp.groups3906332499630173760nt_rat G A4)))))))
% 16.06/16.29 (assume a7699 (forall ((A4 tptp.set_nat) (X3 tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4))) (= (tptp.groups2906978787729119204at_rat G (tptp.insert_nat X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat G X3)) (tptp.groups2906978787729119204at_rat G A4)))))))
% 16.06/16.29 (assume a7700 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (= (tptp.groups5058264527183730370ex_rat G (tptp.insert_complex X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_complex_rat G X3)) (tptp.groups5058264527183730370ex_rat G A4)))))))
% 16.06/16.29 (assume a7701 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.groups1935376822645274424al_nat G (tptp.insert_real X3 A4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_real_nat G X3)) (tptp.groups1935376822645274424al_nat G A4)))))))
% 16.06/16.29 (assume a7702 (forall ((X3 tptp.rat) (Z tptp.int)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) Z))))
% 16.06/16.29 (assume a7703 (forall ((X3 tptp.real) (Z tptp.int)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) Z))))
% 16.06/16.29 (assume a7704 (forall ((F tptp.fun_nat_real) (A4 tptp.set_nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ic F) A4)))))
% 16.06/16.29 (assume a7705 (forall ((F tptp.fun_int_int) (A4 tptp.set_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.groups4538972089207619220nt_int (tptp.aTP_Lamm_id F) A4)))))
% 16.06/16.29 (assume a7706 (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.zero_zero_real)))))
% 16.06/16.29 (assume a7707 (forall ((X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a7708 (forall ((X3 tptp.real) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_num_real tptp.numeral_numeral_real V2))))))
% 16.06/16.29 (assume a7709 (forall ((X3 tptp.rat) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))))))
% 16.06/16.29 (assume a7710 (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) tptp.one_one_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.zero_zero_real)))))
% 16.06/16.29 (assume a7711 (forall ((X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) tptp.one_one_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a7712 (forall ((V2 tptp.num) (X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_real_int tptp.archim7802044766580827645g_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) X3)))))
% 16.06/16.29 (assume a7713 (forall ((V2 tptp.num) (X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) X3)))))
% 16.06/16.29 (assume a7714 (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) tptp.one_one_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)))))
% 16.06/16.29 (assume a7715 (forall ((X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) tptp.one_one_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) tptp.one_one_rat)))))
% 16.06/16.29 (assume a7716 (forall ((X3 tptp.real) (V2 tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2)))))
% 16.06/16.29 (assume a7717 (forall ((X3 tptp.rat) (V2 tptp.num)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2)))))
% 16.06/16.29 (assume a7718 (forall ((V2 tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))))
% 16.06/16.29 (assume a7719 (forall ((V2 tptp.num)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))))
% 16.06/16.29 (assume a7720 (forall ((X3 tptp.rat)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) tptp.one_one_rat)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) tptp.one_one_int))))
% 16.06/16.29 (assume a7721 (forall ((X3 tptp.real)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.plus_plus_real X3) tptp.one_one_real)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) tptp.one_one_int))))
% 16.06/16.29 (assume a7722 (forall ((X3 tptp.real) (V2 tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.minus_minus_real X3) (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2)))))
% 16.06/16.29 (assume a7723 (forall ((X3 tptp.rat) (V2 tptp.num)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2)))))
% 16.06/16.29 (assume a7724 (forall ((X3 tptp.num) (N tptp.nat)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))))
% 16.06/16.29 (assume a7725 (forall ((X3 tptp.num) (N tptp.nat)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))))
% 16.06/16.29 (assume a7726 (forall ((C tptp.real)) (= (tptp.summable_real (tptp.power_power_real C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real C)) tptp.one_one_real)))))
% 16.06/16.29 (assume a7727 (forall ((C tptp.complex)) (= (tptp.summable_complex (tptp.power_power_complex C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex C)) tptp.one_one_real)))))
% 16.06/16.29 (assume a7728 (forall ((N tptp.nat) (M2 tptp.nat) (G tptp.fun_nat_rat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) tptp.zero_zero_rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2))) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.06/16.29 (assume a7729 (forall ((N tptp.nat) (M2 tptp.nat) (G tptp.fun_nat_int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) tptp.zero_zero_int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2))) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.06/16.29 (assume a7730 (forall ((N tptp.nat) (M2 tptp.nat) (G tptp.fun_nat_nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) tptp.zero_zero_nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.06/16.29 (assume a7731 (forall ((N tptp.nat) (M2 tptp.nat) (G tptp.fun_nat_real)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) tptp.zero_zero_real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2))) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.06/16.29 (assume a7732 (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 16.06/16.29 (assume a7733 (forall ((X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))
% 16.06/16.29 (assume a7734 (forall ((A4 tptp.set_nat) (C tptp.fun_nat_complex)) (and (=> (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4))) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_hy C) A4) (tptp.aa_nat_complex C tptp.zero_zero_nat))) (=> (not (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4)))) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_hy C) A4) tptp.zero_zero_complex)))))
% 16.06/16.29 (assume a7735 (forall ((A4 tptp.set_nat) (C tptp.fun_nat_rat)) (and (=> (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4))) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_ie C) A4) (tptp.aa_nat_rat C tptp.zero_zero_nat))) (=> (not (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4)))) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_ie C) A4) tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a7736 (forall ((A4 tptp.set_nat) (C tptp.fun_nat_real)) (and (=> (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4))) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_hz C) A4) (tptp.aa_nat_real C tptp.zero_zero_nat))) (=> (not (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4)))) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_hz C) A4) tptp.zero_zero_real)))))
% 16.06/16.29 (assume a7737 (forall ((A tptp.num) (B tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real A)) (tptp.aa_num_real tptp.numeral_numeral_real B))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int A))) (tptp.aa_num_int tptp.numeral_numeral_int B))))))
% 16.06/16.29 (assume a7738 (forall ((X3 tptp.real) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) tptp.one_one_real))))))
% 16.06/16.29 (assume a7739 (forall ((X3 tptp.rat) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) tptp.one_one_rat))))))
% 16.06/16.29 (assume a7740 (forall ((V2 tptp.num) (X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_real_int tptp.archim7802044766580827645g_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) tptp.one_one_real)) X3)))))
% 16.06/16.29 (assume a7741 (forall ((V2 tptp.num) (X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) tptp.one_one_rat)) X3)))))
% 16.06/16.29 (assume a7742 (forall ((X3 tptp.real) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2)))))))
% 16.06/16.29 (assume a7743 (forall ((X3 tptp.rat) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)))))))
% 16.06/16.29 (assume a7744 (forall ((V2 tptp.num) (X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_real_int tptp.archim7802044766580827645g_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) X3)))))
% 16.06/16.29 (assume a7745 (forall ((V2 tptp.num) (X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) X3)))))
% 16.06/16.29 (assume a7746 (forall ((A4 tptp.set_nat) (C tptp.fun_nat_complex) (D tptp.fun_nat_complex)) (and (=> (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4))) (= (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_if C) D) A4) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex C tptp.zero_zero_nat)) (tptp.aa_nat_complex D tptp.zero_zero_nat)))) (=> (not (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4)))) (= (tptp.groups2073611262835488442omplex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_if C) D) A4) tptp.zero_zero_complex)))))
% 16.06/16.29 (assume a7747 (forall ((A4 tptp.set_nat) (C tptp.fun_nat_rat) (D tptp.fun_nat_rat)) (and (=> (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4))) (= (tptp.groups2906978787729119204at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_ig C) D) A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_nat_rat C tptp.zero_zero_nat)) (tptp.aa_nat_rat D tptp.zero_zero_nat)))) (=> (not (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4)))) (= (tptp.groups2906978787729119204at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_ig C) D) A4) tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a7748 (forall ((A4 tptp.set_nat) (C tptp.fun_nat_real) (D tptp.fun_nat_real)) (and (=> (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4))) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ih C) D) A4) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real C tptp.zero_zero_nat)) (tptp.aa_nat_real D tptp.zero_zero_nat)))) (=> (not (and (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4)))) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ih C) D) A4) tptp.zero_zero_real)))))
% 16.06/16.29 (assume a7749 (forall ((A tptp.num) (B tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real A)) (tptp.aa_num_real tptp.numeral_numeral_real B)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int A)) (tptp.aa_num_int tptp.numeral_numeral_int B))))))
% 16.06/16.29 (assume a7750 (forall ((X3 tptp.real) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) tptp.one_one_real))))))
% 16.06/16.29 (assume a7751 (forall ((X3 tptp.rat) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) tptp.one_one_rat))))))
% 16.06/16.29 (assume a7752 (forall ((V2 tptp.num) (X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_real_int tptp.archim7802044766580827645g_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) tptp.one_one_real)) X3)))))
% 16.06/16.29 (assume a7753 (forall ((V2 tptp.num) (X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) tptp.one_one_rat)) X3)))))
% 16.06/16.29 (assume a7754 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (exists ((N6 tptp.nat)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N6) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_nat_real F N2))) (tptp.aa_nat_real G N2)))))) (=> (tptp.summable_real G) (tptp.summable_real F)))))
% 16.06/16.29 (assume a7755 (forall ((F tptp.fun_nat_complex) (G tptp.fun_nat_real)) (=> (exists ((N6 tptp.nat)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N6) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex F N2))) (tptp.aa_nat_real G N2)))))) (=> (tptp.summable_real G) (tptp.summable_complex F)))))
% 16.06/16.29 (assume a7756 (forall ((G tptp.fun_nat_real) (N5 tptp.nat) (F tptp.fun_nat_real)) (=> (tptp.summable_real G) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N5) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_nat_real F N2))) (tptp.aa_nat_real G N2))))) (tptp.summable_real F)))))
% 16.06/16.29 (assume a7757 (forall ((G tptp.fun_nat_real) (N5 tptp.nat) (F tptp.fun_nat_complex)) (=> (tptp.summable_real G) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N5) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex F N2))) (tptp.aa_nat_real G N2))))) (tptp.summable_complex F)))))
% 16.06/16.29 (assume a7758 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (tptp.summable_real G) (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ii F) G))))))
% 16.06/16.29 (assume a7759 (forall ((F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (tptp.summable_nat G) (tptp.summable_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_ij F) G))))))
% 16.06/16.29 (assume a7760 (forall ((F tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (tptp.summable_int G) (tptp.summable_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_ik F) G))))))
% 16.06/16.29 (assume a7761 (forall ((F tptp.fun_nat_real)) (= (tptp.summable_real (tptp.aTP_Lamm_il F)) (tptp.summable_real F))))
% 16.06/16.29 (assume a7762 (forall ((F tptp.fun_nat_real) (K2 tptp.nat)) (=> (tptp.summable_real F) (tptp.summable_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ib F) K2)))))
% 16.06/16.29 (assume a7763 (forall ((K5 tptp.set_complex) (F tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) K5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F I3)) (tptp.aa_complex_rat G I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups5058264527183730370ex_rat F K5)) (tptp.groups5058264527183730370ex_rat G K5))))))
% 16.06/16.29 (assume a7764 (forall ((K5 tptp.set_real) (F tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) K5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F I3)) (tptp.aa_real_rat G I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1300246762558778688al_rat F K5)) (tptp.groups1300246762558778688al_rat G K5))))))
% 16.06/16.29 (assume a7765 (forall ((K5 tptp.set_bool) (F tptp.fun_bool_rat) (G tptp.fun_bool_rat)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) K5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_bool_rat F I3)) (tptp.aa_bool_rat G I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups5133371213642249141ol_rat F K5)) (tptp.groups5133371213642249141ol_rat G K5))))))
% 16.06/16.29 (assume a7766 (forall ((K5 tptp.set_nat) (F tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) K5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F I3)) (tptp.aa_nat_rat G I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2906978787729119204at_rat F K5)) (tptp.groups2906978787729119204at_rat G K5))))))
% 16.06/16.29 (assume a7767 (forall ((K5 tptp.set_int) (F tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) K5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F I3)) (tptp.aa_int_rat G I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups3906332499630173760nt_rat F K5)) (tptp.groups3906332499630173760nt_rat G K5))))))
% 16.06/16.29 (assume a7768 (forall ((K5 tptp.set_complex) (F tptp.fun_complex_nat) (G tptp.fun_complex_nat)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F I3)) (tptp.aa_complex_nat G I3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups5693394587270226106ex_nat F K5)) (tptp.groups5693394587270226106ex_nat G K5))))))
% 16.06/16.29 (assume a7769 (forall ((K5 tptp.set_real) (F tptp.fun_real_nat) (G tptp.fun_real_nat)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F I3)) (tptp.aa_real_nat G I3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups1935376822645274424al_nat F K5)) (tptp.groups1935376822645274424al_nat G K5))))))
% 16.06/16.29 (assume a7770 (forall ((K5 tptp.set_bool) (F tptp.fun_bool_nat) (G tptp.fun_bool_nat)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_bool_nat F I3)) (tptp.aa_bool_nat G I3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups5768501273728744877ol_nat F K5)) (tptp.groups5768501273728744877ol_nat G K5))))))
% 16.06/16.29 (assume a7771 (forall ((K5 tptp.set_int) (F tptp.fun_int_nat) (G tptp.fun_int_nat)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F I3)) (tptp.aa_int_nat G I3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups4541462559716669496nt_nat F K5)) (tptp.groups4541462559716669496nt_nat G K5))))))
% 16.06/16.29 (assume a7772 (forall ((K5 tptp.set_complex) (F tptp.fun_complex_int) (G tptp.fun_complex_int)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) K5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_complex_int F I3)) (tptp.aa_complex_int G I3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups5690904116761175830ex_int F K5)) (tptp.groups5690904116761175830ex_int G K5))))))
% 16.06/16.29 (assume a7773 (forall ((G tptp.fun_nat_nat) (H tptp.fun_nat_nat) (A4 tptp.set_nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_ij G) H)) A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A4)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat H) A4)))))
% 16.06/16.29 (assume a7774 (forall ((G tptp.fun_complex_complex) (H tptp.fun_complex_complex) (A4 tptp.set_complex)) (= (tptp.groups7754918857620584856omplex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_im G) H) A4) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups7754918857620584856omplex G A4)) (tptp.groups7754918857620584856omplex H A4)))))
% 16.06/16.29 (assume a7775 (forall ((G tptp.fun_nat_real) (H tptp.fun_nat_real) (A4 tptp.set_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ii G) H) A4) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G A4)) (tptp.groups6591440286371151544t_real H A4)))))
% 16.06/16.29 (assume a7776 (forall ((G tptp.fun_int_int) (H tptp.fun_int_int) (A4 tptp.set_int)) (= (tptp.groups4538972089207619220nt_int (tptp.aa_fun6280345759651049192nt_int (tptp.aTP_Lamm_in G) H) A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int G A4)) (tptp.groups4538972089207619220nt_int H A4)))))
% 16.06/16.29 (assume a7777 (forall ((F tptp.fun_nat_int) (I5 tptp.set_nat)) (=> (tptp.summable_int F) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I5)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) (tptp.uminus5710092332889474511et_nat I5))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int F N2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F I5)) (tptp.suminf_int F))))))))
% 16.06/16.29 (assume a7778 (forall ((F tptp.fun_nat_nat) (I5 tptp.set_nat)) (=> (tptp.summable_nat F) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I5)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) (tptp.uminus5710092332889474511et_nat I5))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F N2))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) I5)) (tptp.suminf_nat F))))))))
% 16.06/16.29 (assume a7779 (forall ((F tptp.fun_nat_real) (I5 tptp.set_nat)) (=> (tptp.summable_real F) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I5)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) (tptp.uminus5710092332889474511et_nat I5))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F N2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real F I5)) (tptp.suminf_real F))))))))
% 16.06/16.29 (assume a7780 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_real)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F X5)) tptp.zero_zero_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups5808333547571424918x_real F A4)) tptp.zero_zero_real)))))
% 16.06/16.29 (assume a7781 (forall ((A4 tptp.set_real) (F tptp.fun_real_real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F X5)) tptp.zero_zero_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups8097168146408367636l_real F A4)) tptp.zero_zero_real)))))
% 16.06/16.29 (assume a7782 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_real)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_bool_real F X5)) tptp.zero_zero_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups502887708668150281l_real F A4)) tptp.zero_zero_real)))))
% 16.06/16.29 (assume a7783 (forall ((A4 tptp.set_int) (F tptp.fun_int_real)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F X5)) tptp.zero_zero_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups8778361861064173332t_real F A4)) tptp.zero_zero_real)))))
% 16.06/16.29 (assume a7784 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F X5)) tptp.zero_zero_rat)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups5058264527183730370ex_rat F A4)) tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a7785 (forall ((A4 tptp.set_real) (F tptp.fun_real_rat)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F X5)) tptp.zero_zero_rat)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1300246762558778688al_rat F A4)) tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a7786 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_rat)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_bool_rat F X5)) tptp.zero_zero_rat)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups5133371213642249141ol_rat F A4)) tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a7787 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X5)) tptp.zero_zero_rat)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2906978787729119204at_rat F A4)) tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a7788 (forall ((A4 tptp.set_int) (F tptp.fun_int_rat)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F X5)) tptp.zero_zero_rat)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups3906332499630173760nt_rat F A4)) tptp.zero_zero_rat)))))
% 16.06/16.29 (assume a7789 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F X5)) tptp.zero_zero_nat)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups5693394587270226106ex_nat F A4)) tptp.zero_zero_nat)))))
% 16.06/16.29 (assume a7790 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_real)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.groups5808333547571424918x_real F A4))))))
% 16.06/16.29 (assume a7791 (forall ((A4 tptp.set_real) (F tptp.fun_real_real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.groups8097168146408367636l_real F A4))))))
% 16.06/16.29 (assume a7792 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_real)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.groups502887708668150281l_real F A4))))))
% 16.06/16.29 (assume a7793 (forall ((A4 tptp.set_int) (F tptp.fun_int_real)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.groups8778361861064173332t_real F A4))))))
% 16.06/16.29 (assume a7794 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.groups5058264527183730370ex_rat F A4))))))
% 16.06/16.29 (assume a7795 (forall ((A4 tptp.set_real) (F tptp.fun_real_rat)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.groups1300246762558778688al_rat F A4))))))
% 16.06/16.29 (assume a7796 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_rat)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.groups5133371213642249141ol_rat F A4))))))
% 16.06/16.29 (assume a7797 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.groups2906978787729119204at_rat F A4))))))
% 16.06/16.29 (assume a7798 (forall ((A4 tptp.set_int) (F tptp.fun_int_rat)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.groups3906332499630173760nt_rat F A4))))))
% 16.06/16.29 (assume a7799 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_complex_nat F X5))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.groups5693394587270226106ex_nat F A4))))))
% 16.06/16.29 (assume a7800 (forall ((F tptp.fun_nat_real) (X3 tptp.real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io F) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3))) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ip F) Z))))))
% 16.06/16.29 (assume a7801 (forall ((F tptp.fun_nat_complex) (X3 tptp.complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq F) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3))) (tptp.summable_real (tptp.aa_com20334259897932645t_real (tptp.aTP_Lamm_ir F) Z))))))
% 16.06/16.29 (assume a7802 (forall ((F tptp.fun_real_rat) (I5 tptp.set_real) (G tptp.fun_real_rat) (I tptp.real)) (=> (= (tptp.groups1300246762558778688al_rat F I5) (tptp.groups1300246762558778688al_rat G I5)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F I3)) (tptp.aa_real_rat G I3))))) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I5)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (= (tptp.aa_real_rat F I) (tptp.aa_real_rat G I))))))))
% 16.06/16.29 (assume a7803 (forall ((F tptp.fun_bool_rat) (I5 tptp.set_bool) (G tptp.fun_bool_rat) (I tptp.bool)) (=> (= (tptp.groups5133371213642249141ol_rat F I5) (tptp.groups5133371213642249141ol_rat G I5)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_bool_rat F I3)) (tptp.aa_bool_rat G I3))))) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) I5)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool I5)) (= (tptp.aa_bool_rat F I) (tptp.aa_bool_rat G I))))))))
% 16.06/16.29 (assume a7804 (forall ((F tptp.fun_int_rat) (I5 tptp.set_int) (G tptp.fun_int_rat) (I tptp.int)) (=> (= (tptp.groups3906332499630173760nt_rat F I5) (tptp.groups3906332499630173760nt_rat G I5)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F I3)) (tptp.aa_int_rat G I3))))) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) I5)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I5)) (= (tptp.aa_int_rat F I) (tptp.aa_int_rat G I))))))))
% 16.06/16.29 (assume a7805 (forall ((F tptp.fun_nat_rat) (I5 tptp.set_nat) (G tptp.fun_nat_rat) (I tptp.nat)) (=> (= (tptp.groups2906978787729119204at_rat F I5) (tptp.groups2906978787729119204at_rat G I5)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F I3)) (tptp.aa_nat_rat G I3))))) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) I5)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I5)) (= (tptp.aa_nat_rat F I) (tptp.aa_nat_rat G I))))))))
% 16.06/16.29 (assume a7806 (forall ((F tptp.fun_complex_rat) (I5 tptp.set_complex) (G tptp.fun_complex_rat) (I tptp.complex)) (=> (= (tptp.groups5058264527183730370ex_rat F I5) (tptp.groups5058264527183730370ex_rat G I5)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F I3)) (tptp.aa_complex_rat G I3))))) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) I5)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I5)) (= (tptp.aa_complex_rat F I) (tptp.aa_complex_rat G I))))))))
% 16.06/16.29 (assume a7807 (forall ((F tptp.fun_real_nat) (I5 tptp.set_real) (G tptp.fun_real_nat) (I tptp.real)) (=> (= (tptp.groups1935376822645274424al_nat F I5) (tptp.groups1935376822645274424al_nat G I5)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F I3)) (tptp.aa_real_nat G I3))))) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I5)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (= (tptp.aa_real_nat F I) (tptp.aa_real_nat G I))))))))
% 16.06/16.29 (assume a7808 (forall ((F tptp.fun_bool_nat) (I5 tptp.set_bool) (G tptp.fun_bool_nat) (I tptp.bool)) (=> (= (tptp.groups5768501273728744877ol_nat F I5) (tptp.groups5768501273728744877ol_nat G I5)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_bool_nat F I3)) (tptp.aa_bool_nat G I3))))) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) I5)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool I5)) (= (tptp.aa_bool_nat F I) (tptp.aa_bool_nat G I))))))))
% 16.06/16.29 (assume a7809 (forall ((F tptp.fun_int_nat) (I5 tptp.set_int) (G tptp.fun_int_nat) (I tptp.int)) (=> (= (tptp.groups4541462559716669496nt_nat F I5) (tptp.groups4541462559716669496nt_nat G I5)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat F I3)) (tptp.aa_int_nat G I3))))) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) I5)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I5)) (= (tptp.aa_int_nat F I) (tptp.aa_int_nat G I))))))))
% 16.06/16.29 (assume a7810 (forall ((F tptp.fun_complex_nat) (I5 tptp.set_complex) (G tptp.fun_complex_nat) (I tptp.complex)) (=> (= (tptp.groups5693394587270226106ex_nat F I5) (tptp.groups5693394587270226106ex_nat G I5)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F I3)) (tptp.aa_complex_nat G I3))))) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) I5)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I5)) (= (tptp.aa_complex_nat F I) (tptp.aa_complex_nat G I))))))))
% 16.06/16.29 (assume a7811 (forall ((F tptp.fun_real_int) (I5 tptp.set_real) (G tptp.fun_real_int) (I tptp.real)) (=> (= (tptp.groups1932886352136224148al_int F I5) (tptp.groups1932886352136224148al_int G I5)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int F I3)) (tptp.aa_real_int G I3))))) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I5)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (= (tptp.aa_real_int F I) (tptp.aa_real_int G I))))))))
% 16.06/16.29 (assume a7812 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real G N2)))) (=> (tptp.summable_real F) (=> (tptp.summable_real G) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.suminf_real F)) (tptp.suminf_real G))))))))
% 16.06/16.29 (assume a7813 (forall ((F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N2)) (tptp.aa_nat_nat G N2)))) (=> (tptp.summable_nat F) (=> (tptp.summable_nat G) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.suminf_nat F)) (tptp.suminf_nat G))))))))
% 16.06/16.29 (assume a7814 (forall ((F tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N2)) (tptp.aa_nat_int G N2)))) (=> (tptp.summable_int F) (=> (tptp.summable_int G) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.suminf_int F)) (tptp.suminf_int G))))))))
% 16.06/16.29 (assume a7815 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4))) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat tptp.suc X5)) A4)) (= (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc X5)) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc X5))))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A4))))))
% 16.06/16.29 (assume a7816 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) A4))) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat tptp.suc X5)) A4)) (= (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc X5)) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc X5))))) (= (tptp.groups6591440286371151544t_real F A4) (tptp.groups6591440286371151544t_real G A4))))))
% 16.06/16.29 (assume a7817 (forall ((Y tptp.real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real Y)) (tptp.aa_real_int tptp.archim7802044766580827645g_real X3))))))
% 16.06/16.29 (assume a7818 (forall ((Y tptp.rat) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat Y)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3))))))
% 16.06/16.29 (assume a7819 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real X3))))))
% 16.06/16.29 (assume a7820 (forall ((X3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3))))))
% 16.06/16.29 (assume a7821 (tptp.summable_real (tptp.power_power_real tptp.zero_zero_real)))
% 16.06/16.29 (assume a7822 (tptp.summable_int (tptp.power_power_int tptp.zero_zero_int)))
% 16.06/16.29 (assume a7823 (tptp.summable_complex (tptp.power_power_complex tptp.zero_zero_complex)))
% 16.06/16.29 (assume a7824 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (tptp.summable_real G) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.suminf_real F)) (tptp.suminf_real G)) (tptp.suminf_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ii F) G)))))))
% 16.06/16.29 (assume a7825 (forall ((F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (tptp.summable_nat G) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.suminf_nat F)) (tptp.suminf_nat G)) (tptp.suminf_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_ij F) G)))))))
% 16.06/16.29 (assume a7826 (forall ((F tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (tptp.summable_int G) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.suminf_int F)) (tptp.suminf_int G)) (tptp.suminf_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_ik F) G)))))))
% 16.06/16.29 (assume a7827 (forall ((G tptp.fun_nat_nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_is G)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.29 (assume a7828 (forall ((G tptp.fun_nat_real) (M2 tptp.nat) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_il G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.29 (assume a7829 (forall ((F tptp.fun_nat_complex) (E tptp.real)) (=> (tptp.summable_complex F) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (not (forall ((N7 tptp.nat)) (not (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) M3)) (forall ((N8 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.groups2073611262835488442omplex F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M3) N8)))) E))))))))))))
% 16.06/16.29 (assume a7830 (forall ((F tptp.fun_nat_real) (E tptp.real)) (=> (tptp.summable_real F) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (not (forall ((N7 tptp.nat)) (not (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) M3)) (forall ((N8 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M3) N8)))) E))))))))))))
% 16.06/16.29 (assume a7831 (forall ((G tptp.fun_nat_nat) (M2 tptp.nat) (K2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K2))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_it G) K2)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.29 (assume a7832 (forall ((G tptp.fun_nat_real) (M2 tptp.nat) (K2 tptp.nat) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K2))) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ib G) K2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.29 (assume a7833 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F N2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.suminf_real F)))))))
% 16.06/16.29 (assume a7834 (forall ((F tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F N2)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.suminf_nat F)))))))
% 16.06/16.29 (assume a7835 (forall ((F tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int F N2)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.suminf_int F)))))))
% 16.06/16.29 (assume a7836 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F N2)))) (= (= (tptp.suminf_real F) tptp.zero_zero_real) (forall ((N4 tptp.nat)) (= (tptp.aa_nat_real F N4) tptp.zero_zero_real)))))))
% 16.06/16.29 (assume a7837 (forall ((F tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F N2)))) (= (= (tptp.suminf_nat F) tptp.zero_zero_nat) (forall ((N4 tptp.nat)) (= (tptp.aa_nat_nat F N4) tptp.zero_zero_nat)))))))
% 16.06/16.29 (assume a7838 (forall ((F tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int F N2)))) (= (= (tptp.suminf_int F) tptp.zero_zero_int) (forall ((N4 tptp.nat)) (= (tptp.aa_nat_int F N4) tptp.zero_zero_int)))))))
% 16.06/16.29 (assume a7839 (forall ((A4 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X5))))) (= (= (tptp.groups8097168146408367636l_real F A4) tptp.zero_zero_real) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A4)) (= (tptp.aa_real_real F X4) tptp.zero_zero_real))))))))
% 16.06/16.29 (assume a7840 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real F X5))))) (= (= (tptp.groups502887708668150281l_real F A4) tptp.zero_zero_real) (forall ((X4 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X4) A4)) (= (tptp.aa_bool_real F X4) tptp.zero_zero_real))))))))
% 16.06/16.29 (assume a7841 (forall ((A4 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F X5))))) (= (= (tptp.groups8778361861064173332t_real F A4) tptp.zero_zero_real) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A4)) (= (tptp.aa_int_real F X4) tptp.zero_zero_real))))))))
% 16.06/16.29 (assume a7842 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F X5))))) (= (= (tptp.groups5808333547571424918x_real F A4) tptp.zero_zero_real) (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A4)) (= (tptp.aa_complex_real F X4) tptp.zero_zero_real))))))))
% 16.06/16.29 (assume a7843 (forall ((A4 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F X5))))) (= (= (tptp.groups1300246762558778688al_rat F A4) tptp.zero_zero_rat) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A4)) (= (tptp.aa_real_rat F X4) tptp.zero_zero_rat))))))))
% 16.06/16.29 (assume a7844 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F X5))))) (= (= (tptp.groups5133371213642249141ol_rat F A4) tptp.zero_zero_rat) (forall ((X4 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X4) A4)) (= (tptp.aa_bool_rat F X4) tptp.zero_zero_rat))))))))
% 16.06/16.29 (assume a7845 (forall ((A4 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F X5))))) (= (= (tptp.groups3906332499630173760nt_rat F A4) tptp.zero_zero_rat) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A4)) (= (tptp.aa_int_rat F X4) tptp.zero_zero_rat))))))))
% 16.06/16.29 (assume a7846 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F X5))))) (= (= (tptp.groups2906978787729119204at_rat F A4) tptp.zero_zero_rat) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A4)) (= (tptp.aa_nat_rat F X4) tptp.zero_zero_rat))))))))
% 16.06/16.29 (assume a7847 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F X5))))) (= (= (tptp.groups5058264527183730370ex_rat F A4) tptp.zero_zero_rat) (forall ((X4 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A4)) (= (tptp.aa_complex_rat F X4) tptp.zero_zero_rat))))))))
% 16.06/16.29 (assume a7848 (forall ((A4 tptp.set_real) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_real_nat F X5))))) (= (= (tptp.groups1935376822645274424al_nat F A4) tptp.zero_zero_nat) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X4) A4)) (= (tptp.aa_real_nat F X4) tptp.zero_zero_nat))))))))
% 16.06/16.29 (assume a7849 (forall ((S tptp.set_complex) (T tptp.set_complex) (G tptp.fun_complex_real) (I tptp.fun_complex_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real G X5))))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_complex I Xa) X5) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F X5)) (tptp.aa_complex_real G Xa))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups5808333547571424918x_real F S)) (tptp.groups5808333547571424918x_real G T)))))))))
% 16.06/16.29 (assume a7850 (forall ((S tptp.set_nat) (T tptp.set_nat) (G tptp.fun_nat_rat) (I tptp.fun_nat_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) T)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat G X5))))) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) S)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) T)) (= (tptp.aa_nat_nat I Xa) X5) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X5)) (tptp.aa_nat_rat G Xa))))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2906978787729119204at_rat F S)) (tptp.groups2906978787729119204at_rat G T)))))))))
% 16.06/16.29 (assume a7851 (forall ((S tptp.set_nat) (T tptp.set_complex) (G tptp.fun_complex_rat) (I tptp.fun_complex_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) T)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat G X5))))) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) S)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_nat I Xa) X5) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X5)) (tptp.aa_complex_rat G Xa))))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2906978787729119204at_rat F S)) (tptp.groups5058264527183730370ex_rat G T)))))))))
% 16.06/16.29 (assume a7852 (forall ((S tptp.set_complex) (T tptp.set_nat) (G tptp.fun_nat_rat) (I tptp.fun_nat_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) T)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat G X5))))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) T)) (= (tptp.aa_nat_complex I Xa) X5) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F X5)) (tptp.aa_nat_rat G Xa))))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups5058264527183730370ex_rat F S)) (tptp.groups2906978787729119204at_rat G T)))))))))
% 16.06/16.29 (assume a7853 (forall ((S tptp.set_complex) (T tptp.set_complex) (G tptp.fun_complex_rat) (I tptp.fun_complex_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) T)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat G X5))))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_complex I Xa) X5) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F X5)) (tptp.aa_complex_rat G Xa))))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups5058264527183730370ex_rat F S)) (tptp.groups5058264527183730370ex_rat G T)))))))))
% 16.06/16.29 (assume a7854 (forall ((S tptp.set_complex) (T tptp.set_complex) (G tptp.fun_complex_nat) (I tptp.fun_complex_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) T)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_complex_nat G X5))))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_complex I Xa) X5) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F X5)) (tptp.aa_complex_nat G Xa))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups5693394587270226106ex_nat F S)) (tptp.groups5693394587270226106ex_nat G T)))))))))
% 16.06/16.29 (assume a7855 (forall ((S tptp.set_nat) (T tptp.set_nat) (G tptp.fun_nat_int) (I tptp.fun_nat_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) T)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int G X5))))) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) S)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) T)) (= (tptp.aa_nat_nat I Xa) X5) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F X5)) (tptp.aa_nat_int G Xa))))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F S)) (tptp.groups3539618377306564664at_int G T)))))))))
% 16.06/16.29 (assume a7856 (forall ((S tptp.set_nat) (T tptp.set_complex) (G tptp.fun_complex_int) (I tptp.fun_complex_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) T)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_complex_int G X5))))) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) S)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_nat I Xa) X5) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F X5)) (tptp.aa_complex_int G Xa))))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F S)) (tptp.groups5690904116761175830ex_int G T)))))))))
% 16.06/16.29 (assume a7857 (forall ((S tptp.set_complex) (T tptp.set_nat) (G tptp.fun_nat_int) (I tptp.fun_nat_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) T)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int G X5))))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S)) (exists ((Xa tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa) T)) (= (tptp.aa_nat_complex I Xa) X5) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_complex_int F X5)) (tptp.aa_nat_int G Xa))))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups5690904116761175830ex_int F S)) (tptp.groups3539618377306564664at_int G T)))))))))
% 16.06/16.29 (assume a7858 (forall ((S tptp.set_complex) (T tptp.set_complex) (G tptp.fun_complex_int) (I tptp.fun_complex_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) T)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_complex_int G X5))))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S)) (exists ((Xa tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa) T)) (= (tptp.aa_complex_complex I Xa) X5) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_complex_int F X5)) (tptp.aa_complex_int G Xa))))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups5690904116761175830ex_int F S)) (tptp.groups5690904116761175830ex_int G T)))))))))
% 16.06/16.29 (assume a7859 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F X5)) (tptp.aa_complex_real G X5))))) (=> (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real F X)) (tptp.aa_complex_real G X))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups5808333547571424918x_real F A4)) (tptp.groups5808333547571424918x_real G A4))))))))
% 16.06/16.29 (assume a7860 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X5)) (tptp.aa_nat_rat G X5))))) (=> (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X)) (tptp.aa_nat_rat G X))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups2906978787729119204at_rat F A4)) (tptp.groups2906978787729119204at_rat G A4))))))))
% 16.06/16.29 (assume a7861 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F X5)) (tptp.aa_complex_rat G X5))))) (=> (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_complex_rat F X)) (tptp.aa_complex_rat G X))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups5058264527183730370ex_rat F A4)) (tptp.groups5058264527183730370ex_rat G A4))))))))
% 16.06/16.29 (assume a7862 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_nat) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat F X5)) (tptp.aa_complex_nat G X5))))) (=> (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_complex_nat F X)) (tptp.aa_complex_nat G X))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups5693394587270226106ex_nat F A4)) (tptp.groups5693394587270226106ex_nat G A4))))))))
% 16.06/16.29 (assume a7863 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F X5)) (tptp.aa_nat_int G X5))))) (=> (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F X)) (tptp.aa_nat_int G X))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups3539618377306564664at_int F A4)) (tptp.groups3539618377306564664at_int G A4))))))))
% 16.06/16.29 (assume a7864 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_int) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_complex_int F X5)) (tptp.aa_complex_int G X5))))) (=> (exists ((X tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_complex_int F X)) (tptp.aa_complex_int G X))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups5690904116761175830ex_int F A4)) (tptp.groups5690904116761175830ex_int G A4))))))))
% 16.06/16.29 (assume a7865 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F X5)) (tptp.aa_nat_nat G X5))))) (=> (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F X)) (tptp.aa_nat_nat G X))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A4))))))))
% 16.06/16.29 (assume a7866 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F X5)) (tptp.aa_nat_real G X5))))) (=> (exists ((X tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F X)) (tptp.aa_nat_real G X))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups6591440286371151544t_real F A4)) (tptp.groups6591440286371151544t_real G A4))))))))
% 16.06/16.29 (assume a7867 (forall ((A4 tptp.set_int) (F tptp.fun_int_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int F X5)) (tptp.aa_int_int G X5))))) (=> (exists ((X tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int F X)) (tptp.aa_int_int G X))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups4538972089207619220nt_int F A4)) (tptp.groups4538972089207619220nt_int G A4))))))))
% 16.06/16.29 (assume a7868 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr672294278902479040t_real) (G tptp.fun_Pr672294278902479040t_real)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (=> (forall ((X5 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_Pro6168199777849092593t_real F X5)) (tptp.aa_Pro6168199777849092593t_real G X5))))) (=> (exists ((X tptp.product_prod_nat_nat)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_Pro6168199777849092593t_real F X)) (tptp.aa_Pro6168199777849092593t_real G X))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups4567486121110086003t_real F A4)) (tptp.groups4567486121110086003t_real G A4))))))))
% 16.06/16.29 (assume a7869 (forall ((R tptp.fun_re1255401033344146673l_bool) (S3 tptp.set_complex) (H tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R tptp.zero_zero_real) tptp.zero_zero_real)) (=> (forall ((X15 tptp.real) (Y15 tptp.real) (X22 tptp.real) (Y23 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X15) X22)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R Y15) Y23))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_real_real (tptp.plus_plus_real X15) Y15)) (tptp.aa_real_real (tptp.plus_plus_real X22) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_complex_real H X5)) (tptp.aa_complex_real G X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.groups5808333547571424918x_real H S3)) (tptp.groups5808333547571424918x_real G S3)))))))))
% 16.06/16.29 (assume a7870 (forall ((R tptp.fun_rat_fun_rat_bool) (S3 tptp.set_nat) (H tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R tptp.zero_zero_rat) tptp.zero_zero_rat)) (=> (forall ((X15 tptp.rat) (Y15 tptp.rat) (X22 tptp.rat) (Y23 tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R X15) X22)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R Y15) Y23))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X15) Y15)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X22) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) S3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_nat_rat H X5)) (tptp.aa_nat_rat G X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.groups2906978787729119204at_rat H S3)) (tptp.groups2906978787729119204at_rat G S3)))))))))
% 16.06/16.29 (assume a7871 (forall ((R tptp.fun_rat_fun_rat_bool) (S3 tptp.set_complex) (H tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R tptp.zero_zero_rat) tptp.zero_zero_rat)) (=> (forall ((X15 tptp.rat) (Y15 tptp.rat) (X22 tptp.rat) (Y23 tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R X15) X22)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R Y15) Y23))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X15) Y15)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X22) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.aa_complex_rat H X5)) (tptp.aa_complex_rat G X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool R (tptp.groups5058264527183730370ex_rat H S3)) (tptp.groups5058264527183730370ex_rat G S3)))))))))
% 16.06/16.29 (assume a7872 (forall ((R tptp.fun_nat_fun_nat_bool) (S3 tptp.set_complex) (H tptp.fun_complex_nat) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R tptp.zero_zero_nat) tptp.zero_zero_nat)) (=> (forall ((X15 tptp.nat) (Y15 tptp.nat) (X22 tptp.nat) (Y23 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X15) X22)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R Y15) Y23))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X15) Y15)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X22) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.aa_complex_nat H X5)) (tptp.aa_complex_nat G X5))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.groups5693394587270226106ex_nat H S3)) (tptp.groups5693394587270226106ex_nat G S3)))))))))
% 16.06/16.29 (assume a7873 (forall ((R tptp.fun_int_fun_int_bool) (S3 tptp.set_nat) (H tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R tptp.zero_zero_int) tptp.zero_zero_int)) (=> (forall ((X15 tptp.int) (Y15 tptp.int) (X22 tptp.int) (Y23 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R X15) X22)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R Y15) Y23))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X15) Y15)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X22) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) S3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R (tptp.aa_nat_int H X5)) (tptp.aa_nat_int G X5))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R (tptp.groups3539618377306564664at_int H S3)) (tptp.groups3539618377306564664at_int G S3)))))))))
% 16.06/16.29 (assume a7874 (forall ((R tptp.fun_int_fun_int_bool) (S3 tptp.set_complex) (H tptp.fun_complex_int) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R tptp.zero_zero_int) tptp.zero_zero_int)) (=> (forall ((X15 tptp.int) (Y15 tptp.int) (X22 tptp.int) (Y23 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R X15) X22)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R Y15) Y23))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X15) Y15)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X22) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R (tptp.aa_complex_int H X5)) (tptp.aa_complex_int G X5))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R (tptp.groups5690904116761175830ex_int H S3)) (tptp.groups5690904116761175830ex_int G S3)))))))))
% 16.06/16.29 (assume a7875 (forall ((R tptp.fun_nat_fun_nat_bool) (S3 tptp.set_nat) (H tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R tptp.zero_zero_nat) tptp.zero_zero_nat)) (=> (forall ((X15 tptp.nat) (Y15 tptp.nat) (X22 tptp.nat) (Y23 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X15) X22)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R Y15) Y23))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X15) Y15)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X22) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) S3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.aa_nat_nat H X5)) (tptp.aa_nat_nat G X5))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat H) S3)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) S3)))))))))
% 16.06/16.29 (assume a7876 (forall ((R tptp.fun_co1378794544173401837x_bool) (S3 tptp.set_complex) (H tptp.fun_complex_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R tptp.zero_zero_complex) tptp.zero_zero_complex)) (=> (forall ((X15 tptp.complex) (Y15 tptp.complex) (X22 tptp.complex) (Y23 tptp.complex)) (=> (and (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X15) X22)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R Y15) Y23))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.aa_complex_complex (tptp.plus_plus_complex X15) Y15)) (tptp.aa_complex_complex (tptp.plus_plus_complex X22) Y23))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.aa_complex_complex H X5)) (tptp.aa_complex_complex G X5))))) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R (tptp.groups7754918857620584856omplex H S3)) (tptp.groups7754918857620584856omplex G S3)))))))))
% 16.06/16.29 (assume a7877 (forall ((R tptp.fun_re1255401033344146673l_bool) (S3 tptp.set_nat) (H tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R tptp.zero_zero_real) tptp.zero_zero_real)) (=> (forall ((X15 tptp.real) (Y15 tptp.real) (X22 tptp.real) (Y23 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X15) X22)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R Y15) Y23))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_real_real (tptp.plus_plus_real X15) Y15)) (tptp.aa_real_real (tptp.plus_plus_real X22) Y23))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) S3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.aa_nat_real H X5)) (tptp.aa_nat_real G X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R (tptp.groups6591440286371151544t_real H S3)) (tptp.groups6591440286371151544t_real G S3)))))))))
% 16.06/16.29 (assume a7878 (forall ((R tptp.fun_int_fun_int_bool) (S3 tptp.set_int) (H tptp.fun_int_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R tptp.zero_zero_int) tptp.zero_zero_int)) (=> (forall ((X15 tptp.int) (Y15 tptp.int) (X22 tptp.int) (Y23 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R X15) X22)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R Y15) Y23))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X15) Y15)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X22) Y23))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) S3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R (tptp.aa_int_int H X5)) (tptp.aa_int_int G X5))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R (tptp.groups4538972089207619220nt_int H S3)) (tptp.groups4538972089207619220nt_int G S3)))))))))
% 16.06/16.29 (assume a7879 (forall ((A4 tptp.set_real) (F tptp.fun_real_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (not (= A4 tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X5)) (tptp.aa_real_real G X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups8097168146408367636l_real F A4)) (tptp.groups8097168146408367636l_real G A4))))))))
% 16.06/16.29 (assume a7880 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (not (= A4 tptp.bot_bot_set_complex)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real F X5)) (tptp.aa_complex_real G X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups5808333547571424918x_real F A4)) (tptp.groups5808333547571424918x_real G A4))))))))
% 16.06/16.29 (assume a7881 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_real) (G tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (not (= A4 tptp.bot_bot_set_bool)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_bool_real F X5)) (tptp.aa_bool_real G X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups502887708668150281l_real F A4)) (tptp.groups502887708668150281l_real G A4))))))))
% 16.06/16.29 (assume a7882 (forall ((A4 tptp.set_int) (F tptp.fun_int_real) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X5)) (tptp.aa_int_real G X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups8778361861064173332t_real F A4)) (tptp.groups8778361861064173332t_real G A4))))))))
% 16.06/16.29 (assume a7883 (forall ((A4 tptp.set_real) (F tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (not (= A4 tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X5)) (tptp.aa_real_rat G X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups1300246762558778688al_rat F A4)) (tptp.groups1300246762558778688al_rat G A4))))))))
% 16.06/16.29 (assume a7884 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (not (= A4 tptp.bot_bot_set_complex)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_complex_rat F X5)) (tptp.aa_complex_rat G X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups5058264527183730370ex_rat F A4)) (tptp.groups5058264527183730370ex_rat G A4))))))))
% 16.06/16.29 (assume a7885 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_rat) (G tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (not (= A4 tptp.bot_bot_set_bool)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_bool_rat F X5)) (tptp.aa_bool_rat G X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups5133371213642249141ol_rat F A4)) (tptp.groups5133371213642249141ol_rat G A4))))))))
% 16.06/16.29 (assume a7886 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X5)) (tptp.aa_nat_rat G X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups2906978787729119204at_rat F A4)) (tptp.groups2906978787729119204at_rat G A4))))))))
% 16.06/16.29 (assume a7887 (forall ((A4 tptp.set_int) (F tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X5)) (tptp.aa_int_rat G X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups3906332499630173760nt_rat F A4)) (tptp.groups3906332499630173760nt_rat G A4))))))))
% 16.06/16.29 (assume a7888 (forall ((A4 tptp.set_real) (F tptp.fun_real_nat) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (not (= A4 tptp.bot_bot_set_real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F X5)) (tptp.aa_real_nat G X5))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups1935376822645274424al_nat F A4)) (tptp.groups1935376822645274424al_nat G A4))))))))
% 16.06/16.29 (assume a7889 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (= (tptp.groups8097168146408367636l_real G (tptp.insert_real X3 A4)) (tptp.groups8097168146408367636l_real G A4))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.groups8097168146408367636l_real G (tptp.insert_real X3 A4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real G X3)) (tptp.groups8097168146408367636l_real G A4))))))))
% 16.06/16.29 (assume a7890 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (G tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (= (tptp.groups502887708668150281l_real G (tptp.insert_bool X3 A4)) (tptp.groups502887708668150281l_real G A4))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (= (tptp.groups502887708668150281l_real G (tptp.insert_bool X3 A4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_bool_real G X3)) (tptp.groups502887708668150281l_real G A4))))))))
% 16.06/16.29 (assume a7891 (forall ((A4 tptp.set_int) (X3 tptp.int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)) (= (tptp.groups8778361861064173332t_real G (tptp.insert_int X3 A4)) (tptp.groups8778361861064173332t_real G A4))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (= (tptp.groups8778361861064173332t_real G (tptp.insert_int X3 A4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real G X3)) (tptp.groups8778361861064173332t_real G A4))))))))
% 16.06/16.29 (assume a7892 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (= (tptp.groups5808333547571424918x_real G (tptp.insert_complex X3 A4)) (tptp.groups5808333547571424918x_real G A4))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (= (tptp.groups5808333547571424918x_real G (tptp.insert_complex X3 A4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real G X3)) (tptp.groups5808333547571424918x_real G A4))))))))
% 16.06/16.29 (assume a7893 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (= (tptp.groups1300246762558778688al_rat G (tptp.insert_real X3 A4)) (tptp.groups1300246762558778688al_rat G A4))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.groups1300246762558778688al_rat G (tptp.insert_real X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_real_rat G X3)) (tptp.groups1300246762558778688al_rat G A4))))))))
% 16.06/16.29 (assume a7894 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (G tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (= (tptp.groups5133371213642249141ol_rat G (tptp.insert_bool X3 A4)) (tptp.groups5133371213642249141ol_rat G A4))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (= (tptp.groups5133371213642249141ol_rat G (tptp.insert_bool X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_bool_rat G X3)) (tptp.groups5133371213642249141ol_rat G A4))))))))
% 16.06/16.29 (assume a7895 (forall ((A4 tptp.set_int) (X3 tptp.int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)) (= (tptp.groups3906332499630173760nt_rat G (tptp.insert_int X3 A4)) (tptp.groups3906332499630173760nt_rat G A4))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (= (tptp.groups3906332499630173760nt_rat G (tptp.insert_int X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat G X3)) (tptp.groups3906332499630173760nt_rat G A4))))))))
% 16.06/16.29 (assume a7896 (forall ((A4 tptp.set_nat) (X3 tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4)) (= (tptp.groups2906978787729119204at_rat G (tptp.insert_nat X3 A4)) (tptp.groups2906978787729119204at_rat G A4))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4))) (= (tptp.groups2906978787729119204at_rat G (tptp.insert_nat X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat G X3)) (tptp.groups2906978787729119204at_rat G A4))))))))
% 16.06/16.29 (assume a7897 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (= (tptp.groups5058264527183730370ex_rat G (tptp.insert_complex X3 A4)) (tptp.groups5058264527183730370ex_rat G A4))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (= (tptp.groups5058264527183730370ex_rat G (tptp.insert_complex X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_complex_rat G X3)) (tptp.groups5058264527183730370ex_rat G A4))))))))
% 16.06/16.29 (assume a7898 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (= (tptp.groups1935376822645274424al_nat G (tptp.insert_real X3 A4)) (tptp.groups1935376822645274424al_nat G A4))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.groups1935376822645274424al_nat G (tptp.insert_real X3 A4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_real_nat G X3)) (tptp.groups1935376822645274424al_nat G A4))))))))
% 16.06/16.29 (assume a7899 (forall ((X3 tptp.real) (A tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) A)))))
% 16.06/16.29 (assume a7900 (forall ((X3 tptp.rat) (A tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) A)))))
% 16.06/16.29 (assume a7901 (forall ((X3 tptp.real) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real Z))))))
% 16.06/16.29 (assume a7902 (forall ((X3 tptp.rat) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))))))
% 16.06/16.29 (assume a7903 (forall ((F tptp.fun_nat_complex)) (tptp.summable_complex (tptp.aTP_Lamm_hy F))))
% 16.06/16.29 (assume a7904 (forall ((F tptp.fun_nat_real)) (tptp.summable_real (tptp.aTP_Lamm_hz F))))
% 16.06/16.29 (assume a7905 (forall ((F tptp.fun_nat_int)) (tptp.summable_int (tptp.aTP_Lamm_iu F))))
% 16.06/16.29 (assume a7906 (forall ((F tptp.fun_nat_complex)) (tptp.summable_complex (tptp.aTP_Lamm_hy F))))
% 16.06/16.29 (assume a7907 (forall ((F tptp.fun_nat_real)) (tptp.summable_real (tptp.aTP_Lamm_hz F))))
% 16.06/16.29 (assume a7908 (forall ((X3 tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat Y))))))
% 16.06/16.29 (assume a7909 (forall ((X3 tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) (tptp.aa_real_int tptp.archim7802044766580827645g_real Y))))))
% 16.06/16.29 (assume a7910 (forall ((F tptp.fun_nat_complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq F) Z)) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iv F) Z)))))
% 16.06/16.29 (assume a7911 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io F) Z)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_iw F) Z)))))
% 16.06/16.29 (assume a7912 (forall ((F tptp.fun_nat_complex) (Z tptp.complex)) (= (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iv F) Z)) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq F) Z)))))
% 16.06/16.29 (assume a7913 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (= (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_iw F) Z)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io F) Z)))))
% 16.06/16.29 (assume a7914 (forall ((F tptp.fun_nat_complex) (M2 tptp.nat) (Z tptp.complex)) (= (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_ix F) M2) Z)) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq F) Z)))))
% 16.06/16.29 (assume a7915 (forall ((F tptp.fun_nat_real) (M2 tptp.nat) (Z tptp.real)) (= (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_iy F) M2) Z)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io F) Z)))))
% 16.06/16.29 (assume a7916 (forall ((S tptp.set_real) (F tptp.fun_real_real) (B4 tptp.real) (I tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F I3))))) (=> (= (tptp.groups8097168146408367636l_real F S) B4) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F I)) B4))))))))
% 16.06/16.29 (assume a7917 (forall ((S tptp.set_bool) (F tptp.fun_bool_real) (B4 tptp.real) (I tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real F I3))))) (=> (= (tptp.groups502887708668150281l_real F S) B4) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_bool_real F I)) B4))))))))
% 16.06/16.29 (assume a7918 (forall ((S tptp.set_int) (F tptp.fun_int_real) (B4 tptp.real) (I tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F I3))))) (=> (= (tptp.groups8778361861064173332t_real F S) B4) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F I)) B4))))))))
% 16.06/16.29 (assume a7919 (forall ((S tptp.set_complex) (F tptp.fun_complex_real) (B4 tptp.real) (I tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F I3))))) (=> (= (tptp.groups5808333547571424918x_real F S) B4) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F I)) B4))))))))
% 16.06/16.29 (assume a7920 (forall ((S tptp.set_real) (F tptp.fun_real_rat) (B4 tptp.rat) (I tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F I3))))) (=> (= (tptp.groups1300246762558778688al_rat F S) B4) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F I)) B4))))))))
% 16.06/16.29 (assume a7921 (forall ((S tptp.set_bool) (F tptp.fun_bool_rat) (B4 tptp.rat) (I tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F I3))))) (=> (= (tptp.groups5133371213642249141ol_rat F S) B4) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_bool_rat F I)) B4))))))))
% 16.06/16.29 (assume a7922 (forall ((S tptp.set_int) (F tptp.fun_int_rat) (B4 tptp.rat) (I tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F I3))))) (=> (= (tptp.groups3906332499630173760nt_rat F S) B4) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F I)) B4))))))))
% 16.06/16.29 (assume a7923 (forall ((S tptp.set_nat) (F tptp.fun_nat_rat) (B4 tptp.rat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F I3))))) (=> (= (tptp.groups2906978787729119204at_rat F S) B4) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F I)) B4))))))))
% 16.06/16.29 (assume a7924 (forall ((S tptp.set_complex) (F tptp.fun_complex_rat) (B4 tptp.rat) (I tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F I3))))) (=> (= (tptp.groups5058264527183730370ex_rat F S) B4) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F I)) B4))))))))
% 16.06/16.29 (assume a7925 (forall ((S tptp.set_real) (F tptp.fun_real_nat) (B4 tptp.nat) (I tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) S)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_real_nat F I3))))) (=> (= (tptp.groups1935376822645274424al_nat F S) B4) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) S)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F I)) B4))))))))
% 16.06/16.29 (assume a7926 (forall ((S tptp.set_real) (F tptp.fun_real_real) (I tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F I3))))) (=> (= (tptp.groups8097168146408367636l_real F S) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) S)) (= (tptp.aa_real_real F I) tptp.zero_zero_real)))))))
% 16.06/16.29 (assume a7927 (forall ((S tptp.set_bool) (F tptp.fun_bool_real) (I tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real F I3))))) (=> (= (tptp.groups502887708668150281l_real F S) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) S)) (= (tptp.aa_bool_real F I) tptp.zero_zero_real)))))))
% 16.06/16.29 (assume a7928 (forall ((S tptp.set_int) (F tptp.fun_int_real) (I tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F I3))))) (=> (= (tptp.groups8778361861064173332t_real F S) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) S)) (= (tptp.aa_int_real F I) tptp.zero_zero_real)))))))
% 16.06/16.29 (assume a7929 (forall ((S tptp.set_complex) (F tptp.fun_complex_real) (I tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F I3))))) (=> (= (tptp.groups5808333547571424918x_real F S) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) S)) (= (tptp.aa_complex_real F I) tptp.zero_zero_real)))))))
% 16.06/16.29 (assume a7930 (forall ((S tptp.set_real) (F tptp.fun_real_rat) (I tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F I3))))) (=> (= (tptp.groups1300246762558778688al_rat F S) tptp.zero_zero_rat) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) S)) (= (tptp.aa_real_rat F I) tptp.zero_zero_rat)))))))
% 16.06/16.29 (assume a7931 (forall ((S tptp.set_bool) (F tptp.fun_bool_rat) (I tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F I3))))) (=> (= (tptp.groups5133371213642249141ol_rat F S) tptp.zero_zero_rat) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) S)) (= (tptp.aa_bool_rat F I) tptp.zero_zero_rat)))))))
% 16.06/16.29 (assume a7932 (forall ((S tptp.set_int) (F tptp.fun_int_rat) (I tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F I3))))) (=> (= (tptp.groups3906332499630173760nt_rat F S) tptp.zero_zero_rat) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) S)) (= (tptp.aa_int_rat F I) tptp.zero_zero_rat)))))))
% 16.06/16.29 (assume a7933 (forall ((S tptp.set_nat) (F tptp.fun_nat_rat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F I3))))) (=> (= (tptp.groups2906978787729119204at_rat F S) tptp.zero_zero_rat) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) S)) (= (tptp.aa_nat_rat F I) tptp.zero_zero_rat)))))))
% 16.06/16.29 (assume a7934 (forall ((S tptp.set_complex) (F tptp.fun_complex_rat) (I tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F I3))))) (=> (= (tptp.groups5058264527183730370ex_rat F S) tptp.zero_zero_rat) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) S)) (= (tptp.aa_complex_rat F I) tptp.zero_zero_rat)))))))
% 16.06/16.29 (assume a7935 (forall ((S tptp.set_real) (F tptp.fun_real_nat) (I tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) S)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_real_nat F I3))))) (=> (= (tptp.groups1935376822645274424al_nat F S) tptp.zero_zero_nat) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) S)) (= (tptp.aa_real_nat F I) tptp.zero_zero_nat)))))))
% 16.06/16.29 (assume a7936 (forall ((F tptp.fun_nat_complex) (G tptp.fun_nat_real)) (=> (exists ((N6 tptp.nat)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N6) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex F N2))) (tptp.aa_nat_real G N2)))))) (=> (tptp.summable_real G) (tptp.summable_real (tptp.aTP_Lamm_iz F))))))
% 16.06/16.29 (assume a7937 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (exists ((N6 tptp.nat)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N6) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real F N2))) (tptp.aa_nat_real G N2)))))) (=> (tptp.summable_real G) (tptp.summable_real (tptp.aTP_Lamm_ic F))))))
% 16.06/16.29 (assume a7938 (forall ((X3 tptp.complex) (M2 tptp.nat) (I5 tptp.set_nat)) (= (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_ja X3) M2) I5) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) M2)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) I5)))))
% 16.06/16.29 (assume a7939 (forall ((X3 tptp.rat) (M2 tptp.nat) (I5 tptp.set_nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_jb X3) M2) I5) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) M2)) (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) I5)))))
% 16.06/16.29 (assume a7940 (forall ((X3 tptp.int) (M2 tptp.nat) (I5 tptp.set_nat)) (= (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_jc X3) M2) I5) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int X3) M2)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X3) I5)))))
% 16.06/16.29 (assume a7941 (forall ((X3 tptp.real) (M2 tptp.nat) (I5 tptp.set_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_jd X3) M2) I5) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real X3) M2)) (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) I5)))))
% 16.06/16.29 (assume a7942 (forall ((G tptp.fun_nat_nat) (N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_je G) N) M2)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M2)))))
% 16.06/16.29 (assume a7943 (forall ((G tptp.fun_nat_real) (N tptp.nat) (M2 tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M2)) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_nat4085805313368488148t_real (tptp.aTP_Lamm_jf G) N) M2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M2)))))
% 16.06/16.29 (assume a7944 (forall ((F tptp.fun_nat_real) (I tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F N2)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F I))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.suminf_real F))))))))
% 16.06/16.29 (assume a7945 (forall ((F tptp.fun_nat_nat) (I tptp.nat)) (=> (tptp.summable_nat F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F I))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.suminf_nat F))))))))
% 16.06/16.29 (assume a7946 (forall ((F tptp.fun_nat_int) (I tptp.nat)) (=> (tptp.summable_int F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int F N2)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int F I))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.suminf_int F))))))))
% 16.06/16.29 (assume a7947 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F N2)))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.suminf_real F))) (exists ((I4 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F I4)))))))))
% 16.06/16.29 (assume a7948 (forall ((F tptp.fun_nat_nat)) (=> (tptp.summable_nat F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F N2)))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.suminf_nat F))) (exists ((I4 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F I4)))))))))
% 16.06/16.29 (assume a7949 (forall ((F tptp.fun_nat_int)) (=> (tptp.summable_int F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int F N2)))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.suminf_int F))) (exists ((I4 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int F I4)))))))))
% 16.06/16.29 (assume a7950 (forall ((I5 tptp.set_real) (I tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F I))) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups8097168146408367636l_real F I5)))))))))
% 16.06/16.29 (assume a7951 (forall ((I5 tptp.set_bool) (I tptp.bool) (F tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool I5)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) I5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_bool_real F I))) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups502887708668150281l_real F I5)))))))))
% 16.06/16.29 (assume a7952 (forall ((I5 tptp.set_int) (I tptp.int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) I5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_int_real F I))) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups8778361861064173332t_real F I5)))))))))
% 16.06/16.29 (assume a7953 (forall ((I5 tptp.set_complex) (I tptp.complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I5)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) I5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real F I))) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups5808333547571424918x_real F I5)))))))))
% 16.06/16.29 (assume a7954 (forall ((I5 tptp.set_real) (I tptp.real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_real_rat F I))) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.groups1300246762558778688al_rat F I5)))))))))
% 16.06/16.29 (assume a7955 (forall ((I5 tptp.set_bool) (I tptp.bool) (F tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool I5)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) I5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F I))) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.groups5133371213642249141ol_rat F I5)))))))))
% 16.06/16.29 (assume a7956 (forall ((I5 tptp.set_int) (I tptp.int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) I5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_int_rat F I))) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.groups3906332499630173760nt_rat F I5)))))))))
% 16.06/16.29 (assume a7957 (forall ((I5 tptp.set_nat) (I tptp.nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I5)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) I5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F I))) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.groups2906978787729119204at_rat F I5)))))))))
% 16.06/16.29 (assume a7958 (forall ((I5 tptp.set_complex) (I tptp.complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I5)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) I5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F I))) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.groups5058264527183730370ex_rat F I5)))))))))
% 16.06/16.29 (assume a7959 (forall ((I5 tptp.set_real) (I tptp.real) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I5)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_real_nat F I))) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_real_nat F I3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups1935376822645274424al_nat F I5)))))))))
% 16.06/16.29 (assume a7960 (forall ((I5 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (=> (not (= I5 tptp.bot_bot_set_real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups8097168146408367636l_real F I5))))))))
% 16.06/16.29 (assume a7961 (forall ((I5 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I5)) (=> (not (= I5 tptp.bot_bot_set_complex)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups5808333547571424918x_real F I5))))))))
% 16.06/16.29 (assume a7962 (forall ((I5 tptp.set_bool) (F tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool I5)) (=> (not (= I5 tptp.bot_bot_set_bool)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_bool_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups502887708668150281l_real F I5))))))))
% 16.06/16.29 (assume a7963 (forall ((I5 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I5)) (=> (not (= I5 tptp.bot_bot_set_int)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_int_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.groups8778361861064173332t_real F I5))))))))
% 16.06/16.29 (assume a7964 (forall ((I5 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (=> (not (= I5 tptp.bot_bot_set_real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_real_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.groups1300246762558778688al_rat F I5))))))))
% 16.06/16.29 (assume a7965 (forall ((I5 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I5)) (=> (not (= I5 tptp.bot_bot_set_complex)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.groups5058264527183730370ex_rat F I5))))))))
% 16.06/16.29 (assume a7966 (forall ((I5 tptp.set_bool) (F tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool I5)) (=> (not (= I5 tptp.bot_bot_set_bool)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.groups5133371213642249141ol_rat F I5))))))))
% 16.06/16.29 (assume a7967 (forall ((I5 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I5)) (=> (not (= I5 tptp.bot_bot_set_nat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.groups2906978787729119204at_rat F I5))))))))
% 16.06/16.29 (assume a7968 (forall ((I5 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I5)) (=> (not (= I5 tptp.bot_bot_set_int)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_int_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.groups3906332499630173760nt_rat F I5))))))))
% 16.06/16.29 (assume a7969 (forall ((I5 tptp.set_real) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (=> (not (= I5 tptp.bot_bot_set_real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_real_nat F I3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups1935376822645274424al_nat F I5))))))))
% 16.06/16.29 (assume a7970 (forall ((T3 tptp.set_real) (S3 tptp.set_real) (G tptp.fun_real_real) (H tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S3) T3)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real T3 S3))) (= (tptp.aa_real_real G X5) tptp.zero_zero_real))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (= (tptp.aa_real_real G X5) (tptp.aa_real_real H X5)))) (= (tptp.groups8097168146408367636l_real G T3) (tptp.groups8097168146408367636l_real H S3))))))))
% 16.06/16.29 (assume a7971 (forall ((T3 tptp.set_bool) (S3 tptp.set_bool) (G tptp.fun_bool_real) (H tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool T3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool S3) T3)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool T3 S3))) (= (tptp.aa_bool_real G X5) tptp.zero_zero_real))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (= (tptp.aa_bool_real G X5) (tptp.aa_bool_real H X5)))) (= (tptp.groups502887708668150281l_real G T3) (tptp.groups502887708668150281l_real H S3))))))))
% 16.06/16.29 (assume a7972 (forall ((T3 tptp.set_int) (S3 tptp.set_int) (G tptp.fun_int_real) (H tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S3) T3)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.minus_minus_set_int T3 S3))) (= (tptp.aa_int_real G X5) tptp.zero_zero_real))) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) S3)) (= (tptp.aa_int_real G X5) (tptp.aa_int_real H X5)))) (= (tptp.groups8778361861064173332t_real G T3) (tptp.groups8778361861064173332t_real H S3))))))))
% 16.06/16.29 (assume a7973 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_real) (H tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_real G X5) tptp.zero_zero_real))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (= (tptp.aa_complex_real G X5) (tptp.aa_complex_real H X5)))) (= (tptp.groups5808333547571424918x_real G T3) (tptp.groups5808333547571424918x_real H S3))))))))
% 16.06/16.29 (assume a7974 (forall ((T3 tptp.set_real) (S3 tptp.set_real) (G tptp.fun_real_rat) (H tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S3) T3)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real T3 S3))) (= (tptp.aa_real_rat G X5) tptp.zero_zero_rat))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (= (tptp.aa_real_rat G X5) (tptp.aa_real_rat H X5)))) (= (tptp.groups1300246762558778688al_rat G T3) (tptp.groups1300246762558778688al_rat H S3))))))))
% 16.06/16.29 (assume a7975 (forall ((T3 tptp.set_bool) (S3 tptp.set_bool) (G tptp.fun_bool_rat) (H tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool T3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool S3) T3)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool T3 S3))) (= (tptp.aa_bool_rat G X5) tptp.zero_zero_rat))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (= (tptp.aa_bool_rat G X5) (tptp.aa_bool_rat H X5)))) (= (tptp.groups5133371213642249141ol_rat G T3) (tptp.groups5133371213642249141ol_rat H S3))))))))
% 16.06/16.29 (assume a7976 (forall ((T3 tptp.set_int) (S3 tptp.set_int) (G tptp.fun_int_rat) (H tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S3) T3)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.minus_minus_set_int T3 S3))) (= (tptp.aa_int_rat G X5) tptp.zero_zero_rat))) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) S3)) (= (tptp.aa_int_rat G X5) (tptp.aa_int_rat H X5)))) (= (tptp.groups3906332499630173760nt_rat G T3) (tptp.groups3906332499630173760nt_rat H S3))))))))
% 16.06/16.29 (assume a7977 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_rat) (H tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_rat G X5) tptp.zero_zero_rat))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (= (tptp.aa_complex_rat G X5) (tptp.aa_complex_rat H X5)))) (= (tptp.groups5058264527183730370ex_rat G T3) (tptp.groups5058264527183730370ex_rat H S3))))))))
% 16.06/16.29 (assume a7978 (forall ((T3 tptp.set_real) (S3 tptp.set_real) (G tptp.fun_real_nat) (H tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S3) T3)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real T3 S3))) (= (tptp.aa_real_nat G X5) tptp.zero_zero_nat))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (= (tptp.aa_real_nat G X5) (tptp.aa_real_nat H X5)))) (= (tptp.groups1935376822645274424al_nat G T3) (tptp.groups1935376822645274424al_nat H S3))))))))
% 16.06/16.29 (assume a7979 (forall ((T3 tptp.set_bool) (S3 tptp.set_bool) (G tptp.fun_bool_nat) (H tptp.fun_bool_nat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool T3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool S3) T3)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool T3 S3))) (= (tptp.aa_bool_nat G X5) tptp.zero_zero_nat))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (= (tptp.aa_bool_nat G X5) (tptp.aa_bool_nat H X5)))) (= (tptp.groups5768501273728744877ol_nat G T3) (tptp.groups5768501273728744877ol_nat H S3))))))))
% 16.06/16.29 (assume a7980 (forall ((T3 tptp.set_real) (S3 tptp.set_real) (H tptp.fun_real_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S3) T3)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real T3 S3))) (= (tptp.aa_real_real H X5) tptp.zero_zero_real))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (= (tptp.aa_real_real G X5) (tptp.aa_real_real H X5)))) (= (tptp.groups8097168146408367636l_real G S3) (tptp.groups8097168146408367636l_real H T3))))))))
% 16.06/16.29 (assume a7981 (forall ((T3 tptp.set_bool) (S3 tptp.set_bool) (H tptp.fun_bool_real) (G tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool T3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool S3) T3)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool T3 S3))) (= (tptp.aa_bool_real H X5) tptp.zero_zero_real))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (= (tptp.aa_bool_real G X5) (tptp.aa_bool_real H X5)))) (= (tptp.groups502887708668150281l_real G S3) (tptp.groups502887708668150281l_real H T3))))))))
% 16.06/16.29 (assume a7982 (forall ((T3 tptp.set_int) (S3 tptp.set_int) (H tptp.fun_int_real) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S3) T3)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.minus_minus_set_int T3 S3))) (= (tptp.aa_int_real H X5) tptp.zero_zero_real))) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) S3)) (= (tptp.aa_int_real G X5) (tptp.aa_int_real H X5)))) (= (tptp.groups8778361861064173332t_real G S3) (tptp.groups8778361861064173332t_real H T3))))))))
% 16.06/16.29 (assume a7983 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (H tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_real H X5) tptp.zero_zero_real))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (= (tptp.aa_complex_real G X5) (tptp.aa_complex_real H X5)))) (= (tptp.groups5808333547571424918x_real G S3) (tptp.groups5808333547571424918x_real H T3))))))))
% 16.06/16.29 (assume a7984 (forall ((T3 tptp.set_real) (S3 tptp.set_real) (H tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S3) T3)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real T3 S3))) (= (tptp.aa_real_rat H X5) tptp.zero_zero_rat))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (= (tptp.aa_real_rat G X5) (tptp.aa_real_rat H X5)))) (= (tptp.groups1300246762558778688al_rat G S3) (tptp.groups1300246762558778688al_rat H T3))))))))
% 16.06/16.29 (assume a7985 (forall ((T3 tptp.set_bool) (S3 tptp.set_bool) (H tptp.fun_bool_rat) (G tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool T3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool S3) T3)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool T3 S3))) (= (tptp.aa_bool_rat H X5) tptp.zero_zero_rat))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (= (tptp.aa_bool_rat G X5) (tptp.aa_bool_rat H X5)))) (= (tptp.groups5133371213642249141ol_rat G S3) (tptp.groups5133371213642249141ol_rat H T3))))))))
% 16.06/16.29 (assume a7986 (forall ((T3 tptp.set_int) (S3 tptp.set_int) (H tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S3) T3)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.minus_minus_set_int T3 S3))) (= (tptp.aa_int_rat H X5) tptp.zero_zero_rat))) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) S3)) (= (tptp.aa_int_rat G X5) (tptp.aa_int_rat H X5)))) (= (tptp.groups3906332499630173760nt_rat G S3) (tptp.groups3906332499630173760nt_rat H T3))))))))
% 16.06/16.29 (assume a7987 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (H tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_rat H X5) tptp.zero_zero_rat))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (= (tptp.aa_complex_rat G X5) (tptp.aa_complex_rat H X5)))) (= (tptp.groups5058264527183730370ex_rat G S3) (tptp.groups5058264527183730370ex_rat H T3))))))))
% 16.06/16.29 (assume a7988 (forall ((T3 tptp.set_real) (S3 tptp.set_real) (H tptp.fun_real_nat) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S3) T3)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real T3 S3))) (= (tptp.aa_real_nat H X5) tptp.zero_zero_nat))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (= (tptp.aa_real_nat G X5) (tptp.aa_real_nat H X5)))) (= (tptp.groups1935376822645274424al_nat G S3) (tptp.groups1935376822645274424al_nat H T3))))))))
% 16.06/16.29 (assume a7989 (forall ((T3 tptp.set_bool) (S3 tptp.set_bool) (H tptp.fun_bool_nat) (G tptp.fun_bool_nat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool T3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool S3) T3)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool T3 S3))) (= (tptp.aa_bool_nat H X5) tptp.zero_zero_nat))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (= (tptp.aa_bool_nat G X5) (tptp.aa_bool_nat H X5)))) (= (tptp.groups5768501273728744877ol_nat G S3) (tptp.groups5768501273728744877ol_nat H T3))))))))
% 16.06/16.29 (assume a7990 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_real G X5) tptp.zero_zero_real))) (= (tptp.groups5808333547571424918x_real G T3) (tptp.groups5808333547571424918x_real G S3)))))))
% 16.06/16.29 (assume a7991 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_rat G X5) tptp.zero_zero_rat))) (= (tptp.groups5058264527183730370ex_rat G T3) (tptp.groups5058264527183730370ex_rat G S3)))))))
% 16.06/16.29 (assume a7992 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_nat G X5) tptp.zero_zero_nat))) (= (tptp.groups5693394587270226106ex_nat G T3) (tptp.groups5693394587270226106ex_nat G S3)))))))
% 16.06/16.29 (assume a7993 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_int G X5) tptp.zero_zero_int))) (= (tptp.groups5690904116761175830ex_int G T3) (tptp.groups5690904116761175830ex_int G S3)))))))
% 16.06/16.29 (assume a7994 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_rat G X5) tptp.zero_zero_rat))) (= (tptp.groups2906978787729119204at_rat G T3) (tptp.groups2906978787729119204at_rat G S3)))))))
% 16.06/16.29 (assume a7995 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_int G X5) tptp.zero_zero_int))) (= (tptp.groups3539618377306564664at_int G T3) (tptp.groups3539618377306564664at_int G S3)))))))
% 16.06/16.29 (assume a7996 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_nat G X5) tptp.zero_zero_nat))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) T3) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) S3)))))))
% 16.06/16.29 (assume a7997 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_complex G X5) tptp.zero_zero_complex))) (= (tptp.groups7754918857620584856omplex G T3) (tptp.groups7754918857620584856omplex G S3)))))))
% 16.06/16.29 (assume a7998 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_real G X5) tptp.zero_zero_real))) (= (tptp.groups6591440286371151544t_real G T3) (tptp.groups6591440286371151544t_real G S3)))))))
% 16.06/16.29 (assume a7999 (forall ((T3 tptp.set_int) (S3 tptp.set_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S3) T3)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.minus_minus_set_int T3 S3))) (= (tptp.aa_int_int G X5) tptp.zero_zero_int))) (= (tptp.groups4538972089207619220nt_int G T3) (tptp.groups4538972089207619220nt_int G S3)))))))
% 16.06/16.29 (assume a8000 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_real G X5) tptp.zero_zero_real))) (= (tptp.groups5808333547571424918x_real G S3) (tptp.groups5808333547571424918x_real G T3)))))))
% 16.06/16.29 (assume a8001 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_rat G X5) tptp.zero_zero_rat))) (= (tptp.groups5058264527183730370ex_rat G S3) (tptp.groups5058264527183730370ex_rat G T3)))))))
% 16.06/16.29 (assume a8002 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_nat G X5) tptp.zero_zero_nat))) (= (tptp.groups5693394587270226106ex_nat G S3) (tptp.groups5693394587270226106ex_nat G T3)))))))
% 16.06/16.29 (assume a8003 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_int G X5) tptp.zero_zero_int))) (= (tptp.groups5690904116761175830ex_int G S3) (tptp.groups5690904116761175830ex_int G T3)))))))
% 16.06/16.29 (assume a8004 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_rat G X5) tptp.zero_zero_rat))) (= (tptp.groups2906978787729119204at_rat G S3) (tptp.groups2906978787729119204at_rat G T3)))))))
% 16.06/16.29 (assume a8005 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_int G X5) tptp.zero_zero_int))) (= (tptp.groups3539618377306564664at_int G S3) (tptp.groups3539618377306564664at_int G T3)))))))
% 16.06/16.29 (assume a8006 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_nat G X5) tptp.zero_zero_nat))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) S3) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) T3)))))))
% 16.06/16.29 (assume a8007 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_complex G X5) tptp.zero_zero_complex))) (= (tptp.groups7754918857620584856omplex G S3) (tptp.groups7754918857620584856omplex G T3)))))))
% 16.06/16.29 (assume a8008 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_real G X5) tptp.zero_zero_real))) (= (tptp.groups6591440286371151544t_real G S3) (tptp.groups6591440286371151544t_real G T3)))))))
% 16.06/16.29 (assume a8009 (forall ((T3 tptp.set_int) (S3 tptp.set_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S3) T3)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.minus_minus_set_int T3 S3))) (= (tptp.aa_int_int G X5) tptp.zero_zero_int))) (= (tptp.groups4538972089207619220nt_int G S3) (tptp.groups4538972089207619220nt_int G T3)))))))
% 16.06/16.29 (assume a8010 (forall ((C2 tptp.set_real) (A4 tptp.set_real) (B4 tptp.set_real) (G tptp.fun_real_real) (H tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B4) C2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C2 A4))) (= (tptp.aa_real_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C2 B4))) (= (tptp.aa_real_real H B3) tptp.zero_zero_real))) (=> (= (tptp.groups8097168146408367636l_real G C2) (tptp.groups8097168146408367636l_real H C2)) (= (tptp.groups8097168146408367636l_real G A4) (tptp.groups8097168146408367636l_real H B4))))))))))
% 16.06/16.29 (assume a8011 (forall ((C2 tptp.set_bool) (A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_real) (H tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) C2)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) (tptp.minus_minus_set_bool C2 A4))) (= (tptp.aa_bool_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool C2 B4))) (= (tptp.aa_bool_real H B3) tptp.zero_zero_real))) (=> (= (tptp.groups502887708668150281l_real G C2) (tptp.groups502887708668150281l_real H C2)) (= (tptp.groups502887708668150281l_real G A4) (tptp.groups502887708668150281l_real H B4))))))))))
% 16.06/16.29 (assume a8012 (forall ((C2 tptp.set_int) (A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_real) (H tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B4) C2)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C2 A4))) (= (tptp.aa_int_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C2 B4))) (= (tptp.aa_int_real H B3) tptp.zero_zero_real))) (=> (= (tptp.groups8778361861064173332t_real G C2) (tptp.groups8778361861064173332t_real H C2)) (= (tptp.groups8778361861064173332t_real G A4) (tptp.groups8778361861064173332t_real H B4))))))))))
% 16.06/16.29 (assume a8013 (forall ((C2 tptp.set_complex) (A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_real) (H tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) C2)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C2 A4))) (= (tptp.aa_complex_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C2 B4))) (= (tptp.aa_complex_real H B3) tptp.zero_zero_real))) (=> (= (tptp.groups5808333547571424918x_real G C2) (tptp.groups5808333547571424918x_real H C2)) (= (tptp.groups5808333547571424918x_real G A4) (tptp.groups5808333547571424918x_real H B4))))))))))
% 16.06/16.29 (assume a8014 (forall ((C2 tptp.set_real) (A4 tptp.set_real) (B4 tptp.set_real) (G tptp.fun_real_rat) (H tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B4) C2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C2 A4))) (= (tptp.aa_real_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C2 B4))) (= (tptp.aa_real_rat H B3) tptp.zero_zero_rat))) (=> (= (tptp.groups1300246762558778688al_rat G C2) (tptp.groups1300246762558778688al_rat H C2)) (= (tptp.groups1300246762558778688al_rat G A4) (tptp.groups1300246762558778688al_rat H B4))))))))))
% 16.06/16.29 (assume a8015 (forall ((C2 tptp.set_bool) (A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_rat) (H tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) C2)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) (tptp.minus_minus_set_bool C2 A4))) (= (tptp.aa_bool_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool C2 B4))) (= (tptp.aa_bool_rat H B3) tptp.zero_zero_rat))) (=> (= (tptp.groups5133371213642249141ol_rat G C2) (tptp.groups5133371213642249141ol_rat H C2)) (= (tptp.groups5133371213642249141ol_rat G A4) (tptp.groups5133371213642249141ol_rat H B4))))))))))
% 16.06/16.29 (assume a8016 (forall ((C2 tptp.set_int) (A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_rat) (H tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B4) C2)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C2 A4))) (= (tptp.aa_int_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C2 B4))) (= (tptp.aa_int_rat H B3) tptp.zero_zero_rat))) (=> (= (tptp.groups3906332499630173760nt_rat G C2) (tptp.groups3906332499630173760nt_rat H C2)) (= (tptp.groups3906332499630173760nt_rat G A4) (tptp.groups3906332499630173760nt_rat H B4))))))))))
% 16.06/16.29 (assume a8017 (forall ((C2 tptp.set_complex) (A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_rat) (H tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) C2)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C2 A4))) (= (tptp.aa_complex_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C2 B4))) (= (tptp.aa_complex_rat H B3) tptp.zero_zero_rat))) (=> (= (tptp.groups5058264527183730370ex_rat G C2) (tptp.groups5058264527183730370ex_rat H C2)) (= (tptp.groups5058264527183730370ex_rat G A4) (tptp.groups5058264527183730370ex_rat H B4))))))))))
% 16.06/16.29 (assume a8018 (forall ((C2 tptp.set_real) (A4 tptp.set_real) (B4 tptp.set_real) (G tptp.fun_real_nat) (H tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B4) C2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C2 A4))) (= (tptp.aa_real_nat G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C2 B4))) (= (tptp.aa_real_nat H B3) tptp.zero_zero_nat))) (=> (= (tptp.groups1935376822645274424al_nat G C2) (tptp.groups1935376822645274424al_nat H C2)) (= (tptp.groups1935376822645274424al_nat G A4) (tptp.groups1935376822645274424al_nat H B4))))))))))
% 16.06/16.29 (assume a8019 (forall ((C2 tptp.set_bool) (A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_nat) (H tptp.fun_bool_nat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) C2)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) (tptp.minus_minus_set_bool C2 A4))) (= (tptp.aa_bool_nat G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool C2 B4))) (= (tptp.aa_bool_nat H B3) tptp.zero_zero_nat))) (=> (= (tptp.groups5768501273728744877ol_nat G C2) (tptp.groups5768501273728744877ol_nat H C2)) (= (tptp.groups5768501273728744877ol_nat G A4) (tptp.groups5768501273728744877ol_nat H B4))))))))))
% 16.06/16.29 (assume a8020 (forall ((C2 tptp.set_real) (A4 tptp.set_real) (B4 tptp.set_real) (G tptp.fun_real_real) (H tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B4) C2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C2 A4))) (= (tptp.aa_real_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C2 B4))) (= (tptp.aa_real_real H B3) tptp.zero_zero_real))) (= (= (tptp.groups8097168146408367636l_real G A4) (tptp.groups8097168146408367636l_real H B4)) (= (tptp.groups8097168146408367636l_real G C2) (tptp.groups8097168146408367636l_real H C2))))))))))
% 16.06/16.29 (assume a8021 (forall ((C2 tptp.set_bool) (A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_real) (H tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) C2)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) (tptp.minus_minus_set_bool C2 A4))) (= (tptp.aa_bool_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool C2 B4))) (= (tptp.aa_bool_real H B3) tptp.zero_zero_real))) (= (= (tptp.groups502887708668150281l_real G A4) (tptp.groups502887708668150281l_real H B4)) (= (tptp.groups502887708668150281l_real G C2) (tptp.groups502887708668150281l_real H C2))))))))))
% 16.06/16.29 (assume a8022 (forall ((C2 tptp.set_int) (A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_real) (H tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B4) C2)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C2 A4))) (= (tptp.aa_int_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C2 B4))) (= (tptp.aa_int_real H B3) tptp.zero_zero_real))) (= (= (tptp.groups8778361861064173332t_real G A4) (tptp.groups8778361861064173332t_real H B4)) (= (tptp.groups8778361861064173332t_real G C2) (tptp.groups8778361861064173332t_real H C2))))))))))
% 16.06/16.29 (assume a8023 (forall ((C2 tptp.set_complex) (A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_real) (H tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) C2)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C2 A4))) (= (tptp.aa_complex_real G A3) tptp.zero_zero_real))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C2 B4))) (= (tptp.aa_complex_real H B3) tptp.zero_zero_real))) (= (= (tptp.groups5808333547571424918x_real G A4) (tptp.groups5808333547571424918x_real H B4)) (= (tptp.groups5808333547571424918x_real G C2) (tptp.groups5808333547571424918x_real H C2))))))))))
% 16.06/16.29 (assume a8024 (forall ((C2 tptp.set_real) (A4 tptp.set_real) (B4 tptp.set_real) (G tptp.fun_real_rat) (H tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B4) C2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C2 A4))) (= (tptp.aa_real_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C2 B4))) (= (tptp.aa_real_rat H B3) tptp.zero_zero_rat))) (= (= (tptp.groups1300246762558778688al_rat G A4) (tptp.groups1300246762558778688al_rat H B4)) (= (tptp.groups1300246762558778688al_rat G C2) (tptp.groups1300246762558778688al_rat H C2))))))))))
% 16.06/16.29 (assume a8025 (forall ((C2 tptp.set_bool) (A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_rat) (H tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) C2)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) (tptp.minus_minus_set_bool C2 A4))) (= (tptp.aa_bool_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool C2 B4))) (= (tptp.aa_bool_rat H B3) tptp.zero_zero_rat))) (= (= (tptp.groups5133371213642249141ol_rat G A4) (tptp.groups5133371213642249141ol_rat H B4)) (= (tptp.groups5133371213642249141ol_rat G C2) (tptp.groups5133371213642249141ol_rat H C2))))))))))
% 16.06/16.29 (assume a8026 (forall ((C2 tptp.set_int) (A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_rat) (H tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B4) C2)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C2 A4))) (= (tptp.aa_int_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C2 B4))) (= (tptp.aa_int_rat H B3) tptp.zero_zero_rat))) (= (= (tptp.groups3906332499630173760nt_rat G A4) (tptp.groups3906332499630173760nt_rat H B4)) (= (tptp.groups3906332499630173760nt_rat G C2) (tptp.groups3906332499630173760nt_rat H C2))))))))))
% 16.06/16.29 (assume a8027 (forall ((C2 tptp.set_complex) (A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_rat) (H tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) C2)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C2 A4))) (= (tptp.aa_complex_rat G A3) tptp.zero_zero_rat))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C2 B4))) (= (tptp.aa_complex_rat H B3) tptp.zero_zero_rat))) (= (= (tptp.groups5058264527183730370ex_rat G A4) (tptp.groups5058264527183730370ex_rat H B4)) (= (tptp.groups5058264527183730370ex_rat G C2) (tptp.groups5058264527183730370ex_rat H C2))))))))))
% 16.06/16.29 (assume a8028 (forall ((C2 tptp.set_real) (A4 tptp.set_real) (B4 tptp.set_real) (G tptp.fun_real_nat) (H tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B4) C2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C2 A4))) (= (tptp.aa_real_nat G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C2 B4))) (= (tptp.aa_real_nat H B3) tptp.zero_zero_nat))) (= (= (tptp.groups1935376822645274424al_nat G A4) (tptp.groups1935376822645274424al_nat H B4)) (= (tptp.groups1935376822645274424al_nat G C2) (tptp.groups1935376822645274424al_nat H C2))))))))))
% 16.06/16.29 (assume a8029 (forall ((C2 tptp.set_bool) (A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_nat) (H tptp.fun_bool_nat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) C2)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) (tptp.minus_minus_set_bool C2 A4))) (= (tptp.aa_bool_nat G A3) tptp.zero_zero_nat))) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool C2 B4))) (= (tptp.aa_bool_nat H B3) tptp.zero_zero_nat))) (= (= (tptp.groups5768501273728744877ol_nat G A4) (tptp.groups5768501273728744877ol_nat H B4)) (= (tptp.groups5768501273728744877ol_nat G C2) (tptp.groups5768501273728744877ol_nat H C2))))))))))
% 16.06/16.29 (assume a8030 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5808333547571424918x_real G A4) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups5808333547571424918x_real G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups5808333547571424918x_real G B4)))))))
% 16.06/16.29 (assume a8031 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5058264527183730370ex_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups5058264527183730370ex_rat G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups5058264527183730370ex_rat G B4)))))))
% 16.06/16.29 (assume a8032 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5693394587270226106ex_nat G A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5693394587270226106ex_nat G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups5693394587270226106ex_nat G B4)))))))
% 16.06/16.29 (assume a8033 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5690904116761175830ex_int G A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5690904116761175830ex_int G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups5690904116761175830ex_int G B4)))))))
% 16.06/16.29 (assume a8034 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups2906978787729119204at_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.groups2906978787729119204at_rat G B4)))))))
% 16.06/16.29 (assume a8035 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups3539618377306564664at_int G A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.groups3539618377306564664at_int G B4)))))))
% 16.06/16.29 (assume a8036 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) B4)))))))
% 16.06/16.29 (assume a8037 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups7754918857620584856omplex G A4) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups7754918857620584856omplex G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups7754918857620584856omplex G B4)))))))
% 16.06/16.29 (assume a8038 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups6591440286371151544t_real G A4) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.groups6591440286371151544t_real G B4)))))))
% 16.06/16.29 (assume a8039 (forall ((B4 tptp.set_int) (A4 tptp.set_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B4) A4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (= (tptp.groups4538972089207619220nt_int G A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int G (tptp.minus_minus_set_int A4 B4))) (tptp.groups4538972089207619220nt_int G B4)))))))
% 16.06/16.29 (assume a8040 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (= (tptp.groups5808333547571424918x_real F (tptp.minus_811609699411566653omplex A4 B4)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.groups5808333547571424918x_real F A4)) (tptp.groups5808333547571424918x_real F B4)))))))
% 16.06/16.29 (assume a8041 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (= (tptp.groups5058264527183730370ex_rat F (tptp.minus_811609699411566653omplex A4 B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.groups5058264527183730370ex_rat F A4)) (tptp.groups5058264527183730370ex_rat F B4)))))))
% 16.06/16.29 (assume a8042 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (= (tptp.groups5690904116761175830ex_int F (tptp.minus_811609699411566653omplex A4 B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups5690904116761175830ex_int F A4)) (tptp.groups5690904116761175830ex_int F B4)))))))
% 16.06/16.29 (assume a8043 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (= (tptp.groups2906978787729119204at_rat F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.groups2906978787729119204at_rat F A4)) (tptp.groups2906978787729119204at_rat F B4)))))))
% 16.06/16.29 (assume a8044 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (= (tptp.groups3539618377306564664at_int F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups3539618377306564664at_int F A4)) (tptp.groups3539618377306564664at_int F B4)))))))
% 16.06/16.29 (assume a8045 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (= (tptp.groups7754918857620584856omplex F (tptp.minus_811609699411566653omplex A4 B4)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups7754918857620584856omplex F A4)) (tptp.groups7754918857620584856omplex F B4)))))))
% 16.06/16.29 (assume a8046 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (= (tptp.groups6591440286371151544t_real F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.groups6591440286371151544t_real F A4)) (tptp.groups6591440286371151544t_real F B4)))))))
% 16.06/16.29 (assume a8047 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (F tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B4) A4)) (= (tptp.groups4538972089207619220nt_int F (tptp.minus_minus_set_int A4 B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups4538972089207619220nt_int F A4)) (tptp.groups4538972089207619220nt_int F B4)))))))
% 16.06/16.29 (assume a8048 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr672294278902479040t_real)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat B4) A4)) (= (tptp.groups4567486121110086003t_real F (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.groups4567486121110086003t_real F A4)) (tptp.groups4567486121110086003t_real F B4)))))))
% 16.06/16.29 (assume a8049 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr8317260874932935276at_rat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat B4) A4)) (= (tptp.groups342789780944988191at_rat F (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.groups342789780944988191at_rat F A4)) (tptp.groups342789780944988191at_rat F B4)))))))
% 16.06/16.29 (assume a8050 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups5808333547571424918x_real G (tptp.sup_sup_set_complex A4 B4))) (tptp.groups5808333547571424918x_real G (tptp.inf_inf_set_complex A4 B4))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups5808333547571424918x_real G A4)) (tptp.groups5808333547571424918x_real G B4)))))))
% 16.06/16.29 (assume a8051 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups5058264527183730370ex_rat G (tptp.sup_sup_set_complex A4 B4))) (tptp.groups5058264527183730370ex_rat G (tptp.inf_inf_set_complex A4 B4))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups5058264527183730370ex_rat G A4)) (tptp.groups5058264527183730370ex_rat G B4)))))))
% 16.06/16.29 (assume a8052 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5693394587270226106ex_nat G (tptp.sup_sup_set_complex A4 B4))) (tptp.groups5693394587270226106ex_nat G (tptp.inf_inf_set_complex A4 B4))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5693394587270226106ex_nat G A4)) (tptp.groups5693394587270226106ex_nat G B4)))))))
% 16.06/16.29 (assume a8053 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5690904116761175830ex_int G (tptp.sup_sup_set_complex A4 B4))) (tptp.groups5690904116761175830ex_int G (tptp.inf_inf_set_complex A4 B4))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5690904116761175830ex_int G A4)) (tptp.groups5690904116761175830ex_int G B4)))))))
% 16.06/16.29 (assume a8054 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (tptp.groups2906978787729119204at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G A4)) (tptp.groups2906978787729119204at_rat G B4)))))))
% 16.06/16.29 (assume a8055 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (tptp.groups3539618377306564664at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G A4)) (tptp.groups3539618377306564664at_int G B4)))))))
% 16.06/16.29 (assume a8056 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A4)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) B4)))))))
% 16.06/16.29 (assume a8057 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups7754918857620584856omplex G (tptp.sup_sup_set_complex A4 B4))) (tptp.groups7754918857620584856omplex G (tptp.inf_inf_set_complex A4 B4))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups7754918857620584856omplex G A4)) (tptp.groups7754918857620584856omplex G B4)))))))
% 16.06/16.29 (assume a8058 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (tptp.groups6591440286371151544t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G A4)) (tptp.groups6591440286371151544t_real G B4)))))))
% 16.06/16.29 (assume a8059 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int G (tptp.sup_sup_set_int A4 B4))) (tptp.groups4538972089207619220nt_int G (tptp.inf_inf_set_int A4 B4))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int G A4)) (tptp.groups4538972089207619220nt_int G B4)))))))
% 16.06/16.29 (assume a8060 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_real) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5808333547571424918x_real G A4) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups5808333547571424918x_real G (tptp.inf_inf_set_complex A4 B4))) (tptp.groups5808333547571424918x_real G (tptp.minus_811609699411566653omplex A4 B4)))))))
% 16.06/16.29 (assume a8061 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_rat) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5058264527183730370ex_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups5058264527183730370ex_rat G (tptp.inf_inf_set_complex A4 B4))) (tptp.groups5058264527183730370ex_rat G (tptp.minus_811609699411566653omplex A4 B4)))))))
% 16.06/16.29 (assume a8062 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_nat) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5693394587270226106ex_nat G A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5693394587270226106ex_nat G (tptp.inf_inf_set_complex A4 B4))) (tptp.groups5693394587270226106ex_nat G (tptp.minus_811609699411566653omplex A4 B4)))))))
% 16.06/16.29 (assume a8063 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_int) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5690904116761175830ex_int G A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5690904116761175830ex_int G (tptp.inf_inf_set_complex A4 B4))) (tptp.groups5690904116761175830ex_int G (tptp.minus_811609699411566653omplex A4 B4)))))))
% 16.06/16.29 (assume a8064 (forall ((A4 tptp.set_nat) (G tptp.fun_nat_rat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups2906978787729119204at_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (tptp.groups2906978787729119204at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)))))))
% 16.06/16.29 (assume a8065 (forall ((A4 tptp.set_nat) (G tptp.fun_nat_int) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups3539618377306564664at_int G A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (tptp.groups3539618377306564664at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)))))))
% 16.06/16.29 (assume a8066 (forall ((A4 tptp.set_nat) (G tptp.fun_nat_nat) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)))))))
% 16.06/16.29 (assume a8067 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_complex) (B4 tptp.set_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups7754918857620584856omplex G A4) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups7754918857620584856omplex G (tptp.inf_inf_set_complex A4 B4))) (tptp.groups7754918857620584856omplex G (tptp.minus_811609699411566653omplex A4 B4)))))))
% 16.06/16.29 (assume a8068 (forall ((A4 tptp.set_nat) (G tptp.fun_nat_real) (B4 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups6591440286371151544t_real G A4) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (tptp.groups6591440286371151544t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)))))))
% 16.06/16.29 (assume a8069 (forall ((A4 tptp.set_int) (G tptp.fun_int_int) (B4 tptp.set_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (= (tptp.groups4538972089207619220nt_int G A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int G (tptp.inf_inf_set_int A4 B4))) (tptp.groups4538972089207619220nt_int G (tptp.minus_minus_set_int A4 B4)))))))
% 16.06/16.29 (assume a8070 (forall ((R2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real R2))) (tptp.aa_real_real (tptp.plus_plus_real R2) tptp.one_one_real)))))
% 16.06/16.29 (assume a8071 (forall ((R2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat R2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat R2) tptp.one_one_rat)))))
% 16.06/16.29 (assume a8072 (forall ((R2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real R2))) tptp.one_one_real)) R2))))
% 16.06/16.29 (assume a8073 (forall ((R2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat R2))) tptp.one_one_rat)) R2))))
% 16.06/16.29 (assume a8074 (forall ((F tptp.fun_nat_rat) (K2 tptp.nat)) (=> (= (tptp.aa_nat_rat F tptp.zero_zero_nat) tptp.zero_zero_rat) (= (tptp.groups2906978787729119204at_rat F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) K2)) (tptp.groups2906978787729119204at_rat F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K2))))))
% 16.06/16.29 (assume a8075 (forall ((F tptp.fun_nat_int) (K2 tptp.nat)) (=> (= (tptp.aa_nat_int F tptp.zero_zero_nat) tptp.zero_zero_int) (= (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) K2)) (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K2))))))
% 16.06/16.29 (assume a8076 (forall ((F tptp.fun_nat_nat) (K2 tptp.nat)) (=> (= (tptp.aa_nat_nat F tptp.zero_zero_nat) tptp.zero_zero_nat) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) K2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K2))))))
% 16.06/16.29 (assume a8077 (forall ((F tptp.fun_nat_real) (K2 tptp.nat)) (=> (= (tptp.aa_nat_real F tptp.zero_zero_nat) tptp.zero_zero_real) (= (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) K2)) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K2))))))
% 16.06/16.29 (assume a8078 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.29 (assume a8079 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.29 (assume a8080 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.29 (assume a8081 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.29 (assume a8082 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat G M2)) (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N)))))))
% 16.06/16.29 (assume a8083 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int G M2)) (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N)))))))
% 16.06/16.29 (assume a8084 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat G M2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N)))))))
% 16.06/16.29 (assume a8085 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real G M2)) (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N)))))))
% 16.06/16.29 (assume a8086 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.29 (assume a8087 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.29 (assume a8088 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.29 (assume a8089 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.29 (assume a8090 (forall ((F tptp.fun_nat_real) (X3 tptp.real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io F) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3))) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io F) Z))))))
% 16.06/16.29 (assume a8091 (forall ((F tptp.fun_nat_complex) (X3 tptp.complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq F) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3))) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq F) Z))))))
% 16.06/16.29 (assume a8092 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real C)) tptp.one_one_real)) (tptp.summable_real (tptp.power_power_real C)))))
% 16.06/16.29 (assume a8093 (forall ((C tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex C)) tptp.one_one_real)) (tptp.summable_complex (tptp.power_power_complex C)))))
% 16.06/16.29 (assume a8094 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3)) tptp.one_one_real)) (tptp.summable_real (tptp.power_power_real X3)))))
% 16.06/16.29 (assume a8095 (forall ((X3 tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3)) tptp.one_one_real)) (tptp.summable_complex (tptp.power_power_complex X3)))))
% 16.06/16.29 (assume a8096 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real F) (= (tptp.suminf_real (tptp.aTP_Lamm_il F)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.suminf_real F)) (tptp.aa_nat_real F tptp.zero_zero_nat))))))
% 16.06/16.29 (assume a8097 (forall ((A4 tptp.set_complex) (P tptp.fun_complex_bool) (H tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_jg P) H) G) A4) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups5808333547571424918x_real H (tptp.inf_inf_set_complex A4 (tptp.collect_complex P)))) (tptp.groups5808333547571424918x_real G (tptp.inf_inf_set_complex A4 (tptp.uminus8566677241136511917omplex (tptp.collect_complex P)))))))))
% 16.06/16.29 (assume a8098 (forall ((A4 tptp.set_complex) (P tptp.fun_complex_bool) (H tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5058264527183730370ex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aa_fun530470884365435460ex_rat (tptp.aTP_Lamm_jh P) H) G) A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups5058264527183730370ex_rat H (tptp.inf_inf_set_complex A4 (tptp.collect_complex P)))) (tptp.groups5058264527183730370ex_rat G (tptp.inf_inf_set_complex A4 (tptp.uminus8566677241136511917omplex (tptp.collect_complex P)))))))))
% 16.06/16.29 (assume a8099 (forall ((A4 tptp.set_complex) (P tptp.fun_complex_bool) (H tptp.fun_complex_nat) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5693394587270226106ex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aa_fun2484745150758625324ex_nat (tptp.aTP_Lamm_ji P) H) G) A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5693394587270226106ex_nat H (tptp.inf_inf_set_complex A4 (tptp.collect_complex P)))) (tptp.groups5693394587270226106ex_nat G (tptp.inf_inf_set_complex A4 (tptp.uminus8566677241136511917omplex (tptp.collect_complex P)))))))))
% 16.06/16.29 (assume a8100 (forall ((A4 tptp.set_complex) (P tptp.fun_complex_bool) (H tptp.fun_complex_int) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5690904116761175830ex_int (tptp.aa_fun4286351638413746156ex_int (tptp.aa_fun6437630453459604288ex_int (tptp.aTP_Lamm_jj P) H) G) A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5690904116761175830ex_int H (tptp.inf_inf_set_complex A4 (tptp.collect_complex P)))) (tptp.groups5690904116761175830ex_int G (tptp.inf_inf_set_complex A4 (tptp.uminus8566677241136511917omplex (tptp.collect_complex P)))))))))
% 16.06/16.29 (assume a8101 (forall ((A4 tptp.set_nat) (P tptp.fun_nat_bool) (H tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_jk P) H) G) A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat H (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.collect_nat P)))) (tptp.groups2906978787729119204at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.uminus5710092332889474511et_nat (tptp.collect_nat P)))))))))
% 16.06/16.29 (assume a8102 (forall ((A4 tptp.set_nat) (P tptp.fun_nat_bool) (H tptp.fun_nat_int) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups3539618377306564664at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_jl P) H) G) A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int H (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.collect_nat P)))) (tptp.groups3539618377306564664at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.uminus5710092332889474511et_nat (tptp.collect_nat P)))))))))
% 16.06/16.29 (assume a8103 (forall ((A4 tptp.set_nat) (P tptp.fun_nat_bool) (H tptp.fun_nat_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_jm P) H) G)) A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat H) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.collect_nat P)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.uminus5710092332889474511et_nat (tptp.collect_nat P)))))))))
% 16.06/16.29 (assume a8104 (forall ((A4 tptp.set_complex) (P tptp.fun_complex_bool) (H tptp.fun_complex_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups7754918857620584856omplex (tptp.aa_fun3187328805393345264omplex (tptp.aa_fun4268748527592579270omplex (tptp.aTP_Lamm_jn P) H) G) A4) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups7754918857620584856omplex H (tptp.inf_inf_set_complex A4 (tptp.collect_complex P)))) (tptp.groups7754918857620584856omplex G (tptp.inf_inf_set_complex A4 (tptp.uminus8566677241136511917omplex (tptp.collect_complex P)))))))))
% 16.06/16.29 (assume a8105 (forall ((A4 tptp.set_nat) (P tptp.fun_nat_bool) (H tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_jo P) H) G) A4) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real H (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.collect_nat P)))) (tptp.groups6591440286371151544t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.uminus5710092332889474511et_nat (tptp.collect_nat P)))))))))
% 16.06/16.29 (assume a8106 (forall ((A4 tptp.set_int) (P tptp.fun_int_bool) (H tptp.fun_int_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (= (tptp.groups4538972089207619220nt_int (tptp.aa_fun6280345759651049192nt_int (tptp.aa_fun3693603986580398266nt_int (tptp.aTP_Lamm_jp P) H) G) A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int H (tptp.inf_inf_set_int A4 (tptp.collect_int P)))) (tptp.groups4538972089207619220nt_int G (tptp.inf_inf_set_int A4 (tptp.uminus1532241313380277803et_int (tptp.collect_int P)))))))))
% 16.06/16.29 (assume a8107 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat G M2)) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_jq G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.29 (assume a8108 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int G M2)) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_jr G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.29 (assume a8109 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat G M2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_is G)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.29 (assume a8110 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real G M2)) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_il G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.29 (assume a8111 (forall ((M2 tptp.nat) (N tptp.nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_js F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_rat F M2))))))
% 16.06/16.29 (assume a8112 (forall ((M2 tptp.nat) (N tptp.nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_jt F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_int F M2))))))
% 16.06/16.29 (assume a8113 (forall ((M2 tptp.nat) (N tptp.nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ju F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real F M2))))))
% 16.06/16.29 (assume a8114 (forall ((B4 tptp.set_real) (A4 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B4 A4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F B3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups8097168146408367636l_real F A4)) (tptp.groups8097168146408367636l_real F B4))))))))
% 16.06/16.29 (assume a8115 (forall ((B4 tptp.set_bool) (A4 tptp.set_bool) (F tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool B4 A4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real F B3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups502887708668150281l_real F A4)) (tptp.groups502887708668150281l_real F B4))))))))
% 16.06/16.29 (assume a8116 (forall ((B4 tptp.set_int) (A4 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int B4 A4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F B3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups8778361861064173332t_real F A4)) (tptp.groups8778361861064173332t_real F B4))))))))
% 16.06/16.29 (assume a8117 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex B4 A4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F B3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups5808333547571424918x_real F A4)) (tptp.groups5808333547571424918x_real F B4))))))))
% 16.06/16.29 (assume a8118 (forall ((B4 tptp.set_real) (A4 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B4 A4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F B3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1300246762558778688al_rat F A4)) (tptp.groups1300246762558778688al_rat F B4))))))))
% 16.06/16.29 (assume a8119 (forall ((B4 tptp.set_bool) (A4 tptp.set_bool) (F tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool B4 A4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F B3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups5133371213642249141ol_rat F A4)) (tptp.groups5133371213642249141ol_rat F B4))))))))
% 16.06/16.29 (assume a8120 (forall ((B4 tptp.set_int) (A4 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int B4 A4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F B3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups3906332499630173760nt_rat F A4)) (tptp.groups3906332499630173760nt_rat F B4))))))))
% 16.06/16.29 (assume a8121 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex B4 A4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F B3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups5058264527183730370ex_rat F A4)) (tptp.groups5058264527183730370ex_rat F B4))))))))
% 16.06/16.29 (assume a8122 (forall ((B4 tptp.set_real) (A4 tptp.set_real) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B4 A4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_real_nat F B3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups1935376822645274424al_nat F A4)) (tptp.groups1935376822645274424al_nat F B4))))))))
% 16.06/16.29 (assume a8123 (forall ((B4 tptp.set_bool) (A4 tptp.set_bool) (F tptp.fun_bool_nat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool B4 A4))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_bool_nat F B3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.groups5768501273728744877ol_nat F A4)) (tptp.groups5768501273728744877ol_nat F B4))))))))
% 16.06/16.29 (assume a8124 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.inf_inf_set_complex A4 B4))) (= (tptp.aa_complex_real G X5) tptp.zero_zero_real))) (= (tptp.groups5808333547571424918x_real G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups5808333547571424918x_real G A4)) (tptp.groups5808333547571424918x_real G B4))))))))
% 16.06/16.29 (assume a8125 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.inf_inf_set_complex A4 B4))) (= (tptp.aa_complex_rat G X5) tptp.zero_zero_rat))) (= (tptp.groups5058264527183730370ex_rat G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups5058264527183730370ex_rat G A4)) (tptp.groups5058264527183730370ex_rat G B4))))))))
% 16.06/16.29 (assume a8126 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.inf_inf_set_complex A4 B4))) (= (tptp.aa_complex_nat G X5) tptp.zero_zero_nat))) (= (tptp.groups5693394587270226106ex_nat G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5693394587270226106ex_nat G A4)) (tptp.groups5693394587270226106ex_nat G B4))))))))
% 16.06/16.29 (assume a8127 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.inf_inf_set_complex A4 B4))) (= (tptp.aa_complex_int G X5) tptp.zero_zero_int))) (= (tptp.groups5690904116761175830ex_int G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5690904116761175830ex_int G A4)) (tptp.groups5690904116761175830ex_int G B4))))))))
% 16.06/16.29 (assume a8128 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (= (tptp.aa_nat_rat G X5) tptp.zero_zero_rat))) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G A4)) (tptp.groups2906978787729119204at_rat G B4))))))))
% 16.06/16.29 (assume a8129 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (= (tptp.aa_nat_int G X5) tptp.zero_zero_int))) (= (tptp.groups3539618377306564664at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G A4)) (tptp.groups3539618377306564664at_int G B4))))))))
% 16.06/16.29 (assume a8130 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (= (tptp.aa_nat_nat G X5) tptp.zero_zero_nat))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A4)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) B4))))))))
% 16.06/16.29 (assume a8131 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.inf_inf_set_complex A4 B4))) (= (tptp.aa_complex_complex G X5) tptp.zero_zero_complex))) (= (tptp.groups7754918857620584856omplex G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups7754918857620584856omplex G A4)) (tptp.groups7754918857620584856omplex G B4))))))))
% 16.06/16.29 (assume a8132 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))) (= (tptp.aa_nat_real G X5) tptp.zero_zero_real))) (= (tptp.groups6591440286371151544t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G A4)) (tptp.groups6591440286371151544t_real G B4))))))))
% 16.06/16.29 (assume a8133 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.inf_inf_set_int A4 B4))) (= (tptp.aa_int_int G X5) tptp.zero_zero_int))) (= (tptp.groups4538972089207619220nt_int G (tptp.sup_sup_set_int A4 B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int G A4)) (tptp.groups4538972089207619220nt_int G B4))))))))
% 16.06/16.29 (assume a8134 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_real) (X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5808333547571424918x_real G (tptp.insert_complex X3 A4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real G X3)) (tptp.groups5808333547571424918x_real G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex))))))))
% 16.06/16.29 (assume a8135 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_rat) (X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5058264527183730370ex_rat G (tptp.insert_complex X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_complex_rat G X3)) (tptp.groups5058264527183730370ex_rat G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex))))))))
% 16.06/16.29 (assume a8136 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_nat) (X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5693394587270226106ex_nat G (tptp.insert_complex X3 A4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_complex_nat G X3)) (tptp.groups5693394587270226106ex_nat G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex))))))))
% 16.06/16.29 (assume a8137 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_int) (X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups5690904116761175830ex_int G (tptp.insert_complex X3 A4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_complex_int G X3)) (tptp.groups5690904116761175830ex_int G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex))))))))
% 16.06/16.29 (assume a8138 (forall ((A4 tptp.set_bool) (G tptp.fun_bool_real) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (= (tptp.groups502887708668150281l_real G (tptp.insert_bool X3 A4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_bool_real G X3)) (tptp.groups502887708668150281l_real G (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))))))))
% 16.06/16.29 (assume a8139 (forall ((A4 tptp.set_bool) (G tptp.fun_bool_rat) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (= (tptp.groups5133371213642249141ol_rat G (tptp.insert_bool X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_bool_rat G X3)) (tptp.groups5133371213642249141ol_rat G (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))))))))
% 16.06/16.29 (assume a8140 (forall ((A4 tptp.set_bool) (G tptp.fun_bool_nat) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (= (tptp.groups5768501273728744877ol_nat G (tptp.insert_bool X3 A4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_bool_nat G X3)) (tptp.groups5768501273728744877ol_nat G (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))))))))
% 16.06/16.29 (assume a8141 (forall ((A4 tptp.set_bool) (G tptp.fun_bool_int) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (= (tptp.groups5766010803219694601ol_int G (tptp.insert_bool X3 A4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int G X3)) (tptp.groups5766010803219694601ol_int G (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))))))))
% 16.06/16.29 (assume a8142 (forall ((A4 tptp.set_int) (G tptp.fun_int_real) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (= (tptp.groups8778361861064173332t_real G (tptp.insert_int X3 A4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real G X3)) (tptp.groups8778361861064173332t_real G (tptp.minus_minus_set_int A4 (tptp.insert_int X3 tptp.bot_bot_set_int))))))))
% 16.06/16.29 (assume a8143 (forall ((A4 tptp.set_int) (G tptp.fun_int_rat) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (= (tptp.groups3906332499630173760nt_rat G (tptp.insert_int X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat G X3)) (tptp.groups3906332499630173760nt_rat G (tptp.minus_minus_set_int A4 (tptp.insert_int X3 tptp.bot_bot_set_int))))))))
% 16.06/16.29 (assume a8144 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (= (tptp.groups8097168146408367636l_real G A4) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real G X3)) (tptp.groups8097168146408367636l_real G (tptp.minus_minus_set_real A4 (tptp.insert_real X3 tptp.bot_bot_set_real)))))))))
% 16.06/16.29 (assume a8145 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (= (tptp.groups5808333547571424918x_real G A4) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real G X3)) (tptp.groups5808333547571424918x_real G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex)))))))))
% 16.06/16.29 (assume a8146 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (= (tptp.groups1300246762558778688al_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_real_rat G X3)) (tptp.groups1300246762558778688al_rat G (tptp.minus_minus_set_real A4 (tptp.insert_real X3 tptp.bot_bot_set_real)))))))))
% 16.06/16.29 (assume a8147 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (= (tptp.groups5058264527183730370ex_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_complex_rat G X3)) (tptp.groups5058264527183730370ex_rat G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex)))))))))
% 16.06/16.29 (assume a8148 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (= (tptp.groups1935376822645274424al_nat G A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_real_nat G X3)) (tptp.groups1935376822645274424al_nat G (tptp.minus_minus_set_real A4 (tptp.insert_real X3 tptp.bot_bot_set_real)))))))))
% 16.06/16.29 (assume a8149 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (= (tptp.groups5693394587270226106ex_nat G A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_complex_nat G X3)) (tptp.groups5693394587270226106ex_nat G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex)))))))))
% 16.06/16.29 (assume a8150 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (= (tptp.groups1932886352136224148al_int G A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int G X3)) (tptp.groups1932886352136224148al_int G (tptp.minus_minus_set_real A4 (tptp.insert_real X3 tptp.bot_bot_set_real)))))))))
% 16.06/16.29 (assume a8151 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (= (tptp.groups5690904116761175830ex_int G A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_complex_int G X3)) (tptp.groups5690904116761175830ex_int G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex)))))))))
% 16.06/16.29 (assume a8152 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (G tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (= (tptp.groups502887708668150281l_real G A4) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_bool_real G X3)) (tptp.groups502887708668150281l_real G (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool)))))))))
% 16.06/16.29 (assume a8153 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (G tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (= (tptp.groups5133371213642249141ol_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_bool_rat G X3)) (tptp.groups5133371213642249141ol_rat G (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool)))))))))
% 16.06/16.29 (assume a8154 (forall ((A4 tptp.set_real) (A tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (= (tptp.groups8097168146408367636l_real F (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.aa_real_real (tptp.minus_minus_real (tptp.groups8097168146408367636l_real F A4)) (tptp.aa_real_real F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4))) (= (tptp.groups8097168146408367636l_real F (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups8097168146408367636l_real F A4)))))))
% 16.06/16.29 (assume a8155 (forall ((A4 tptp.set_complex) (A tptp.complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4)) (= (tptp.groups5808333547571424918x_real F (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_real_real (tptp.minus_minus_real (tptp.groups5808333547571424918x_real F A4)) (tptp.aa_complex_real F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4))) (= (tptp.groups5808333547571424918x_real F (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups5808333547571424918x_real F A4)))))))
% 16.06/16.29 (assume a8156 (forall ((A4 tptp.set_bool) (A tptp.bool) (F tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4)) (= (tptp.groups502887708668150281l_real F (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool))) (tptp.aa_real_real (tptp.minus_minus_real (tptp.groups502887708668150281l_real F A4)) (tptp.aa_bool_real F A)))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4))) (= (tptp.groups502887708668150281l_real F (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool))) (tptp.groups502887708668150281l_real F A4)))))))
% 16.06/16.29 (assume a8157 (forall ((A4 tptp.set_int) (A tptp.int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4)) (= (tptp.groups8778361861064173332t_real F (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.aa_real_real (tptp.minus_minus_real (tptp.groups8778361861064173332t_real F A4)) (tptp.aa_int_real F A)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4))) (= (tptp.groups8778361861064173332t_real F (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.groups8778361861064173332t_real F A4)))))))
% 16.06/16.29 (assume a8158 (forall ((A4 tptp.set_real) (A tptp.real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (= (tptp.groups1300246762558778688al_rat F (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.groups1300246762558778688al_rat F A4)) (tptp.aa_real_rat F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4))) (= (tptp.groups1300246762558778688al_rat F (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups1300246762558778688al_rat F A4)))))))
% 16.06/16.29 (assume a8159 (forall ((A4 tptp.set_complex) (A tptp.complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4)) (= (tptp.groups5058264527183730370ex_rat F (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.groups5058264527183730370ex_rat F A4)) (tptp.aa_complex_rat F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4))) (= (tptp.groups5058264527183730370ex_rat F (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups5058264527183730370ex_rat F A4)))))))
% 16.06/16.29 (assume a8160 (forall ((A4 tptp.set_bool) (A tptp.bool) (F tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4)) (= (tptp.groups5133371213642249141ol_rat F (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.groups5133371213642249141ol_rat F A4)) (tptp.aa_bool_rat F A)))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4))) (= (tptp.groups5133371213642249141ol_rat F (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool))) (tptp.groups5133371213642249141ol_rat F A4)))))))
% 16.06/16.29 (assume a8161 (forall ((A4 tptp.set_int) (A tptp.int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4)) (= (tptp.groups3906332499630173760nt_rat F (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.groups3906332499630173760nt_rat F A4)) (tptp.aa_int_rat F A)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4))) (= (tptp.groups3906332499630173760nt_rat F (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.groups3906332499630173760nt_rat F A4)))))))
% 16.06/16.29 (assume a8162 (forall ((A4 tptp.set_real) (A tptp.real) (F tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (= (tptp.groups1932886352136224148al_int F (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups1932886352136224148al_int F A4)) (tptp.aa_real_int F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4))) (= (tptp.groups1932886352136224148al_int F (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups1932886352136224148al_int F A4)))))))
% 16.06/16.29 (assume a8163 (forall ((A4 tptp.set_complex) (A tptp.complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4)) (= (tptp.groups5690904116761175830ex_int F (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups5690904116761175830ex_int F A4)) (tptp.aa_complex_int F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4))) (= (tptp.groups5690904116761175830ex_int F (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups5690904116761175830ex_int F A4)))))))
% 16.06/16.29 (assume a8164 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.groups5808333547571424918x_real F (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups5808333547571424918x_real F A4)) (tptp.groups5808333547571424918x_real F B4))) (tptp.groups5808333547571424918x_real F (tptp.inf_inf_set_complex A4 B4))))))))
% 16.06/16.29 (assume a8165 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.groups5058264527183730370ex_rat F (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups5058264527183730370ex_rat F A4)) (tptp.groups5058264527183730370ex_rat F B4))) (tptp.groups5058264527183730370ex_rat F (tptp.inf_inf_set_complex A4 B4))))))))
% 16.06/16.29 (assume a8166 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (tptp.groups2906978787729119204at_rat F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat F A4)) (tptp.groups2906978787729119204at_rat F B4))) (tptp.groups2906978787729119204at_rat F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))))))
% 16.06/16.29 (assume a8167 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.groups5690904116761175830ex_int F (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5690904116761175830ex_int F A4)) (tptp.groups5690904116761175830ex_int F B4))) (tptp.groups5690904116761175830ex_int F (tptp.inf_inf_set_complex A4 B4))))))))
% 16.06/16.29 (assume a8168 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (tptp.groups3539618377306564664at_int F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int F A4)) (tptp.groups3539618377306564664at_int F B4))) (tptp.groups3539618377306564664at_int F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))))))
% 16.06/16.29 (assume a8169 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.groups7754918857620584856omplex F (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups7754918857620584856omplex F A4)) (tptp.groups7754918857620584856omplex F B4))) (tptp.groups7754918857620584856omplex F (tptp.inf_inf_set_complex A4 B4))))))))
% 16.06/16.29 (assume a8170 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (tptp.groups6591440286371151544t_real F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real F A4)) (tptp.groups6591440286371151544t_real F B4))) (tptp.groups6591440286371151544t_real F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))))))
% 16.06/16.29 (assume a8171 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (F tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (= (tptp.groups4538972089207619220nt_int F (tptp.sup_sup_set_int A4 B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int F A4)) (tptp.groups4538972089207619220nt_int F B4))) (tptp.groups4538972089207619220nt_int F (tptp.inf_inf_set_int A4 B4))))))))
% 16.06/16.29 (assume a8172 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr672294278902479040t_real)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B4)) (= (tptp.groups4567486121110086003t_real F (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) B4)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups4567486121110086003t_real F A4)) (tptp.groups4567486121110086003t_real F B4))) (tptp.groups4567486121110086003t_real F (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))))))))
% 16.06/16.29 (assume a8173 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr8317260874932935276at_rat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B4)) (= (tptp.groups342789780944988191at_rat F (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups342789780944988191at_rat F A4)) (tptp.groups342789780944988191at_rat F B4))) (tptp.groups342789780944988191at_rat F (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))))))))
% 16.06/16.29 (assume a8174 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (= (tptp.inf_inf_set_complex A4 B4) tptp.bot_bot_set_complex) (= (tptp.groups5808333547571424918x_real G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups5808333547571424918x_real G A4)) (tptp.groups5808333547571424918x_real G B4))))))))
% 16.06/16.29 (assume a8175 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (= (tptp.inf_inf_set_complex A4 B4) tptp.bot_bot_set_complex) (= (tptp.groups5058264527183730370ex_rat G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups5058264527183730370ex_rat G A4)) (tptp.groups5058264527183730370ex_rat G B4))))))))
% 16.06/16.29 (assume a8176 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (= (tptp.inf_inf_set_complex A4 B4) tptp.bot_bot_set_complex) (= (tptp.groups5693394587270226106ex_nat G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5693394587270226106ex_nat G A4)) (tptp.groups5693394587270226106ex_nat G B4))))))))
% 16.06/16.29 (assume a8177 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (= (tptp.inf_inf_set_complex A4 B4) tptp.bot_bot_set_complex) (= (tptp.groups5690904116761175830ex_int G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5690904116761175830ex_int G A4)) (tptp.groups5690904116761175830ex_int G B4))))))))
% 16.06/16.29 (assume a8178 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool) (= (tptp.groups502887708668150281l_real G (tptp.sup_sup_set_bool A4 B4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups502887708668150281l_real G A4)) (tptp.groups502887708668150281l_real G B4))))))))
% 16.06/16.29 (assume a8179 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool) (= (tptp.groups5133371213642249141ol_rat G (tptp.sup_sup_set_bool A4 B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups5133371213642249141ol_rat G A4)) (tptp.groups5133371213642249141ol_rat G B4))))))))
% 16.06/16.29 (assume a8180 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_nat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool) (= (tptp.groups5768501273728744877ol_nat G (tptp.sup_sup_set_bool A4 B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5768501273728744877ol_nat G A4)) (tptp.groups5768501273728744877ol_nat G B4))))))))
% 16.06/16.29 (assume a8181 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_int)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool) (= (tptp.groups5766010803219694601ol_int G (tptp.sup_sup_set_bool A4 B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5766010803219694601ol_int G A4)) (tptp.groups5766010803219694601ol_int G B4))))))))
% 16.06/16.29 (assume a8182 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) tptp.bot_bot_set_nat) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G A4)) (tptp.groups2906978787729119204at_rat G B4))))))))
% 16.06/16.29 (assume a8183 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) tptp.bot_bot_set_nat) (= (tptp.groups3539618377306564664at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G A4)) (tptp.groups3539618377306564664at_int G B4))))))))
% 16.06/16.29 (assume a8184 (forall ((X3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real X3))) tptp.one_one_real)) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)))))))
% 16.06/16.29 (assume a8185 (forall ((X3 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3))) tptp.one_one_rat)) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)))))))
% 16.06/16.29 (assume a8186 (forall ((Z tptp.int) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real)) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real X3) Z)))))
% 16.06/16.29 (assume a8187 (forall ((Z tptp.int) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat)) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3) Z)))))
% 16.06/16.29 (assume a8188 (forall ((X3 tptp.real) (A tptp.int)) (= (= (tptp.aa_real_int tptp.archim7802044766580827645g_real X3) A) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) tptp.one_one_real)) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real A)))))))
% 16.06/16.29 (assume a8189 (forall ((X3 tptp.rat) (A tptp.int)) (= (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3) A) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) tptp.one_one_rat)) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat A)))))))
% 16.06/16.29 (assume a8190 (forall ((P tptp.fun_int_bool) (T tptp.real)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_real_int tptp.archim7802044766580827645g_real T))) (forall ((I4 tptp.int)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real I4)) tptp.one_one_real)) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T) (tptp.aa_int_real tptp.ring_1_of_int_real I4)))) (tptp.pp (tptp.aa_int_bool P I4)))))))
% 16.06/16.29 (assume a8191 (forall ((P tptp.fun_int_bool) (T tptp.rat)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat T))) (forall ((I4 tptp.int)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat I4)) tptp.one_one_rat)) T)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat T) (tptp.aa_int_rat tptp.ring_1_of_int_rat I4)))) (tptp.pp (tptp.aa_int_bool P I4)))))))
% 16.06/16.29 (assume a8192 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.sup_sup_set_complex A4 B4))) (= (tptp.groups5808333547571424918x_real F (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups5808333547571424918x_real F (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups5808333547571424918x_real F (tptp.minus_811609699411566653omplex B4 A4)))) (tptp.groups5808333547571424918x_real F (tptp.inf_inf_set_complex A4 B4)))))))
% 16.06/16.29 (assume a8193 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.sup_sup_set_complex A4 B4))) (= (tptp.groups5058264527183730370ex_rat F (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups5058264527183730370ex_rat F (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups5058264527183730370ex_rat F (tptp.minus_811609699411566653omplex B4 A4)))) (tptp.groups5058264527183730370ex_rat F (tptp.inf_inf_set_complex A4 B4)))))))
% 16.06/16.29 (assume a8194 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.sup_sup_set_complex A4 B4))) (= (tptp.groups5693394587270226106ex_nat F (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5693394587270226106ex_nat F (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups5693394587270226106ex_nat F (tptp.minus_811609699411566653omplex B4 A4)))) (tptp.groups5693394587270226106ex_nat F (tptp.inf_inf_set_complex A4 B4)))))))
% 16.06/16.29 (assume a8195 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.sup_sup_set_complex A4 B4))) (= (tptp.groups5690904116761175830ex_int F (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5690904116761175830ex_int F (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups5690904116761175830ex_int F (tptp.minus_811609699411566653omplex B4 A4)))) (tptp.groups5690904116761175830ex_int F (tptp.inf_inf_set_complex A4 B4)))))))
% 16.06/16.29 (assume a8196 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (= (tptp.groups2906978787729119204at_rat F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.groups2906978787729119204at_rat F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)))) (tptp.groups2906978787729119204at_rat F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)))))))
% 16.06/16.29 (assume a8197 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (= (tptp.groups3539618377306564664at_int F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.groups3539618377306564664at_int F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)))) (tptp.groups3539618377306564664at_int F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)))))))
% 16.06/16.29 (assume a8198 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)))))))
% 16.06/16.29 (assume a8199 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.sup_sup_set_complex A4 B4))) (= (tptp.groups7754918857620584856omplex F (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups7754918857620584856omplex F (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups7754918857620584856omplex F (tptp.minus_811609699411566653omplex B4 A4)))) (tptp.groups7754918857620584856omplex F (tptp.inf_inf_set_complex A4 B4)))))))
% 16.06/16.29 (assume a8200 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4))) (= (tptp.groups6591440286371151544t_real F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.groups6591440286371151544t_real F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)))) (tptp.groups6591440286371151544t_real F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4)))))))
% 16.06/16.29 (assume a8201 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (F tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int (tptp.sup_sup_set_int A4 B4))) (= (tptp.groups4538972089207619220nt_int F (tptp.sup_sup_set_int A4 B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int F (tptp.minus_minus_set_int A4 B4))) (tptp.groups4538972089207619220nt_int F (tptp.minus_minus_set_int B4 A4)))) (tptp.groups4538972089207619220nt_int F (tptp.inf_inf_set_int A4 B4)))))))
% 16.06/16.29 (assume a8202 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.groups5808333547571424918x_real G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups5808333547571424918x_real G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups5808333547571424918x_real G (tptp.minus_811609699411566653omplex B4 A4)))) (tptp.groups5808333547571424918x_real G (tptp.inf_inf_set_complex A4 B4))))))))
% 16.06/16.29 (assume a8203 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.groups5058264527183730370ex_rat G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups5058264527183730370ex_rat G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups5058264527183730370ex_rat G (tptp.minus_811609699411566653omplex B4 A4)))) (tptp.groups5058264527183730370ex_rat G (tptp.inf_inf_set_complex A4 B4))))))))
% 16.06/16.29 (assume a8204 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.groups5693394587270226106ex_nat G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5693394587270226106ex_nat G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups5693394587270226106ex_nat G (tptp.minus_811609699411566653omplex B4 A4)))) (tptp.groups5693394587270226106ex_nat G (tptp.inf_inf_set_complex A4 B4))))))))
% 16.06/16.29 (assume a8205 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.groups5690904116761175830ex_int G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5690904116761175830ex_int G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups5690904116761175830ex_int G (tptp.minus_811609699411566653omplex B4 A4)))) (tptp.groups5690904116761175830ex_int G (tptp.inf_inf_set_complex A4 B4))))))))
% 16.06/16.29 (assume a8206 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.groups2906978787729119204at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)))) (tptp.groups2906978787729119204at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))))))
% 16.06/16.29 (assume a8207 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.groups3539618377306564664at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)))) (tptp.groups3539618377306564664at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))))))
% 16.06/16.29 (assume a8208 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))))))
% 16.06/16.29 (assume a8209 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.groups7754918857620584856omplex G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.groups7754918857620584856omplex G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups7754918857620584856omplex G (tptp.minus_811609699411566653omplex B4 A4)))) (tptp.groups7754918857620584856omplex G (tptp.inf_inf_set_complex A4 B4))))))))
% 16.06/16.29 (assume a8210 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.groups6591440286371151544t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat B4) A4)))) (tptp.groups6591440286371151544t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))))))
% 16.06/16.29 (assume a8211 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (= (tptp.groups4538972089207619220nt_int G (tptp.sup_sup_set_int A4 B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int G (tptp.minus_minus_set_int A4 B4))) (tptp.groups4538972089207619220nt_int G (tptp.minus_minus_set_int B4 A4)))) (tptp.groups4538972089207619220nt_int G (tptp.inf_inf_set_int A4 B4))))))))
% 16.06/16.29 (assume a8212 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.times_times_real A) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int tptp.archim7802044766580827645g_real A)) (tptp.aa_real_int tptp.archim7802044766580827645g_real B))))))))
% 16.06/16.29 (assume a8213 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat A)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat B))))))))
% 16.06/16.29 (assume a8214 (forall ((X3 tptp.real) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X3)) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real))))))
% 16.06/16.29 (assume a8215 (forall ((X3 tptp.rat) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3)) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat))))))
% 16.06/16.29 (assume a8216 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.06/16.29 (assume a8217 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_int) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.06/16.29 (assume a8218 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.06/16.29 (assume a8219 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_real) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.06/16.29 (assume a8220 (forall ((A4 tptp.set_complex) (F tptp.fun_co8153928105989009288nteger) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.divide6298287555418463151nteger (tptp.groups6621422865394947399nteger F A4) B) (tptp.plus_p5714425477246183910nteger (tptp.groups6621422865394947399nteger (tptp.aa_Cod1660996421839551523nteger (tptp.aTP_Lamm_jv F) B) (tptp.inf_inf_set_complex A4 (tptp.collect_complex (tptp.aa_Cod6819470024986797159x_bool (tptp.aTP_Lamm_jw F) B)))) (tptp.divide6298287555418463151nteger (tptp.groups6621422865394947399nteger F (tptp.inf_inf_set_complex A4 (tptp.collect_complex (tptp.aa_Cod6819470024986797159x_bool (tptp.aTP_Lamm_jx F) B)))) B))))))
% 16.06/16.29 (assume a8221 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_Code_integer) (B tptp.code_integer)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.divide6298287555418463151nteger (tptp.aa_set871585252387937313nteger (tptp.groups7501900531339628137nteger F) A4) B) (tptp.plus_p5714425477246183910nteger (tptp.aa_set871585252387937313nteger (tptp.groups7501900531339628137nteger (tptp.aa_Cod1578151519121547077nteger (tptp.aTP_Lamm_jy F) B)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.collect_nat (tptp.aa_Cod2498268374540730821t_bool (tptp.aTP_Lamm_jz F) B)))) (tptp.divide6298287555418463151nteger (tptp.aa_set871585252387937313nteger (tptp.groups7501900531339628137nteger F) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.collect_nat (tptp.aa_Cod2498268374540730821t_bool (tptp.aTP_Lamm_ka F) B)))) B))))))
% 16.06/16.29 (assume a8222 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.groups5693394587270226106ex_nat F A4)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5693394587270226106ex_nat (tptp.aa_nat3391284541783913865ex_nat (tptp.aTP_Lamm_kb F) B) (tptp.inf_inf_set_complex A4 (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_kc F) B))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.groups5693394587270226106ex_nat F (tptp.inf_inf_set_complex A4 (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_kd F) B))))) B))))))
% 16.06/16.29 (assume a8223 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_int) (B tptp.int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.groups5690904116761175830ex_int F A4)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups5690904116761175830ex_int (tptp.aa_int6126987627036542017ex_int (tptp.aTP_Lamm_ke F) B) (tptp.inf_inf_set_complex A4 (tptp.collect_complex (tptp.aa_int5354780257279585880x_bool (tptp.aTP_Lamm_kf F) B))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.groups5690904116761175830ex_int F (tptp.inf_inf_set_complex A4 (tptp.collect_complex (tptp.aa_int5354780257279585880x_bool (tptp.aTP_Lamm_kg F) B))))) B))))))
% 16.06/16.29 (assume a8224 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_int) (B tptp.int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.groups3539618377306564664at_int F A4)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_kh F) B) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.collect_nat (tptp.aa_int_fun_nat_bool (tptp.aTP_Lamm_ki F) B))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.groups3539618377306564664at_int F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.collect_nat (tptp.aa_int_fun_nat_bool (tptp.aTP_Lamm_kj F) B))))) B))))))
% 16.06/16.30 (assume a8225 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_kk F) B)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_kl F) B))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_km F) B))))) B))))))
% 16.06/16.30 (assume a8226 (forall ((A4 tptp.set_int) (F tptp.fun_int_int) (B tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.groups4538972089207619220nt_int F A4)) B) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups4538972089207619220nt_int (tptp.aa_int_fun_int_int (tptp.aTP_Lamm_kn F) B) (tptp.inf_inf_set_int A4 (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_ko F) B))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.groups4538972089207619220nt_int F (tptp.inf_inf_set_int A4 (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_kp F) B))))) B))))))
% 16.06/16.30 (assume a8227 (forall ((A4 tptp.set_set_nat) (F tptp.fun_se7586849273513198688nteger) (B tptp.code_integer)) (=> (tptp.finite1152437895449049373et_nat A4) (= (tptp.divide6298287555418463151nteger (tptp.groups9190459664516455967nteger F A4) B) (tptp.plus_p5714425477246183910nteger (tptp.groups9190459664516455967nteger (tptp.aa_Cod3249490220333259515nteger (tptp.aTP_Lamm_kq F) B) (tptp.inf_inf_set_set_nat A4 (tptp.collect_set_nat (tptp.aa_Cod764135534001036175t_bool (tptp.aTP_Lamm_kr F) B)))) (tptp.divide6298287555418463151nteger (tptp.groups9190459664516455967nteger F (tptp.inf_inf_set_set_nat A4 (tptp.collect_set_nat (tptp.aa_Cod764135534001036175t_bool (tptp.aTP_Lamm_ks F) B)))) B))))))
% 16.06/16.30 (assume a8228 (forall ((A4 tptp.set_list_nat) (F tptp.fun_li3231056112175589690nteger) (B tptp.code_integer)) (=> (tptp.finite8100373058378681591st_nat A4) (= (tptp.divide6298287555418463151nteger (tptp.groups3257113351181983737nteger F A4) B) (tptp.plus_p5714425477246183910nteger (tptp.groups3257113351181983737nteger (tptp.aa_Cod1658353545975407189nteger (tptp.aTP_Lamm_kt F) B) (tptp.inf_inf_set_list_nat A4 (tptp.collect_list_nat (tptp.aa_Cod4030550284336906933t_bool (tptp.aTP_Lamm_ku F) B)))) (tptp.divide6298287555418463151nteger (tptp.groups3257113351181983737nteger F (tptp.inf_inf_set_list_nat A4 (tptp.collect_list_nat (tptp.aa_Cod4030550284336906933t_bool (tptp.aTP_Lamm_kv F) B)))) B))))))
% 16.06/16.30 (assume a8229 (forall ((A4 tptp.set_set_nat) (F tptp.fun_set_nat_nat) (B tptp.nat)) (=> (tptp.finite1152437895449049373et_nat A4) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.groups8294997508430121362at_nat F A4)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups8294997508430121362at_nat (tptp.aa_nat6910189468943142497at_nat (tptp.aTP_Lamm_kw F) B) (tptp.inf_inf_set_set_nat A4 (tptp.collect_set_nat (tptp.aa_nat8857836526276733660t_bool (tptp.aTP_Lamm_kx F) B))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.groups8294997508430121362at_nat F (tptp.inf_inf_set_set_nat A4 (tptp.collect_set_nat (tptp.aa_nat8857836526276733660t_bool (tptp.aTP_Lamm_ky F) B))))) B))))))
% 16.06/16.30 (assume a8230 (forall ((S3 tptp.set_real) (A tptp.real) (B tptp.fun_real_real) (C tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S3)) (= (tptp.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_kz A) B) C) S3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real B A)) (tptp.groups8097168146408367636l_real C (tptp.minus_minus_set_real S3 (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S3))) (= (tptp.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_kz A) B) C) S3) (tptp.groups8097168146408367636l_real C (tptp.minus_minus_set_real S3 (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 16.06/16.30 (assume a8231 (forall ((S3 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_real) (C tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S3)) (= (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_la A) B) C) S3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real B A)) (tptp.groups5808333547571424918x_real C (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S3))) (= (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_la A) B) C) S3) (tptp.groups5808333547571424918x_real C (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 16.06/16.30 (assume a8232 (forall ((S3 tptp.set_real) (A tptp.real) (B tptp.fun_real_rat) (C tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S3)) (= (tptp.groups1300246762558778688al_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aa_fun1537150169341160510al_rat (tptp.aTP_Lamm_lb A) B) C) S3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_real_rat B A)) (tptp.groups1300246762558778688al_rat C (tptp.minus_minus_set_real S3 (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S3))) (= (tptp.groups1300246762558778688al_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aa_fun1537150169341160510al_rat (tptp.aTP_Lamm_lb A) B) C) S3) (tptp.groups1300246762558778688al_rat C (tptp.minus_minus_set_real S3 (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 16.06/16.30 (assume a8233 (forall ((S3 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_rat) (C tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S3)) (= (tptp.groups5058264527183730370ex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aa_fun530470884365435460ex_rat (tptp.aTP_Lamm_lc A) B) C) S3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_complex_rat B A)) (tptp.groups5058264527183730370ex_rat C (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S3))) (= (tptp.groups5058264527183730370ex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aa_fun530470884365435460ex_rat (tptp.aTP_Lamm_lc A) B) C) S3) (tptp.groups5058264527183730370ex_rat C (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 16.06/16.30 (assume a8234 (forall ((S3 tptp.set_real) (A tptp.real) (B tptp.fun_real_nat) (C tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S3)) (= (tptp.groups1935376822645274424al_nat (tptp.aa_fun211602392931233840al_nat (tptp.aa_fun1500080954902701606al_nat (tptp.aTP_Lamm_ld A) B) C) S3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_real_nat B A)) (tptp.groups1935376822645274424al_nat C (tptp.minus_minus_set_real S3 (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S3))) (= (tptp.groups1935376822645274424al_nat (tptp.aa_fun211602392931233840al_nat (tptp.aa_fun1500080954902701606al_nat (tptp.aTP_Lamm_ld A) B) C) S3) (tptp.groups1935376822645274424al_nat C (tptp.minus_minus_set_real S3 (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 16.06/16.30 (assume a8235 (forall ((S3 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_nat) (C tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S3)) (= (tptp.groups5693394587270226106ex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aa_fun2484745150758625324ex_nat (tptp.aTP_Lamm_le A) B) C) S3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_complex_nat B A)) (tptp.groups5693394587270226106ex_nat C (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S3))) (= (tptp.groups5693394587270226106ex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aa_fun2484745150758625324ex_nat (tptp.aTP_Lamm_le A) B) C) S3) (tptp.groups5693394587270226106ex_nat C (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 16.06/16.30 (assume a8236 (forall ((S3 tptp.set_real) (A tptp.real) (B tptp.fun_real_int) (C tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S3)) (= (tptp.groups1932886352136224148al_int (tptp.aa_fun8270430325945277160al_int (tptp.aa_fun7818883909550569274al_int (tptp.aTP_Lamm_lf A) B) C) S3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int B A)) (tptp.groups1932886352136224148al_int C (tptp.minus_minus_set_real S3 (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S3))) (= (tptp.groups1932886352136224148al_int (tptp.aa_fun8270430325945277160al_int (tptp.aa_fun7818883909550569274al_int (tptp.aTP_Lamm_lf A) B) C) S3) (tptp.groups1932886352136224148al_int C (tptp.minus_minus_set_real S3 (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 16.06/16.30 (assume a8237 (forall ((S3 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_int) (C tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S3)) (= (tptp.groups5690904116761175830ex_int (tptp.aa_fun4286351638413746156ex_int (tptp.aa_fun6437630453459604288ex_int (tptp.aTP_Lamm_lg A) B) C) S3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_complex_int B A)) (tptp.groups5690904116761175830ex_int C (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S3))) (= (tptp.groups5690904116761175830ex_int (tptp.aa_fun4286351638413746156ex_int (tptp.aa_fun6437630453459604288ex_int (tptp.aTP_Lamm_lg A) B) C) S3) (tptp.groups5690904116761175830ex_int C (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 16.06/16.30 (assume a8238 (forall ((S3 tptp.set_bool) (A tptp.bool) (B tptp.fun_bool_real) (C tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S3)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) S3)) (= (tptp.groups502887708668150281l_real (tptp.aa_fun8933258245593490108l_real (tptp.aa_fun7752257246785809757l_real (tptp.aTP_Lamm_lh A) B) C) S3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_bool_real B A)) (tptp.groups502887708668150281l_real C (tptp.minus_minus_set_bool S3 (tptp.insert_bool A tptp.bot_bot_set_bool)))))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) S3))) (= (tptp.groups502887708668150281l_real (tptp.aa_fun8933258245593490108l_real (tptp.aa_fun7752257246785809757l_real (tptp.aTP_Lamm_lh A) B) C) S3) (tptp.groups502887708668150281l_real C (tptp.minus_minus_set_bool S3 (tptp.insert_bool A tptp.bot_bot_set_bool)))))))))
% 16.06/16.30 (assume a8239 (forall ((S3 tptp.set_bool) (A tptp.bool) (B tptp.fun_bool_rat) (C tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S3)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) S3)) (= (tptp.groups5133371213642249141ol_rat (tptp.aa_fun224000846028461884ol_rat (tptp.aa_fun1200222457022472201ol_rat (tptp.aTP_Lamm_li A) B) C) S3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_bool_rat B A)) (tptp.groups5133371213642249141ol_rat C (tptp.minus_minus_set_bool S3 (tptp.insert_bool A tptp.bot_bot_set_bool)))))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) S3))) (= (tptp.groups5133371213642249141ol_rat (tptp.aa_fun224000846028461884ol_rat (tptp.aa_fun1200222457022472201ol_rat (tptp.aTP_Lamm_li A) B) C) S3) (tptp.groups5133371213642249141ol_rat C (tptp.minus_minus_set_bool S3 (tptp.insert_bool A tptp.bot_bot_set_bool)))))))))
% 16.06/16.30 (assume a8240 (= tptp.nat_set_encode (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a8241 (forall ((B4 tptp.set_real) (A4 tptp.set_real) (B tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) (tptp.minus_minus_set_real B4 A4))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F B))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) B4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups8097168146408367636l_real F A4)) (tptp.groups8097168146408367636l_real F B4))))))))))
% 16.06/16.30 (assume a8242 (forall ((B4 tptp.set_bool) (A4 tptp.set_bool) (B tptp.bool) (F tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B) (tptp.minus_minus_set_bool B4 A4))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_bool_real F B))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) B4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups502887708668150281l_real F A4)) (tptp.groups502887708668150281l_real F B4))))))))))
% 16.06/16.30 (assume a8243 (forall ((B4 tptp.set_int) (A4 tptp.set_int) (B tptp.int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) (tptp.minus_minus_set_int B4 A4))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_int_real F B))) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) B4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups8778361861064173332t_real F A4)) (tptp.groups8778361861064173332t_real F B4))))))))))
% 16.06/16.30 (assume a8244 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (B tptp.complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B) (tptp.minus_811609699411566653omplex B4 A4))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real F B))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) B4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups5808333547571424918x_real F A4)) (tptp.groups5808333547571424918x_real F B4))))))))))
% 16.06/16.30 (assume a8245 (forall ((B4 tptp.set_real) (A4 tptp.set_real) (B tptp.real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) (tptp.minus_minus_set_real B4 A4))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_real_rat F B))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) B4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups1300246762558778688al_rat F A4)) (tptp.groups1300246762558778688al_rat F B4))))))))))
% 16.06/16.30 (assume a8246 (forall ((B4 tptp.set_bool) (A4 tptp.set_bool) (B tptp.bool) (F tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B) (tptp.minus_minus_set_bool B4 A4))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F B))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) B4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups5133371213642249141ol_rat F A4)) (tptp.groups5133371213642249141ol_rat F B4))))))))))
% 16.06/16.30 (assume a8247 (forall ((B4 tptp.set_int) (A4 tptp.set_int) (B tptp.int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B) (tptp.minus_minus_set_int B4 A4))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_int_rat F B))) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) B4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups3906332499630173760nt_rat F A4)) (tptp.groups3906332499630173760nt_rat F B4))))))))))
% 16.06/16.30 (assume a8248 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (B tptp.complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B) (tptp.minus_811609699411566653omplex B4 A4))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F B))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) B4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups5058264527183730370ex_rat F A4)) (tptp.groups5058264527183730370ex_rat F B4))))))))))
% 16.06/16.30 (assume a8249 (forall ((B4 tptp.set_real) (A4 tptp.set_real) (B tptp.real) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B) (tptp.minus_minus_set_real B4 A4))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_real_nat F B))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) B4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_real_nat F X5))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups1935376822645274424al_nat F A4)) (tptp.groups1935376822645274424al_nat F B4))))))))))
% 16.06/16.30 (assume a8250 (forall ((B4 tptp.set_bool) (A4 tptp.set_bool) (B tptp.bool) (F tptp.fun_bool_nat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B) (tptp.minus_minus_set_bool B4 A4))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_bool_nat F B))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) B4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_bool_nat F X5))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.groups5768501273728744877ol_nat F A4)) (tptp.groups5768501273728744877ol_nat F B4))))))))))
% 16.06/16.30 (assume a8251 (forall ((I tptp.real) (A4 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) A4)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real A4 (tptp.insert_real I tptp.bot_bot_set_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X5))))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F I)) (tptp.groups8097168146408367636l_real F A4))))))))
% 16.06/16.30 (assume a8252 (forall ((I tptp.complex) (A4 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) A4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex I tptp.bot_bot_set_complex)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F X5))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F I)) (tptp.groups5808333547571424918x_real F A4))))))))
% 16.06/16.30 (assume a8253 (forall ((I tptp.bool) (A4 tptp.set_bool) (F tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) A4)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool A4 (tptp.insert_bool I tptp.bot_bot_set_bool)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real F X5))))) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_bool_real F I)) (tptp.groups502887708668150281l_real F A4))))))))
% 16.06/16.30 (assume a8254 (forall ((I tptp.int) (A4 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) A4)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.minus_minus_set_int A4 (tptp.insert_int I tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F X5))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F I)) (tptp.groups8778361861064173332t_real F A4))))))))
% 16.06/16.30 (assume a8255 (forall ((I tptp.real) (A4 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) A4)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real A4 (tptp.insert_real I tptp.bot_bot_set_real)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F X5))))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F I)) (tptp.groups1300246762558778688al_rat F A4))))))))
% 16.06/16.30 (assume a8256 (forall ((I tptp.complex) (A4 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) A4)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex I tptp.bot_bot_set_complex)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F X5))))) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F I)) (tptp.groups5058264527183730370ex_rat F A4))))))))
% 16.06/16.30 (assume a8257 (forall ((I tptp.bool) (A4 tptp.set_bool) (F tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) A4)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool A4 (tptp.insert_bool I tptp.bot_bot_set_bool)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F X5))))) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_bool_rat F I)) (tptp.groups5133371213642249141ol_rat F A4))))))))
% 16.06/16.30 (assume a8258 (forall ((I tptp.int) (A4 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) A4)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.minus_minus_set_int A4 (tptp.insert_int I tptp.bot_bot_set_int)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F X5))))) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F I)) (tptp.groups3906332499630173760nt_rat F A4))))))))
% 16.06/16.30 (assume a8259 (forall ((I tptp.nat) (A4 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) A4)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat I tptp.bot_bot_set_nat)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F X5))))) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F I)) (tptp.groups2906978787729119204at_rat F A4))))))))
% 16.06/16.30 (assume a8260 (forall ((I tptp.real) (A4 tptp.set_real) (F tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) A4)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real A4 (tptp.insert_real I tptp.bot_bot_set_real)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_real_nat F X5))))) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat F I)) (tptp.groups1935376822645274424al_nat F A4))))))))
% 16.06/16.30 (assume a8261 (forall ((Q3 tptp.real) (P2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Q3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real P2) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.divide_divide_real P2) Q3)))) Q3))))))
% 16.06/16.30 (assume a8262 (forall ((Q3 tptp.rat) (P2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Q3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat P2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat P2) Q3)))) Q3))))))
% 16.06/16.30 (assume a8263 (forall ((F tptp.fun_nat_complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq F) Z)) (= (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq F) Z)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex F tptp.zero_zero_nat)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iv F) Z))) Z))))))
% 16.06/16.30 (assume a8264 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io F) Z)) (= (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io F) Z)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real F tptp.zero_zero_nat)) (tptp.aa_real_real (tptp.times_times_real (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_iw F) Z))) Z))))))
% 16.06/16.30 (assume a8265 (forall ((F tptp.fun_nat_complex) (Z tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq F) Z)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iv F) Z))) Z) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq F) Z))) (tptp.aa_nat_complex F tptp.zero_zero_nat))))))
% 16.06/16.30 (assume a8266 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io F) Z)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_iw F) Z))) Z) (tptp.aa_real_real (tptp.minus_minus_real (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io F) Z))) (tptp.aa_nat_real F tptp.zero_zero_nat))))))
% 16.06/16.30 (assume a8267 (forall ((R2 tptp.real) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R2)) (=> (tptp.summable_real F) (exists ((N7 tptp.nat)) (forall ((N8 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) N8)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.suminf_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ib F) N8)))) R2)))))))))
% 16.06/16.30 (assume a8268 (forall ((R2 tptp.real) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R2)) (=> (tptp.summable_complex F) (exists ((N7 tptp.nat)) (forall ((N8 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) N8)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.suminf_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_lj F) N8)))) R2)))))))))
% 16.06/16.30 (assume a8269 (forall ((I5 tptp.set_complex) (X3 tptp.fun_co8153928105989009288nteger) (A tptp.fun_co8153928105989009288nteger) (B tptp.code_integer) (Delta tptp.code_integer)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_com4217951221296830281nteger X3 I3))))) (=> (= (tptp.groups6621422865394947399nteger X3 I5) tptp.one_one_Code_integer) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.aa_com4217951221296830281nteger A I3) B))) Delta)))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.groups6621422865394947399nteger (tptp.aa_fun5267417455630836558nteger (tptp.aTP_Lamm_lk X3) A) I5) B))) Delta)))))))
% 16.06/16.30 (assume a8270 (forall ((I5 tptp.set_real) (X3 tptp.fun_re6978948838062957830nteger) (A tptp.fun_re6978948838062957830nteger) (B tptp.code_integer) (Delta tptp.code_integer)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_real_Code_integer X3 I3))))) (=> (= (tptp.groups7713935264441627589nteger X3 I5) tptp.one_one_Code_integer) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.aa_real_Code_integer A I3) B))) Delta)))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.groups7713935264441627589nteger (tptp.aa_fun7923231501384339402nteger (tptp.aTP_Lamm_ll X3) A) I5) B))) Delta)))))))
% 16.06/16.30 (assume a8271 (forall ((I5 tptp.set_bool) (X3 tptp.fun_bo7282069421189217543nteger) (A tptp.fun_bo7282069421189217543nteger) (B tptp.code_integer) (Delta tptp.code_integer)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_bool_Code_integer X3 I3))))) (=> (= (tptp.groups1682264926906508858nteger X3 I5) tptp.one_one_Code_integer) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.aa_bool_Code_integer A I3) B))) Delta)))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.groups1682264926906508858nteger (tptp.aa_fun1377107737837666940nteger (tptp.aTP_Lamm_lm X3) A) I5) B))) Delta)))))))
% 16.06/16.30 (assume a8272 (forall ((I5 tptp.set_nat) (X3 tptp.fun_nat_Code_integer) (A tptp.fun_nat_Code_integer) (B tptp.code_integer) (Delta tptp.code_integer)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I5)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_nat_Code_integer X3 I3))))) (=> (= (tptp.aa_set871585252387937313nteger (tptp.groups7501900531339628137nteger X3) I5) tptp.one_one_Code_integer) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I5)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.aa_nat_Code_integer A I3) B))) Delta)))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.aa_set871585252387937313nteger (tptp.groups7501900531339628137nteger (tptp.aa_fun589076786913273746nteger (tptp.aTP_Lamm_ln X3) A)) I5) B))) Delta)))))))
% 16.06/16.30 (assume a8273 (forall ((I5 tptp.set_int) (X3 tptp.fun_int_Code_integer) (A tptp.fun_int_Code_integer) (B tptp.code_integer) (Delta tptp.code_integer)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_int_Code_integer X3 I3))))) (=> (= (tptp.groups7873554091576472773nteger X3 I5) tptp.one_one_Code_integer) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.aa_int_Code_integer A I3) B))) Delta)))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.groups7873554091576472773nteger (tptp.aa_fun5304498221708291146nteger (tptp.aTP_Lamm_lo X3) A) I5) B))) Delta)))))))
% 16.06/16.30 (assume a8274 (forall ((I5 tptp.set_complex) (X3 tptp.fun_complex_real) (A tptp.fun_complex_real) (B tptp.real) (Delta tptp.real)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real X3 I3))))) (=> (= (tptp.groups5808333547571424918x_real X3 I5) tptp.one_one_real) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_complex_real A I3)) B))) Delta)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.groups5808333547571424918x_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_lp X3) A) I5)) B))) Delta)))))))
% 16.06/16.30 (assume a8275 (forall ((I5 tptp.set_real) (X3 tptp.fun_real_real) (A tptp.fun_real_real) (B tptp.real) (Delta tptp.real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real X3 I3))))) (=> (= (tptp.groups8097168146408367636l_real X3 I5) tptp.one_one_real) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real A I3)) B))) Delta)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.groups8097168146408367636l_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_lq X3) A) I5)) B))) Delta)))))))
% 16.06/16.30 (assume a8276 (forall ((I5 tptp.set_bool) (X3 tptp.fun_bool_real) (A tptp.fun_bool_real) (B tptp.real) (Delta tptp.real)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real X3 I3))))) (=> (= (tptp.groups502887708668150281l_real X3 I5) tptp.one_one_real) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_bool_real A I3)) B))) Delta)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.groups502887708668150281l_real (tptp.aa_fun8933258245593490108l_real (tptp.aTP_Lamm_lr X3) A) I5)) B))) Delta)))))))
% 16.06/16.30 (assume a8277 (forall ((I5 tptp.set_int) (X3 tptp.fun_int_real) (A tptp.fun_int_real) (B tptp.real) (Delta tptp.real)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real X3 I3))))) (=> (= (tptp.groups8778361861064173332t_real X3 I5) tptp.one_one_real) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_int_real A I3)) B))) Delta)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.groups8778361861064173332t_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_ls X3) A) I5)) B))) Delta)))))))
% 16.06/16.30 (assume a8278 (forall ((I5 tptp.set_complex) (X3 tptp.fun_complex_rat) (A tptp.fun_complex_rat) (B tptp.rat) (Delta tptp.rat)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat X3 I3))))) (=> (= (tptp.groups5058264527183730370ex_rat X3 I5) tptp.one_one_rat) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_complex_rat A I3)) B))) Delta)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.groups5058264527183730370ex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aTP_Lamm_lt X3) A) I5)) B))) Delta)))))))
% 16.06/16.30 (assume a8279 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (=> (forall ((I3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F I3)) tptp.one_one_real))) (=> (forall ((I3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F I3)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Z)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) tptp.one_one_real)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io F) Z))))))))
% 16.06/16.30 (assume a8280 (forall ((R2 tptp.real) (R0 tptp.real) (A tptp.fun_nat_complex) (M7 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real R2) R0)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex A N2))) (tptp.aa_nat_real (tptp.power_power_real R0) N2))) M7))) (tptp.summable_real (tptp.aa_fun7054779078796324018t_real (tptp.aTP_Lamm_lu R2) A)))))))
% 16.06/16.30 (assume a8281 (forall ((M2 tptp.nat) (N tptp.nat) (F tptp.fun_nat_rat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_lv F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat F M2)) (tptp.aa_nat_rat F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_lv F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) tptp.zero_zero_rat)))))
% 16.06/16.30 (assume a8282 (forall ((M2 tptp.nat) (N tptp.nat) (F tptp.fun_nat_int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_lw F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F M2)) (tptp.aa_nat_int F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_lw F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) tptp.zero_zero_int)))))
% 16.06/16.30 (assume a8283 (forall ((M2 tptp.nat) (N tptp.nat) (F tptp.fun_nat_real)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_lx F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real F M2)) (tptp.aa_nat_real F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_lx F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) tptp.zero_zero_real)))))
% 16.06/16.30 (assume a8284 (forall ((M2 tptp.nat) (N tptp.nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_ly F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat F N)) (tptp.aa_nat_rat F M2))))))
% 16.06/16.30 (assume a8285 (forall ((M2 tptp.nat) (N tptp.nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_lz F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F N)) (tptp.aa_nat_int F M2))))))
% 16.06/16.30 (assume a8286 (forall ((M2 tptp.nat) (N tptp.nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ma F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real F N)) (tptp.aa_nat_real F M2))))))
% 16.06/16.30 (assume a8287 (forall ((C tptp.real) (N5 tptp.nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.one_one_real)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N5) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N2)))) (tptp.aa_real_real (tptp.times_times_real C) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_nat_real F N2))))))) (tptp.summable_real F)))))
% 16.06/16.30 (assume a8288 (forall ((C tptp.real) (N5 tptp.nat) (F tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.one_one_real)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N5) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex F (tptp.aa_nat_nat tptp.suc N2)))) (tptp.aa_real_real (tptp.times_times_real C) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex F N2))))))) (tptp.summable_complex F)))))
% 16.06/16.30 (assume a8289 (forall ((N tptp.int) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) tptp.one_one_real))) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int N) tptp.one_one_int))))))
% 16.06/16.30 (assume a8290 (forall ((N tptp.int) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat N)) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat N)) tptp.one_one_rat))) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int N) tptp.one_one_int))))))
% 16.06/16.30 (assume a8291 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int) (tptp.groups3539618377306564664at_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_mb N))))))
% 16.06/16.30 (assume a8292 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_mb N))))))
% 16.06/16.30 (assume a8293 (forall ((M2 tptp.nat) (N tptp.nat) (X3 tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X3)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) M2)) (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_nat_nat tptp.suc N)))))))
% 16.06/16.30 (assume a8294 (forall ((M2 tptp.nat) (N tptp.nat) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) X3)) (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) M2)) (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_nat_nat tptp.suc N)))))))
% 16.06/16.30 (assume a8295 (forall ((M2 tptp.nat) (N tptp.nat) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) X3)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int X3) M2)) (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_nat_nat tptp.suc N)))))))
% 16.06/16.30 (assume a8296 (forall ((M2 tptp.nat) (N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) X3)) (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X3) M2)) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_nat_nat tptp.suc N)))))))
% 16.06/16.30 (assume a8297 (forall ((G tptp.fun_nat_rat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_mc G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.30 (assume a8298 (forall ((G tptp.fun_nat_int) (M2 tptp.nat) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_md G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.30 (assume a8299 (forall ((G tptp.fun_nat_nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_me G)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.30 (assume a8300 (forall ((G tptp.fun_nat_real) (M2 tptp.nat) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_mf G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.30 (assume a8301 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_mb N))))))
% 16.06/16.30 (assume a8302 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_mg) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a8303 (forall ((N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2073611262835488442omplex tptp.semiri8010041392384452111omplex (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) tptp.one_one_complex)))))
% 16.06/16.30 (assume a8304 (forall ((N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2906978787729119204at_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) tptp.one_one_rat)))))
% 16.06/16.30 (assume a8305 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int)))))
% 16.06/16.30 (assume a8306 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) tptp.one_one_nat)))))
% 16.06/16.30 (assume a8307 (forall ((N tptp.nat)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups6591440286371151544t_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.one_one_real)))))
% 16.06/16.30 (assume a8308 (forall ((A tptp.complex) (D tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_mh A) D) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) tptp.one_one_complex)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) D))))))
% 16.06/16.30 (assume a8309 (forall ((A tptp.rat) (D tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_mi A) D) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) tptp.one_one_rat)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) D))))))
% 16.06/16.30 (assume a8310 (forall ((A tptp.int) (D tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_mj A) D) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) D))))))
% 16.06/16.30 (assume a8311 (forall ((A tptp.nat) (D tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_mk A) D)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) D))))))
% 16.06/16.30 (assume a8312 (forall ((A tptp.real) (D tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ml A) D) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.one_one_real)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) D))))))
% 16.06/16.30 (assume a8313 (forall ((A tptp.nat) (D tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_mm A) D)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) D)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a8314 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_mg) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) tptp.one_one_nat)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a8315 (forall ((A tptp.int) (D tptp.int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_mj A) D) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) D)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a8316 (forall ((A tptp.nat) (D tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_mk A) D)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) D)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a8317 (forall ((N tptp.nat)) (= (tptp.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a8318 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) tptp.one_one_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a8319 (forall ((N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2073611262835488442omplex tptp.semiri8010041392384452111omplex (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) tptp.one_one_complex)))))
% 16.06/16.30 (assume a8320 (forall ((N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2906978787729119204at_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) tptp.one_one_rat)))))
% 16.06/16.30 (assume a8321 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int)))))
% 16.06/16.30 (assume a8322 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) tptp.one_one_nat)))))
% 16.06/16.30 (assume a8323 (forall ((N tptp.nat)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups6591440286371151544t_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.one_one_real)))))
% 16.06/16.30 (assume a8324 (forall ((X3 tptp.complex) (M2 tptp.nat) (N tptp.nat)) (and (=> (= X3 tptp.one_one_complex) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) tptp.one_one_complex))) (=> (not (= X3 tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) M2)) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_nat_nat tptp.suc N))))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X3)))))))
% 16.06/16.30 (assume a8325 (forall ((X3 tptp.rat) (M2 tptp.nat) (N tptp.nat)) (and (=> (= X3 tptp.one_one_rat) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) tptp.one_one_rat))) (=> (not (= X3 tptp.one_one_rat)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) M2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_nat_nat tptp.suc N))))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) X3)))))))
% 16.06/16.30 (assume a8326 (forall ((X3 tptp.real) (M2 tptp.nat) (N tptp.nat)) (and (=> (= X3 tptp.one_one_real) (= (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.one_one_real))) (=> (not (= X3 tptp.one_one_real)) (= (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real X3) M2)) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_nat_nat tptp.suc N))))) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) X3)))))))
% 16.06/16.30 (assume a8327 (forall ((N tptp.nat)) (= (tptp.groups3539618377306564664at_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a8328 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.semiri1316708129612266289at_nat) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) tptp.one_one_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a8329 (forall ((H tptp.complex) (Z tptp.complex) (N tptp.nat)) (=> (not (= H tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) H)) N)) (tptp.aa_nat_complex (tptp.power_power_complex Z) N))) H)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.aa_complex_complex (tptp.times_times_complex H) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_mo H) Z) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.06/16.30 (assume a8330 (forall ((H tptp.rat) (Z tptp.rat) (N tptp.nat)) (=> (not (= H tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) H)) N)) (tptp.aa_nat_rat (tptp.power_power_rat Z) N))) H)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat H) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_mq H) Z) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.06/16.30 (assume a8331 (forall ((H tptp.real) (Z tptp.real) (N tptp.nat)) (=> (not (= H tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real Z) H)) N)) (tptp.aa_nat_real (tptp.power_power_real Z) N))) H)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.power_power_real Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.aa_real_real (tptp.times_times_real H) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_ms H) Z) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.06/16.30 (assume a8332 (forall ((X3 tptp.real) (B tptp.real) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B)) (= (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.log B) X3)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K2)) tptp.one_one_int)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.powr_real B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.powr_real B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) tptp.one_one_nat)))))))))))
% 16.06/16.30 (assume a8333 (forall ((Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_mt Z)) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a8334 (forall ((Z tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) tptp.one_one_real)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_mu Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a8335 (forall ((X6 tptp.fun_nat_real)) (= (tptp.topolo6980174941875973593q_real X6) (or (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 M5)) (tptp.aa_nat_real X6 N4))))) (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 N4)) (tptp.aa_nat_real X6 M5)))))))))
% 16.06/16.30 (assume a8336 (forall ((X6 tptp.fun_nat_set_nat)) (= (tptp.topolo7278393974255667507et_nat X6) (or (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 M5)) (tptp.aa_nat_set_nat X6 N4))))) (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 N4)) (tptp.aa_nat_set_nat X6 M5)))))))))
% 16.06/16.30 (assume a8337 (forall ((X6 tptp.fun_nat_rat)) (= (tptp.topolo4267028734544971653eq_rat X6) (or (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 M5)) (tptp.aa_nat_rat X6 N4))))) (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 N4)) (tptp.aa_nat_rat X6 M5)))))))))
% 16.06/16.30 (assume a8338 (forall ((X6 tptp.fun_nat_num)) (= (tptp.topolo1459490580787246023eq_num X6) (or (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 M5)) (tptp.aa_nat_num X6 N4))))) (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 N4)) (tptp.aa_nat_num X6 M5)))))))))
% 16.06/16.30 (assume a8339 (forall ((X6 tptp.fun_nat_nat)) (= (tptp.topolo4902158794631467389eq_nat X6) (or (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 M5)) (tptp.aa_nat_nat X6 N4))))) (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 N4)) (tptp.aa_nat_nat X6 M5)))))))))
% 16.06/16.30 (assume a8340 (forall ((X6 tptp.fun_nat_int)) (= (tptp.topolo4899668324122417113eq_int X6) (or (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 M5)) (tptp.aa_nat_int X6 N4))))) (forall ((M5 tptp.nat) (N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 N4)) (tptp.aa_nat_int X6 M5)))))))))
% 16.06/16.30 (assume a8341 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 N2)) (tptp.aa_nat_real X6 M))))) (tptp.topolo6980174941875973593q_real X6))))
% 16.06/16.30 (assume a8342 (forall ((X6 tptp.fun_nat_set_nat)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 N2)) (tptp.aa_nat_set_nat X6 M))))) (tptp.topolo7278393974255667507et_nat X6))))
% 16.06/16.30 (assume a8343 (forall ((X6 tptp.fun_nat_rat)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 N2)) (tptp.aa_nat_rat X6 M))))) (tptp.topolo4267028734544971653eq_rat X6))))
% 16.06/16.30 (assume a8344 (forall ((X6 tptp.fun_nat_num)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 N2)) (tptp.aa_nat_num X6 M))))) (tptp.topolo1459490580787246023eq_num X6))))
% 16.06/16.30 (assume a8345 (forall ((X6 tptp.fun_nat_nat)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 N2)) (tptp.aa_nat_nat X6 M))))) (tptp.topolo4902158794631467389eq_nat X6))))
% 16.06/16.30 (assume a8346 (forall ((X6 tptp.fun_nat_int)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 N2)) (tptp.aa_nat_int X6 M))))) (tptp.topolo4899668324122417113eq_int X6))))
% 16.06/16.30 (assume a8347 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_eq_set_rat (tptp.set_ord_lessThan_rat X3)) (tptp.set_ord_lessThan_rat Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)))))
% 16.06/16.30 (assume a8348 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_eq_set_num (tptp.set_ord_lessThan_num X3)) (tptp.set_ord_lessThan_num Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)))))
% 16.06/16.30 (assume a8349 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_ord_lessThan_int X3)) (tptp.set_ord_lessThan_int Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)))))
% 16.06/16.30 (assume a8350 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat X3)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)))))
% 16.06/16.30 (assume a8351 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_or5984915006950818249n_real X3)) (tptp.set_or5984915006950818249n_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)))))
% 16.06/16.30 (assume a8352 (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat tptp.zero_zero_nat) tptp.bot_bot_set_nat))
% 16.06/16.30 (assume a8353 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_rat G N)))))
% 16.06/16.30 (assume a8354 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_int G N)))))
% 16.06/16.30 (assume a8355 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_nat G N)))))
% 16.06/16.30 (assume a8356 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_real G N)))))
% 16.06/16.30 (assume a8357 (forall ((K2 tptp.bool)) (= (tptp.minus_minus_set_bool (tptp.insert_bool K2 tptp.bot_bot_set_bool) (tptp.set_or4454636193642143162n_bool K2)) (tptp.insert_bool K2 tptp.bot_bot_set_bool))))
% 16.06/16.30 (assume a8358 (forall ((K2 tptp.int)) (= (tptp.minus_minus_set_int (tptp.insert_int K2 tptp.bot_bot_set_int) (tptp.set_ord_lessThan_int K2)) (tptp.insert_int K2 tptp.bot_bot_set_int))))
% 16.06/16.30 (assume a8359 (forall ((K2 tptp.nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.insert_nat K2 tptp.bot_bot_set_nat)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K2)) (tptp.insert_nat K2 tptp.bot_bot_set_nat))))
% 16.06/16.30 (assume a8360 (forall ((K2 tptp.real)) (= (tptp.minus_minus_set_real (tptp.insert_real K2 tptp.bot_bot_set_real) (tptp.set_or5984915006950818249n_real K2)) (tptp.insert_real K2 tptp.bot_bot_set_real))))
% 16.06/16.30 (assume a8361 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.powr_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 16.06/16.30 (assume a8362 (forall ((A tptp.fun_nat_complex) (X3 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_hy A)) X3)) (= (tptp.aa_nat_complex A tptp.zero_zero_nat) X3))))
% 16.06/16.30 (assume a8363 (forall ((A tptp.fun_nat_real) (X3 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_hz A)) X3)) (= (tptp.aa_nat_real A tptp.zero_zero_nat) X3))))
% 16.06/16.30 (assume a8364 (forall ((X3 tptp.real) (N tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real (tptp.powr_real X3) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 16.06/16.30 (assume a8365 (forall ((X3 tptp.real)) (= (tptp.aa_real_real (tptp.powr_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.abs_abs_real X3))))
% 16.06/16.30 (assume a8366 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real) (S tptp.real) (T tptp.real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real G N2)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real S) T)))))))
% 16.06/16.30 (assume a8367 (forall ((F tptp.fun_nat_nat) (G tptp.fun_nat_nat) (S tptp.nat) (T tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N2)) (tptp.aa_nat_nat G N2)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat F) S)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat G) T)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat S) T)))))))
% 16.06/16.30 (assume a8368 (forall ((F tptp.fun_nat_int) (G tptp.fun_nat_int) (S tptp.int) (T tptp.int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N2)) (tptp.aa_nat_int G N2)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.sums_int F) S)) (=> (tptp.pp (tptp.aa_int_bool (tptp.sums_int G) T)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int S) T)))))))
% 16.06/16.30 (assume a8369 (forall ((Q tptp.fun_real_nat) (P tptp.fun_real_nat) (N tptp.real)) (=> (forall ((X5 tptp.real)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat Q X5)) (tptp.aa_real_nat P X5)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups1935376822645274424al_nat P (tptp.set_or5984915006950818249n_real N))) (tptp.groups1935376822645274424al_nat Q (tptp.set_or5984915006950818249n_real N))) (tptp.groups1935376822645274424al_nat (tptp.aa_fun211602392931233840al_nat (tptp.aTP_Lamm_mv Q) P) (tptp.set_or5984915006950818249n_real N))))))
% 16.06/16.30 (assume a8370 (forall ((Q tptp.fun_nat_nat) (P tptp.fun_nat_nat) (N tptp.nat)) (=> (forall ((X5 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat Q X5)) (tptp.aa_nat_nat P X5)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat P) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat Q) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_mw Q) P)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8371 (forall ((X3 tptp.int)) (not (= (tptp.set_ord_lessThan_int X3) tptp.bot_bot_set_int))))
% 16.06/16.30 (assume a8372 (forall ((X3 tptp.real)) (not (= (tptp.set_or5984915006950818249n_real X3) tptp.bot_bot_set_real))))
% 16.06/16.30 (assume a8373 (forall ((F tptp.fun_nat_real) (A tptp.real) (G tptp.fun_nat_real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) B)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ii F) G)) (tptp.aa_real_real (tptp.plus_plus_real A) B)))))))
% 16.06/16.30 (assume a8374 (forall ((F tptp.fun_nat_nat) (A tptp.nat) (G tptp.fun_nat_nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat F) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat G) B)) (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_ij F) G)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)))))))
% 16.06/16.30 (assume a8375 (forall ((F tptp.fun_nat_int) (A tptp.int) (G tptp.fun_nat_int) (B tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.sums_int F) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.sums_int G) B)) (tptp.pp (tptp.aa_int_bool (tptp.sums_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_ik F) G)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)))))))
% 16.06/16.30 (assume a8376 (forall ((F tptp.fun_nat_real) (N tptp.nat) (S tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ib F) N)) S)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) (tptp.aa_real_real (tptp.plus_plus_real S) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))))
% 16.06/16.30 (assume a8377 (forall ((F tptp.fun_nat_real) (S tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ib F) N)) (tptp.aa_real_real (tptp.minus_minus_real S) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))))
% 16.06/16.30 (assume a8378 (forall ((F tptp.fun_nat_real) (N tptp.nat) (S tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ib F) N)) (tptp.aa_real_real (tptp.minus_minus_real S) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S)))))
% 16.06/16.30 (assume a8379 (forall ((N tptp.bool)) (= (= (tptp.set_or4454636193642143162n_bool N) tptp.bot_bot_set_bool) (= (tptp.pp N) tptp.bot_bot_bool))))
% 16.06/16.30 (assume a8380 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N) tptp.bot_bot_set_nat) (= N tptp.bot_bot_nat))))
% 16.06/16.30 (assume a8381 (forall ((K2 tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc K2)) (tptp.insert_nat K2 (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K2)))))
% 16.06/16.30 (assume a8382 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N) tptp.bot_bot_set_nat) (= N tptp.zero_zero_nat))))
% 16.06/16.30 (assume a8383 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_nat) (F tptp.fun_complex_nat)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_complex_nat G X5)) (tptp.aa_complex_nat F X5))))) (= (tptp.groups5693394587270226106ex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aTP_Lamm_mx G) F) A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups5693394587270226106ex_nat F A4)) (tptp.groups5693394587270226106ex_nat G A4))))))
% 16.06/16.30 (assume a8384 (forall ((A4 tptp.set_real) (G tptp.fun_real_nat) (F tptp.fun_real_nat)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_real_nat G X5)) (tptp.aa_real_nat F X5))))) (= (tptp.groups1935376822645274424al_nat (tptp.aa_fun211602392931233840al_nat (tptp.aTP_Lamm_mv G) F) A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups1935376822645274424al_nat F A4)) (tptp.groups1935376822645274424al_nat G A4))))))
% 16.06/16.30 (assume a8385 (forall ((A4 tptp.set_bool) (G tptp.fun_bool_nat) (F tptp.fun_bool_nat)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_bool_nat G X5)) (tptp.aa_bool_nat F X5))))) (= (tptp.groups5768501273728744877ol_nat (tptp.aa_fun9101744387563128124ol_nat (tptp.aTP_Lamm_my G) F) A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups5768501273728744877ol_nat F A4)) (tptp.groups5768501273728744877ol_nat G A4))))))
% 16.06/16.30 (assume a8386 (forall ((A4 tptp.set_int) (G tptp.fun_int_nat) (F tptp.fun_int_nat)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat G X5)) (tptp.aa_int_nat F X5))))) (= (tptp.groups4541462559716669496nt_nat (tptp.aa_fun6506752150744536624nt_nat (tptp.aTP_Lamm_mz G) F) A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups4541462559716669496nt_nat F A4)) (tptp.groups4541462559716669496nt_nat G A4))))))
% 16.06/16.30 (assume a8387 (forall ((A4 tptp.set_nat) (G tptp.fun_nat_nat) (F tptp.fun_nat_nat)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat G X5)) (tptp.aa_nat_nat F X5))))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_mw G) F)) A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) A4))))))
% 16.06/16.30 (assume a8388 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (= (tptp.groups5693394587270226106ex_nat F A4) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (exists ((X4 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A4)) (= (tptp.aa_complex_nat F X4) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (forall ((Xa3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Xa3) A4)) (=> (not (= X4 Xa3)) (= (tptp.aa_complex_nat F Xa3) tptp.zero_zero_nat))))))))))
% 16.06/16.30 (assume a8389 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr2602117396471556196at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (= (= (tptp.groups977919841031483927at_nat F A4) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (exists ((X4 tptp.product_prod_nat_nat)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) A4)) (= (tptp.aa_Pro4243173770044397973at_nat F X4) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (forall ((Xa3 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Xa3) A4)) (=> (not (= X4 Xa3)) (= (tptp.aa_Pro4243173770044397973at_nat F Xa3) tptp.zero_zero_nat))))))))))
% 16.06/16.30 (assume a8390 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A4)) (= (tptp.aa_nat_nat F X4) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (forall ((Xa3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Xa3) A4)) (=> (not (= X4 Xa3)) (= (tptp.aa_nat_nat F Xa3) tptp.zero_zero_nat))))))))))
% 16.06/16.30 (assume a8391 (forall ((F tptp.fun_nat_nat) (A4 tptp.set_nat) (N tptp.nat)) (=> (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4) (tptp.aa_nat_nat tptp.suc N)) (exists ((X5 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F X5))))))))
% 16.06/16.30 (assume a8392 (forall ((F tptp.fun_nat_real) (S tptp.real)) (=> (= (tptp.aa_nat_real F tptp.zero_zero_nat) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_il F)) S)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S))))))
% 16.06/16.30 (assume a8393 (forall ((F tptp.fun_nat_real) (S tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_il F)) S)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) (tptp.aa_real_real (tptp.plus_plus_real S) (tptp.aa_nat_real F tptp.zero_zero_nat)))))))
% 16.06/16.30 (assume a8394 (forall ((F tptp.fun_nat_real) (L tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_il F)) L)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) (tptp.aa_real_real (tptp.plus_plus_real L) (tptp.aa_nat_real F tptp.zero_zero_nat)))))))
% 16.06/16.30 (assume a8395 (forall ((F tptp.fun_nat_nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat (tptp.aTP_Lamm_is F)) L)) (tptp.pp (tptp.aa_nat_bool (tptp.sums_nat F) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat L) (tptp.aa_nat_nat F tptp.zero_zero_nat)))))))
% 16.06/16.30 (assume a8396 (forall ((F tptp.fun_nat_int) (L tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.sums_int (tptp.aTP_Lamm_jr F)) L)) (tptp.pp (tptp.aa_int_bool (tptp.sums_int F) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int L) (tptp.aa_nat_int F tptp.zero_zero_nat)))))))
% 16.06/16.30 (assume a8397 (forall ((N tptp.nat) (F tptp.fun_nat_real) (S tptp.real)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) N)) (= (tptp.aa_nat_real F I3) tptp.zero_zero_real))) (= (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_na N) F)) S)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) S))))))
% 16.06/16.30 (assume a8398 (forall ((L tptp.bool) (U tptp.bool)) (= (tptp.inf_inf_set_bool (tptp.set_or4454636193642143162n_bool L) (tptp.set_or1454250544011482060t_bool L U)) tptp.bot_bot_set_bool)))
% 16.06/16.30 (assume a8399 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat L)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U)) tptp.bot_bot_set_nat)))
% 16.06/16.30 (assume a8400 (forall ((L tptp.int) (U tptp.int)) (= (tptp.inf_inf_set_int (tptp.set_ord_lessThan_int L) (tptp.set_or1266510415728281911st_int L U)) tptp.bot_bot_set_int)))
% 16.06/16.30 (assume a8401 (forall ((L tptp.real) (U tptp.real)) (= (tptp.inf_inf_set_real (tptp.set_or5984915006950818249n_real L) (tptp.set_or1222579329274155063t_real L U)) tptp.bot_bot_set_real)))
% 16.06/16.30 (assume a8402 (forall ((X3 tptp.real) (A tptp.real) (B tptp.real)) (= (tptp.aa_real_real (tptp.powr_real X3) (tptp.aa_real_real (tptp.plus_plus_real A) B)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.powr_real X3) A)) (tptp.aa_real_real (tptp.powr_real X3) B)))))
% 16.06/16.30 (assume a8403 (forall ((K2 tptp.num)) (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.insert_nat (tptp.aa_num_nat tptp.pred_numeral K2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_num_nat tptp.pred_numeral K2))))))
% 16.06/16.30 (assume a8404 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_nb G) N)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a8405 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_nc G) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a8406 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) N)) (= (tptp.groups7754918857620584856omplex tptp.aTP_Lamm_nd (tptp.collect_complex (tptp.aTP_Lamm_ev N))) tptp.zero_zero_complex))))
% 16.06/16.30 (assume a8407 (forall ((N tptp.nat) (C tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) N)) (= (tptp.groups7754918857620584856omplex tptp.aTP_Lamm_nd (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_ew N) C))) tptp.zero_zero_complex))))
% 16.06/16.30 (assume a8408 (forall ((M2 tptp.nat) (Z tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_ne M2) Z)) (tptp.aa_nat_complex (tptp.power_power_complex Z) M2)))))
% 16.06/16.30 (assume a8409 (forall ((M2 tptp.nat) (Z tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_nf M2) Z)) (tptp.aa_nat_real (tptp.power_power_real Z) M2)))))
% 16.06/16.30 (assume a8410 (forall ((M2 tptp.nat) (Z tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.sums_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_ng M2) Z)) (tptp.aa_nat_int (tptp.power_power_int Z) M2)))))
% 16.06/16.30 (assume a8411 (forall ((A tptp.fun_nat_complex)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aTP_Lamm_hy A)) (tptp.aa_nat_complex A tptp.zero_zero_nat)))))
% 16.06/16.30 (assume a8412 (forall ((A tptp.fun_nat_real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_hz A)) (tptp.aa_nat_real A tptp.zero_zero_nat)))))
% 16.06/16.30 (assume a8413 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (= (tptp.groups5693394587270226106ex_nat F (tptp.minus_811609699411566653omplex A4 B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups5693394587270226106ex_nat F A4)) (tptp.groups5693394587270226106ex_nat F B4)))))))
% 16.06/16.30 (assume a8414 (forall ((B4 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr2602117396471556196at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat B4) A4)) (= (tptp.groups977919841031483927at_nat F (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups977919841031483927at_nat F A4)) (tptp.groups977919841031483927at_nat F B4)))))))
% 16.06/16.30 (assume a8415 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) B4)))))))
% 16.06/16.30 (assume a8416 (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F tptp.fun_Pr1253225528153422666at_nat)) (and (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) A4)) (= (tptp.groups3860910324918113789at_nat F (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups3860910324918113789at_nat F A4)) (tptp.aa_Pro6313114768868464763at_nat F A)))) (=> (not (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat A) A4))) (= (tptp.groups3860910324918113789at_nat F (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.minus_3314409938677909166at_nat A4) (tptp.insert9069300056098147895at_nat A tptp.bot_bo228742789529271731at_nat))) (tptp.groups3860910324918113789at_nat F A4))))))
% 16.06/16.30 (assume a8417 (forall ((A tptp.complex) (A4 tptp.set_complex) (F tptp.fun_complex_nat)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4)) (= (tptp.groups5693394587270226106ex_nat F (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups5693394587270226106ex_nat F A4)) (tptp.aa_complex_nat F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4))) (= (tptp.groups5693394587270226106ex_nat F (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups5693394587270226106ex_nat F A4))))))
% 16.06/16.30 (assume a8418 (forall ((A tptp.real) (A4 tptp.set_real) (F tptp.fun_real_nat)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (= (tptp.groups1935376822645274424al_nat F (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups1935376822645274424al_nat F A4)) (tptp.aa_real_nat F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4))) (= (tptp.groups1935376822645274424al_nat F (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups1935376822645274424al_nat F A4))))))
% 16.06/16.30 (assume a8419 (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr2602117396471556196at_nat)) (and (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4)) (= (tptp.groups977919841031483927at_nat F (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups977919841031483927at_nat F A4)) (tptp.aa_Pro4243173770044397973at_nat F A)))) (=> (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat A) A4))) (= (tptp.groups977919841031483927at_nat F (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) (tptp.insert8211810215607154385at_nat A tptp.bot_bo2099793752762293965at_nat))) (tptp.groups977919841031483927at_nat F A4))))))
% 16.06/16.30 (assume a8420 (forall ((A tptp.bool) (A4 tptp.set_bool) (F tptp.fun_bool_nat)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4)) (= (tptp.groups5768501273728744877ol_nat F (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups5768501273728744877ol_nat F A4)) (tptp.aa_bool_nat F A)))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4))) (= (tptp.groups5768501273728744877ol_nat F (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool))) (tptp.groups5768501273728744877ol_nat F A4))))))
% 16.06/16.30 (assume a8421 (forall ((A tptp.int) (A4 tptp.set_int) (F tptp.fun_int_nat)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4)) (= (tptp.groups4541462559716669496nt_nat F (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.groups4541462559716669496nt_nat F A4)) (tptp.aa_int_nat F A)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4))) (= (tptp.groups4541462559716669496nt_nat F (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.groups4541462559716669496nt_nat F A4))))))
% 16.06/16.30 (assume a8422 (forall ((A tptp.nat) (A4 tptp.set_nat) (F tptp.fun_nat_nat)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4)) (tptp.aa_nat_nat F A)))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4))) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4))))))
% 16.06/16.30 (assume a8423 (forall ((X3 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real (tptp.powr_real X3) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.power_power_real X3) N)))))
% 16.06/16.30 (assume a8424 (forall ((X3 tptp.bool) (K2 tptp.bool)) (and (=> (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_bool X3) K2)) (= (tptp.inf_inf_set_bool (tptp.set_or4454636193642143162n_bool K2) (tptp.insert_bool X3 tptp.bot_bot_set_bool)) (tptp.insert_bool X3 tptp.bot_bot_set_bool))) (=> (not (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_bool X3) K2))) (= (tptp.inf_inf_set_bool (tptp.set_or4454636193642143162n_bool K2) (tptp.insert_bool X3 tptp.bot_bot_set_bool)) tptp.bot_bot_set_bool)))))
% 16.06/16.30 (assume a8425 (forall ((X3 tptp.rat) (K2 tptp.rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) K2)) (= (tptp.inf_inf_set_rat (tptp.set_ord_lessThan_rat K2) (tptp.insert_rat X3 tptp.bot_bot_set_rat)) (tptp.insert_rat X3 tptp.bot_bot_set_rat))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) K2))) (= (tptp.inf_inf_set_rat (tptp.set_ord_lessThan_rat K2) (tptp.insert_rat X3 tptp.bot_bot_set_rat)) tptp.bot_bot_set_rat)))))
% 16.06/16.30 (assume a8426 (forall ((X3 tptp.num) (K2 tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) K2)) (= (tptp.inf_inf_set_num (tptp.set_ord_lessThan_num K2) (tptp.insert_num X3 tptp.bot_bot_set_num)) (tptp.insert_num X3 tptp.bot_bot_set_num))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) K2))) (= (tptp.inf_inf_set_num (tptp.set_ord_lessThan_num K2) (tptp.insert_num X3 tptp.bot_bot_set_num)) tptp.bot_bot_set_num)))))
% 16.06/16.30 (assume a8427 (forall ((X3 tptp.int) (K2 tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) K2)) (= (tptp.inf_inf_set_int (tptp.set_ord_lessThan_int K2) (tptp.insert_int X3 tptp.bot_bot_set_int)) (tptp.insert_int X3 tptp.bot_bot_set_int))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) K2))) (= (tptp.inf_inf_set_int (tptp.set_ord_lessThan_int K2) (tptp.insert_int X3 tptp.bot_bot_set_int)) tptp.bot_bot_set_int)))))
% 16.06/16.30 (assume a8428 (forall ((X3 tptp.nat) (K2 tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) K2)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K2)) (tptp.insert_nat X3 tptp.bot_bot_set_nat)) (tptp.insert_nat X3 tptp.bot_bot_set_nat))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) K2))) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K2)) (tptp.insert_nat X3 tptp.bot_bot_set_nat)) tptp.bot_bot_set_nat)))))
% 16.06/16.30 (assume a8429 (forall ((X3 tptp.real) (K2 tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) K2)) (= (tptp.inf_inf_set_real (tptp.set_or5984915006950818249n_real K2) (tptp.insert_real X3 tptp.bot_bot_set_real)) (tptp.insert_real X3 tptp.bot_bot_set_real))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) K2))) (= (tptp.inf_inf_set_real (tptp.set_or5984915006950818249n_real K2) (tptp.insert_real X3 tptp.bot_bot_set_real)) tptp.bot_bot_set_real)))))
% 16.06/16.30 (assume a8430 (forall ((G tptp.fun_nat_real) (S3 tptp.real) (A4 tptp.set_nat) (S5 tptp.real) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) S3)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (= S5 (tptp.aa_real_real (tptp.plus_plus_real S3) (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_nh G) F) A4))) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_set1316517696749040435t_real (tptp.aTP_Lamm_ni G) A4) F)) S5)))))))
% 16.06/16.30 (assume a8431 (forall ((F tptp.fun_nat_int) (X3 tptp.int)) (=> (tptp.summable_int F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N2))) X3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.suminf_int F)) X3))))))
% 16.06/16.30 (assume a8432 (forall ((F tptp.fun_nat_nat) (X3 tptp.nat)) (=> (tptp.summable_nat F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N2))) X3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.suminf_nat F)) X3))))))
% 16.06/16.30 (assume a8433 (forall ((F tptp.fun_nat_real) (X3 tptp.real)) (=> (tptp.summable_real F) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N2))) X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.suminf_real F)) X3))))))
% 16.06/16.30 (assume a8434 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat G tptp.zero_zero_nat)) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_jq G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8435 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int G tptp.zero_zero_nat)) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_jr G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8436 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat G tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_is G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8437 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real G tptp.zero_zero_nat)) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_il G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8438 (forall ((F tptp.fun_nat_rat) (M2 tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_nj F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat F tptp.zero_zero_nat)) (tptp.aa_nat_rat F M2)))))
% 16.06/16.30 (assume a8439 (forall ((F tptp.fun_nat_int) (M2 tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_nk F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F tptp.zero_zero_nat)) (tptp.aa_nat_int F M2)))))
% 16.06/16.30 (assume a8440 (forall ((F tptp.fun_nat_real) (M2 tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_nl F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real F tptp.zero_zero_nat)) (tptp.aa_nat_real F M2)))))
% 16.06/16.30 (assume a8441 (forall ((F tptp.fun_nat_rat) (M2 tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_js F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat F M2)) (tptp.aa_nat_rat F tptp.zero_zero_nat)))))
% 16.06/16.30 (assume a8442 (forall ((F tptp.fun_nat_int) (M2 tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_jt F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F M2)) (tptp.aa_nat_int F tptp.zero_zero_nat)))))
% 16.06/16.30 (assume a8443 (forall ((F tptp.fun_nat_real) (M2 tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ju F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real F M2)) (tptp.aa_nat_real F tptp.zero_zero_nat)))))
% 16.06/16.30 (assume a8444 (forall ((F tptp.fun_nat_int) (X3 tptp.int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int F N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N2))) X3))) (tptp.summable_int F)))))
% 16.06/16.30 (assume a8445 (forall ((F tptp.fun_nat_nat) (X3 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N2))) X3))) (tptp.summable_nat F)))))
% 16.06/16.30 (assume a8446 (forall ((F tptp.fun_nat_real) (X3 tptp.real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N2))) X3))) (tptp.summable_real F)))))
% 16.06/16.30 (assume a8447 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_is G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a8448 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_il G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a8449 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (= (tptp.groups5693394587270226106ex_nat F (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups5693394587270226106ex_nat F A4)) (tptp.groups5693394587270226106ex_nat F B4))) (tptp.groups5693394587270226106ex_nat F (tptp.inf_inf_set_complex A4 B4))))))))
% 16.06/16.30 (assume a8450 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr2602117396471556196at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B4)) (= (tptp.groups977919841031483927at_nat F (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.sup_su6327502436637775413at_nat A4) B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups977919841031483927at_nat F A4)) (tptp.groups977919841031483927at_nat F B4))) (tptp.groups977919841031483927at_nat F (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat A4) B4))))))))
% 16.06/16.30 (assume a8451 (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat) (F tptp.fun_Pr1253225528153422666at_nat)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat A4)) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool tptp.finite4343798906461161616at_nat B4)) (= (tptp.groups3860910324918113789at_nat F (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat A4) B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups3860910324918113789at_nat F A4)) (tptp.groups3860910324918113789at_nat F B4))) (tptp.groups3860910324918113789at_nat F (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.inf_in7913087082777306421at_nat A4) B4))))))))
% 16.06/16.30 (assume a8452 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) B4))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4))))))))
% 16.06/16.30 (assume a8453 (forall ((X3 tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X3) tptp.one_one_complex)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8454 (forall ((X3 tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) N)) tptp.one_one_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) tptp.one_one_rat)) (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8455 (forall ((X3 tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int X3) N)) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) tptp.one_one_int)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8456 (forall ((X3 tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X3) N)) tptp.one_one_real) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real X3) tptp.one_one_real)) (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8457 (forall ((X3 tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X3)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8458 (forall ((X3 tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat X3) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) X3)) (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8459 (forall ((X3 tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int X3) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) X3)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8460 (forall ((X3 tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) X3)) (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8461 (forall ((X3 tptp.complex) (N tptp.nat)) (=> (not (= X3 tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) tptp.one_one_complex)) (tptp.aa_complex_complex (tptp.minus_minus_complex X3) tptp.one_one_complex))))))
% 16.06/16.30 (assume a8462 (forall ((X3 tptp.rat) (N tptp.nat)) (=> (not (= X3 tptp.one_one_rat)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) N)) tptp.one_one_rat)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) tptp.one_one_rat))))))
% 16.06/16.30 (assume a8463 (forall ((X3 tptp.real) (N tptp.nat)) (=> (not (= X3 tptp.one_one_real)) (= (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X3) N)) tptp.one_one_real)) (tptp.aa_real_real (tptp.minus_minus_real X3) tptp.one_one_real))))))
% 16.06/16.30 (assume a8464 (forall ((F tptp.fun_nat_real) (K2 tptp.nat)) (=> (tptp.summable_real F) (= (tptp.suminf_real F) (tptp.aa_real_real (tptp.plus_plus_real (tptp.suminf_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ib F) K2))) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K2)))))))
% 16.06/16.30 (assume a8465 (forall ((F tptp.fun_nat_real) (K2 tptp.nat)) (=> (tptp.summable_real F) (= (tptp.suminf_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ib F) K2)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.suminf_real F)) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K2)))))))
% 16.06/16.30 (assume a8466 (forall ((F tptp.fun_nat_int) (N tptp.nat)) (=> (tptp.summable_int F) (=> (forall ((M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int F M))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_int F)))))))
% 16.06/16.30 (assume a8467 (forall ((F tptp.fun_nat_nat) (N tptp.nat)) (=> (tptp.summable_nat F) (=> (forall ((M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F M))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_nat F)))))))
% 16.06/16.30 (assume a8468 (forall ((F tptp.fun_nat_real) (N tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F M))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_real F)))))))
% 16.06/16.30 (assume a8469 (forall ((X3 tptp.complex) (N tptp.nat)) (and (=> (= X3 tptp.one_one_complex) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) (=> (not (= X3 tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X3) N))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X3)))))))
% 16.06/16.30 (assume a8470 (forall ((X3 tptp.rat) (N tptp.nat)) (and (=> (= X3 tptp.one_one_rat) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (=> (not (= X3 tptp.one_one_rat)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat X3) N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) X3)))))))
% 16.06/16.30 (assume a8471 (forall ((X3 tptp.real) (N tptp.nat)) (and (=> (= X3 tptp.one_one_real) (= (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (=> (not (= X3 tptp.one_one_real)) (= (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) N))) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) X3)))))))
% 16.06/16.30 (assume a8472 (forall ((Z tptp.complex) (H tptp.complex) (M2 tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_nm Z) H) M2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_nn Z) H) M2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)))))
% 16.06/16.30 (assume a8473 (forall ((Z tptp.rat) (H tptp.rat) (M2 tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_no Z) H) M2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_np Z) H) M2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)))))
% 16.06/16.30 (assume a8474 (forall ((Z tptp.int) (H tptp.int) (M2 tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_nq Z) H) M2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)) (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_nr Z) H) M2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)))))
% 16.06/16.30 (assume a8475 (forall ((Z tptp.real) (H tptp.real) (M2 tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_ns Z) H) M2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_nt Z) H) M2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat M2)))))
% 16.06/16.30 (assume a8476 (forall ((X3 tptp.complex) (N tptp.nat) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X3) Y)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_nu X3) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8477 (forall ((X3 tptp.rat) (N tptp.nat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) N)) (tptp.aa_nat_rat (tptp.power_power_rat Y) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) Y)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_nat298952458717073160at_rat (tptp.aTP_Lamm_nv X3) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8478 (forall ((X3 tptp.int) (N tptp.nat) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int X3) N)) (tptp.aa_nat_int (tptp.power_power_int Y) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) Y)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_nat6704147566042551216at_int (tptp.aTP_Lamm_nw X3) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8479 (forall ((X3 tptp.real) (N tptp.nat) (Y tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X3) N)) (tptp.aa_nat_real (tptp.power_power_real Y) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real X3) Y)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_nx X3) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8480 (forall ((X3 tptp.complex) (N tptp.nat) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_complex (tptp.power_power_complex Y) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X3) Y)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_ny X3) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)))))))
% 16.06/16.30 (assume a8481 (forall ((X3 tptp.rat) (N tptp.nat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) Y)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_nat298952458717073160at_rat (tptp.aTP_Lamm_nz X3) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)))))))
% 16.06/16.30 (assume a8482 (forall ((X3 tptp.int) (N tptp.nat) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) Y)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_nat6704147566042551216at_int (tptp.aTP_Lamm_oa X3) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)))))))
% 16.06/16.30 (assume a8483 (forall ((X3 tptp.real) (N tptp.nat) (Y tptp.real)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real X3) Y)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_ob X3) N) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)))))))
% 16.06/16.30 (assume a8484 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real C)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.power_power_real C)) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) C)))))))
% 16.06/16.30 (assume a8485 (forall ((C tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex C)) tptp.one_one_real)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.power_power_complex C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) C)))))))
% 16.06/16.30 (assume a8486 (tptp.pp (tptp.aa_real_bool (tptp.sums_real tptp.aTP_Lamm_oc) tptp.one_one_real)))
% 16.06/16.30 (assume a8487 (forall ((N tptp.nat) (F tptp.fun_nat_rat) (K5 tptp.rat) (K2 tptp.nat)) (=> (forall ((P3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat P3) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F P3)) K5)))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) K5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2906978787729119204at_rat F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) K5)))))))
% 16.06/16.30 (assume a8488 (forall ((N tptp.nat) (F tptp.fun_nat_int) (K5 tptp.int) (K2 tptp.nat)) (=> (forall ((P3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat P3) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F P3)) K5)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K5)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) K5)))))))
% 16.06/16.30 (assume a8489 (forall ((N tptp.nat) (F tptp.fun_nat_nat) (K5 tptp.nat) (K2 tptp.nat)) (=> (forall ((P3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat P3) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F P3)) K5)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) K5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) K5)))))))
% 16.06/16.30 (assume a8490 (forall ((N tptp.nat) (F tptp.fun_nat_real) (K5 tptp.real) (K2 tptp.nat)) (=> (forall ((P3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat P3) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F P3)) K5)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) K5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) K5)))))))
% 16.06/16.30 (assume a8491 (forall ((F tptp.fun_nat_int) (N tptp.nat) (I tptp.nat)) (=> (tptp.summable_int F) (=> (forall ((M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int F M))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) I)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int F I))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_int F)))))))))
% 16.06/16.30 (assume a8492 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (I tptp.nat)) (=> (tptp.summable_nat F) (=> (forall ((M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F M))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) I)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F I))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_nat F)))))))))
% 16.06/16.30 (assume a8493 (forall ((F tptp.fun_nat_real) (N tptp.nat) (I tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F M))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) I)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real F I))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.suminf_real F)))))))))
% 16.06/16.30 (assume a8494 (forall ((X3 tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X3)) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_od X3) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8495 (forall ((X3 tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat X3) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) X3)) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_oe X3) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8496 (forall ((X3 tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int X3) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) X3)) (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_of X3) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8497 (forall ((X3 tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) X3)) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_og X3) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8498 (forall ((G tptp.fun_nat_real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) X3)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_oh G)) X3)))))
% 16.06/16.30 (assume a8499 (forall ((G tptp.fun_nat_real) (X3 tptp.real) (F tptp.fun_nat_real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) Y)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_oi G) F)) (tptp.aa_real_real (tptp.plus_plus_real X3) Y)))))))
% 16.06/16.30 (assume a8500 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real (tptp.powr_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.sqrt X3)))))
% 16.06/16.30 (assume a8501 (forall ((X3 tptp.real) (N tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real (tptp.powr_real X3) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))))
% 16.06/16.30 (assume a8502 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_oj F) G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ok F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ol G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a8503 (forall ((M2 tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int M2) N)) (= (tptp.groups4538972089207619220nt_int tptp.aTP_Lamm_om (tptp.set_or1266510415728281911st_int M2 N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int N) tptp.one_one_int))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int M2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int M2) tptp.one_one_int)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.30 (assume a8504 (forall ((F tptp.fun_nat_real) (K2 tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((D4 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) D4)))) (tptp.aa_nat_real F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) D4)) tptp.one_one_nat))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K2))) (tptp.suminf_real F)))))))
% 16.06/16.30 (assume a8505 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 N2)) (tptp.aa_nat_real X6 (tptp.aa_nat_nat tptp.suc N2))))) (tptp.topolo6980174941875973593q_real X6))))
% 16.06/16.30 (assume a8506 (forall ((X6 tptp.fun_nat_set_nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 N2)) (tptp.aa_nat_set_nat X6 (tptp.aa_nat_nat tptp.suc N2))))) (tptp.topolo7278393974255667507et_nat X6))))
% 16.06/16.30 (assume a8507 (forall ((X6 tptp.fun_nat_rat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 N2)) (tptp.aa_nat_rat X6 (tptp.aa_nat_nat tptp.suc N2))))) (tptp.topolo4267028734544971653eq_rat X6))))
% 16.06/16.30 (assume a8508 (forall ((X6 tptp.fun_nat_num)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 N2)) (tptp.aa_nat_num X6 (tptp.aa_nat_nat tptp.suc N2))))) (tptp.topolo1459490580787246023eq_num X6))))
% 16.06/16.30 (assume a8509 (forall ((X6 tptp.fun_nat_nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 N2)) (tptp.aa_nat_nat X6 (tptp.aa_nat_nat tptp.suc N2))))) (tptp.topolo4902158794631467389eq_nat X6))))
% 16.06/16.30 (assume a8510 (forall ((X6 tptp.fun_nat_int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 N2)) (tptp.aa_nat_int X6 (tptp.aa_nat_nat tptp.suc N2))))) (tptp.topolo4899668324122417113eq_int X6))))
% 16.06/16.30 (assume a8511 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_real X6 N2)))) (tptp.topolo6980174941875973593q_real X6))))
% 16.06/16.30 (assume a8512 (forall ((X6 tptp.fun_nat_set_nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_set_nat X6 N2)))) (tptp.topolo7278393974255667507et_nat X6))))
% 16.06/16.30 (assume a8513 (forall ((X6 tptp.fun_nat_rat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_rat X6 N2)))) (tptp.topolo4267028734544971653eq_rat X6))))
% 16.06/16.30 (assume a8514 (forall ((X6 tptp.fun_nat_num)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_num X6 N2)))) (tptp.topolo1459490580787246023eq_num X6))))
% 16.06/16.30 (assume a8515 (forall ((X6 tptp.fun_nat_nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_nat X6 N2)))) (tptp.topolo4902158794631467389eq_nat X6))))
% 16.06/16.30 (assume a8516 (forall ((X6 tptp.fun_nat_int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_int X6 N2)))) (tptp.topolo4899668324122417113eq_int X6))))
% 16.06/16.30 (assume a8517 (forall ((X6 tptp.fun_nat_real)) (= (tptp.topolo6980174941875973593q_real X6) (or (forall ((N4 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 N4)) (tptp.aa_nat_real X6 (tptp.aa_nat_nat tptp.suc N4))))) (forall ((N4 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 (tptp.aa_nat_nat tptp.suc N4))) (tptp.aa_nat_real X6 N4))))))))
% 16.06/16.30 (assume a8518 (forall ((X6 tptp.fun_nat_set_nat)) (= (tptp.topolo7278393974255667507et_nat X6) (or (forall ((N4 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 N4)) (tptp.aa_nat_set_nat X6 (tptp.aa_nat_nat tptp.suc N4))))) (forall ((N4 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 (tptp.aa_nat_nat tptp.suc N4))) (tptp.aa_nat_set_nat X6 N4))))))))
% 16.06/16.30 (assume a8519 (forall ((X6 tptp.fun_nat_rat)) (= (tptp.topolo4267028734544971653eq_rat X6) (or (forall ((N4 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 N4)) (tptp.aa_nat_rat X6 (tptp.aa_nat_nat tptp.suc N4))))) (forall ((N4 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 (tptp.aa_nat_nat tptp.suc N4))) (tptp.aa_nat_rat X6 N4))))))))
% 16.06/16.30 (assume a8520 (forall ((X6 tptp.fun_nat_num)) (= (tptp.topolo1459490580787246023eq_num X6) (or (forall ((N4 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 N4)) (tptp.aa_nat_num X6 (tptp.aa_nat_nat tptp.suc N4))))) (forall ((N4 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 (tptp.aa_nat_nat tptp.suc N4))) (tptp.aa_nat_num X6 N4))))))))
% 16.06/16.30 (assume a8521 (forall ((X6 tptp.fun_nat_nat)) (= (tptp.topolo4902158794631467389eq_nat X6) (or (forall ((N4 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 N4)) (tptp.aa_nat_nat X6 (tptp.aa_nat_nat tptp.suc N4))))) (forall ((N4 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 (tptp.aa_nat_nat tptp.suc N4))) (tptp.aa_nat_nat X6 N4))))))))
% 16.06/16.30 (assume a8522 (forall ((X6 tptp.fun_nat_int)) (= (tptp.topolo4899668324122417113eq_int X6) (or (forall ((N4 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 N4)) (tptp.aa_nat_int X6 (tptp.aa_nat_nat tptp.suc N4))))) (forall ((N4 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 (tptp.aa_nat_nat tptp.suc N4))) (tptp.aa_nat_int X6 N4))))))))
% 16.06/16.30 (assume a8523 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 M)) (tptp.aa_nat_real X6 N2))))) (tptp.topolo6980174941875973593q_real X6))))
% 16.06/16.30 (assume a8524 (forall ((X6 tptp.fun_nat_set_nat)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat X6 M)) (tptp.aa_nat_set_nat X6 N2))))) (tptp.topolo7278393974255667507et_nat X6))))
% 16.06/16.30 (assume a8525 (forall ((X6 tptp.fun_nat_rat)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 M)) (tptp.aa_nat_rat X6 N2))))) (tptp.topolo4267028734544971653eq_rat X6))))
% 16.06/16.30 (assume a8526 (forall ((X6 tptp.fun_nat_num)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num X6 M)) (tptp.aa_nat_num X6 N2))))) (tptp.topolo1459490580787246023eq_num X6))))
% 16.06/16.30 (assume a8527 (forall ((X6 tptp.fun_nat_nat)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat X6 M)) (tptp.aa_nat_nat X6 N2))))) (tptp.topolo4902158794631467389eq_nat X6))))
% 16.06/16.30 (assume a8528 (forall ((X6 tptp.fun_nat_int)) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int X6 M)) (tptp.aa_nat_int X6 N2))))) (tptp.topolo4899668324122417113eq_int X6))))
% 16.06/16.30 (assume a8529 (forall ((F tptp.fun_nat_nat) (Mm tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_is F)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Mm)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) Mm)))))
% 16.06/16.30 (assume a8530 (forall ((F tptp.fun_nat_real) (Mm tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_il F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Mm)) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) Mm)))))
% 16.06/16.30 (assume a8531 (forall ((N tptp.nat)) (= (tptp.groups6591440286371151544t_real tptp.aTP_Lamm_on (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_real)))
% 16.06/16.30 (assume a8532 (forall ((C tptp.fun_nat_complex) (X3 tptp.complex)) (=> (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_oo C) X3)) (tptp.pp (tptp.aa_complex_bool (tptp.sums_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_op C) X3)) (tptp.suminf_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_oo C) X3)))))))
% 16.06/16.30 (assume a8533 (forall ((C tptp.fun_nat_real) (X3 tptp.real)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_oq C) X3)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_or C) X3)) (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_oq C) X3)))))))
% 16.06/16.30 (assume a8534 (forall ((S3 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (exists ((K3 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K3)))))))
% 16.06/16.30 (assume a8535 (forall ((S3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (exists ((K tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K)))))))
% 16.06/16.30 (assume a8536 (forall ((C tptp.fun_nat_rat) (X tptp.nat)) (= (tptp.aa_nat_rat (tptp.diffs_rat C) X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc X))) (tptp.aa_nat_rat C (tptp.aa_nat_nat tptp.suc X))))))
% 16.06/16.30 (assume a8537 (forall ((C tptp.fun_nat_real) (X tptp.nat)) (= (tptp.aa_nat_real (tptp.diffs_real C) X) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc X))) (tptp.aa_nat_real C (tptp.aa_nat_nat tptp.suc X))))))
% 16.06/16.30 (assume a8538 (forall ((C tptp.fun_nat_int) (X tptp.nat)) (= (tptp.aa_nat_int (tptp.diffs_int C) X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc X))) (tptp.aa_nat_int C (tptp.aa_nat_nat tptp.suc X))))))
% 16.06/16.30 (assume a8539 (forall ((C tptp.fun_nat_complex) (X3 tptp.complex)) (=> (forall ((X5 tptp.complex)) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq C) X5))) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_oo C) X3)))))
% 16.06/16.30 (assume a8540 (forall ((C tptp.fun_nat_real) (X3 tptp.real)) (=> (forall ((X5 tptp.real)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io C) X5))) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_oq C) X3)))))
% 16.06/16.30 (assume a8541 (forall ((A4 tptp.set_real) (R tptp.fun_re1255401033344146673l_bool)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (forall ((X5 tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X5) X5)))) (=> (forall ((X5 tptp.real) (Y3 tptp.real) (Z2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X5) Y3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R Y3) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X5) Z2))))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (exists ((Y5 tptp.real)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Y5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool R X5) Y5)))))) (= A4 tptp.bot_bot_set_real)))))))
% 16.06/16.30 (assume a8542 (forall ((A4 tptp.set_complex) (R tptp.fun_co1378794544173401837x_bool)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (forall ((X5 tptp.complex)) (not (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X5) X5)))) (=> (forall ((X5 tptp.complex) (Y3 tptp.complex) (Z2 tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X5) Y3)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R Y3) Z2)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X5) Z2))))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (exists ((Y5 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Y5) A4)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool R X5) Y5)))))) (= A4 tptp.bot_bot_set_complex)))))))
% 16.06/16.30 (assume a8543 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.fun_Pr248683899324676269t_bool)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (=> (forall ((X5 tptp.product_prod_nat_nat)) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool R X5) X5)))) (=> (forall ((X5 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat) (Z2 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool R X5) Y3)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool R Y3) Z2)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool R X5) Z2))))) (=> (forall ((X5 tptp.product_prod_nat_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X5) A4)) (exists ((Y5 tptp.product_prod_nat_nat)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Y5) A4)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool R X5) Y5)))))) (= A4 tptp.bot_bo2099793752762293965at_nat)))))))
% 16.06/16.30 (assume a8544 (forall ((A4 tptp.set_bool) (R tptp.fun_bo1841576699660343469l_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (forall ((X5 tptp.bool)) (not (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool R X5) X5)))) (=> (forall ((X5 tptp.bool) (Y3 tptp.bool) (Z2 tptp.bool)) (=> (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool R X5) Y3)) (=> (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool R Y3) Z2)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool R X5) Z2))))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (exists ((Y5 tptp.bool)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Y5) A4)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool R X5) Y5)))))) (= A4 tptp.bot_bot_set_bool)))))))
% 16.06/16.30 (assume a8545 (forall ((A4 tptp.set_nat) (R tptp.fun_nat_fun_nat_bool)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (forall ((X5 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X5) X5)))) (=> (forall ((X5 tptp.nat) (Y3 tptp.nat) (Z2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X5) Y3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R Y3) Z2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X5) Z2))))) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (exists ((Y5 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Y5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X5) Y5)))))) (= A4 tptp.bot_bot_set_nat)))))))
% 16.06/16.30 (assume a8546 (forall ((A4 tptp.set_int) (R tptp.fun_int_fun_int_bool)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (forall ((X5 tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R X5) X5)))) (=> (forall ((X5 tptp.int) (Y3 tptp.int) (Z2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R X5) Y3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R Y3) Z2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R X5) Z2))))) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (exists ((Y5 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Y5) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool R X5) Y5)))))) (= A4 tptp.bot_bot_set_int)))))))
% 16.06/16.30 (assume a8547 (forall ((X3 tptp.real) (K5 tptp.real) (C tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3)) K5)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X5)) K5)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io C) X5)))) (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_os X3) C))))))
% 16.06/16.30 (assume a8548 (forall ((X3 tptp.complex) (K5 tptp.real) (C tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3)) K5)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X5)) K5)) (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq C) X5)))) (tptp.summable_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ot X3) C))))))
% 16.06/16.30 (assume a8549 (forall ((S3 tptp.set_nat)) (= (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3))) (forall ((M5 tptp.nat)) (exists ((N4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M5) N4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N4) S3))))))))
% 16.06/16.30 (assume a8550 (forall ((X3 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T5) X3)) (= (tptp.aa_real_real tptp.cos_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ou X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.plus_plus_real T5) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N))))))))))
% 16.06/16.30 (assume a8551 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) tptp.zero_zero_real)) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T5) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.cos_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ou X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.plus_plus_real T5) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N))))))))))
% 16.06/16.30 (assume a8552 (forall ((X3 tptp.real) (N tptp.nat)) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T5)) (tptp.aa_real_real tptp.abs_abs_real X3))) (= (tptp.aa_real_real tptp.cos_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ou X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.plus_plus_real T5) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N))))))))
% 16.06/16.30 (assume a8553 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_ov X3)) (tptp.aa_real_real tptp.sin_real X3)))))
% 16.06/16.30 (assume a8554 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.arcosh_real X3) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.powr_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.30 (assume a8555 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 16.06/16.30 (assume a8556 (forall ((W tptp.num)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.numera6690914467698888265omplex W))))
% 16.06/16.30 (assume a8557 (forall ((X3 tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_nat_real (tptp.power_power_real X3) N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X3)) N))))
% 16.06/16.30 (assume a8558 (forall ((X3 tptp.real) (N tptp.nat)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_nat_real (tptp.power_power_real X3) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X3)) N))))
% 16.06/16.30 (assume a8559 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X3)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real Y)))))
% 16.06/16.30 (assume a8560 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.plus_plus_real X3) Y)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X3)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex Y)))))
% 16.06/16.30 (assume a8561 (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_complex))
% 16.06/16.30 (assume a8562 (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_rat))
% 16.06/16.30 (assume a8563 (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_int))
% 16.06/16.30 (assume a8564 (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_real))
% 16.06/16.30 (assume a8565 (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat))
% 16.06/16.30 (assume a8566 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)))))
% 16.06/16.30 (assume a8567 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 16.06/16.30 (assume a8568 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 16.06/16.30 (assume a8569 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 16.06/16.30 (assume a8570 (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.30 (assume a8571 (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.30 (assume a8572 (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.30 (assume a8573 (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.30 (assume a8574 (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.30 (assume a8575 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.06/16.30 (assume a8576 (forall ((W tptp.num)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)))))
% 16.06/16.30 (assume a8577 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X3)) tptp.one_one_real)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.plus_plus_real X3) tptp.one_one_real)))))
% 16.06/16.30 (assume a8578 (forall ((X3 tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X3)) tptp.one_one_complex)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.plus_plus_real X3) tptp.one_one_real)))))
% 16.06/16.30 (assume a8579 (forall ((X3 tptp.real) (B tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X3)) (tptp.aa_num_real tptp.numeral_numeral_real B))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_num_real tptp.numeral_numeral_real B))))))
% 16.06/16.30 (assume a8580 (forall ((X3 tptp.real) (B tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X3)) (tptp.numera6690914467698888265omplex B))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_num_real tptp.numeral_numeral_real B))))))
% 16.06/16.30 (assume a8581 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real))
% 16.06/16.30 (assume a8582 (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_complex))
% 16.06/16.30 (assume a8583 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))
% 16.06/16.30 (assume a8584 (= (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex))
% 16.06/16.30 (assume a8585 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)))))
% 16.06/16.30 (assume a8586 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 16.06/16.30 (assume a8587 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 16.06/16.30 (assume a8588 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 16.06/16.30 (assume a8589 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)))))
% 16.06/16.30 (assume a8590 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 16.06/16.30 (assume a8591 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 16.06/16.30 (assume a8592 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 16.06/16.30 (assume a8593 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat M2)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N))))))
% 16.06/16.30 (assume a8594 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M2)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N))))))
% 16.06/16.30 (assume a8595 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real M2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))))))
% 16.06/16.30 (assume a8596 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M2)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))))
% 16.06/16.30 (assume a8597 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M2))))))
% 16.06/16.30 (assume a8598 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N)) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger M2))))))
% 16.06/16.30 (assume a8599 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real M2))))))
% 16.06/16.30 (assume a8600 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M2))))))
% 16.06/16.30 (assume a8601 (forall ((K2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger K2)) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N))) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) N))))))
% 16.06/16.30 (assume a8602 (forall ((K2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K2)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N))) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) N))))))
% 16.06/16.30 (assume a8603 (forall ((K2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int K2)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N))) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) N))))))
% 16.06/16.30 (assume a8604 (forall ((K2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) N))))))
% 16.06/16.30 (assume a8605 (forall ((K2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat K2)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) N))))))
% 16.06/16.30 (assume a8606 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M2)) tptp.zero_zero_int))))
% 16.06/16.30 (assume a8607 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.modulo364778990260209775nteger (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger M2)) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.30 (assume a8608 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M2)) tptp.zero_zero_nat))))
% 16.06/16.30 (assume a8609 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) N))))))
% 16.06/16.30 (assume a8610 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) N))))))
% 16.06/16.30 (assume a8611 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) N))))))
% 16.06/16.30 (assume a8612 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) N))))))
% 16.06/16.30 (assume a8613 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X3))) tptp.one_one_real))))))
% 16.06/16.30 (assume a8614 (forall ((X3 tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X3))) tptp.one_one_complex))))))
% 16.06/16.30 (assume a8615 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger K2)) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N))))))
% 16.06/16.30 (assume a8616 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K2)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N))))))
% 16.06/16.30 (assume a8617 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int K2)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N))))))
% 16.06/16.30 (assume a8618 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))))))
% 16.06/16.30 (assume a8619 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat K2)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))))
% 16.06/16.30 (assume a8620 (forall ((K2 tptp.num)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex K2)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_num_nat tptp.pred_numeral K2))))))
% 16.06/16.30 (assume a8621 (forall ((K2 tptp.num)) (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_num_nat tptp.pred_numeral K2))))))
% 16.06/16.30 (assume a8622 (forall ((K2 tptp.num)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int K2)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_num_nat tptp.pred_numeral K2))))))
% 16.06/16.30 (assume a8623 (forall ((K2 tptp.num)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real K2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_num_nat tptp.pred_numeral K2))))))
% 16.06/16.30 (assume a8624 (forall ((K2 tptp.num)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_num_nat tptp.pred_numeral K2))))))
% 16.06/16.30 (assume a8625 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 16.06/16.30 (assume a8626 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.cos_real X3) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)))))
% 16.06/16.30 (assume a8627 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex X3) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)))))
% 16.06/16.30 (assume a8628 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.sin_real X3) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)))))
% 16.06/16.30 (assume a8629 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex tptp.sin_complex X3) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)))))
% 16.06/16.30 (assume a8630 (forall ((X3 tptp.real) (N tptp.nat) (Diff tptp.fun_na2180513548729900188l_real)) (=> (= X3 tptp.zero_zero_real) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun4674562053777771865t_real (tptp.aTP_Lamm_ow X3) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_literal_real (tptp.aa_nat8303615512603269253l_real Diff tptp.zero_zero_nat) tptp.zero_zero_literal))))))
% 16.06/16.30 (assume a8631 (forall ((X3 tptp.real) (N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real)) (=> (= X3 tptp.zero_zero_real) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_ox X3) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) tptp.zero_zero_real))))))
% 16.06/16.30 (assume a8632 (forall ((X3 tptp.real) (N tptp.nat) (Diff tptp.fun_nat_fun_rat_real)) (=> (= X3 tptp.zero_zero_real) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun507281639146497029t_real (tptp.aTP_Lamm_oy X3) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_rat_real (tptp.aa_nat_fun_rat_real Diff tptp.zero_zero_nat) tptp.zero_zero_rat))))))
% 16.06/16.30 (assume a8633 (forall ((X3 tptp.real) (N tptp.nat) (Diff tptp.fun_nat_fun_nat_real)) (=> (= X3 tptp.zero_zero_real) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun7039663905532832253t_real (tptp.aTP_Lamm_oz X3) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real Diff tptp.zero_zero_nat) tptp.zero_zero_nat))))))
% 16.06/16.30 (assume a8634 (forall ((X3 tptp.real) (N tptp.nat) (Diff tptp.fun_nat_fun_int_real)) (=> (= X3 tptp.zero_zero_real) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun241848180832411225t_real (tptp.aTP_Lamm_pa X3) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_int_real (tptp.aa_nat_fun_int_real Diff tptp.zero_zero_nat) tptp.zero_zero_int))))))
% 16.06/16.30 (assume a8635 (forall ((H tptp.real) (F tptp.fun_real_real) (J tptp.fun_nat_real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H)) (exists ((B5 tptp.real)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_pb H) J) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real B5) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real H) N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))))))
% 16.06/16.30 (assume a8636 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a8637 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.sin_complex X3)) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X3) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a8638 (forall ((X3 tptp.real) (N tptp.nat)) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T5)) (tptp.aa_real_real tptp.abs_abs_real X3))) (= (tptp.aa_real_real tptp.exp_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_pc X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.exp_real T5)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N))))))))
% 16.06/16.30 (assume a8639 (forall ((X tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (= (tptp.aa_nat_real tptp.cos_coeff X) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real X)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X))) (= (tptp.aa_nat_real tptp.cos_coeff X) tptp.zero_zero_real)))))
% 16.06/16.30 (assume a8640 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_pd X3)) (tptp.aa_real_real tptp.cos_real X3)))))
% 16.06/16.30 (assume a8641 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.arsinh_real X3) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.powr_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 16.06/16.30 (assume a8642 (forall ((X3 tptp.real) (N tptp.nat)) (=> (not (= X3 tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.abs_abs_real T5))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real T5)) (tptp.aa_real_real tptp.abs_abs_real X3))) (= (tptp.aa_real_real tptp.exp_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_pc X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.exp_real T5)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N))))))))))
% 16.06/16.30 (assume a8643 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T5) X3)) (= (tptp.aa_real_real tptp.sin_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_pe X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.plus_plus_real T5) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N))))))))))
% 16.06/16.30 (assume a8644 (forall ((X3 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T5) X3)) (= (tptp.aa_real_real tptp.sin_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_pe X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.plus_plus_real T5) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N)))))))))
% 16.06/16.30 (assume a8645 (forall ((X3 tptp.real) (N tptp.nat)) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T5)) (tptp.aa_real_real tptp.abs_abs_real X3))) (= (tptp.aa_real_real tptp.sin_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_pe X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.plus_plus_real T5) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N))))))))
% 16.06/16.30 (assume a8646 (forall ((X3 tptp.real) (N tptp.nat)) (exists ((T5 tptp.real)) (= (tptp.aa_real_real tptp.sin_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_pe X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.plus_plus_real T5) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N)))))))
% 16.06/16.30 (assume a8647 (forall ((X tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (= (tptp.aa_nat_real tptp.sin_coeff X) tptp.zero_zero_real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X))) (= (tptp.aa_nat_real tptp.sin_coeff X) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real X)))))))
% 16.06/16.30 (assume a8648 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M2)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))))
% 16.06/16.30 (assume a8649 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 16.06/16.30 (assume a8650 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 16.06/16.30 (assume a8651 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M2) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))))
% 16.06/16.30 (assume a8652 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc M2))) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc M2)) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc M2)) N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)))))))
% 16.06/16.30 (assume a8653 (forall ((R2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat R2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) R2)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) R2))))))
% 16.06/16.30 (assume a8654 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.sin_coeff (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real tptp.cos_coeff N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a8655 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.cos_coeff (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.sin_coeff N))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a8656 (forall ((B tptp.nat) (K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (= (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.log (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N)) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))))))))
% 16.06/16.30 (assume a8657 (forall ((Z tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) N))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))) N)))))
% 16.06/16.30 (assume a8658 (forall ((Z tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) N))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) N)))))
% 16.06/16.30 (assume a8659 (forall ((Z tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Z) N))) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.plus_plus_real Z) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) N)))))
% 16.06/16.30 (assume a8660 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N) (tptp.aa_complex_complex (tptp.semiri2816024913162550771omplex tptp.aTP_Lamm_pf N) tptp.zero_zero_complex))))
% 16.06/16.30 (assume a8661 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N) (tptp.aa_rat_rat (tptp.semiri7787848453975740701ux_rat tptp.aTP_Lamm_pg N) tptp.zero_zero_rat))))
% 16.06/16.30 (assume a8662 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.semiri7260567687927622513x_real tptp.aTP_Lamm_ph) N) tptp.zero_zero_real))))
% 16.06/16.30 (assume a8663 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) (tptp.aa_int_int (tptp.semiri8420488043553186161ux_int tptp.aTP_Lamm_pi N) tptp.zero_zero_int))))
% 16.06/16.30 (assume a8664 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.semiri8422978514062236437ux_nat tptp.aTP_Lamm_pj) N) tptp.zero_zero_nat))))
% 16.06/16.30 (assume a8665 (forall ((R2 tptp.complex) (M2 tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_pk R2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) M2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc M2))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.gbinomial_complex R2) (tptp.aa_nat_nat tptp.suc M2))))))
% 16.06/16.30 (assume a8666 (forall ((R2 tptp.rat) (M2 tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_pl R2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) M2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc M2))) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.gbinomial_rat R2) (tptp.aa_nat_nat tptp.suc M2))))))
% 16.06/16.30 (assume a8667 (forall ((R2 tptp.real) (M2 tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_pm R2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) M2)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc M2))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.gbinomial_real R2) (tptp.aa_nat_nat tptp.suc M2))))))
% 16.06/16.30 (assume a8668 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) N)))))))
% 16.06/16.30 (assume a8669 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) N) (tptp.aa_nat_nat tptp.suc N))))
% 16.06/16.30 (assume a8670 (forall ((K2 tptp.nat)) (= (tptp.aa_nat_real (tptp.gbinomial_real tptp.zero_zero_real) (tptp.aa_nat_nat tptp.suc K2)) tptp.zero_zero_real)))
% 16.06/16.30 (assume a8671 (forall ((K2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat tptp.zero_zero_rat) (tptp.aa_nat_nat tptp.suc K2)) tptp.zero_zero_rat)))
% 16.06/16.30 (assume a8672 (forall ((K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gbinomial_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc K2)) tptp.zero_zero_nat)))
% 16.06/16.30 (assume a8673 (forall ((K2 tptp.nat)) (= (tptp.aa_nat_int (tptp.gbinomial_int tptp.zero_zero_int) (tptp.aa_nat_nat tptp.suc K2)) tptp.zero_zero_int)))
% 16.06/16.30 (assume a8674 (forall ((V2 tptp.num)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) (tptp.aa_num_int tptp.numeral_numeral_int V2))))
% 16.06/16.30 (assume a8675 (forall ((V2 tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) (tptp.aa_num_int tptp.numeral_numeral_int V2))))
% 16.06/16.30 (assume a8676 (forall ((K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc K2)) tptp.zero_zero_nat)))
% 16.06/16.30 (assume a8677 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)))
% 16.06/16.30 (assume a8678 (forall ((N tptp.nat) (K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc K2))))))
% 16.06/16.30 (assume a8679 (forall ((N tptp.nat) (K2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)))))
% 16.06/16.30 (assume a8680 (forall ((X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)))))
% 16.06/16.30 (assume a8681 (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)))))
% 16.06/16.30 (assume a8682 (forall ((V2 tptp.num) (X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) X3)))))
% 16.06/16.30 (assume a8683 (forall ((V2 tptp.num) (X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) X3)))))
% 16.06/16.30 (assume a8684 (forall ((X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) X3)))))
% 16.06/16.30 (assume a8685 (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X3)))))
% 16.06/16.30 (assume a8686 (forall ((X3 tptp.rat) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))))))
% 16.06/16.30 (assume a8687 (forall ((X3 tptp.real) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_num_real tptp.numeral_numeral_real V2))))))
% 16.06/16.30 (assume a8688 (forall ((X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) X3)))))
% 16.06/16.30 (assume a8689 (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X3)))))
% 16.06/16.30 (assume a8690 (forall ((V2 tptp.num)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))))
% 16.06/16.30 (assume a8691 (forall ((V2 tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))))
% 16.06/16.30 (assume a8692 (forall ((X3 tptp.rat) (V2 tptp.num)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2)))))
% 16.06/16.30 (assume a8693 (forall ((X3 tptp.real) (V2 tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.minus_minus_real X3) (tptp.aa_num_real tptp.numeral_numeral_real V2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2)))))
% 16.06/16.30 (assume a8694 (forall ((X3 tptp.num) (N tptp.nat)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X3)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))))
% 16.06/16.30 (assume a8695 (forall ((X3 tptp.num) (N tptp.nat)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X3)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))))
% 16.06/16.30 (assume a8696 (forall ((A tptp.num) (B tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real A)) (tptp.aa_num_real tptp.numeral_numeral_real B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int A)) (tptp.aa_num_int tptp.numeral_numeral_int B)))))
% 16.06/16.30 (assume a8697 (forall ((V2 tptp.num) (X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) tptp.one_one_rat)) X3)))))
% 16.06/16.30 (assume a8698 (forall ((V2 tptp.num) (X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) tptp.one_one_real)) X3)))))
% 16.06/16.30 (assume a8699 (forall ((X3 tptp.rat) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)) tptp.one_one_rat))))))
% 16.06/16.30 (assume a8700 (forall ((X3 tptp.real) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real V2)) tptp.one_one_real))))))
% 16.06/16.30 (assume a8701 (forall ((X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) X3)))))
% 16.06/16.30 (assume a8702 (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X3)))))
% 16.06/16.30 (assume a8703 (forall ((X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) tptp.one_one_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.30 (assume a8704 (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) tptp.one_one_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.30 (assume a8705 (forall ((V2 tptp.num) (X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) X3)))))
% 16.06/16.30 (assume a8706 (forall ((V2 tptp.num) (X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) X3)))))
% 16.06/16.30 (assume a8707 (forall ((X3 tptp.rat) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2)))))))
% 16.06/16.30 (assume a8708 (forall ((X3 tptp.real) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2)))))))
% 16.06/16.30 (assume a8709 (forall ((B tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real B))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int B)))))
% 16.06/16.30 (assume a8710 (forall ((A tptp.num) (B tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real A)) (tptp.aa_num_real tptp.numeral_numeral_real B)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int A))) (tptp.aa_num_int tptp.numeral_numeral_int B)))))
% 16.06/16.30 (assume a8711 (forall ((V2 tptp.num) (X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) tptp.one_one_rat)) X3)))))
% 16.06/16.30 (assume a8712 (forall ((V2 tptp.num) (X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2))) (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) tptp.one_one_real)) X3)))))
% 16.06/16.30 (assume a8713 (forall ((X3 tptp.rat) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V2))) tptp.one_one_rat))))))
% 16.06/16.30 (assume a8714 (forall ((X3 tptp.real) (V2 tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V2))) tptp.one_one_real))))))
% 16.06/16.30 (assume a8715 (forall ((B tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real B)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int B)))))
% 16.06/16.30 (assume a8716 (forall ((X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat Y))))))
% 16.06/16.30 (assume a8717 (forall ((X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y))))))
% 16.06/16.30 (assume a8718 (forall ((X3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) X3))))
% 16.06/16.30 (assume a8719 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) X3))))
% 16.06/16.30 (assume a8720 (forall ((N tptp.nat) (K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_nat tptp.suc K2)))))
% 16.06/16.30 (assume a8721 (forall ((K2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)))))
% 16.06/16.30 (assume a8722 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))))))
% 16.06/16.30 (assume a8723 (forall ((M2 tptp.nat) (R2 tptp.nat) (K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) R2)) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K2)) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) R2)) K2)) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) R2)) M2)))))
% 16.06/16.30 (assume a8724 (forall ((R2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat R2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) R2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) R2))))))
% 16.06/16.30 (assume a8725 (forall ((A tptp.real) (N tptp.nat) (M2 tptp.nat)) (=> (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) N) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) M2) tptp.zero_zero_real)))))
% 16.06/16.30 (assume a8726 (forall ((A tptp.rat) (N tptp.nat) (M2 tptp.nat)) (=> (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N) tptp.zero_zero_rat) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) M2) tptp.zero_zero_rat)))))
% 16.06/16.30 (assume a8727 (forall ((A tptp.real) (M2 tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) M2) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (not (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) N) tptp.zero_zero_real))))))
% 16.06/16.30 (assume a8728 (forall ((A tptp.rat) (M2 tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) M2) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (not (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N) tptp.zero_zero_rat))))))
% 16.06/16.30 (assume a8729 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2))))))
% 16.06/16.30 (assume a8730 (forall ((Z tptp.int) (X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) X3)))))
% 16.06/16.30 (assume a8731 (forall ((Z tptp.int) (X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) X3)))))
% 16.06/16.30 (assume a8732 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))) (tptp.aa_nat_nat tptp.suc A))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))) A)))))
% 16.06/16.30 (assume a8733 (forall ((N tptp.nat) (K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2))) (tptp.aa_nat_nat tptp.suc K2)))))
% 16.06/16.30 (assume a8734 (forall ((X3 tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat Y))) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) Y))))))
% 16.06/16.30 (assume a8735 (forall ((X3 tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y))) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.plus_plus_real X3) Y))))))
% 16.06/16.30 (assume a8736 (forall ((Z tptp.int) (X3 tptp.rat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) X3)))))
% 16.06/16.30 (assume a8737 (forall ((Z tptp.int) (X3 tptp.real)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) X3)))))
% 16.06/16.30 (assume a8738 (forall ((X3 tptp.rat) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) Z) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))))))
% 16.06/16.30 (assume a8739 (forall ((X3 tptp.real) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) Z) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real Z))))))
% 16.06/16.30 (assume a8740 (forall ((K2 tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) K2))))))))
% 16.06/16.30 (assume a8741 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat K2)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 16.06/16.30 (assume a8742 (forall ((A tptp.complex) (K2 tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K2)) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) K2))) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K2)))))
% 16.06/16.30 (assume a8743 (forall ((A tptp.rat) (K2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) K2)) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) K2))) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K2)))))
% 16.06/16.30 (assume a8744 (forall ((A tptp.real) (K2 tptp.nat)) (= (tptp.aa_nat_real (tptp.gbinomial_real A) K2) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K2)) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real A)) K2))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K2)))))
% 16.06/16.30 (assume a8745 (forall ((A tptp.complex) (K2 tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K2))) tptp.one_one_complex)) K2)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K2)))))
% 16.06/16.30 (assume a8746 (forall ((A tptp.rat) (K2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2))) tptp.one_one_rat)) K2)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K2)))))
% 16.06/16.30 (assume a8747 (forall ((A tptp.real) (K2 tptp.nat)) (= (tptp.aa_nat_real (tptp.gbinomial_real A) K2) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.minus_minus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) tptp.one_one_real)) K2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K2)))))
% 16.06/16.30 (assume a8748 (forall ((X3 tptp.rat) (N tptp.nat)) (=> (= X3 (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) N)))))
% 16.06/16.30 (assume a8749 (forall ((X3 tptp.real) (N tptp.nat)) (=> (= X3 (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_nat_real (tptp.power_power_real X3) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) N)))))
% 16.06/16.30 (assume a8750 (forall ((A tptp.complex) (K2 tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.gbinomial_complex A) K2)) (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K2))))))
% 16.06/16.30 (assume a8751 (forall ((A tptp.real) (K2 tptp.nat)) (= (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.gbinomial_real A) K2)) (tptp.aa_nat_real (tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K2))))))
% 16.06/16.30 (assume a8752 (forall ((A tptp.rat) (K2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2)) (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat tptp.suc K2))))))
% 16.06/16.30 (assume a8753 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) K2) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))))))
% 16.06/16.30 (assume a8754 (forall ((X3 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real X3) N))))))
% 16.06/16.30 (assume a8755 (forall ((X3 tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat X3) N))))))
% 16.06/16.30 (assume a8756 (forall ((X3 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat X3) N))))))
% 16.06/16.30 (assume a8757 (forall ((X3 tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) X3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int X3) N))))))
% 16.06/16.30 (assume a8758 (forall ((X3 tptp.rat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) tptp.one_one_int) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) tptp.one_one_rat)))))
% 16.06/16.30 (assume a8759 (forall ((X3 tptp.real)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) tptp.one_one_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.plus_plus_real X3) tptp.one_one_real)))))
% 16.06/16.30 (assume a8760 (forall ((K2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) K2)))))
% 16.06/16.30 (assume a8761 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat K2)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))))))))
% 16.06/16.30 (assume a8762 (forall ((A tptp.complex) (K2 tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) K2)))))
% 16.06/16.30 (assume a8763 (forall ((A tptp.real) (K2 tptp.nat)) (= (tptp.aa_nat_real (tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.minus_minus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.minus_minus_real A) tptp.one_one_real)) K2)))))
% 16.06/16.30 (assume a8764 (forall ((A tptp.rat) (K2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) tptp.one_one_rat)) K2)))))
% 16.06/16.30 (assume a8765 (forall ((K2 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.divide_divide_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) K2)) (tptp.aa_nat_real (tptp.gbinomial_real A) K2))))))
% 16.06/16.30 (assume a8766 (forall ((K2 tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2))) K2)) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2))))))
% 16.06/16.30 (assume a8767 (forall ((A tptp.rat) (K2 tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2)) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2)) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat tptp.suc K2)))))))
% 16.06/16.30 (assume a8768 (forall ((A tptp.real) (K2 tptp.nat)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.gbinomial_real A) K2)) A) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2)) (tptp.aa_nat_real (tptp.gbinomial_real A) K2))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_real (tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K2)))))))
% 16.06/16.30 (assume a8769 (forall ((A tptp.rat) (K2 tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2)) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat tptp.suc K2)))))))
% 16.06/16.30 (assume a8770 (forall ((A tptp.real) (K2 tptp.nat)) (= (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_nat_real (tptp.gbinomial_real A) K2)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2)) (tptp.aa_nat_real (tptp.gbinomial_real A) K2))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_real (tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K2)))))))
% 16.06/16.30 (assume a8771 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) N)))))
% 16.06/16.30 (assume a8772 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.plus_plus_real A) tptp.one_one_real)) N)))))
% 16.06/16.30 (assume a8773 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) N)))))
% 16.06/16.30 (assume a8774 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)) N)))))
% 16.06/16.30 (assume a8775 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int)) N)))))
% 16.06/16.30 (assume a8776 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))))))
% 16.06/16.30 (assume a8777 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) N)) (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))
% 16.06/16.30 (assume a8778 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 16.06/16.30 (assume a8779 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))))))
% 16.06/16.30 (assume a8780 (forall ((Z tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) N)))))
% 16.06/16.30 (assume a8781 (forall ((Z tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Z) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real Z) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Z) N)))))
% 16.06/16.30 (assume a8782 (forall ((Z tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Z) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Z) N)))))
% 16.06/16.30 (assume a8783 (forall ((Z tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat Z) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Z) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat Z) N)))))
% 16.06/16.30 (assume a8784 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (not (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) K2) tptp.zero_zero_complex)))))
% 16.06/16.30 (assume a8785 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (not (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) K2) tptp.zero_z3403309356797280102nteger)))))
% 16.06/16.30 (assume a8786 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (not (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) K2) tptp.zero_zero_rat)))))
% 16.06/16.30 (assume a8787 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (not (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) K2) tptp.zero_zero_real)))))
% 16.06/16.30 (assume a8788 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (not (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) K2) tptp.zero_zero_int)))))
% 16.06/16.30 (assume a8789 (forall ((Z tptp.rat) (N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) N)) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) M2)))))
% 16.06/16.30 (assume a8790 (forall ((Z tptp.real) (N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Z) N)) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.plus_plus_real Z) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) M2)))))
% 16.06/16.30 (assume a8791 (forall ((Z tptp.int) (N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Z) N)) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) M2)))))
% 16.06/16.30 (assume a8792 (forall ((Z tptp.nat) (N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat Z) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Z) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) M2)))))
% 16.06/16.30 (assume a8793 (forall ((P tptp.fun_int_bool) (T tptp.rat)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_rat_int tptp.archim3151403230148437115or_rat T))) (forall ((I4 tptp.int)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat I4)) T)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat T) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat I4)) tptp.one_one_rat)))) (tptp.pp (tptp.aa_int_bool P I4)))))))
% 16.06/16.30 (assume a8794 (forall ((P tptp.fun_int_bool) (T tptp.real)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_real_int tptp.archim6058952711729229775r_real T))) (forall ((I4 tptp.int)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real I4)) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real I4)) tptp.one_one_real)))) (tptp.pp (tptp.aa_int_bool P I4)))))))
% 16.06/16.30 (assume a8795 (forall ((X3 tptp.rat) (A tptp.int)) (= (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3) A) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) tptp.one_one_rat)))))))
% 16.06/16.30 (assume a8796 (forall ((X3 tptp.real) (A tptp.int)) (= (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X3) A) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) tptp.one_one_real)))))))
% 16.06/16.30 (assume a8797 (forall ((Z tptp.int) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) X3)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat))) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3) Z)))))
% 16.06/16.30 (assume a8798 (forall ((Z tptp.int) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real))) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X3) Z)))))
% 16.06/16.30 (assume a8799 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) K2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)))))))
% 16.06/16.30 (assume a8800 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2))) K2)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)))))))
% 16.06/16.30 (assume a8801 (forall ((A tptp.rat) (B tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat A)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat B))) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B))))))))
% 16.06/16.30 (assume a8802 (forall ((A tptp.real) (B tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int tptp.archim6058952711729229775r_real A)) (tptp.aa_real_int tptp.archim6058952711729229775r_real B))) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.times_times_real A) B))))))))
% 16.06/16.30 (assume a8803 (forall ((Z tptp.int) (X3 tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat)) X3)))))
% 16.06/16.30 (assume a8804 (forall ((Z tptp.int) (X3 tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real)) X3)))))
% 16.06/16.30 (assume a8805 (forall ((K2 tptp.nat) (K6 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) K6)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K6)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K6)))))))
% 16.06/16.30 (assume a8806 (forall ((N tptp.nat) (K2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) N)))))
% 16.06/16.30 (assume a8807 (forall ((X3 tptp.rat) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat))))))
% 16.06/16.30 (assume a8808 (forall ((X3 tptp.real) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real))))))
% 16.06/16.30 (assume a8809 (forall ((N tptp.nat) (K2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a8810 (forall ((K2 tptp.nat) (K6 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) K6)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) K2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K6) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K6)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2))))))))
% 16.06/16.30 (assume a8811 (forall ((N tptp.nat) (K2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.30 (assume a8812 (forall ((X3 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3))) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X3)) tptp.one_one_int)))))))
% 16.06/16.30 (assume a8813 (forall ((X3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X3))) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) tptp.one_one_int)))))))
% 16.06/16.30 (assume a8814 (forall ((N tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K2) tptp.one_one_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) K2)))))))
% 16.06/16.30 (assume a8815 (forall ((K2 tptp.nat) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_complex (tptp.gbinomial_complex A) K2)))))
% 16.06/16.30 (assume a8816 (forall ((K2 tptp.nat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2)))))
% 16.06/16.30 (assume a8817 (forall ((K2 tptp.nat) (A tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_real (tptp.gbinomial_real A) K2)))))
% 16.06/16.30 (assume a8818 (forall ((K2 tptp.nat) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) K2)))))
% 16.06/16.30 (assume a8819 (forall ((K2 tptp.nat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) tptp.one_one_rat)) K2)))))
% 16.06/16.30 (assume a8820 (forall ((K2 tptp.nat) (A tptp.real)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_real (tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_real_real (tptp.times_times_real A) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.minus_minus_real A) tptp.one_one_real)) K2)))))
% 16.06/16.30 (assume a8821 (forall ((K2 tptp.nat) (M2 tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) M2)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat A) M2)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2)) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) K2)))))))
% 16.06/16.30 (assume a8822 (forall ((K2 tptp.nat) (M2 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) M2)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.gbinomial_real A) M2)) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) K2)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.gbinomial_real A) K2)) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.minus_minus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) K2)))))))
% 16.06/16.30 (assume a8823 (forall ((M2 tptp.nat) (N tptp.nat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) M2)) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)))))))
% 16.06/16.30 (assume a8824 (forall ((M2 tptp.nat) (N tptp.nat) (Z tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Z) N) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Z) M2)) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.plus_plus_real Z) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)))))))
% 16.06/16.30 (assume a8825 (forall ((M2 tptp.nat) (N tptp.nat) (Z tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Z) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Z) M2)) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)))))))
% 16.06/16.30 (assume a8826 (forall ((M2 tptp.nat) (N tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat Z) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat Z) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Z) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)))))))
% 16.06/16.30 (assume a8827 (forall ((Q3 tptp.rat) (P2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Q3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat P2) Q3)))) Q3)) P2)))))
% 16.06/16.30 (assume a8828 (forall ((Q3 tptp.real) (P2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Q3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.divide_divide_real P2) Q3)))) Q3)) P2)))))
% 16.06/16.30 (assume a8829 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc K2)))))))
% 16.06/16.30 (assume a8830 (forall ((K2 tptp.nat) (K6 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) K6)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K6)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K6)))))))
% 16.06/16.30 (assume a8831 (forall ((K2 tptp.nat) (K6 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) K6)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K6) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K6)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2))))))))
% 16.06/16.30 (assume a8832 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a8833 (forall ((N tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat tptp.suc K2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) K2))))))
% 16.06/16.30 (assume a8834 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K2)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))))))))
% 16.06/16.30 (assume a8835 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K2)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))))))))
% 16.06/16.30 (assume a8836 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2))))))))
% 16.06/16.30 (assume a8837 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K2)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))))))
% 16.06/16.30 (assume a8838 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K2)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))))))
% 16.06/16.30 (assume a8839 (forall ((K2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))))))
% 16.06/16.30 (assume a8840 (forall ((A tptp.complex) (K2 tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K2)))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) K2)))))
% 16.06/16.30 (assume a8841 (forall ((A tptp.rat) (K2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K2)))) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2)))))
% 16.06/16.30 (assume a8842 (forall ((A tptp.real) (K2 tptp.nat)) (= (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K2)))) (tptp.aa_nat_real (tptp.gbinomial_real A) K2)))))
% 16.06/16.30 (assume a8843 (forall ((A tptp.complex) (K2 tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex A) K2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K2)))))))
% 16.06/16.30 (assume a8844 (forall ((A tptp.rat) (K2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K2)))))))
% 16.06/16.30 (assume a8845 (forall ((A tptp.real) (K2 tptp.nat)) (= (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.gbinomial_real A) K2)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K2)))))))
% 16.06/16.30 (assume a8846 (forall ((K2 tptp.nat) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K2)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) tptp.one_one_complex)) K2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K2))) tptp.one_one_complex)) N)))))
% 16.06/16.30 (assume a8847 (forall ((K2 tptp.nat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) K2)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) tptp.one_one_rat)) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2))) tptp.one_one_rat)) N)))))
% 16.06/16.30 (assume a8848 (forall ((K2 tptp.nat) (N tptp.nat)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K2)) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.one_one_real)) K2)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) tptp.one_one_real)) N)))))
% 16.06/16.30 (assume a8849 (forall ((A tptp.complex) (K2 tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K2)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K2)) A)) tptp.one_one_complex)) K2)))))
% 16.06/16.30 (assume a8850 (forall ((A tptp.rat) (K2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) K2)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2)) A)) tptp.one_one_rat)) K2)))))
% 16.06/16.30 (assume a8851 (forall ((A tptp.real) (K2 tptp.nat)) (= (tptp.aa_nat_real (tptp.gbinomial_real A) K2) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K2)) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2)) A)) tptp.one_one_real)) K2)))))
% 16.06/16.30 (assume a8852 (forall ((R2 tptp.complex) (K2 tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex R2) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K2))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex R2)) K2)) (tptp.aa_complex_complex (tptp.times_times_complex R2) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex R2)) tptp.one_one_complex)) K2)))))
% 16.06/16.30 (assume a8853 (forall ((R2 tptp.code_integer) (K2 tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.minus_8373710615458151222nteger R2 (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger K2))) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger R2)) K2)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger R2) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger R2) tptp.one_one_Code_integer)) K2)))))
% 16.06/16.30 (assume a8854 (forall ((R2 tptp.rat) (K2 tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat R2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat R2)) K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat R2) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat R2)) tptp.one_one_rat)) K2)))))
% 16.06/16.30 (assume a8855 (forall ((R2 tptp.real) (K2 tptp.nat)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real R2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real R2)) K2)) (tptp.aa_real_real (tptp.times_times_real R2) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real R2)) tptp.one_one_real)) K2)))))
% 16.06/16.30 (assume a8856 (forall ((R2 tptp.int) (K2 tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int R2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K2))) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int R2)) K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int R2) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int R2)) tptp.one_one_int)) K2)))))
% 16.06/16.30 (assume a8857 (forall ((Q3 tptp.rat) (P2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Q3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat P2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat P2) Q3)))) tptp.one_one_rat)) Q3))))))
% 16.06/16.30 (assume a8858 (forall ((Q3 tptp.real) (P2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Q3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real P2) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.divide_divide_real P2) Q3)))) tptp.one_one_real)) Q3))))))
% 16.06/16.30 (assume a8859 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)))))
% 16.06/16.30 (assume a8860 (forall ((N tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger N))) N) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) N)) (tptp.aa_nat_Code_integer tptp.semiri3624122377584611663nteger N)))))
% 16.06/16.30 (assume a8861 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)))))
% 16.06/16.30 (assume a8862 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 16.06/16.30 (assume a8863 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) N) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 16.06/16.30 (assume a8864 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a8865 (forall ((X3 tptp.rat)) (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X3) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a8866 (forall ((X3 tptp.real)) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X3) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a8867 (forall ((A tptp.complex) (K2 tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) K2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K2)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K2))) tptp.one_one_complex)) K2)))))
% 16.06/16.30 (assume a8868 (forall ((A tptp.rat) (K2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) K2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) K2)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2))) tptp.one_one_rat)) K2)))))
% 16.06/16.30 (assume a8869 (forall ((A tptp.real) (K2 tptp.nat)) (= (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real tptp.uminus_uminus_real A)) K2) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K2)) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) tptp.one_one_real)) K2)))))
% 16.06/16.30 (assume a8870 (forall ((K2 tptp.nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K2) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K2) tptp.one_one_nat))) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) K2))))))
% 16.06/16.30 (assume a8871 (forall ((K2 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (= (tptp.aa_nat_real (tptp.gbinomial_real A) K2) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.minus_minus_real A) tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K2) tptp.one_one_nat))) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.minus_minus_real A) tptp.one_one_real)) K2))))))
% 16.06/16.30 (assume a8872 (forall ((K2 tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) K2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K2) tptp.one_one_nat))) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) tptp.one_one_rat)) K2))))))
% 16.06/16.30 (assume a8873 (forall ((B tptp.complex) (K2 tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex B) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K2))) tptp.one_one_complex)) K2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K2)) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) K2)))))
% 16.06/16.30 (assume a8874 (forall ((B tptp.code_integer) (K2 tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger (tptp.minus_8373710615458151222nteger B (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger K2)) tptp.one_one_Code_integer)) K2) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) K2)) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) K2)))))
% 16.06/16.30 (assume a8875 (forall ((B tptp.rat) (K2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2))) tptp.one_one_rat)) K2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) K2)) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) K2)))))
% 16.06/16.30 (assume a8876 (forall ((B tptp.real) (K2 tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.minus_minus_real B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) tptp.one_one_real)) K2) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K2)) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real B)) K2)))))
% 16.06/16.30 (assume a8877 (forall ((B tptp.int) (K2 tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K2))) tptp.one_one_int)) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) K2)) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int B)) K2)))))
% 16.06/16.30 (assume a8878 (forall ((B tptp.complex) (K2 tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B)) K2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K2)) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex B) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K2))) tptp.one_one_complex)) K2)))))
% 16.06/16.30 (assume a8879 (forall ((B tptp.code_integer) (K2 tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B)) K2) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) K2)) (tptp.aa_nat_Code_integer (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger (tptp.minus_8373710615458151222nteger B (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger K2)) tptp.one_one_Code_integer)) K2)))))
% 16.06/16.30 (assume a8880 (forall ((B tptp.rat) (K2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B)) K2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) K2)) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat B) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K2))) tptp.one_one_rat)) K2)))))
% 16.06/16.30 (assume a8881 (forall ((B tptp.real) (K2 tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real B)) K2) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K2)) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.minus_minus_real B) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) tptp.one_one_real)) K2)))))
% 16.06/16.30 (assume a8882 (forall ((B tptp.int) (K2 tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int B)) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) K2)) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K2))) tptp.one_one_int)) K2)))))
% 16.06/16.30 (assume a8883 (forall ((K2 tptp.nat) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_pn K2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) tptp.one_one_complex)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) tptp.one_one_nat)))))
% 16.06/16.30 (assume a8884 (forall ((K2 tptp.nat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_po K2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) tptp.one_one_rat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) tptp.one_one_nat)))))
% 16.06/16.30 (assume a8885 (forall ((K2 tptp.nat) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_pp K2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) tptp.one_one_nat)))))
% 16.06/16.30 (assume a8886 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.one_one_int)))))
% 16.06/16.30 (assume a8887 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) N))) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)))))
% 16.06/16.30 (assume a8888 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) N))) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)))))
% 16.06/16.30 (assume a8889 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) N))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 16.06/16.30 (assume a8890 (forall ((B tptp.nat) (N tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) N)) K2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.log (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K2))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))))
% 16.06/16.30 (assume a8891 (forall ((N tptp.nat) (K2 tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2) tptp.zero_zero_nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K2))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K2))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K2)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K2)) tptp.one_one_nat)) N) tptp.one_one_nat)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat K2)))))))))
% 16.06/16.30 (assume a8892 (forall ((Z tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups6464643781859351333omplex (tptp.aTP_Lamm_pq Z) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))))
% 16.06/16.30 (assume a8893 (forall ((Z tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_pr Z) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))))
% 16.06/16.30 (assume a8894 (forall ((Z tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Z) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.plus_plus_real Z) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_ps Z) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))))
% 16.06/16.30 (assume a8895 (forall ((N tptp.nat) (A tptp.complex)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N) tptp.one_one_complex)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N) (tptp.aa_complex_complex (tptp.set_fo1517530859248394432omplex (tptp.aTP_Lamm_pt A) tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_complex))))))
% 16.06/16.30 (assume a8896 (forall ((N tptp.nat) (A tptp.rat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N) tptp.one_one_rat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N) (tptp.aa_rat_rat (tptp.set_fo1949268297981939178at_rat (tptp.aTP_Lamm_pu A) tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_rat))))))
% 16.06/16.30 (assume a8897 (forall ((N tptp.nat) (A tptp.real)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) N) tptp.one_one_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) N) (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.set_fo3111899725591712190t_real (tptp.aTP_Lamm_pv A) tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_real))))))
% 16.06/16.30 (assume a8898 (forall ((N tptp.nat) (A tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) N) tptp.one_one_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) N) (tptp.aa_int_int (tptp.set_fo2581907887559384638at_int (tptp.aTP_Lamm_pw A) tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_int))))))
% 16.06/16.30 (assume a8899 (forall ((N tptp.nat) (A tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) N) tptp.one_one_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat (tptp.aTP_Lamm_px A) tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_nat))))))
% 16.06/16.30 (assume a8900 (forall ((A tptp.complex) (M2 tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_pk A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M2)) tptp.one_one_complex)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) tptp.one_one_nat))))))
% 16.06/16.30 (assume a8901 (forall ((A tptp.rat) (M2 tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_pl A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M2)) tptp.one_one_rat)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) tptp.one_one_nat))))))
% 16.06/16.30 (assume a8902 (forall ((A tptp.real) (M2 tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_pm A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M2)) tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.gbinomial_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) tptp.one_one_nat))))))
% 16.06/16.30 (assume a8903 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_py N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.30 (assume a8904 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_pz N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.30 (assume a8905 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_qa N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.30 (assume a8906 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_qb N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.30 (assume a8907 (forall ((I tptp.real) (K2 tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) (tptp.set_ord_atMost_real K2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I) K2)))))
% 16.06/16.30 (assume a8908 (forall ((I tptp.bool) (K2 tptp.bool)) (= (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) (tptp.set_ord_atMost_bool K2))) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.ord_less_eq_bool I) K2)))))
% 16.06/16.30 (assume a8909 (forall ((I tptp.set_nat) (K2 tptp.set_nat)) (= (tptp.member_set_nat I (tptp.set_or4236626031148496127et_nat K2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat I) K2)))))
% 16.06/16.30 (assume a8910 (forall ((I tptp.rat) (K2 tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.member_rat I) (tptp.set_ord_atMost_rat K2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat I) K2)))))
% 16.06/16.30 (assume a8911 (forall ((I tptp.num) (K2 tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.member_num I) (tptp.set_ord_atMost_num K2))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num I) K2)))))
% 16.06/16.30 (assume a8912 (forall ((I tptp.int) (K2 tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) (tptp.set_ord_atMost_int K2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) K2)))))
% 16.06/16.30 (assume a8913 (forall ((I tptp.nat) (K2 tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat K2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) K2)))))
% 16.06/16.30 (assume a8914 (forall ((G tptp.fun_bool_complex)) (= (tptp.groups4392847887476860640omplex G tptp.bot_bot_set_bool) tptp.one_one_complex)))
% 16.06/16.30 (assume a8915 (forall ((G tptp.fun_bool_real)) (= (tptp.groups2440149372559378398l_real G tptp.bot_bot_set_bool) tptp.one_one_real)))
% 16.06/16.30 (assume a8916 (forall ((G tptp.fun_bool_rat)) (= (tptp.groups1259819201609700362ol_rat G tptp.bot_bot_set_bool) tptp.one_one_rat)))
% 16.06/16.30 (assume a8917 (forall ((G tptp.fun_bool_nat)) (= (tptp.groups1894949261696196098ol_nat G tptp.bot_bot_set_bool) tptp.one_one_nat)))
% 16.06/16.30 (assume a8918 (forall ((G tptp.fun_bool_int)) (= (tptp.groups1892458791187145822ol_int G tptp.bot_bot_set_bool) tptp.one_one_int)))
% 16.06/16.30 (assume a8919 (forall ((G tptp.fun_nat_complex)) (= (tptp.groups6464643781859351333omplex G tptp.bot_bot_set_nat) tptp.one_one_complex)))
% 16.06/16.30 (assume a8920 (forall ((G tptp.fun_nat_real)) (= (tptp.groups129246275422532515t_real G tptp.bot_bot_set_nat) tptp.one_one_real)))
% 16.06/16.30 (assume a8921 (forall ((G tptp.fun_nat_rat)) (= (tptp.groups73079841787564623at_rat G tptp.bot_bot_set_nat) tptp.one_one_rat)))
% 16.06/16.30 (assume a8922 (forall ((G tptp.fun_int_complex)) (= (tptp.groups7440179247065528705omplex G tptp.bot_bot_set_int) tptp.one_one_complex)))
% 16.06/16.30 (assume a8923 (forall ((G tptp.fun_int_real)) (= (tptp.groups2316167850115554303t_real G tptp.bot_bot_set_int) tptp.one_one_real)))
% 16.06/16.30 (assume a8924 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (= (tptp.ord_le6893508408891458716et_nat (tptp.set_or4236626031148496127et_nat X3) (tptp.set_or4236626031148496127et_nat Y)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat X3) Y)))))
% 16.06/16.30 (assume a8925 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_eq_set_rat (tptp.set_ord_atMost_rat X3)) (tptp.set_ord_atMost_rat Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y)))))
% 16.06/16.30 (assume a8926 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_eq_set_num (tptp.set_ord_atMost_num X3)) (tptp.set_ord_atMost_num Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y)))))
% 16.06/16.30 (assume a8927 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_ord_atMost_int X3)) (tptp.set_ord_atMost_int Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)))))
% 16.06/16.30 (assume a8928 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat X3)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y)))))
% 16.06/16.30 (assume a8929 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.groups1681761925125756287l_real G (tptp.insert_real X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real G X3)) (tptp.groups1681761925125756287l_real G A4)))))))
% 16.06/16.30 (assume a8930 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (G tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (= (tptp.groups2440149372559378398l_real G (tptp.insert_bool X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_bool_real G X3)) (tptp.groups2440149372559378398l_real G A4)))))))
% 16.06/16.30 (assume a8931 (forall ((A4 tptp.set_int) (X3 tptp.int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (= (tptp.groups2316167850115554303t_real G (tptp.insert_int X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real G X3)) (tptp.groups2316167850115554303t_real G A4)))))))
% 16.06/16.30 (assume a8932 (forall ((A4 tptp.set_nat) (X3 tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4))) (= (tptp.groups129246275422532515t_real G (tptp.insert_nat X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real G X3)) (tptp.groups129246275422532515t_real G A4)))))))
% 16.06/16.30 (assume a8933 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (= (tptp.groups766887009212190081x_real G (tptp.insert_complex X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real G X3)) (tptp.groups766887009212190081x_real G A4)))))))
% 16.06/16.30 (assume a8934 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.groups4061424788464935467al_rat G (tptp.insert_real X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_real_rat G X3)) (tptp.groups4061424788464935467al_rat G A4)))))))
% 16.06/16.30 (assume a8935 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (G tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (= (tptp.groups1259819201609700362ol_rat G (tptp.insert_bool X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_bool_rat G X3)) (tptp.groups1259819201609700362ol_rat G A4)))))))
% 16.06/16.30 (assume a8936 (forall ((A4 tptp.set_int) (X3 tptp.int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (= (tptp.groups1072433553688619179nt_rat G (tptp.insert_int X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_int_rat G X3)) (tptp.groups1072433553688619179nt_rat G A4)))))))
% 16.06/16.30 (assume a8937 (forall ((A4 tptp.set_nat) (X3 tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4))) (= (tptp.groups73079841787564623at_rat G (tptp.insert_nat X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G X3)) (tptp.groups73079841787564623at_rat G A4)))))))
% 16.06/16.30 (assume a8938 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (= (tptp.groups225925009352817453ex_rat G (tptp.insert_complex X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_complex_rat G X3)) (tptp.groups225925009352817453ex_rat G A4)))))))
% 16.06/16.30 (assume a8939 (forall ((L tptp.set_nat) (H tptp.set_nat) (H2 tptp.set_nat)) (= (tptp.ord_le6893508408891458716et_nat (tptp.set_or4548717258645045905et_nat L H) (tptp.set_or4236626031148496127et_nat H2)) (or (not (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat L) H))) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat H) H2))))))
% 16.06/16.30 (assume a8940 (forall ((L tptp.rat) (H tptp.rat) (H2 tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_eq_set_rat (tptp.set_or633870826150836451st_rat L H)) (tptp.set_ord_atMost_rat H2))) (or (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat L) H))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat H) H2))))))
% 16.06/16.30 (assume a8941 (forall ((L tptp.num) (H tptp.num) (H2 tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_eq_set_num (tptp.set_or7049704709247886629st_num L H)) (tptp.set_ord_atMost_num H2))) (or (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num L) H))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num H) H2))))))
% 16.06/16.30 (assume a8942 (forall ((L tptp.nat) (H tptp.nat) (H2 tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat H2))) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat L) H))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat H) H2))))))
% 16.06/16.30 (assume a8943 (forall ((L tptp.int) (H tptp.int) (H2 tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_or1266510415728281911st_int L H)) (tptp.set_ord_atMost_int H2))) (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L) H))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int H) H2))))))
% 16.06/16.30 (assume a8944 (forall ((L tptp.real) (H tptp.real) (H2 tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_or1222579329274155063t_real L H)) (tptp.set_ord_atMost_real H2))) (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L) H))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real H) H2))))))
% 16.06/16.30 (assume a8945 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a8946 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a8947 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a8948 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a8949 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_real G N)))))
% 16.06/16.30 (assume a8950 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_rat G N)))))
% 16.06/16.30 (assume a8951 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_nat G N)))))
% 16.06/16.30 (assume a8952 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_nat_int G N)))))
% 16.06/16.30 (assume a8953 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a8954 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a8955 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a8956 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a8957 (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat tptp.zero_zero_nat) (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat)))
% 16.06/16.30 (assume a8958 (forall ((N tptp.nat) (M2 tptp.nat) (G tptp.fun_nat_complex)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2)) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_complex)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2))) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.06/16.30 (assume a8959 (forall ((N tptp.nat) (M2 tptp.nat) (G tptp.fun_nat_real)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2))) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.06/16.30 (assume a8960 (forall ((N tptp.nat) (M2 tptp.nat) (G tptp.fun_nat_rat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2))) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.06/16.30 (assume a8961 (forall ((N tptp.nat) (M2 tptp.nat) (G tptp.fun_nat_nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2))) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.06/16.30 (assume a8962 (forall ((N tptp.nat) (M2 tptp.nat) (G tptp.fun_nat_int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M2))) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))))
% 16.06/16.30 (assume a8963 (forall ((H tptp.bool)) (not (= tptp.bot_bot_set_bool (tptp.set_ord_atMost_bool H)))))
% 16.06/16.30 (assume a8964 (forall ((H tptp.int)) (not (= tptp.bot_bot_set_int (tptp.set_ord_atMost_int H)))))
% 16.06/16.30 (assume a8965 (forall ((H tptp.nat)) (not (= tptp.bot_bot_set_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat H)))))
% 16.06/16.30 (assume a8966 (forall ((F tptp.fun_nat_nat) (A4 tptp.set_nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A4)) N) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qc F) N)) A4))))
% 16.06/16.30 (assume a8967 (forall ((F tptp.fun_nat_int) (A4 tptp.set_nat) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.groups705719431365010083at_int F A4)) N) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_qd F) N) A4))))
% 16.06/16.30 (assume a8968 (forall ((F tptp.fun_int_int) (A4 tptp.set_int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.groups1705073143266064639nt_int F A4)) N) (tptp.groups1705073143266064639nt_int (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_qe F) N) A4))))
% 16.06/16.30 (assume a8969 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real G tptp.zero_zero_nat)) (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_il G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.06/16.30 (assume a8970 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G tptp.zero_zero_nat)) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_jq G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.06/16.30 (assume a8971 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat G tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_is G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.06/16.30 (assume a8972 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G tptp.zero_zero_nat)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_jr G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.06/16.30 (assume a8973 (forall ((A tptp.fun_nat_fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_qf A)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qh A) N)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a8974 (forall ((A tptp.fun_nat_fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_qi A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_qk A) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a8975 (forall ((U tptp.set_nat)) (= (tptp.set_or4236626031148496127et_nat U) (tptp.collect_set_nat (tptp.aTP_Lamm_et U)))))
% 16.06/16.30 (assume a8976 (forall ((U tptp.rat)) (= (tptp.set_ord_atMost_rat U) (tptp.collect_rat (tptp.aa_rat_fun_rat_bool tptp.aTP_Lamm_ql U)))))
% 16.06/16.30 (assume a8977 (forall ((U tptp.num)) (= (tptp.set_ord_atMost_num U) (tptp.collect_num (tptp.aa_num_fun_num_bool tptp.aTP_Lamm_qm U)))))
% 16.06/16.30 (assume a8978 (forall ((U tptp.int)) (= (tptp.set_ord_atMost_int U) (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_qn U)))))
% 16.06/16.30 (assume a8979 (forall ((U tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat U) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_eq U)))))
% 16.06/16.30 (assume a8980 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F X5))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A4))))))
% 16.06/16.30 (assume a8981 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_int)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int F X5))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.groups705719431365010083at_int F A4))))))
% 16.06/16.30 (assume a8982 (forall ((A4 tptp.set_int) (F tptp.fun_int_int)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int F X5))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.groups1705073143266064639nt_int F A4))))))
% 16.06/16.30 (assume a8983 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F I3)) (tptp.aa_complex_real G I3)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups766887009212190081x_real F A4)) (tptp.groups766887009212190081x_real G A4))))))
% 16.06/16.30 (assume a8984 (forall ((A4 tptp.set_real) (F tptp.fun_real_real) (G tptp.fun_real_real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F I3)) (tptp.aa_real_real G I3)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups1681761925125756287l_real F A4)) (tptp.groups1681761925125756287l_real G A4))))))
% 16.06/16.30 (assume a8985 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_real) (G tptp.fun_bool_real)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_bool_real F I3)) (tptp.aa_bool_real G I3)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2440149372559378398l_real F A4)) (tptp.groups2440149372559378398l_real G A4))))))
% 16.06/16.30 (assume a8986 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F I3)) (tptp.aa_nat_real G I3)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups129246275422532515t_real F A4)) (tptp.groups129246275422532515t_real G A4))))))
% 16.06/16.30 (assume a8987 (forall ((A4 tptp.set_int) (F tptp.fun_int_real) (G tptp.fun_int_real)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F I3)) (tptp.aa_int_real G I3)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2316167850115554303t_real F A4)) (tptp.groups2316167850115554303t_real G A4))))))
% 16.06/16.30 (assume a8988 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F I3)) (tptp.aa_complex_rat G I3)))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups225925009352817453ex_rat F A4)) (tptp.groups225925009352817453ex_rat G A4))))))
% 16.06/16.30 (assume a8989 (forall ((A4 tptp.set_real) (F tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F I3)) (tptp.aa_real_rat G I3)))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups4061424788464935467al_rat F A4)) (tptp.groups4061424788464935467al_rat G A4))))))
% 16.06/16.30 (assume a8990 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_rat) (G tptp.fun_bool_rat)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_bool_rat F I3)) (tptp.aa_bool_rat G I3)))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1259819201609700362ol_rat F A4)) (tptp.groups1259819201609700362ol_rat G A4))))))
% 16.06/16.30 (assume a8991 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F I3)) (tptp.aa_nat_rat G I3)))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups73079841787564623at_rat F A4)) (tptp.groups73079841787564623at_rat G A4))))))
% 16.06/16.30 (assume a8992 (forall ((A4 tptp.set_int) (F tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F I3)) (tptp.aa_int_rat G I3)))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1072433553688619179nt_rat F A4)) (tptp.groups1072433553688619179nt_rat G A4))))))
% 16.06/16.30 (assume a8993 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_real)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_complex_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups766887009212190081x_real F A4))))))
% 16.06/16.30 (assume a8994 (forall ((A4 tptp.set_real) (F tptp.fun_real_real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups1681761925125756287l_real F A4))))))
% 16.06/16.30 (assume a8995 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_real)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_bool_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups2440149372559378398l_real F A4))))))
% 16.06/16.30 (assume a8996 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_real)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups129246275422532515t_real F A4))))))
% 16.06/16.30 (assume a8997 (forall ((A4 tptp.set_int) (F tptp.fun_int_real)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_int_real F X5))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups2316167850115554303t_real F A4))))))
% 16.06/16.30 (assume a8998 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_complex_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.groups225925009352817453ex_rat F A4))))))
% 16.06/16.30 (assume a8999 (forall ((A4 tptp.set_real) (F tptp.fun_real_rat)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_real_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.groups4061424788464935467al_rat F A4))))))
% 16.06/16.30 (assume a9000 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_rat)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_bool_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.groups1259819201609700362ol_rat F A4))))))
% 16.06/16.30 (assume a9001 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_nat_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.groups73079841787564623at_rat F A4))))))
% 16.06/16.30 (assume a9002 (forall ((A4 tptp.set_int) (F tptp.fun_int_rat)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_int_rat F X5))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.groups1072433553688619179nt_rat F A4))))))
% 16.06/16.30 (assume a9003 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real G tptp.zero_zero_nat)) (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_il G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9004 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G tptp.zero_zero_nat)) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_jq G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9005 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat G tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_is G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9006 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G tptp.zero_zero_nat)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_jr G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9007 (forall ((K2 tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat K2))))
% 16.06/16.30 (assume a9008 (forall ((K2 tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc K2)) (tptp.insert_nat (tptp.aa_nat_nat tptp.suc K2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat K2)))))
% 16.06/16.30 (assume a9009 (forall ((H tptp.int) (L2 tptp.int) (H2 tptp.int)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_ord_atMost_int H)) (tptp.set_or1266510415728281911st_int L2 H2))))))
% 16.06/16.30 (assume a9010 (forall ((H tptp.real) (L2 tptp.real) (H2 tptp.real)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_ord_atMost_real H)) (tptp.set_or1222579329274155063t_real L2 H2))))))
% 16.06/16.30 (assume a9011 (forall ((G tptp.fun_nat_nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_is G)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.30 (assume a9012 (forall ((G tptp.fun_nat_int) (M2 tptp.nat) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_jr G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.30 (assume a9013 (forall ((C tptp.real) (F tptp.fun_nat_nat) (A4 tptp.set_nat)) (= (tptp.aa_nat_real (tptp.power_power_real C) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4)) (tptp.groups129246275422532515t_real (tptp.aa_fun1538629612289296340t_real (tptp.aTP_Lamm_qo C) F) A4))))
% 16.06/16.30 (assume a9014 (forall ((C tptp.complex) (F tptp.fun_nat_nat) (A4 tptp.set_nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex C) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4)) (tptp.groups6464643781859351333omplex (tptp.aa_fun1958354139826840918omplex (tptp.aTP_Lamm_qp C) F) A4))))
% 16.06/16.30 (assume a9015 (forall ((C tptp.nat) (F tptp.fun_nat_nat) (A4 tptp.set_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat C) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_qq C) F)) A4))))
% 16.06/16.30 (assume a9016 (forall ((C tptp.int) (F tptp.fun_nat_nat) (A4 tptp.set_nat)) (= (tptp.aa_nat_int (tptp.power_power_int C) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) A4)) (tptp.groups705719431365010083at_int (tptp.aa_fun1613598493704395220at_int (tptp.aTP_Lamm_qr C) F) A4))))
% 16.06/16.30 (assume a9017 (forall ((C tptp.int) (F tptp.fun_int_nat) (A4 tptp.set_int)) (= (tptp.aa_nat_int (tptp.power_power_int C) (tptp.groups4541462559716669496nt_nat F A4)) (tptp.groups1705073143266064639nt_int (tptp.aa_fun2328901131235339916nt_int (tptp.aTP_Lamm_qs C) F) A4))))
% 16.06/16.30 (assume a9018 (forall ((G tptp.fun_nat_nat) (M2 tptp.nat) (K2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K2))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_it G) K2)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.30 (assume a9019 (forall ((G tptp.fun_nat_int) (M2 tptp.nat) (K2 tptp.nat) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K2))) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_qt G) K2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.30 (assume a9020 (forall ((S3 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (exists ((K3 tptp.nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat K3)))))))
% 16.06/16.30 (assume a9021 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_real)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F X5))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F X5)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups766887009212190081x_real F A4)) tptp.one_one_real)))))
% 16.06/16.30 (assume a9022 (forall ((A4 tptp.set_real) (F tptp.fun_real_real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X5))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F X5)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups1681761925125756287l_real F A4)) tptp.one_one_real)))))
% 16.06/16.30 (assume a9023 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_real)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real F X5))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_bool_real F X5)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2440149372559378398l_real F A4)) tptp.one_one_real)))))
% 16.06/16.30 (assume a9024 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_real)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F X5))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F X5)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups129246275422532515t_real F A4)) tptp.one_one_real)))))
% 16.06/16.30 (assume a9025 (forall ((A4 tptp.set_int) (F tptp.fun_int_real)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F X5))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F X5)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2316167850115554303t_real F A4)) tptp.one_one_real)))))
% 16.06/16.30 (assume a9026 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F X5))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F X5)) tptp.one_one_rat))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups225925009352817453ex_rat F A4)) tptp.one_one_rat)))))
% 16.06/16.30 (assume a9027 (forall ((A4 tptp.set_real) (F tptp.fun_real_rat)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F X5))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F X5)) tptp.one_one_rat))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups4061424788464935467al_rat F A4)) tptp.one_one_rat)))))
% 16.06/16.30 (assume a9028 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_rat)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F X5))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_bool_rat F X5)) tptp.one_one_rat))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1259819201609700362ol_rat F A4)) tptp.one_one_rat)))))
% 16.06/16.30 (assume a9029 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F X5))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X5)) tptp.one_one_rat))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups73079841787564623at_rat F A4)) tptp.one_one_rat)))))
% 16.06/16.30 (assume a9030 (forall ((A4 tptp.set_int) (F tptp.fun_int_rat)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F X5))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F X5)) tptp.one_one_rat))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1072433553688619179nt_rat F A4)) tptp.one_one_rat)))))
% 16.06/16.30 (assume a9031 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (= (tptp.groups1681761925125756287l_real G (tptp.insert_real X3 A4)) (tptp.groups1681761925125756287l_real G A4))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.groups1681761925125756287l_real G (tptp.insert_real X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real G X3)) (tptp.groups1681761925125756287l_real G A4))))))))
% 16.06/16.30 (assume a9032 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (G tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (= (tptp.groups2440149372559378398l_real G (tptp.insert_bool X3 A4)) (tptp.groups2440149372559378398l_real G A4))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (= (tptp.groups2440149372559378398l_real G (tptp.insert_bool X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_bool_real G X3)) (tptp.groups2440149372559378398l_real G A4))))))))
% 16.06/16.30 (assume a9033 (forall ((A4 tptp.set_int) (X3 tptp.int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)) (= (tptp.groups2316167850115554303t_real G (tptp.insert_int X3 A4)) (tptp.groups2316167850115554303t_real G A4))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (= (tptp.groups2316167850115554303t_real G (tptp.insert_int X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real G X3)) (tptp.groups2316167850115554303t_real G A4))))))))
% 16.06/16.30 (assume a9034 (forall ((A4 tptp.set_nat) (X3 tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4)) (= (tptp.groups129246275422532515t_real G (tptp.insert_nat X3 A4)) (tptp.groups129246275422532515t_real G A4))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4))) (= (tptp.groups129246275422532515t_real G (tptp.insert_nat X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real G X3)) (tptp.groups129246275422532515t_real G A4))))))))
% 16.06/16.30 (assume a9035 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (= (tptp.groups766887009212190081x_real G (tptp.insert_complex X3 A4)) (tptp.groups766887009212190081x_real G A4))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (= (tptp.groups766887009212190081x_real G (tptp.insert_complex X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real G X3)) (tptp.groups766887009212190081x_real G A4))))))))
% 16.06/16.30 (assume a9036 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (= (tptp.groups4061424788464935467al_rat G (tptp.insert_real X3 A4)) (tptp.groups4061424788464935467al_rat G A4))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4))) (= (tptp.groups4061424788464935467al_rat G (tptp.insert_real X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_real_rat G X3)) (tptp.groups4061424788464935467al_rat G A4))))))))
% 16.06/16.30 (assume a9037 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (G tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (= (tptp.groups1259819201609700362ol_rat G (tptp.insert_bool X3 A4)) (tptp.groups1259819201609700362ol_rat G A4))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4))) (= (tptp.groups1259819201609700362ol_rat G (tptp.insert_bool X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_bool_rat G X3)) (tptp.groups1259819201609700362ol_rat G A4))))))))
% 16.06/16.30 (assume a9038 (forall ((A4 tptp.set_int) (X3 tptp.int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)) (= (tptp.groups1072433553688619179nt_rat G (tptp.insert_int X3 A4)) (tptp.groups1072433553688619179nt_rat G A4))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4))) (= (tptp.groups1072433553688619179nt_rat G (tptp.insert_int X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_int_rat G X3)) (tptp.groups1072433553688619179nt_rat G A4))))))))
% 16.06/16.30 (assume a9039 (forall ((A4 tptp.set_nat) (X3 tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4)) (= (tptp.groups73079841787564623at_rat G (tptp.insert_nat X3 A4)) (tptp.groups73079841787564623at_rat G A4))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4))) (= (tptp.groups73079841787564623at_rat G (tptp.insert_nat X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G X3)) (tptp.groups73079841787564623at_rat G A4))))))))
% 16.06/16.30 (assume a9040 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (= (tptp.groups225925009352817453ex_rat G (tptp.insert_complex X3 A4)) (tptp.groups225925009352817453ex_rat G A4))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4))) (= (tptp.groups225925009352817453ex_rat G (tptp.insert_complex X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_complex_rat G X3)) (tptp.groups225925009352817453ex_rat G A4))))))))
% 16.06/16.30 (assume a9041 (forall ((B4 tptp.set_real) (A4 tptp.set_real) (F tptp.fun_real_nat) (G tptp.fun_real_nat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_real_nat F A3)) (tptp.aa_real_nat G A3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups4696554848551431203al_nat F A4)) (tptp.groups4696554848551431203al_nat G B4))))))))
% 16.06/16.30 (assume a9042 (forall ((B4 tptp.set_bool) (A4 tptp.set_bool) (F tptp.fun_bool_nat) (G tptp.fun_bool_nat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_bool_nat F A3)) (tptp.aa_bool_nat G A3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups1894949261696196098ol_nat F A4)) (tptp.groups1894949261696196098ol_nat G B4))))))))
% 16.06/16.30 (assume a9043 (forall ((B4 tptp.set_int) (A4 tptp.set_int) (F tptp.fun_int_nat) (G tptp.fun_int_nat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_int_nat F A3)) (tptp.aa_int_nat G A3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups1707563613775114915nt_nat F A4)) (tptp.groups1707563613775114915nt_nat G B4))))))))
% 16.06/16.30 (assume a9044 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (F tptp.fun_complex_nat) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_complex_nat F A3)) (tptp.aa_complex_nat G A3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups861055069439313189ex_nat F A4)) (tptp.groups861055069439313189ex_nat G B4))))))))
% 16.06/16.30 (assume a9045 (forall ((B4 tptp.set_real) (A4 tptp.set_real) (F tptp.fun_real_int) (G tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_real_int F A3)) (tptp.aa_real_int G A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups4694064378042380927al_int F A4)) (tptp.groups4694064378042380927al_int G B4))))))))
% 16.06/16.30 (assume a9046 (forall ((B4 tptp.set_bool) (A4 tptp.set_bool) (F tptp.fun_bool_int) (G tptp.fun_bool_int)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_bool_int F A3)) (tptp.aa_bool_int G A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups1892458791187145822ol_int F A4)) (tptp.groups1892458791187145822ol_int G B4))))))))
% 16.06/16.30 (assume a9047 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (F tptp.fun_complex_int) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_complex_int F A3)) (tptp.aa_complex_int G A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups858564598930262913ex_int F A4)) (tptp.groups858564598930262913ex_int G B4))))))))
% 16.06/16.30 (assume a9048 (forall ((B4 tptp.set_real) (A4 tptp.set_real) (F tptp.fun_re6978948838062957830nteger) (G tptp.fun_re6978948838062957830nteger)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A4)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_real_Code_integer F A3)) (tptp.aa_real_Code_integer G A3))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.groups6225526099057966256nteger F A4)) (tptp.groups6225526099057966256nteger G B4))))))))
% 16.06/16.30 (assume a9049 (forall ((B4 tptp.set_bool) (A4 tptp.set_bool) (F tptp.fun_bo7282069421189217543nteger) (G tptp.fun_bo7282069421189217543nteger)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) A4)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_bool_Code_integer F A3)) (tptp.aa_bool_Code_integer G A3))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.groups7272450149305381519nteger F A4)) (tptp.groups7272450149305381519nteger G B4))))))))
% 16.06/16.30 (assume a9050 (forall ((B4 tptp.set_int) (A4 tptp.set_int) (F tptp.fun_int_Code_integer) (G tptp.fun_int_Code_integer)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A4)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_int_Code_integer F A3)) (tptp.aa_int_Code_integer G A3))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.groups3827104343326376752nteger F A4)) (tptp.groups3827104343326376752nteger G B4))))))))
% 16.06/16.30 (assume a9051 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups861055069439313189ex_nat F A4)) (tptp.groups861055069439313189ex_nat F B4)))))))
% 16.06/16.30 (assume a9052 (forall ((B4 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr2602117396471556196at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.groups4077766827762148844at_nat F A4)) (tptp.groups4077766827762148844at_nat F B4)))))))
% 16.06/16.30 (assume a9053 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups858564598930262913ex_int F A4)) (tptp.groups858564598930262913ex_int F B4)))))))
% 16.06/16.30 (assume a9054 (forall ((B4 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr7647638413817135296at_int)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups4075276357253098568at_int F A4)) (tptp.groups4075276357253098568at_int F B4)))))))
% 16.06/16.30 (assume a9055 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (F tptp.fun_co8153928105989009288nteger)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.groups8682486955453173170nteger F A4)) (tptp.groups8682486955453173170nteger F B4)))))))
% 16.06/16.30 (assume a9056 (forall ((B4 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr6026251430685297nteger)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat B4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat A4) B4)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.groups1230400874837758585nteger F A4)) (tptp.groups1230400874837758585nteger F B4)))))))
% 16.06/16.30 (assume a9057 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat) (F tptp.fun_nat_Code_integer)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_set871585252387937313nteger (tptp.groups3455450783089532116nteger F) A4)) (tptp.aa_set871585252387937313nteger (tptp.groups3455450783089532116nteger F) B4)))))))
% 16.06/16.30 (assume a9058 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A4)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) B4)))))))
% 16.06/16.30 (assume a9059 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) B4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups705719431365010083at_int F A4)) (tptp.groups705719431365010083at_int F B4)))))))
% 16.06/16.30 (assume a9060 (forall ((B4 tptp.set_int) (A4 tptp.set_int) (F tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.groups1705073143266064639nt_int F A4)) (tptp.groups1705073143266064639nt_int F B4)))))))
% 16.06/16.30 (assume a9061 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_qu G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9062 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_qv G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9063 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_qw G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9064 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_qx G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9065 (forall ((K2 tptp.num)) (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.insert_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_num_nat tptp.pred_numeral K2))))))
% 16.06/16.30 (assume a9066 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_nb G) N)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a9067 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_qy G) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a9068 (forall ((A tptp.rat) (B tptp.rat)) (= (tptp.pp (tptp.aa_set_rat_bool (tptp.ord_less_eq_set_rat (tptp.set_ord_atMost_rat A)) (tptp.set_ord_lessThan_rat B))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B)))))
% 16.06/16.30 (assume a9069 (forall ((A tptp.num) (B tptp.num)) (= (tptp.pp (tptp.aa_set_num_bool (tptp.ord_less_eq_set_num (tptp.set_ord_atMost_num A)) (tptp.set_ord_lessThan_num B))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B)))))
% 16.06/16.30 (assume a9070 (forall ((A tptp.int) (B tptp.int)) (= (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_ord_atMost_int A)) (tptp.set_ord_lessThan_int B))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B)))))
% 16.06/16.30 (assume a9071 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat A)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat B))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)))))
% 16.06/16.30 (assume a9072 (forall ((A tptp.real) (B tptp.real)) (= (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real (tptp.set_ord_atMost_real A)) (tptp.set_or5984915006950818249n_real B))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B)))))
% 16.06/16.30 (assume a9073 (forall ((G tptp.fun_nat_nat) (N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M2)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_je G) N) M2)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M2)))))
% 16.06/16.30 (assume a9074 (forall ((G tptp.fun_nat_int) (N tptp.nat) (M2 tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M2)) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aa_nat1293065384339088724at_int (tptp.aTP_Lamm_qz G) N) M2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M2)))))
% 16.06/16.30 (assume a9075 (forall ((P2 tptp.nat) (K2 tptp.nat) (G tptp.fun_nat_complex) (H tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) P2)) (= (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_ra K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups6464643781859351333omplex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_rb K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.06/16.30 (assume a9076 (forall ((P2 tptp.nat) (K2 tptp.nat) (G tptp.fun_nat_real) (H tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) P2)) (= (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_rc K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_rd K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.06/16.30 (assume a9077 (forall ((P2 tptp.nat) (K2 tptp.nat) (G tptp.fun_nat_rat) (H tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) P2)) (= (tptp.groups73079841787564623at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_re K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups73079841787564623at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_rf K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.06/16.30 (assume a9078 (forall ((P2 tptp.nat) (K2 tptp.nat) (G tptp.fun_nat_nat) (H tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) P2)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_rg K2) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_rh K2) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.06/16.30 (assume a9079 (forall ((P2 tptp.nat) (K2 tptp.nat) (G tptp.fun_nat_int) (H tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) P2)) (= (tptp.groups705719431365010083at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_ri K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups705719431365010083at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_rj K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.06/16.30 (assume a9080 (forall ((I5 tptp.set_real) (I tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real F I))) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups1681761925125756287l_real F I5)))))))))
% 16.06/16.30 (assume a9081 (forall ((I5 tptp.set_bool) (I tptp.bool) (F tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool I5)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) I5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_bool_real F I))) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_bool_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups2440149372559378398l_real F I5)))))))))
% 16.06/16.30 (assume a9082 (forall ((I5 tptp.set_int) (I tptp.int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) I5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_int_real F I))) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_int_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups2316167850115554303t_real F I5)))))))))
% 16.06/16.30 (assume a9083 (forall ((I5 tptp.set_nat) (I tptp.nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I5)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) I5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_nat_real F I))) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups129246275422532515t_real F I5)))))))))
% 16.06/16.30 (assume a9084 (forall ((I5 tptp.set_complex) (I tptp.complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I5)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) I5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_complex_real F I))) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_complex_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups766887009212190081x_real F I5)))))))))
% 16.06/16.30 (assume a9085 (forall ((I5 tptp.set_real) (I tptp.real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I) I5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_real_rat F I))) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_real_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups4061424788464935467al_rat F I5)))))))))
% 16.06/16.30 (assume a9086 (forall ((I5 tptp.set_bool) (I tptp.bool) (F tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool I5)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I) I5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_bool_rat F I))) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_bool_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups1259819201609700362ol_rat F I5)))))))))
% 16.06/16.30 (assume a9087 (forall ((I5 tptp.set_int) (I tptp.int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I5)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I) I5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_int_rat F I))) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_int_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups1072433553688619179nt_rat F I5)))))))))
% 16.06/16.30 (assume a9088 (forall ((I5 tptp.set_nat) (I tptp.nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I5)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I) I5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_nat_rat F I))) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_nat_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups73079841787564623at_rat F I5)))))))))
% 16.06/16.30 (assume a9089 (forall ((I5 tptp.set_complex) (I tptp.complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I5)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I) I5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_complex_rat F I))) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_complex_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups225925009352817453ex_rat F I5)))))))))
% 16.06/16.30 (assume a9090 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_rk M2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc M2)))))
% 16.06/16.30 (assume a9091 (forall ((I5 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (=> (not (= I5 tptp.bot_bot_set_real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups1681761925125756287l_real F I5))))))))
% 16.06/16.30 (assume a9092 (forall ((I5 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I5)) (=> (not (= I5 tptp.bot_bot_set_complex)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_complex_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups766887009212190081x_real F I5))))))))
% 16.06/16.30 (assume a9093 (forall ((I5 tptp.set_bool) (F tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool I5)) (=> (not (= I5 tptp.bot_bot_set_bool)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_bool_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups2440149372559378398l_real F I5))))))))
% 16.06/16.30 (assume a9094 (forall ((I5 tptp.set_nat) (F tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I5)) (=> (not (= I5 tptp.bot_bot_set_nat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_nat_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups129246275422532515t_real F I5))))))))
% 16.06/16.30 (assume a9095 (forall ((I5 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I5)) (=> (not (= I5 tptp.bot_bot_set_int)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_int_real F I3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.groups2316167850115554303t_real F I5))))))))
% 16.06/16.30 (assume a9096 (forall ((I5 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real I5)) (=> (not (= I5 tptp.bot_bot_set_real)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_real_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups4061424788464935467al_rat F I5))))))))
% 16.06/16.30 (assume a9097 (forall ((I5 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex I5)) (=> (not (= I5 tptp.bot_bot_set_complex)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_complex_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups225925009352817453ex_rat F I5))))))))
% 16.06/16.30 (assume a9098 (forall ((I5 tptp.set_bool) (F tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool I5)) (=> (not (= I5 tptp.bot_bot_set_bool)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_bool_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups1259819201609700362ol_rat F I5))))))))
% 16.06/16.30 (assume a9099 (forall ((I5 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat I5)) (=> (not (= I5 tptp.bot_bot_set_nat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_nat_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups73079841787564623at_rat F I5))))))))
% 16.06/16.30 (assume a9100 (forall ((I5 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int I5)) (=> (not (= I5 tptp.bot_bot_set_int)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) I5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_int_rat F I3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.groups1072433553688619179nt_rat F I5))))))))
% 16.06/16.30 (assume a9101 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups766887009212190081x_real G A4) (tptp.aa_real_real (tptp.times_times_real (tptp.groups766887009212190081x_real G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups766887009212190081x_real G B4)))))))
% 16.06/16.30 (assume a9102 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups225925009352817453ex_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups225925009352817453ex_rat G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups225925009352817453ex_rat G B4)))))))
% 16.06/16.30 (assume a9103 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups861055069439313189ex_nat G A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups861055069439313189ex_nat G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups861055069439313189ex_nat G B4)))))))
% 16.06/16.30 (assume a9104 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups858564598930262913ex_int G A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups858564598930262913ex_int G (tptp.minus_811609699411566653omplex A4 B4))) (tptp.groups858564598930262913ex_int G B4)))))))
% 16.06/16.30 (assume a9105 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups129246275422532515t_real G A4) (tptp.aa_real_real (tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.groups129246275422532515t_real G B4)))))))
% 16.06/16.30 (assume a9106 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups73079841787564623at_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.groups73079841787564623at_rat G B4)))))))
% 16.06/16.30 (assume a9107 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) B4)))))))
% 16.06/16.30 (assume a9108 (forall ((B4 tptp.set_nat) (A4 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat B4) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups705719431365010083at_int G A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) B4))) (tptp.groups705719431365010083at_int G B4)))))))
% 16.06/16.30 (assume a9109 (forall ((B4 tptp.set_int) (A4 tptp.set_int) (G tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B4) A4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (= (tptp.groups1705073143266064639nt_int G A4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups1705073143266064639nt_int G (tptp.minus_minus_set_int A4 B4))) (tptp.groups1705073143266064639nt_int G B4)))))))
% 16.06/16.30 (assume a9110 (forall ((B4 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (G tptp.fun_Pr672294278902479040t_real)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat B4) A4)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (= (tptp.groups6036352826371341000t_real G A4) (tptp.aa_real_real (tptp.times_times_real (tptp.groups6036352826371341000t_real G (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.minus_1356011639430497352at_nat A4) B4))) (tptp.groups6036352826371341000t_real G B4)))))))
% 16.06/16.30 (assume a9111 (forall ((T3 tptp.set_real) (S3 tptp.set_real) (G tptp.fun_real_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S3) T3)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real T3 S3))) (= (tptp.aa_real_complex G X5) tptp.one_one_complex))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (= (tptp.aa_real_complex G X5) (tptp.aa_real_complex H X5)))) (= (tptp.groups713298508707869441omplex G T3) (tptp.groups713298508707869441omplex H S3))))))))
% 16.06/16.30 (assume a9112 (forall ((T3 tptp.set_bool) (S3 tptp.set_bool) (G tptp.fun_bool_complex) (H tptp.fun_bool_complex)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool T3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool S3) T3)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool T3 S3))) (= (tptp.aa_bool_complex G X5) tptp.one_one_complex))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (= (tptp.aa_bool_complex G X5) (tptp.aa_bool_complex H X5)))) (= (tptp.groups4392847887476860640omplex G T3) (tptp.groups4392847887476860640omplex H S3))))))))
% 16.06/16.30 (assume a9113 (forall ((T3 tptp.set_int) (S3 tptp.set_int) (G tptp.fun_int_complex) (H tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S3) T3)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.minus_minus_set_int T3 S3))) (= (tptp.aa_int_complex G X5) tptp.one_one_complex))) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) S3)) (= (tptp.aa_int_complex G X5) (tptp.aa_int_complex H X5)))) (= (tptp.groups7440179247065528705omplex G T3) (tptp.groups7440179247065528705omplex H S3))))))))
% 16.06/16.30 (assume a9114 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_complex) (H tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_complex G X5) tptp.one_one_complex))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (= (tptp.aa_complex_complex G X5) (tptp.aa_complex_complex H X5)))) (= (tptp.groups3708469109370488835omplex G T3) (tptp.groups3708469109370488835omplex H S3))))))))
% 16.06/16.30 (assume a9115 (forall ((T3 tptp.set_real) (S3 tptp.set_real) (G tptp.fun_real_real) (H tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S3) T3)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real T3 S3))) (= (tptp.aa_real_real G X5) tptp.one_one_real))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (= (tptp.aa_real_real G X5) (tptp.aa_real_real H X5)))) (= (tptp.groups1681761925125756287l_real G T3) (tptp.groups1681761925125756287l_real H S3))))))))
% 16.06/16.30 (assume a9116 (forall ((T3 tptp.set_bool) (S3 tptp.set_bool) (G tptp.fun_bool_real) (H tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool T3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool S3) T3)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool T3 S3))) (= (tptp.aa_bool_real G X5) tptp.one_one_real))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (= (tptp.aa_bool_real G X5) (tptp.aa_bool_real H X5)))) (= (tptp.groups2440149372559378398l_real G T3) (tptp.groups2440149372559378398l_real H S3))))))))
% 16.06/16.30 (assume a9117 (forall ((T3 tptp.set_int) (S3 tptp.set_int) (G tptp.fun_int_real) (H tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S3) T3)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.minus_minus_set_int T3 S3))) (= (tptp.aa_int_real G X5) tptp.one_one_real))) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) S3)) (= (tptp.aa_int_real G X5) (tptp.aa_int_real H X5)))) (= (tptp.groups2316167850115554303t_real G T3) (tptp.groups2316167850115554303t_real H S3))))))))
% 16.06/16.30 (assume a9118 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_real) (H tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_real G X5) tptp.one_one_real))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (= (tptp.aa_complex_real G X5) (tptp.aa_complex_real H X5)))) (= (tptp.groups766887009212190081x_real G T3) (tptp.groups766887009212190081x_real H S3))))))))
% 16.06/16.30 (assume a9119 (forall ((T3 tptp.set_real) (S3 tptp.set_real) (G tptp.fun_real_rat) (H tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S3) T3)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real T3 S3))) (= (tptp.aa_real_rat G X5) tptp.one_one_rat))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (= (tptp.aa_real_rat G X5) (tptp.aa_real_rat H X5)))) (= (tptp.groups4061424788464935467al_rat G T3) (tptp.groups4061424788464935467al_rat H S3))))))))
% 16.06/16.30 (assume a9120 (forall ((T3 tptp.set_bool) (S3 tptp.set_bool) (G tptp.fun_bool_rat) (H tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool T3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool S3) T3)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool T3 S3))) (= (tptp.aa_bool_rat G X5) tptp.one_one_rat))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (= (tptp.aa_bool_rat G X5) (tptp.aa_bool_rat H X5)))) (= (tptp.groups1259819201609700362ol_rat G T3) (tptp.groups1259819201609700362ol_rat H S3))))))))
% 16.06/16.30 (assume a9121 (forall ((T3 tptp.set_real) (S3 tptp.set_real) (H tptp.fun_real_complex) (G tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S3) T3)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real T3 S3))) (= (tptp.aa_real_complex H X5) tptp.one_one_complex))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (= (tptp.aa_real_complex G X5) (tptp.aa_real_complex H X5)))) (= (tptp.groups713298508707869441omplex G S3) (tptp.groups713298508707869441omplex H T3))))))))
% 16.06/16.30 (assume a9122 (forall ((T3 tptp.set_bool) (S3 tptp.set_bool) (H tptp.fun_bool_complex) (G tptp.fun_bool_complex)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool T3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool S3) T3)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool T3 S3))) (= (tptp.aa_bool_complex H X5) tptp.one_one_complex))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (= (tptp.aa_bool_complex G X5) (tptp.aa_bool_complex H X5)))) (= (tptp.groups4392847887476860640omplex G S3) (tptp.groups4392847887476860640omplex H T3))))))))
% 16.06/16.30 (assume a9123 (forall ((T3 tptp.set_int) (S3 tptp.set_int) (H tptp.fun_int_complex) (G tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S3) T3)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.minus_minus_set_int T3 S3))) (= (tptp.aa_int_complex H X5) tptp.one_one_complex))) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) S3)) (= (tptp.aa_int_complex G X5) (tptp.aa_int_complex H X5)))) (= (tptp.groups7440179247065528705omplex G S3) (tptp.groups7440179247065528705omplex H T3))))))))
% 16.06/16.30 (assume a9124 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (H tptp.fun_complex_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_complex H X5) tptp.one_one_complex))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (= (tptp.aa_complex_complex G X5) (tptp.aa_complex_complex H X5)))) (= (tptp.groups3708469109370488835omplex G S3) (tptp.groups3708469109370488835omplex H T3))))))))
% 16.06/16.30 (assume a9125 (forall ((T3 tptp.set_real) (S3 tptp.set_real) (H tptp.fun_real_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S3) T3)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real T3 S3))) (= (tptp.aa_real_real H X5) tptp.one_one_real))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (= (tptp.aa_real_real G X5) (tptp.aa_real_real H X5)))) (= (tptp.groups1681761925125756287l_real G S3) (tptp.groups1681761925125756287l_real H T3))))))))
% 16.06/16.30 (assume a9126 (forall ((T3 tptp.set_bool) (S3 tptp.set_bool) (H tptp.fun_bool_real) (G tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool T3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool S3) T3)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool T3 S3))) (= (tptp.aa_bool_real H X5) tptp.one_one_real))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (= (tptp.aa_bool_real G X5) (tptp.aa_bool_real H X5)))) (= (tptp.groups2440149372559378398l_real G S3) (tptp.groups2440149372559378398l_real H T3))))))))
% 16.06/16.30 (assume a9127 (forall ((T3 tptp.set_int) (S3 tptp.set_int) (H tptp.fun_int_real) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int T3)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int S3) T3)) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) (tptp.minus_minus_set_int T3 S3))) (= (tptp.aa_int_real H X5) tptp.one_one_real))) (=> (forall ((X5 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X5) S3)) (= (tptp.aa_int_real G X5) (tptp.aa_int_real H X5)))) (= (tptp.groups2316167850115554303t_real G S3) (tptp.groups2316167850115554303t_real H T3))))))))
% 16.06/16.30 (assume a9128 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (H tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_real H X5) tptp.one_one_real))) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) S3)) (= (tptp.aa_complex_real G X5) (tptp.aa_complex_real H X5)))) (= (tptp.groups766887009212190081x_real G S3) (tptp.groups766887009212190081x_real H T3))))))))
% 16.06/16.30 (assume a9129 (forall ((T3 tptp.set_real) (S3 tptp.set_real) (H tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real T3)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real S3) T3)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.minus_minus_set_real T3 S3))) (= (tptp.aa_real_rat H X5) tptp.one_one_rat))) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) S3)) (= (tptp.aa_real_rat G X5) (tptp.aa_real_rat H X5)))) (= (tptp.groups4061424788464935467al_rat G S3) (tptp.groups4061424788464935467al_rat H T3))))))))
% 16.06/16.30 (assume a9130 (forall ((T3 tptp.set_bool) (S3 tptp.set_bool) (H tptp.fun_bool_rat) (G tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool T3)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool S3) T3)) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) (tptp.minus_minus_set_bool T3 S3))) (= (tptp.aa_bool_rat H X5) tptp.one_one_rat))) (=> (forall ((X5 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X5) S3)) (= (tptp.aa_bool_rat G X5) (tptp.aa_bool_rat H X5)))) (= (tptp.groups1259819201609700362ol_rat G S3) (tptp.groups1259819201609700362ol_rat H T3))))))))
% 16.06/16.30 (assume a9131 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_complex G X5) tptp.one_one_complex))) (= (tptp.groups3708469109370488835omplex G T3) (tptp.groups3708469109370488835omplex G S3)))))))
% 16.06/16.30 (assume a9132 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_real G X5) tptp.one_one_real))) (= (tptp.groups766887009212190081x_real G T3) (tptp.groups766887009212190081x_real G S3)))))))
% 16.06/16.30 (assume a9133 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_rat G X5) tptp.one_one_rat))) (= (tptp.groups225925009352817453ex_rat G T3) (tptp.groups225925009352817453ex_rat G S3)))))))
% 16.06/16.30 (assume a9134 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_nat G X5) tptp.one_one_nat))) (= (tptp.groups861055069439313189ex_nat G T3) (tptp.groups861055069439313189ex_nat G S3)))))))
% 16.06/16.30 (assume a9135 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_int G X5) tptp.one_one_int))) (= (tptp.groups858564598930262913ex_int G T3) (tptp.groups858564598930262913ex_int G S3)))))))
% 16.06/16.30 (assume a9136 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_complex G X5) tptp.one_one_complex))) (= (tptp.groups6464643781859351333omplex G T3) (tptp.groups6464643781859351333omplex G S3)))))))
% 16.06/16.30 (assume a9137 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_real G X5) tptp.one_one_real))) (= (tptp.groups129246275422532515t_real G T3) (tptp.groups129246275422532515t_real G S3)))))))
% 16.06/16.30 (assume a9138 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_rat G X5) tptp.one_one_rat))) (= (tptp.groups73079841787564623at_rat G T3) (tptp.groups73079841787564623at_rat G S3)))))))
% 16.06/16.30 (assume a9139 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_nat G X5) tptp.one_one_nat))) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) T3) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) S3)))))))
% 16.06/16.30 (assume a9140 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_int G X5) tptp.one_one_int))) (= (tptp.groups705719431365010083at_int G T3) (tptp.groups705719431365010083at_int G S3)))))))
% 16.06/16.30 (assume a9141 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_complex G X5) tptp.one_one_complex))) (= (tptp.groups3708469109370488835omplex G S3) (tptp.groups3708469109370488835omplex G T3)))))))
% 16.06/16.30 (assume a9142 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_real G X5) tptp.one_one_real))) (= (tptp.groups766887009212190081x_real G S3) (tptp.groups766887009212190081x_real G T3)))))))
% 16.06/16.30 (assume a9143 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_rat G X5) tptp.one_one_rat))) (= (tptp.groups225925009352817453ex_rat G S3) (tptp.groups225925009352817453ex_rat G T3)))))))
% 16.06/16.30 (assume a9144 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_nat G X5) tptp.one_one_nat))) (= (tptp.groups861055069439313189ex_nat G S3) (tptp.groups861055069439313189ex_nat G T3)))))))
% 16.06/16.30 (assume a9145 (forall ((T3 tptp.set_complex) (S3 tptp.set_complex) (G tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex T3)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex S3) T3)) (=> (forall ((X5 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X5) (tptp.minus_811609699411566653omplex T3 S3))) (= (tptp.aa_complex_int G X5) tptp.one_one_int))) (= (tptp.groups858564598930262913ex_int G S3) (tptp.groups858564598930262913ex_int G T3)))))))
% 16.06/16.30 (assume a9146 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_complex)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_complex G X5) tptp.one_one_complex))) (= (tptp.groups6464643781859351333omplex G S3) (tptp.groups6464643781859351333omplex G T3)))))))
% 16.06/16.30 (assume a9147 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_real G X5) tptp.one_one_real))) (= (tptp.groups129246275422532515t_real G S3) (tptp.groups129246275422532515t_real G T3)))))))
% 16.06/16.30 (assume a9148 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_rat G X5) tptp.one_one_rat))) (= (tptp.groups73079841787564623at_rat G S3) (tptp.groups73079841787564623at_rat G T3)))))))
% 16.06/16.30 (assume a9149 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_nat G X5) tptp.one_one_nat))) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) S3) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) T3)))))))
% 16.06/16.30 (assume a9150 (forall ((T3 tptp.set_nat) (S3 tptp.set_nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat T3)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat S3) T3)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X5) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat T3) S3))) (= (tptp.aa_nat_int G X5) tptp.one_one_int))) (= (tptp.groups705719431365010083at_int G S3) (tptp.groups705719431365010083at_int G T3)))))))
% 16.06/16.30 (assume a9151 (forall ((C2 tptp.set_real) (A4 tptp.set_real) (B4 tptp.set_real) (G tptp.fun_real_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B4) C2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C2 A4))) (= (tptp.aa_real_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C2 B4))) (= (tptp.aa_real_complex H B3) tptp.one_one_complex))) (=> (= (tptp.groups713298508707869441omplex G C2) (tptp.groups713298508707869441omplex H C2)) (= (tptp.groups713298508707869441omplex G A4) (tptp.groups713298508707869441omplex H B4))))))))))
% 16.06/16.30 (assume a9152 (forall ((C2 tptp.set_bool) (A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_complex) (H tptp.fun_bool_complex)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) C2)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) (tptp.minus_minus_set_bool C2 A4))) (= (tptp.aa_bool_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool C2 B4))) (= (tptp.aa_bool_complex H B3) tptp.one_one_complex))) (=> (= (tptp.groups4392847887476860640omplex G C2) (tptp.groups4392847887476860640omplex H C2)) (= (tptp.groups4392847887476860640omplex G A4) (tptp.groups4392847887476860640omplex H B4))))))))))
% 16.06/16.30 (assume a9153 (forall ((C2 tptp.set_int) (A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_complex) (H tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B4) C2)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C2 A4))) (= (tptp.aa_int_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C2 B4))) (= (tptp.aa_int_complex H B3) tptp.one_one_complex))) (=> (= (tptp.groups7440179247065528705omplex G C2) (tptp.groups7440179247065528705omplex H C2)) (= (tptp.groups7440179247065528705omplex G A4) (tptp.groups7440179247065528705omplex H B4))))))))))
% 16.06/16.30 (assume a9154 (forall ((C2 tptp.set_complex) (A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_complex) (H tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) C2)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C2 A4))) (= (tptp.aa_complex_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C2 B4))) (= (tptp.aa_complex_complex H B3) tptp.one_one_complex))) (=> (= (tptp.groups3708469109370488835omplex G C2) (tptp.groups3708469109370488835omplex H C2)) (= (tptp.groups3708469109370488835omplex G A4) (tptp.groups3708469109370488835omplex H B4))))))))))
% 16.06/16.30 (assume a9155 (forall ((C2 tptp.set_real) (A4 tptp.set_real) (B4 tptp.set_real) (G tptp.fun_real_real) (H tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B4) C2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C2 A4))) (= (tptp.aa_real_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C2 B4))) (= (tptp.aa_real_real H B3) tptp.one_one_real))) (=> (= (tptp.groups1681761925125756287l_real G C2) (tptp.groups1681761925125756287l_real H C2)) (= (tptp.groups1681761925125756287l_real G A4) (tptp.groups1681761925125756287l_real H B4))))))))))
% 16.06/16.30 (assume a9156 (forall ((C2 tptp.set_bool) (A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_real) (H tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) C2)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) (tptp.minus_minus_set_bool C2 A4))) (= (tptp.aa_bool_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool C2 B4))) (= (tptp.aa_bool_real H B3) tptp.one_one_real))) (=> (= (tptp.groups2440149372559378398l_real G C2) (tptp.groups2440149372559378398l_real H C2)) (= (tptp.groups2440149372559378398l_real G A4) (tptp.groups2440149372559378398l_real H B4))))))))))
% 16.06/16.30 (assume a9157 (forall ((C2 tptp.set_int) (A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_real) (H tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B4) C2)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C2 A4))) (= (tptp.aa_int_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C2 B4))) (= (tptp.aa_int_real H B3) tptp.one_one_real))) (=> (= (tptp.groups2316167850115554303t_real G C2) (tptp.groups2316167850115554303t_real H C2)) (= (tptp.groups2316167850115554303t_real G A4) (tptp.groups2316167850115554303t_real H B4))))))))))
% 16.06/16.30 (assume a9158 (forall ((C2 tptp.set_complex) (A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_real) (H tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) C2)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C2 A4))) (= (tptp.aa_complex_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C2 B4))) (= (tptp.aa_complex_real H B3) tptp.one_one_real))) (=> (= (tptp.groups766887009212190081x_real G C2) (tptp.groups766887009212190081x_real H C2)) (= (tptp.groups766887009212190081x_real G A4) (tptp.groups766887009212190081x_real H B4))))))))))
% 16.06/16.30 (assume a9159 (forall ((C2 tptp.set_real) (A4 tptp.set_real) (B4 tptp.set_real) (G tptp.fun_real_rat) (H tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B4) C2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C2 A4))) (= (tptp.aa_real_rat G A3) tptp.one_one_rat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C2 B4))) (= (tptp.aa_real_rat H B3) tptp.one_one_rat))) (=> (= (tptp.groups4061424788464935467al_rat G C2) (tptp.groups4061424788464935467al_rat H C2)) (= (tptp.groups4061424788464935467al_rat G A4) (tptp.groups4061424788464935467al_rat H B4))))))))))
% 16.06/16.30 (assume a9160 (forall ((C2 tptp.set_bool) (A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_rat) (H tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) C2)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) (tptp.minus_minus_set_bool C2 A4))) (= (tptp.aa_bool_rat G A3) tptp.one_one_rat))) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool C2 B4))) (= (tptp.aa_bool_rat H B3) tptp.one_one_rat))) (=> (= (tptp.groups1259819201609700362ol_rat G C2) (tptp.groups1259819201609700362ol_rat H C2)) (= (tptp.groups1259819201609700362ol_rat G A4) (tptp.groups1259819201609700362ol_rat H B4))))))))))
% 16.06/16.30 (assume a9161 (forall ((C2 tptp.set_real) (A4 tptp.set_real) (B4 tptp.set_real) (G tptp.fun_real_complex) (H tptp.fun_real_complex)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B4) C2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C2 A4))) (= (tptp.aa_real_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C2 B4))) (= (tptp.aa_real_complex H B3) tptp.one_one_complex))) (= (= (tptp.groups713298508707869441omplex G A4) (tptp.groups713298508707869441omplex H B4)) (= (tptp.groups713298508707869441omplex G C2) (tptp.groups713298508707869441omplex H C2))))))))))
% 16.06/16.30 (assume a9162 (forall ((C2 tptp.set_bool) (A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_complex) (H tptp.fun_bool_complex)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) C2)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) (tptp.minus_minus_set_bool C2 A4))) (= (tptp.aa_bool_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool C2 B4))) (= (tptp.aa_bool_complex H B3) tptp.one_one_complex))) (= (= (tptp.groups4392847887476860640omplex G A4) (tptp.groups4392847887476860640omplex H B4)) (= (tptp.groups4392847887476860640omplex G C2) (tptp.groups4392847887476860640omplex H C2))))))))))
% 16.06/16.30 (assume a9163 (forall ((C2 tptp.set_int) (A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_complex) (H tptp.fun_int_complex)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B4) C2)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C2 A4))) (= (tptp.aa_int_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C2 B4))) (= (tptp.aa_int_complex H B3) tptp.one_one_complex))) (= (= (tptp.groups7440179247065528705omplex G A4) (tptp.groups7440179247065528705omplex H B4)) (= (tptp.groups7440179247065528705omplex G C2) (tptp.groups7440179247065528705omplex H C2))))))))))
% 16.06/16.30 (assume a9164 (forall ((C2 tptp.set_complex) (A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_complex) (H tptp.fun_complex_complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) C2)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C2 A4))) (= (tptp.aa_complex_complex G A3) tptp.one_one_complex))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C2 B4))) (= (tptp.aa_complex_complex H B3) tptp.one_one_complex))) (= (= (tptp.groups3708469109370488835omplex G A4) (tptp.groups3708469109370488835omplex H B4)) (= (tptp.groups3708469109370488835omplex G C2) (tptp.groups3708469109370488835omplex H C2))))))))))
% 16.06/16.30 (assume a9165 (forall ((C2 tptp.set_real) (A4 tptp.set_real) (B4 tptp.set_real) (G tptp.fun_real_real) (H tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B4) C2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C2 A4))) (= (tptp.aa_real_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C2 B4))) (= (tptp.aa_real_real H B3) tptp.one_one_real))) (= (= (tptp.groups1681761925125756287l_real G A4) (tptp.groups1681761925125756287l_real H B4)) (= (tptp.groups1681761925125756287l_real G C2) (tptp.groups1681761925125756287l_real H C2))))))))))
% 16.06/16.30 (assume a9166 (forall ((C2 tptp.set_bool) (A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_real) (H tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) C2)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) (tptp.minus_minus_set_bool C2 A4))) (= (tptp.aa_bool_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool C2 B4))) (= (tptp.aa_bool_real H B3) tptp.one_one_real))) (= (= (tptp.groups2440149372559378398l_real G A4) (tptp.groups2440149372559378398l_real H B4)) (= (tptp.groups2440149372559378398l_real G C2) (tptp.groups2440149372559378398l_real H C2))))))))))
% 16.06/16.30 (assume a9167 (forall ((C2 tptp.set_int) (A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_real) (H tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) C2)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int B4) C2)) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) (tptp.minus_minus_set_int C2 A4))) (= (tptp.aa_int_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int C2 B4))) (= (tptp.aa_int_real H B3) tptp.one_one_real))) (= (= (tptp.groups2316167850115554303t_real G A4) (tptp.groups2316167850115554303t_real H B4)) (= (tptp.groups2316167850115554303t_real G C2) (tptp.groups2316167850115554303t_real H C2))))))))))
% 16.06/16.30 (assume a9168 (forall ((C2 tptp.set_complex) (A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_real) (H tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) C2)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex B4) C2)) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) (tptp.minus_811609699411566653omplex C2 A4))) (= (tptp.aa_complex_real G A3) tptp.one_one_real))) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex C2 B4))) (= (tptp.aa_complex_real H B3) tptp.one_one_real))) (= (= (tptp.groups766887009212190081x_real G A4) (tptp.groups766887009212190081x_real H B4)) (= (tptp.groups766887009212190081x_real G C2) (tptp.groups766887009212190081x_real H C2))))))))))
% 16.06/16.30 (assume a9169 (forall ((C2 tptp.set_real) (A4 tptp.set_real) (B4 tptp.set_real) (G tptp.fun_real_rat) (H tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) C2)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real B4) C2)) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) (tptp.minus_minus_set_real C2 A4))) (= (tptp.aa_real_rat G A3) tptp.one_one_rat))) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real C2 B4))) (= (tptp.aa_real_rat H B3) tptp.one_one_rat))) (= (= (tptp.groups4061424788464935467al_rat G A4) (tptp.groups4061424788464935467al_rat H B4)) (= (tptp.groups4061424788464935467al_rat G C2) (tptp.groups4061424788464935467al_rat H C2))))))))))
% 16.06/16.30 (assume a9170 (forall ((C2 tptp.set_bool) (A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_rat) (H tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) C2)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool B4) C2)) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) (tptp.minus_minus_set_bool C2 A4))) (= (tptp.aa_bool_rat G A3) tptp.one_one_rat))) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool C2 B4))) (= (tptp.aa_bool_rat H B3) tptp.one_one_rat))) (= (= (tptp.groups1259819201609700362ol_rat G A4) (tptp.groups1259819201609700362ol_rat H B4)) (= (tptp.groups1259819201609700362ol_rat G C2) (tptp.groups1259819201609700362ol_rat H C2))))))))))
% 16.06/16.30 (assume a9171 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a9172 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a9173 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a9174 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a9175 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.30 (assume a9176 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.30 (assume a9177 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.30 (assume a9178 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.30 (assume a9179 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real G M2)) (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N)))))))
% 16.06/16.30 (assume a9180 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G M2)) (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N)))))))
% 16.06/16.30 (assume a9181 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat G M2)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N)))))))
% 16.06/16.30 (assume a9182 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G M2)) (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) N)))))))
% 16.06/16.30 (assume a9183 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real G tptp.zero_zero_nat)) (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_il G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9184 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G tptp.zero_zero_nat)) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_jq G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9185 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat G tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_is G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9186 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G tptp.zero_zero_nat)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_jr G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9187 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real G M2)) (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_il G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.30 (assume a9188 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G M2)) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_jq G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.30 (assume a9189 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat G M2)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_is G)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.30 (assume a9190 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G M2)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_jr G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))))
% 16.06/16.30 (assume a9191 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat G tptp.zero_zero_nat)) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_jq G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.06/16.30 (assume a9192 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int G tptp.zero_zero_nat)) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_jr G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.06/16.30 (assume a9193 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat G tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_is G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.06/16.30 (assume a9194 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real G tptp.zero_zero_nat)) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_il G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.06/16.30 (assume a9195 (forall ((F tptp.fun_nat_rat) (I tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_nj F) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat I)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat F tptp.zero_zero_nat)) (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc I))))))
% 16.06/16.30 (assume a9196 (forall ((F tptp.fun_nat_int) (I tptp.nat)) (= (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_nk F) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat I)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F tptp.zero_zero_nat)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc I))))))
% 16.06/16.30 (assume a9197 (forall ((F tptp.fun_nat_real) (I tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_nl F) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat I)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real F tptp.zero_zero_nat)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc I))))))
% 16.06/16.30 (assume a9198 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_is G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a9199 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_jr G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a9200 (forall ((C tptp.fun_nat_complex) (N tptp.nat) (D tptp.fun_nat_complex)) (= (forall ((X4 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq C) X4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq D) X4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) N)) (= (tptp.aa_nat_complex C I4) (tptp.aa_nat_complex D I4)))))))
% 16.06/16.30 (assume a9201 (forall ((C tptp.fun_nat_real) (N tptp.nat) (D tptp.fun_nat_real)) (= (forall ((X4 tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io C) X4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io D) X4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) N)) (= (tptp.aa_nat_real C I4) (tptp.aa_nat_real D I4)))))))
% 16.06/16.30 (assume a9202 (forall ((A tptp.fun_nat_int) (B4 tptp.int)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int A N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups3539618377306564664at_int A (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N2))) B4))) (tptp.summable_int A)))))
% 16.06/16.30 (assume a9203 (forall ((A tptp.fun_nat_nat) (B4 tptp.nat)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat A N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N2))) B4))) (tptp.summable_nat A)))))
% 16.06/16.30 (assume a9204 (forall ((A tptp.fun_nat_real) (B4 tptp.real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real A (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N2))) B4))) (tptp.summable_real A)))))
% 16.06/16.30 (assume a9205 (forall ((A tptp.fun_nat_fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_rl A)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_rm A) N)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a9206 (forall ((A tptp.fun_nat_fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_rn A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_rp A) N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a9207 (forall ((L tptp.rat) (U tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat L) U)) (= (tptp.sup_sup_set_rat (tptp.set_ord_lessThan_rat L) (tptp.set_or633870826150836451st_rat L U)) (tptp.set_ord_atMost_rat U)))))
% 16.06/16.30 (assume a9208 (forall ((L tptp.num) (U tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num L) U)) (= (tptp.sup_sup_set_num (tptp.set_ord_lessThan_num L) (tptp.set_or7049704709247886629st_num L U)) (tptp.set_ord_atMost_num U)))))
% 16.06/16.30 (assume a9209 (forall ((L tptp.nat) (U tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat L) U)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat L)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat U)))))
% 16.06/16.30 (assume a9210 (forall ((L tptp.int) (U tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L) U)) (= (tptp.sup_sup_set_int (tptp.set_ord_lessThan_int L) (tptp.set_or1266510415728281911st_int L U)) (tptp.set_ord_atMost_int U)))))
% 16.06/16.30 (assume a9211 (forall ((L tptp.real) (U tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L) U)) (= (tptp.sup_sup_set_real (tptp.set_or5984915006950818249n_real L) (tptp.set_or1222579329274155063t_real L U)) (tptp.set_ord_atMost_real U)))))
% 16.06/16.30 (assume a9212 (forall ((U tptp.bool)) (= (tptp.sup_sup_set_bool (tptp.set_or4454636193642143162n_bool U) (tptp.insert_bool U tptp.bot_bot_set_bool)) (tptp.set_ord_atMost_bool U))))
% 16.06/16.30 (assume a9213 (forall ((U tptp.int)) (= (tptp.sup_sup_set_int (tptp.set_ord_lessThan_int U) (tptp.insert_int U tptp.bot_bot_set_int)) (tptp.set_ord_atMost_int U))))
% 16.06/16.30 (assume a9214 (forall ((U tptp.nat)) (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat U)) (tptp.insert_nat U tptp.bot_bot_set_nat)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat U))))
% 16.06/16.30 (assume a9215 (forall ((U tptp.real)) (= (tptp.sup_sup_set_real (tptp.set_or5984915006950818249n_real U) (tptp.insert_real U tptp.bot_bot_set_real)) (tptp.set_ord_atMost_real U))))
% 16.06/16.30 (assume a9216 (forall ((A4 tptp.set_real) (F tptp.fun_real_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F I3)) (tptp.aa_real_real G I3)))))) (=> (not (= A4 tptp.bot_bot_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups1681761925125756287l_real F A4)) (tptp.groups1681761925125756287l_real G A4))))))))
% 16.06/16.30 (assume a9217 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real F I3)) (tptp.aa_complex_real G I3)))))) (=> (not (= A4 tptp.bot_bot_set_complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups766887009212190081x_real F A4)) (tptp.groups766887009212190081x_real G A4))))))))
% 16.06/16.30 (assume a9218 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_real) (G tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_bool_real F I3)) (tptp.aa_bool_real G I3)))))) (=> (not (= A4 tptp.bot_bot_set_bool)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups2440149372559378398l_real F A4)) (tptp.groups2440149372559378398l_real G A4))))))))
% 16.06/16.30 (assume a9219 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F I3)) (tptp.aa_nat_real G I3)))))) (=> (not (= A4 tptp.bot_bot_set_nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups129246275422532515t_real F A4)) (tptp.groups129246275422532515t_real G A4))))))))
% 16.06/16.30 (assume a9220 (forall ((A4 tptp.set_int) (F tptp.fun_int_real) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) A4)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F I3)) (tptp.aa_int_real G I3)))))) (=> (not (= A4 tptp.bot_bot_set_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups2316167850115554303t_real F A4)) (tptp.groups2316167850115554303t_real G A4))))))))
% 16.06/16.30 (assume a9221 (forall ((A4 tptp.set_real) (F tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (forall ((I3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real I3) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F I3)) (tptp.aa_real_rat G I3)))))) (=> (not (= A4 tptp.bot_bot_set_real)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups4061424788464935467al_rat F A4)) (tptp.groups4061424788464935467al_rat G A4))))))))
% 16.06/16.30 (assume a9222 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (forall ((I3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex I3) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_complex_rat F I3)) (tptp.aa_complex_rat G I3)))))) (=> (not (= A4 tptp.bot_bot_set_complex)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups225925009352817453ex_rat F A4)) (tptp.groups225925009352817453ex_rat G A4))))))))
% 16.06/16.30 (assume a9223 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_rat) (G tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (forall ((I3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool I3) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_bool_rat F I3)) (tptp.aa_bool_rat G I3)))))) (=> (not (= A4 tptp.bot_bot_set_bool)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups1259819201609700362ol_rat F A4)) (tptp.groups1259819201609700362ol_rat G A4))))))))
% 16.06/16.30 (assume a9224 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat I3) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F I3)) (tptp.aa_nat_rat G I3)))))) (=> (not (= A4 tptp.bot_bot_set_nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups73079841787564623at_rat F A4)) (tptp.groups73079841787564623at_rat G A4))))))))
% 16.06/16.30 (assume a9225 (forall ((A4 tptp.set_int) (F tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int I3) A4)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F I3)) (tptp.aa_int_rat G I3)))))) (=> (not (= A4 tptp.bot_bot_set_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.groups1072433553688619179nt_rat F A4)) (tptp.groups1072433553688619179nt_rat G A4))))))))
% 16.06/16.30 (assume a9226 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_Code_integer)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_set871585252387937313nteger (tptp.groups3455450783089532116nteger F) A4))) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A4)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_Code_integer F X4)))))))))
% 16.06/16.30 (assume a9227 (forall ((A4 tptp.set_complex) (F tptp.fun_co8153928105989009288nteger)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups8682486955453173170nteger F A4))) (exists ((X4 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A4)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_com4217951221296830281nteger F X4)))))))))
% 16.06/16.30 (assume a9228 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr6026251430685297nteger)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups1230400874837758585nteger F A4))) (exists ((X4 tptp.product_prod_nat_nat)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) A4)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Pro4764841431850000930nteger F X4)))))))))
% 16.06/16.30 (assume a9229 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups861055069439313189ex_nat F A4))) (exists ((X4 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_nat F X4)))))))))
% 16.06/16.30 (assume a9230 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr2602117396471556196at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups4077766827762148844at_nat F A4))) (exists ((X4 tptp.product_prod_nat_nat)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Pro4243173770044397973at_nat F X4)))))))))
% 16.06/16.30 (assume a9231 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_int)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups858564598930262913ex_int F A4))) (exists ((X4 tptp.complex)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X4) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_int F X4)))))))))
% 16.06/16.30 (assume a9232 (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.fun_Pr7647638413817135296at_int)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat A4)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups4075276357253098568at_int F A4))) (exists ((X4 tptp.product_prod_nat_nat)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X4) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Pro4240683299535347697at_int F X4)))))))))
% 16.06/16.30 (assume a9233 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat F) A4))) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat F X4)))))))))
% 16.06/16.30 (assume a9234 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups705719431365010083at_int F A4))) (exists ((X4 tptp.nat)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int F X4)))))))))
% 16.06/16.30 (assume a9235 (forall ((A4 tptp.set_int) (F tptp.fun_int_int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.groups1705073143266064639nt_int F A4))) (exists ((X4 tptp.int)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X4) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int F X4)))))))))
% 16.06/16.30 (assume a9236 (forall ((R2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_rq R2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat R2) N))) N))))
% 16.06/16.30 (assume a9237 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_real) (X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups766887009212190081x_real G (tptp.insert_complex X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real G X3)) (tptp.groups766887009212190081x_real G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex))))))))
% 16.06/16.30 (assume a9238 (forall ((A4 tptp.set_bool) (G tptp.fun_bool_real) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (= (tptp.groups2440149372559378398l_real G (tptp.insert_bool X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_bool_real G X3)) (tptp.groups2440149372559378398l_real G (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))))))))
% 16.06/16.30 (assume a9239 (forall ((A4 tptp.set_int) (G tptp.fun_int_real) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (= (tptp.groups2316167850115554303t_real G (tptp.insert_int X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real G X3)) (tptp.groups2316167850115554303t_real G (tptp.minus_minus_set_int A4 (tptp.insert_int X3 tptp.bot_bot_set_int))))))))
% 16.06/16.30 (assume a9240 (forall ((A4 tptp.set_nat) (G tptp.fun_nat_real) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups129246275422532515t_real G (tptp.insert_nat X3 A4)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real G X3)) (tptp.groups129246275422532515t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat X3 tptp.bot_bot_set_nat))))))))
% 16.06/16.30 (assume a9241 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_rat) (X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups225925009352817453ex_rat G (tptp.insert_complex X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_complex_rat G X3)) (tptp.groups225925009352817453ex_rat G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex))))))))
% 16.06/16.30 (assume a9242 (forall ((A4 tptp.set_bool) (G tptp.fun_bool_rat) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (= (tptp.groups1259819201609700362ol_rat G (tptp.insert_bool X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_bool_rat G X3)) (tptp.groups1259819201609700362ol_rat G (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))))))))
% 16.06/16.30 (assume a9243 (forall ((A4 tptp.set_int) (G tptp.fun_int_rat) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (= (tptp.groups1072433553688619179nt_rat G (tptp.insert_int X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_int_rat G X3)) (tptp.groups1072433553688619179nt_rat G (tptp.minus_minus_set_int A4 (tptp.insert_int X3 tptp.bot_bot_set_int))))))))
% 16.06/16.30 (assume a9244 (forall ((A4 tptp.set_nat) (G tptp.fun_nat_rat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (= (tptp.groups73079841787564623at_rat G (tptp.insert_nat X3 A4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G X3)) (tptp.groups73079841787564623at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat X3 tptp.bot_bot_set_nat))))))))
% 16.06/16.30 (assume a9245 (forall ((A4 tptp.set_complex) (G tptp.fun_complex_nat) (X3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (= (tptp.groups861055069439313189ex_nat G (tptp.insert_complex X3 A4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_complex_nat G X3)) (tptp.groups861055069439313189ex_nat G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex))))))))
% 16.06/16.30 (assume a9246 (forall ((A4 tptp.set_bool) (G tptp.fun_bool_nat) (X3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (= (tptp.groups1894949261696196098ol_nat G (tptp.insert_bool X3 A4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_bool_nat G X3)) (tptp.groups1894949261696196098ol_nat G (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool))))))))
% 16.06/16.30 (assume a9247 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (= (tptp.groups1681761925125756287l_real G A4) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real G X3)) (tptp.groups1681761925125756287l_real G (tptp.minus_minus_set_real A4 (tptp.insert_real X3 tptp.bot_bot_set_real)))))))))
% 16.06/16.30 (assume a9248 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (= (tptp.groups766887009212190081x_real G A4) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real G X3)) (tptp.groups766887009212190081x_real G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex)))))))))
% 16.06/16.30 (assume a9249 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (G tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (= (tptp.groups2440149372559378398l_real G A4) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_bool_real G X3)) (tptp.groups2440149372559378398l_real G (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool)))))))))
% 16.06/16.30 (assume a9250 (forall ((A4 tptp.set_int) (X3 tptp.int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)) (= (tptp.groups2316167850115554303t_real G A4) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real G X3)) (tptp.groups2316167850115554303t_real G (tptp.minus_minus_set_int A4 (tptp.insert_int X3 tptp.bot_bot_set_int)))))))))
% 16.06/16.30 (assume a9251 (forall ((A4 tptp.set_nat) (X3 tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4)) (= (tptp.groups129246275422532515t_real G A4) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real G X3)) (tptp.groups129246275422532515t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat X3 tptp.bot_bot_set_nat)))))))))
% 16.06/16.30 (assume a9252 (forall ((A4 tptp.set_real) (X3 tptp.real) (G tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X3) A4)) (= (tptp.groups4061424788464935467al_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_real_rat G X3)) (tptp.groups4061424788464935467al_rat G (tptp.minus_minus_set_real A4 (tptp.insert_real X3 tptp.bot_bot_set_real)))))))))
% 16.06/16.30 (assume a9253 (forall ((A4 tptp.set_complex) (X3 tptp.complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex X3) A4)) (= (tptp.groups225925009352817453ex_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_complex_rat G X3)) (tptp.groups225925009352817453ex_rat G (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex X3 tptp.bot_bot_set_complex)))))))))
% 16.06/16.30 (assume a9254 (forall ((A4 tptp.set_bool) (X3 tptp.bool) (G tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) A4)) (= (tptp.groups1259819201609700362ol_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_bool_rat G X3)) (tptp.groups1259819201609700362ol_rat G (tptp.minus_minus_set_bool A4 (tptp.insert_bool X3 tptp.bot_bot_set_bool)))))))))
% 16.06/16.30 (assume a9255 (forall ((A4 tptp.set_int) (X3 tptp.int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int X3) A4)) (= (tptp.groups1072433553688619179nt_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_int_rat G X3)) (tptp.groups1072433553688619179nt_rat G (tptp.minus_minus_set_int A4 (tptp.insert_int X3 tptp.bot_bot_set_int)))))))))
% 16.06/16.30 (assume a9256 (forall ((A4 tptp.set_nat) (X3 tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X3) A4)) (= (tptp.groups73079841787564623at_rat G A4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G X3)) (tptp.groups73079841787564623at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat X3 tptp.bot_bot_set_nat)))))))))
% 16.06/16.30 (assume a9257 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (= (tptp.inf_inf_set_complex A4 B4) tptp.bot_bot_set_complex) (= (tptp.groups766887009212190081x_real G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_real_real (tptp.times_times_real (tptp.groups766887009212190081x_real G A4)) (tptp.groups766887009212190081x_real G B4))))))))
% 16.06/16.30 (assume a9258 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool) (= (tptp.groups2440149372559378398l_real G (tptp.sup_sup_set_bool A4 B4)) (tptp.aa_real_real (tptp.times_times_real (tptp.groups2440149372559378398l_real G A4)) (tptp.groups2440149372559378398l_real G B4))))))))
% 16.06/16.30 (assume a9259 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) tptp.bot_bot_set_nat) (= (tptp.groups129246275422532515t_real G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_real_real (tptp.times_times_real (tptp.groups129246275422532515t_real G A4)) (tptp.groups129246275422532515t_real G B4))))))))
% 16.06/16.30 (assume a9260 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (= (tptp.inf_inf_set_int A4 B4) tptp.bot_bot_set_int) (= (tptp.groups2316167850115554303t_real G (tptp.sup_sup_set_int A4 B4)) (tptp.aa_real_real (tptp.times_times_real (tptp.groups2316167850115554303t_real G A4)) (tptp.groups2316167850115554303t_real G B4))))))))
% 16.06/16.30 (assume a9261 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (= (tptp.inf_inf_set_complex A4 B4) tptp.bot_bot_set_complex) (= (tptp.groups225925009352817453ex_rat G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups225925009352817453ex_rat G A4)) (tptp.groups225925009352817453ex_rat G B4))))))))
% 16.06/16.30 (assume a9262 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool) (= (tptp.groups1259819201609700362ol_rat G (tptp.sup_sup_set_bool A4 B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups1259819201609700362ol_rat G A4)) (tptp.groups1259819201609700362ol_rat G B4))))))))
% 16.06/16.30 (assume a9263 (forall ((A4 tptp.set_nat) (B4 tptp.set_nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat B4)) (=> (= (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.inf_inf_set_nat A4) B4) tptp.bot_bot_set_nat) (= (tptp.groups73079841787564623at_rat G (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat A4) B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups73079841787564623at_rat G A4)) (tptp.groups73079841787564623at_rat G B4))))))))
% 16.06/16.30 (assume a9264 (forall ((A4 tptp.set_int) (B4 tptp.set_int) (G tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (= (tptp.inf_inf_set_int A4 B4) tptp.bot_bot_set_int) (= (tptp.groups1072433553688619179nt_rat G (tptp.sup_sup_set_int A4 B4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups1072433553688619179nt_rat G A4)) (tptp.groups1072433553688619179nt_rat G B4))))))))
% 16.06/16.30 (assume a9265 (forall ((A4 tptp.set_complex) (B4 tptp.set_complex) (G tptp.fun_complex_nat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (= (tptp.inf_inf_set_complex A4 B4) tptp.bot_bot_set_complex) (= (tptp.groups861055069439313189ex_nat G (tptp.sup_sup_set_complex A4 B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups861055069439313189ex_nat G A4)) (tptp.groups861055069439313189ex_nat G B4))))))))
% 16.06/16.30 (assume a9266 (forall ((A4 tptp.set_bool) (B4 tptp.set_bool) (G tptp.fun_bool_nat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (= (tptp.inf_inf_set_bool A4 B4) tptp.bot_bot_set_bool) (= (tptp.groups1894949261696196098ol_nat G (tptp.sup_sup_set_bool A4 B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups1894949261696196098ol_nat G A4)) (tptp.groups1894949261696196098ol_nat G B4))))))))
% 16.06/16.30 (assume a9267 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_rr N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) tptp.one_one_nat)) M2))))
% 16.06/16.30 (assume a9268 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_rr N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M2)) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))))
% 16.06/16.30 (assume a9269 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_real) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_real_real (tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.06/16.30 (assume a9270 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.06/16.30 (assume a9271 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.06/16.30 (assume a9272 (forall ((M2 tptp.nat) (N tptp.nat) (G tptp.fun_nat_int) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N))) (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 16.06/16.30 (assume a9273 (forall ((B tptp.nat) (A tptp.nat) (F tptp.fun_nat_fun_nat_nat) (Acc2 tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat F A) B) Acc2) Acc2)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat F A) B) Acc2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)) B) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F A) Acc2)))))))
% 16.06/16.30 (assume a9274 (forall ((X3 tptp.fun_nat_fun_nat_nat) (Xa2 tptp.nat) (Xb tptp.nat) (Xc tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat X3 Xa2) Xb) Xc) Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xb) Xa2)) (= Y Xc)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xb) Xa2))) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat X3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Xa2) tptp.one_one_nat)) Xb) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat X3 Xa2) Xc))))))))
% 16.06/16.30 (assume a9275 (forall ((S3 tptp.set_real) (A tptp.real) (B tptp.fun_real_real) (C tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S3)) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_kz A) B) C) S3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real B A)) (tptp.groups1681761925125756287l_real C (tptp.minus_minus_set_real S3 (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S3))) (= (tptp.groups1681761925125756287l_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_kz A) B) C) S3) (tptp.groups1681761925125756287l_real C (tptp.minus_minus_set_real S3 (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 16.06/16.30 (assume a9276 (forall ((S3 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_real) (C tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S3)) (= (tptp.groups766887009212190081x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_la A) B) C) S3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real B A)) (tptp.groups766887009212190081x_real C (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S3))) (= (tptp.groups766887009212190081x_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_la A) B) C) S3) (tptp.groups766887009212190081x_real C (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 16.06/16.30 (assume a9277 (forall ((S3 tptp.set_bool) (A tptp.bool) (B tptp.fun_bool_real) (C tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S3)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) S3)) (= (tptp.groups2440149372559378398l_real (tptp.aa_fun8933258245593490108l_real (tptp.aa_fun7752257246785809757l_real (tptp.aTP_Lamm_lh A) B) C) S3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_bool_real B A)) (tptp.groups2440149372559378398l_real C (tptp.minus_minus_set_bool S3 (tptp.insert_bool A tptp.bot_bot_set_bool)))))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) S3))) (= (tptp.groups2440149372559378398l_real (tptp.aa_fun8933258245593490108l_real (tptp.aa_fun7752257246785809757l_real (tptp.aTP_Lamm_lh A) B) C) S3) (tptp.groups2440149372559378398l_real C (tptp.minus_minus_set_bool S3 (tptp.insert_bool A tptp.bot_bot_set_bool)))))))))
% 16.06/16.30 (assume a9278 (forall ((S3 tptp.set_int) (A tptp.int) (B tptp.fun_int_real) (C tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S3)) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aa_fun6524208927192123834t_real (tptp.aTP_Lamm_rs A) B) C) S3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real B A)) (tptp.groups2316167850115554303t_real C (tptp.minus_minus_set_int S3 (tptp.insert_int A tptp.bot_bot_set_int)))))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S3))) (= (tptp.groups2316167850115554303t_real (tptp.aa_fun3252798400008884712t_real (tptp.aa_fun6524208927192123834t_real (tptp.aTP_Lamm_rs A) B) C) S3) (tptp.groups2316167850115554303t_real C (tptp.minus_minus_set_int S3 (tptp.insert_int A tptp.bot_bot_set_int)))))))))
% 16.06/16.30 (assume a9279 (forall ((S3 tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_real) (C tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S3)) (= (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_rt A) B) C) S3) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real B A)) (tptp.groups129246275422532515t_real C (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat S3) (tptp.insert_nat A tptp.bot_bot_set_nat)))))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S3))) (= (tptp.groups129246275422532515t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_rt A) B) C) S3) (tptp.groups129246275422532515t_real C (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat S3) (tptp.insert_nat A tptp.bot_bot_set_nat)))))))))
% 16.06/16.30 (assume a9280 (forall ((S3 tptp.set_real) (A tptp.real) (B tptp.fun_real_rat) (C tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real S3)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S3)) (= (tptp.groups4061424788464935467al_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aa_fun1537150169341160510al_rat (tptp.aTP_Lamm_lb A) B) C) S3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_real_rat B A)) (tptp.groups4061424788464935467al_rat C (tptp.minus_minus_set_real S3 (tptp.insert_real A tptp.bot_bot_set_real)))))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) S3))) (= (tptp.groups4061424788464935467al_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aa_fun1537150169341160510al_rat (tptp.aTP_Lamm_lb A) B) C) S3) (tptp.groups4061424788464935467al_rat C (tptp.minus_minus_set_real S3 (tptp.insert_real A tptp.bot_bot_set_real)))))))))
% 16.06/16.30 (assume a9281 (forall ((S3 tptp.set_complex) (A tptp.complex) (B tptp.fun_complex_rat) (C tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex S3)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S3)) (= (tptp.groups225925009352817453ex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aa_fun530470884365435460ex_rat (tptp.aTP_Lamm_lc A) B) C) S3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_complex_rat B A)) (tptp.groups225925009352817453ex_rat C (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex)))))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) S3))) (= (tptp.groups225925009352817453ex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aa_fun530470884365435460ex_rat (tptp.aTP_Lamm_lc A) B) C) S3) (tptp.groups225925009352817453ex_rat C (tptp.minus_811609699411566653omplex S3 (tptp.insert_complex A tptp.bot_bot_set_complex)))))))))
% 16.06/16.30 (assume a9282 (forall ((S3 tptp.set_bool) (A tptp.bool) (B tptp.fun_bool_rat) (C tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool S3)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) S3)) (= (tptp.groups1259819201609700362ol_rat (tptp.aa_fun224000846028461884ol_rat (tptp.aa_fun1200222457022472201ol_rat (tptp.aTP_Lamm_li A) B) C) S3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_bool_rat B A)) (tptp.groups1259819201609700362ol_rat C (tptp.minus_minus_set_bool S3 (tptp.insert_bool A tptp.bot_bot_set_bool)))))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) S3))) (= (tptp.groups1259819201609700362ol_rat (tptp.aa_fun224000846028461884ol_rat (tptp.aa_fun1200222457022472201ol_rat (tptp.aTP_Lamm_li A) B) C) S3) (tptp.groups1259819201609700362ol_rat C (tptp.minus_minus_set_bool S3 (tptp.insert_bool A tptp.bot_bot_set_bool)))))))))
% 16.06/16.30 (assume a9283 (forall ((S3 tptp.set_int) (A tptp.int) (B tptp.fun_int_rat) (C tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int S3)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S3)) (= (tptp.groups1072433553688619179nt_rat (tptp.aa_fun1481061427733998144nt_rat (tptp.aa_fun2191249852558612414nt_rat (tptp.aTP_Lamm_ru A) B) C) S3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_int_rat B A)) (tptp.groups1072433553688619179nt_rat C (tptp.minus_minus_set_int S3 (tptp.insert_int A tptp.bot_bot_set_int)))))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) S3))) (= (tptp.groups1072433553688619179nt_rat (tptp.aa_fun1481061427733998144nt_rat (tptp.aa_fun2191249852558612414nt_rat (tptp.aTP_Lamm_ru A) B) C) S3) (tptp.groups1072433553688619179nt_rat C (tptp.minus_minus_set_int S3 (tptp.insert_int A tptp.bot_bot_set_int)))))))))
% 16.06/16.30 (assume a9284 (forall ((S3 tptp.set_nat) (A tptp.nat) (B tptp.fun_nat_rat) (C tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S3)) (= (tptp.groups73079841787564623at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_rv A) B) C) S3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat B A)) (tptp.groups73079841787564623at_rat C (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat S3) (tptp.insert_nat A tptp.bot_bot_set_nat)))))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) S3))) (= (tptp.groups73079841787564623at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_rv A) B) C) S3) (tptp.groups73079841787564623at_rat C (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat S3) (tptp.insert_nat A tptp.bot_bot_set_nat)))))))))
% 16.06/16.30 (assume a9285 (forall ((C tptp.fun_nat_complex) (N tptp.nat) (K2 tptp.nat)) (=> (forall ((W2 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq C) W2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_complex C K2) tptp.zero_zero_complex)))))
% 16.06/16.30 (assume a9286 (forall ((C tptp.fun_nat_real) (N tptp.nat) (K2 tptp.nat)) (=> (forall ((W2 tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io C) W2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (= (tptp.aa_nat_real C K2) tptp.zero_zero_real)))))
% 16.06/16.30 (assume a9287 (forall ((C tptp.fun_nat_complex) (N tptp.nat)) (= (forall ((X4 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq C) X4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) N)) (= (tptp.aa_nat_complex C I4) tptp.zero_zero_complex))))))
% 16.06/16.30 (assume a9288 (forall ((C tptp.fun_nat_real) (N tptp.nat)) (= (forall ((X4 tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io C) X4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) N)) (= (tptp.aa_nat_real C I4) tptp.zero_zero_real))))))
% 16.06/16.30 (assume a9289 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat G tptp.zero_zero_nat)) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_jq G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9290 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int G tptp.zero_zero_nat)) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_jr G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9291 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat G tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_is G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9292 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real G tptp.zero_zero_nat)) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_il G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9293 (forall ((F tptp.fun_nat_rat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat F (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.groups2906978787729119204at_rat F (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2))) (tptp.groups2906978787729119204at_rat F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)))))))
% 16.06/16.30 (assume a9294 (forall ((F tptp.fun_nat_int) (M2 tptp.nat) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2))) (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)))))))
% 16.06/16.30 (assume a9295 (forall ((F tptp.fun_nat_nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)))))))
% 16.06/16.30 (assume a9296 (forall ((F tptp.fun_nat_real) (M2 tptp.nat) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2))) (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)))))))
% 16.06/16.30 (assume a9297 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_rw A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) tptp.one_one_complex)) N))))
% 16.06/16.30 (assume a9298 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_rx A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) tptp.one_one_rat)) N))))
% 16.06/16.30 (assume a9299 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ry A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.plus_plus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.one_one_real)) N))))
% 16.06/16.30 (assume a9300 (forall ((G tptp.fun_nat_fun_nat_nat) (N tptp.nat)) (= (tptp.groups977919841031483927at_nat (tptp.produc6842872674320459806at_nat G) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_rz N)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_sb G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9301 (forall ((G tptp.fun_nat_fun_nat_real) (N tptp.nat)) (= (tptp.groups4567486121110086003t_real (tptp.produc1703576794950452218t_real G) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_rz N)))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_sd G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9302 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_mg) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc N)) M2)))))))
% 16.06/16.30 (assume a9303 (forall ((B4 tptp.set_real) (A4 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B4 A4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real F B3))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F A3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups1681761925125756287l_real F A4)) (tptp.groups1681761925125756287l_real F B4)))))))))
% 16.06/16.30 (assume a9304 (forall ((B4 tptp.set_bool) (A4 tptp.set_bool) (F tptp.fun_bool_real)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool B4 A4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_bool_real F B3))))) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_bool_real F A3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2440149372559378398l_real F A4)) (tptp.groups2440149372559378398l_real F B4)))))))))
% 16.06/16.30 (assume a9305 (forall ((B4 tptp.set_int) (A4 tptp.set_int) (F tptp.fun_int_real)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int B4 A4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_int_real F B3))))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F A3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2316167850115554303t_real F A4)) (tptp.groups2316167850115554303t_real F B4)))))))))
% 16.06/16.30 (assume a9306 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (F tptp.fun_complex_real)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex B4 A4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_complex_real F B3))))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F A3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups766887009212190081x_real F A4)) (tptp.groups766887009212190081x_real F B4)))))))))
% 16.06/16.30 (assume a9307 (forall ((B4 tptp.set_real) (A4 tptp.set_real) (F tptp.fun_real_rat)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B4 A4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_real_rat F B3))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F A3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups4061424788464935467al_rat F A4)) (tptp.groups4061424788464935467al_rat F B4)))))))))
% 16.06/16.30 (assume a9308 (forall ((B4 tptp.set_bool) (A4 tptp.set_bool) (F tptp.fun_bool_rat)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool B4 A4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_bool_rat F B3))))) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_bool_rat F A3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1259819201609700362ol_rat F A4)) (tptp.groups1259819201609700362ol_rat F B4)))))))))
% 16.06/16.30 (assume a9309 (forall ((B4 tptp.set_int) (A4 tptp.set_int) (F tptp.fun_int_rat)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int B4)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int A4) B4)) (=> (forall ((B3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int B3) (tptp.minus_minus_set_int B4 A4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_int_rat F B3))))) (=> (forall ((A3 tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A3) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F A3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1072433553688619179nt_rat F A4)) (tptp.groups1072433553688619179nt_rat F B4)))))))))
% 16.06/16.30 (assume a9310 (forall ((B4 tptp.set_complex) (A4 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex B4)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex A4) B4)) (=> (forall ((B3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex B3) (tptp.minus_811609699411566653omplex B4 A4))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_complex_rat F B3))))) (=> (forall ((A3 tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A3) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F A3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups225925009352817453ex_rat F A4)) (tptp.groups225925009352817453ex_rat F B4)))))))))
% 16.06/16.30 (assume a9311 (forall ((B4 tptp.set_real) (A4 tptp.set_real) (F tptp.fun_real_int)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real B4)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.ord_less_eq_set_real A4) B4)) (=> (forall ((B3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real B3) (tptp.minus_minus_set_real B4 A4))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_real_int F B3))))) (=> (forall ((A3 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A3) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_real_int F A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups4694064378042380927al_int F A4)) (tptp.groups4694064378042380927al_int F B4)))))))))
% 16.06/16.30 (assume a9312 (forall ((B4 tptp.set_bool) (A4 tptp.set_bool) (F tptp.fun_bool_int)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool B4)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool A4) B4)) (=> (forall ((B3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool B3) (tptp.minus_minus_set_bool B4 A4))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_bool_int F B3))))) (=> (forall ((A3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A3) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_bool_int F A3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.groups1892458791187145822ol_int F A4)) (tptp.groups1892458791187145822ol_int F B4)))))))))
% 16.06/16.30 (assume a9313 (forall ((A4 tptp.set_real) (F tptp.fun_real_complex) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (not (= (tptp.aa_real_complex F A) tptp.zero_zero_complex)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (= (tptp.groups713298508707869441omplex F (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups713298508707869441omplex F A4)) (tptp.aa_real_complex F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4))) (= (tptp.groups713298508707869441omplex F (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups713298508707869441omplex F A4))))))))
% 16.06/16.30 (assume a9314 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (not (= (tptp.aa_complex_complex F A) tptp.zero_zero_complex)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4)) (= (tptp.groups3708469109370488835omplex F (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups3708469109370488835omplex F A4)) (tptp.aa_complex_complex F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4))) (= (tptp.groups3708469109370488835omplex F (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups3708469109370488835omplex F A4))))))))
% 16.06/16.30 (assume a9315 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_complex) (A tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (not (= (tptp.aa_bool_complex F A) tptp.zero_zero_complex)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4)) (= (tptp.groups4392847887476860640omplex F (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups4392847887476860640omplex F A4)) (tptp.aa_bool_complex F A)))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4))) (= (tptp.groups4392847887476860640omplex F (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool))) (tptp.groups4392847887476860640omplex F A4))))))))
% 16.06/16.30 (assume a9316 (forall ((A4 tptp.set_int) (F tptp.fun_int_complex) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (not (= (tptp.aa_int_complex F A) tptp.zero_zero_complex)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4)) (= (tptp.groups7440179247065528705omplex F (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups7440179247065528705omplex F A4)) (tptp.aa_int_complex F A)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4))) (= (tptp.groups7440179247065528705omplex F (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.groups7440179247065528705omplex F A4))))))))
% 16.06/16.30 (assume a9317 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_complex) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (not (= (tptp.aa_nat_complex F A) tptp.zero_zero_complex)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4)) (= (tptp.groups6464643781859351333omplex F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups6464643781859351333omplex F A4)) (tptp.aa_nat_complex F A)))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4))) (= (tptp.groups6464643781859351333omplex F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.groups6464643781859351333omplex F A4))))))))
% 16.06/16.30 (assume a9318 (forall ((A4 tptp.set_real) (F tptp.fun_real_real) (A tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real A4)) (=> (not (= (tptp.aa_real_real F A) tptp.zero_zero_real)) (and (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4)) (= (tptp.groups1681761925125756287l_real F (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.groups1681761925125756287l_real F A4)) (tptp.aa_real_real F A)))) (=> (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real A) A4))) (= (tptp.groups1681761925125756287l_real F (tptp.minus_minus_set_real A4 (tptp.insert_real A tptp.bot_bot_set_real))) (tptp.groups1681761925125756287l_real F A4))))))))
% 16.06/16.30 (assume a9319 (forall ((A4 tptp.set_complex) (F tptp.fun_complex_real) (A tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex A4)) (=> (not (= (tptp.aa_complex_real F A) tptp.zero_zero_real)) (and (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4)) (= (tptp.groups766887009212190081x_real F (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.groups766887009212190081x_real F A4)) (tptp.aa_complex_real F A)))) (=> (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex A) A4))) (= (tptp.groups766887009212190081x_real F (tptp.minus_811609699411566653omplex A4 (tptp.insert_complex A tptp.bot_bot_set_complex))) (tptp.groups766887009212190081x_real F A4))))))))
% 16.06/16.30 (assume a9320 (forall ((A4 tptp.set_bool) (F tptp.fun_bool_real) (A tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool tptp.finite_finite_bool A4)) (=> (not (= (tptp.aa_bool_real F A) tptp.zero_zero_real)) (and (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4)) (= (tptp.groups2440149372559378398l_real F (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.groups2440149372559378398l_real F A4)) (tptp.aa_bool_real F A)))) (=> (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool A) A4))) (= (tptp.groups2440149372559378398l_real F (tptp.minus_minus_set_bool A4 (tptp.insert_bool A tptp.bot_bot_set_bool))) (tptp.groups2440149372559378398l_real F A4))))))))
% 16.06/16.30 (assume a9321 (forall ((A4 tptp.set_int) (F tptp.fun_int_real) (A tptp.int)) (=> (tptp.pp (tptp.aa_set_int_bool tptp.finite_finite_int A4)) (=> (not (= (tptp.aa_int_real F A) tptp.zero_zero_real)) (and (=> (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4)) (= (tptp.groups2316167850115554303t_real F (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.groups2316167850115554303t_real F A4)) (tptp.aa_int_real F A)))) (=> (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int A) A4))) (= (tptp.groups2316167850115554303t_real F (tptp.minus_minus_set_int A4 (tptp.insert_int A tptp.bot_bot_set_int))) (tptp.groups2316167850115554303t_real F A4))))))))
% 16.06/16.30 (assume a9322 (forall ((A4 tptp.set_nat) (F tptp.fun_nat_real) (A tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat A4)) (=> (not (= (tptp.aa_nat_real F A) tptp.zero_zero_real)) (and (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4)) (= (tptp.groups129246275422532515t_real F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.groups129246275422532515t_real F A4)) (tptp.aa_nat_real F A)))) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A) A4))) (= (tptp.groups129246275422532515t_real F (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat A4) (tptp.insert_nat A tptp.bot_bot_set_nat))) (tptp.groups129246275422532515t_real F A4))))))))
% 16.06/16.30 (assume a9323 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_se M2) N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) M2)))))
% 16.06/16.30 (assume a9324 (forall ((M2 tptp.nat) (N tptp.nat) (R2 tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_sf M2) N) R2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat R2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) R2))))
% 16.06/16.30 (assume a9325 (forall ((X3 tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X3)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a9326 (forall ((X3 tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) X3)) (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a9327 (forall ((X3 tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) X3)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a9328 (forall ((X3 tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) X3)) (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.30 (assume a9329 (forall ((C tptp.fun_nat_complex) (K2 tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_complex C K2) tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_sg C) N))))))))
% 16.06/16.30 (assume a9330 (forall ((C tptp.fun_nat_real) (K2 tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_real C K2) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_nat_fun_real_bool (tptp.aTP_Lamm_sh C) N))))))))
% 16.06/16.30 (assume a9331 (forall ((C tptp.fun_nat_complex) (N tptp.nat)) (= (tptp.pp (tptp.aa_set_complex_bool tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_sg C) N)))) (exists ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) N)) (not (= (tptp.aa_nat_complex C I4) tptp.zero_zero_complex)))))))
% 16.06/16.30 (assume a9332 (forall ((C tptp.fun_nat_real) (N tptp.nat)) (= (tptp.pp (tptp.aa_set_real_bool tptp.finite_finite_real (tptp.collect_real (tptp.aa_nat_fun_real_bool (tptp.aTP_Lamm_sh C) N)))) (exists ((I4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) N)) (not (= (tptp.aa_nat_real C I4) tptp.zero_zero_real)))))))
% 16.06/16.30 (assume a9333 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_si A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.06/16.30 (assume a9334 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_sj A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.06/16.30 (assume a9335 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_sk A)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.06/16.30 (assume a9336 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_sl A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.06/16.30 (assume a9337 (forall ((C tptp.fun_nat_complex) (A tptp.complex) (N tptp.nat)) (=> (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex) (not (forall ((B3 tptp.fun_nat_complex)) (not (forall ((Z4 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq C) Z4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex Z4) A)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq B3) Z4) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))))))
% 16.06/16.30 (assume a9338 (forall ((C tptp.fun_nat_rat) (A tptp.rat) (N tptp.nat)) (=> (= (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_sm C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_rat) (not (forall ((B3 tptp.fun_nat_rat)) (not (forall ((Z4 tptp.rat)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_sm C) Z4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat Z4) A)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_sm B3) Z4) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))))))
% 16.06/16.30 (assume a9339 (forall ((C tptp.fun_nat_int) (A tptp.int) (N tptp.nat)) (=> (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sn C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_int) (not (forall ((B3 tptp.fun_nat_int)) (not (forall ((Z4 tptp.int)) (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sn C) Z4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Z4) A)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sn B3) Z4) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))))))
% 16.06/16.30 (assume a9340 (forall ((C tptp.fun_nat_real) (A tptp.real) (N tptp.nat)) (=> (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real) (not (forall ((B3 tptp.fun_nat_real)) (not (forall ((Z4 tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io C) Z4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real Z4) A)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io B3) Z4) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))))))
% 16.06/16.30 (assume a9341 (forall ((C tptp.fun_nat_complex) (N tptp.nat) (A tptp.complex)) (exists ((B3 tptp.fun_nat_complex)) (forall ((Z4 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq C) Z4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex Z4) A)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq B3) Z4) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))))
% 16.06/16.30 (assume a9342 (forall ((C tptp.fun_nat_rat) (N tptp.nat) (A tptp.rat)) (exists ((B3 tptp.fun_nat_rat)) (forall ((Z4 tptp.rat)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_sm C) Z4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat Z4) A)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_sm B3) Z4) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_sm C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))))
% 16.06/16.30 (assume a9343 (forall ((C tptp.fun_nat_int) (N tptp.nat) (A tptp.int)) (exists ((B3 tptp.fun_nat_int)) (forall ((Z4 tptp.int)) (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sn C) Z4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Z4) A)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sn B3) Z4) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sn C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))))
% 16.06/16.30 (assume a9344 (forall ((C tptp.fun_nat_real) (N tptp.nat) (A tptp.real)) (exists ((B3 tptp.fun_nat_real)) (forall ((Z4 tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io C) Z4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real Z4) A)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io B3) Z4) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io C) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))))
% 16.06/16.30 (assume a9345 (forall ((M2 tptp.nat) (N tptp.nat) (X3 tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X3) M2)) (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2))))))))
% 16.06/16.30 (assume a9346 (forall ((M2 tptp.nat) (N tptp.nat) (X3 tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X3) M2)) (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2))))))))
% 16.06/16.30 (assume a9347 (forall ((M2 tptp.nat) (N tptp.nat) (X3 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups3539618377306564664at_int (tptp.power_power_int X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int X3) M2)) (tptp.groups3539618377306564664at_int (tptp.power_power_int X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2))))))))
% 16.06/16.30 (assume a9348 (forall ((M2 tptp.nat) (N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real X3) M2)) (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2))))))))
% 16.06/16.30 (assume a9349 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N) (tptp.groups73079841787564623at_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_so A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 16.06/16.30 (assume a9350 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) N) (tptp.groups129246275422532515t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_sp A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 16.06/16.30 (assume a9351 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) N) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_sq A) N)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 16.06/16.30 (assume a9352 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) N) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_sr A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 16.06/16.30 (assume a9353 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M2)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_mg) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) M2))))))
% 16.06/16.30 (assume a9354 (forall ((G tptp.fun_nat_fun_nat_nat) (N tptp.nat)) (= (tptp.groups977919841031483927at_nat (tptp.produc6842872674320459806at_nat G) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_ss N)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_sb G)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a9355 (forall ((G tptp.fun_nat_fun_nat_real) (N tptp.nat)) (= (tptp.groups4567486121110086003t_real (tptp.produc1703576794950452218t_real G) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_ss N)))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_sd G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))
% 16.06/16.30 (assume a9356 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))
% 16.06/16.30 (assume a9357 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) N) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_st A) B) N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9358 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat)))))
% 16.06/16.30 (assume a9359 (forall ((G tptp.fun_nat_real) (M2 tptp.nat) (N tptp.nat)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_qu G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.30 (assume a9360 (forall ((G tptp.fun_nat_rat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_qv G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.30 (assume a9361 (forall ((G tptp.fun_nat_nat) (M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_qw G)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.30 (assume a9362 (forall ((G tptp.fun_nat_int) (M2 tptp.nat) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_qx G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M2) N)))))
% 16.06/16.30 (assume a9363 (forall ((F tptp.fun_nat_rat) (A tptp.nat) (B tptp.nat)) (= (tptp.groups2906978787729119204at_rat F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_rat_rat (tptp.set_fo1949268297981939178at_rat (tptp.aTP_Lamm_su F) A B) tptp.zero_zero_rat))))
% 16.06/16.30 (assume a9364 (forall ((F tptp.fun_nat_int) (A tptp.nat) (B tptp.nat)) (= (tptp.groups3539618377306564664at_int F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_int_int (tptp.set_fo2581907887559384638at_int (tptp.aTP_Lamm_sv F) A B) tptp.zero_zero_int))))
% 16.06/16.30 (assume a9365 (forall ((F tptp.fun_nat_nat) (A tptp.nat) (B tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat F) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat (tptp.aTP_Lamm_sw F) A) B) tptp.zero_zero_nat))))
% 16.06/16.30 (assume a9366 (forall ((F tptp.fun_nat_real) (A tptp.nat) (B tptp.nat)) (= (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.set_fo3111899725591712190t_real (tptp.aTP_Lamm_sx F) A) B) tptp.zero_zero_real))))
% 16.06/16.30 (assume a9367 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups2906978787729119204at_rat G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_mc G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9368 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups3539618377306564664at_int G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups3539618377306564664at_int (tptp.aTP_Lamm_md G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9369 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aTP_Lamm_me G)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9370 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real G (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_mf G) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9371 (forall ((M2 tptp.nat) (A tptp.fun_nat_complex) (N tptp.nat) (B tptp.fun_nat_complex) (X3 tptp.complex)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) I3)) (= (tptp.aa_nat_complex A I3) tptp.zero_zero_complex))) (=> (forall ((J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) J2)) (= (tptp.aa_nat_complex B J2) tptp.zero_zero_complex))) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq A) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq B) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_fun3721018923249493343omplex (tptp.aTP_Lamm_sz A) B) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))))))))
% 16.06/16.30 (assume a9372 (forall ((M2 tptp.nat) (A tptp.fun_nat_rat) (N tptp.nat) (B tptp.fun_nat_rat) (X3 tptp.rat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) I3)) (= (tptp.aa_nat_rat A I3) tptp.zero_zero_rat))) (=> (forall ((J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) J2)) (= (tptp.aa_nat_rat B J2) tptp.zero_zero_rat))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_sm A) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2))) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_sm B) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_fun5559679822142647773at_rat (tptp.aTP_Lamm_tb A) B) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))))))))
% 16.06/16.30 (assume a9373 (forall ((M2 tptp.nat) (A tptp.fun_nat_int) (N tptp.nat) (B tptp.fun_nat_int) (X3 tptp.int)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) I3)) (= (tptp.aa_nat_int A I3) tptp.zero_zero_int))) (=> (forall ((J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) J2)) (= (tptp.aa_nat_int B J2) tptp.zero_zero_int))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sn A) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sn B) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_fun2315716387381795033at_int (tptp.aTP_Lamm_td A) B) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))))))))
% 16.06/16.30 (assume a9374 (forall ((M2 tptp.nat) (A tptp.fun_nat_real) (N tptp.nat) (B tptp.fun_nat_real) (X3 tptp.real)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) I3)) (= (tptp.aa_nat_real A I3) tptp.zero_zero_real))) (=> (forall ((J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) J2)) (= (tptp.aa_nat_real B J2) tptp.zero_zero_real))) (= (tptp.aa_real_real (tptp.times_times_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io A) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2))) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io B) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_fun4732485501138722137t_real (tptp.aTP_Lamm_tf A) B) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))))))))
% 16.06/16.30 (assume a9375 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups73079841787564623at_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_so A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.06/16.30 (assume a9376 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups129246275422532515t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_sp A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.06/16.30 (assume a9377 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_sq A) N)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.06/16.30 (assume a9378 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_sr A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 16.06/16.30 (assume a9379 (forall ((C tptp.fun_nat_complex) (N tptp.nat) (K2 tptp.complex)) (= (forall ((X4 tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq C) X4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) K2)) (and (= (tptp.aa_nat_complex C tptp.zero_zero_nat) K2) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))) (= (tptp.aa_nat_complex C X4) tptp.zero_zero_complex)))))))
% 16.06/16.30 (assume a9380 (forall ((C tptp.fun_nat_real) (N tptp.nat) (K2 tptp.real)) (= (forall ((X4 tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io C) X4) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) K2)) (and (= (tptp.aa_nat_real C tptp.zero_zero_nat) K2) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat X4) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))) (= (tptp.aa_nat_real C X4) tptp.zero_zero_real)))))))
% 16.06/16.30 (assume a9381 (forall ((A tptp.complex) (M2 tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_tg A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) M2)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) M2)))))
% 16.06/16.30 (assume a9382 (forall ((A tptp.rat) (M2 tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_th A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) M2)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat A) tptp.one_one_rat)) M2)))))
% 16.06/16.30 (assume a9383 (forall ((A tptp.real) (M2 tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ti A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) M2)) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.minus_minus_real A) tptp.one_one_real)) M2)))))
% 16.06/16.30 (assume a9384 (forall ((A tptp.complex) (B tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B)) N) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_tj A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9385 (forall ((A tptp.rat) (B tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) N) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_tk A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9386 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) N) (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_tl A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9387 (forall ((A tptp.nat) (B tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B)) N) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_st A) B) N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9388 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) N) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_tm A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9389 (forall ((A tptp.rat) (B tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B)) N) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_tn A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9390 (forall ((A tptp.int) (B tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B)) N) (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_to A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9391 (forall ((A tptp.real) (B tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) N) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_tp A) B) N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 16.06/16.30 (assume a9392 (forall ((M2 tptp.nat) (A tptp.fun_nat_nat) (N tptp.nat) (B tptp.fun_nat_nat) (X3 tptp.nat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) I3)) (= (tptp.aa_nat_nat A I3) tptp.zero_zero_nat))) (=> (forall ((J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) J2)) (= (tptp.aa_nat_nat B J2) tptp.zero_zero_nat))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_tq A) X3)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_tq B) X3)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun6650658898577385413at_nat (tptp.aTP_Lamm_ts A) B) X3)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N))))))))
% 16.06/16.30 (assume a9393 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_tt N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) N))))
% 16.06/16.30 (assume a9394 (forall ((A tptp.complex) (K2 tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups6464643781859351333omplex (tptp.aTP_Lamm_tu A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K2))) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat tptp.suc K2))))))
% 16.06/16.30 (assume a9395 (forall ((A tptp.rat) (K2 tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_tv A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K2))) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat tptp.suc K2))))))
% 16.06/16.30 (assume a9396 (forall ((A tptp.real) (K2 tptp.nat)) (= (tptp.aa_nat_real (tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_tw A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K2))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat tptp.suc K2))))))
% 16.06/16.30 (assume a9397 (forall ((A tptp.nat) (K2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gbinomial_nat A) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_tx A)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K2))) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat tptp.suc K2))))))
% 16.06/16.30 (assume a9398 (forall ((A tptp.int) (K2 tptp.nat)) (= (tptp.aa_nat_int (tptp.gbinomial_int A) (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_ty A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K2))) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat tptp.suc K2))))))
% 16.06/16.30 (assume a9399 (forall ((P2 tptp.nat) (K2 tptp.nat) (G tptp.fun_nat_rat) (H tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) P2)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_tz K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups2906978787729119204at_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_rf K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.06/16.30 (assume a9400 (forall ((P2 tptp.nat) (K2 tptp.nat) (G tptp.fun_nat_int) (H tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) P2)) (= (tptp.groups3539618377306564664at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_ua K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups3539618377306564664at_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_rj K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.06/16.30 (assume a9401 (forall ((P2 tptp.nat) (K2 tptp.nat) (G tptp.fun_nat_nat) (H tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) P2)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_ub K2) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_rh K2) G) H)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.06/16.30 (assume a9402 (forall ((P2 tptp.nat) (K2 tptp.nat) (G tptp.fun_nat_real) (H tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) P2)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_uc K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat P2)) (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_rd K2) G) H) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat P2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))))
% 16.06/16.30 (assume a9403 (forall ((M2 tptp.nat) (A tptp.complex) (X3 tptp.complex) (Y tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_ud M2) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_ue M2) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)))))
% 16.06/16.30 (assume a9404 (forall ((M2 tptp.nat) (A tptp.rat) (X3 tptp.rat) (Y tptp.rat)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_uf M2) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_ug M2) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)))))
% 16.06/16.30 (assume a9405 (forall ((M2 tptp.nat) (A tptp.real) (X3 tptp.real) (Y tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_uh M2) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_ui M2) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)))))
% 16.06/16.30 (assume a9406 (forall ((N tptp.nat) (Z tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (= (tptp.aa_nat_int (tptp.power_power_int Z) N) A) (= (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_int5842867502692063756at_int (tptp.aTP_Lamm_uj N) Z) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_int)))))
% 16.06/16.30 (assume a9407 (forall ((N tptp.nat) (Z tptp.complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex Z) N) A) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aTP_Lamm_uk N) Z) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex)))))
% 16.06/16.30 (assume a9408 (forall ((N tptp.nat) (Z tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (= (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Z) N) A) (= (tptp.aa_set871585252387937313nteger (tptp.groups7501900531339628137nteger (tptp.aa_Cod1578151519121547077nteger (tptp.aa_Cod6397266357770349983nteger (tptp.aTP_Lamm_ul N) Z) A)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_z3403309356797280102nteger)))))
% 16.06/16.30 (assume a9409 (forall ((N tptp.nat) (Z tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat Z) N) A) (= (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aTP_Lamm_um N) Z) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_rat)))))
% 16.06/16.30 (assume a9410 (forall ((N tptp.nat) (Z tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (= (tptp.aa_nat_real (tptp.power_power_real Z) N) A) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_un N) Z) A) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real)))))
% 16.06/16.30 (assume a9411 (forall ((X3 tptp.complex) (N tptp.nat)) (and (=> (= X3 tptp.one_one_complex) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))) (=> (not (= X3 tptp.one_one_complex)) (= (tptp.groups2073611262835488442omplex (tptp.power_power_complex X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) X3)))))))
% 16.06/16.30 (assume a9412 (forall ((X3 tptp.rat) (N tptp.nat)) (and (=> (= X3 tptp.one_one_rat) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))) (=> (not (= X3 tptp.one_one_rat)) (= (tptp.groups2906978787729119204at_rat (tptp.power_power_rat X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat tptp.one_one_rat) X3)))))))
% 16.06/16.30 (assume a9413 (forall ((X3 tptp.real) (N tptp.nat)) (and (=> (= X3 tptp.one_one_real) (= (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))) (=> (not (= X3 tptp.one_one_real)) (= (tptp.groups6591440286371151544t_real (tptp.power_power_real X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) X3)))))))
% 16.06/16.30 (assume a9414 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_uo N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_complex))))
% 16.06/16.30 (assume a9415 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.aa_set871585252387937313nteger (tptp.groups7501900531339628137nteger (tptp.aTP_Lamm_up N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_z3403309356797280102nteger))))
% 16.06/16.30 (assume a9416 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_uq N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_rat))))
% 16.06/16.30 (assume a9417 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_ur N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_int))))
% 16.06/16.30 (assume a9418 (forall ((N tptp.nat)) (=> (not (= N tptp.one_one_nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_us N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real))))
% 16.06/16.30 (assume a9419 (forall ((M2 tptp.nat)) (= (tptp.groups2073611262835488442omplex (tptp.aTP_Lamm_ut M2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) M2))))
% 16.06/16.30 (assume a9420 (forall ((M2 tptp.nat)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_uu M2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))))
% 16.06/16.30 (assume a9421 (forall ((M2 tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_uv M2) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) M2))))
% 16.06/16.30 (assume a9422 (forall ((M2 tptp.nat) (A tptp.complex) (X3 tptp.complex) (Y tptp.complex)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_ud M2) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_uw M2) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)))))
% 16.06/16.30 (assume a9423 (forall ((M2 tptp.nat) (A tptp.rat) (X3 tptp.rat) (Y tptp.rat)) (= (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_uf M2) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_ux M2) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)))))
% 16.06/16.30 (assume a9424 (forall ((M2 tptp.nat) (A tptp.real) (X3 tptp.real) (Y tptp.real)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_uh M2) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_uy M2) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)))))
% 16.06/16.30 (assume a9425 (forall ((N tptp.nat) (A tptp.fun_nat_complex) (X3 tptp.complex) (Y tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq A) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq A) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X3) Y)) (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_fun5031706661949900810omplex (tptp.aTP_Lamm_va N) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 16.06/16.30 (assume a9426 (forall ((N tptp.nat) (A tptp.fun_nat_rat) (X3 tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_sm A) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_sm A) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat X3) Y)) (tptp.groups2906978787729119204at_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_fun8528462509625601970at_rat (tptp.aTP_Lamm_vc N) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 16.06/16.30 (assume a9427 (forall ((N tptp.nat) (A tptp.fun_nat_int) (X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sn A) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sn A) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) Y)) (tptp.groups3539618377306564664at_int (tptp.aa_int_fun_nat_int (tptp.aa_int5842867502692063756at_int (tptp.aa_fun7421131748584218370at_int (tptp.aTP_Lamm_ve N) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 16.06/16.30 (assume a9428 (forall ((N tptp.nat) (A tptp.fun_nat_real) (X3 tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N)) (= (tptp.aa_real_real (tptp.minus_minus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io A) X3) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io A) Y) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.minus_minus_real X3) Y)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_fun2548873334967081986t_real (tptp.aTP_Lamm_vg N) A) X3) Y) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)))))))
% 16.06/16.30 (assume a9429 (forall ((M2 tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)) tptp.one_one_nat))) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2)))))
% 16.06/16.30 (assume a9430 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_vh N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))
% 16.06/16.30 (assume a9431 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.groups2906978787729119204at_rat (tptp.aTP_Lamm_vi N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_rat))))
% 16.06/16.30 (assume a9432 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_vj N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_int))))
% 16.06/16.30 (assume a9433 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_vk N) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) tptp.zero_zero_real))))
% 16.06/16.30 (assume a9434 (forall ((X3 tptp.real) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.sin_real X3)) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_pe X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real X3)) N))))))
% 16.06/16.30 (assume a9435 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) N)))
% 16.06/16.30 (assume a9436 (forall ((P tptp.fun_real_bool) (E tptp.real)) (=> (forall ((D4 tptp.real) (E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real D4) E2)) (=> (tptp.pp (tptp.aa_real_bool P D4)) (tptp.pp (tptp.aa_real_bool P E2))))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N2)))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (tptp.pp (tptp.aa_real_bool P E)))))))
% 16.06/16.30 (assume a9437 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.groups705719431365010083at_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J))) (tptp.groups1705073143266064639nt_int tptp.aTP_Lamm_om (tptp.set_or1266510415728281911st_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int I) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J)))))))
% 16.06/16.30 (assume a9438 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.exp_real X3)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.exp_real X3)))))))
% 16.06/16.30 (assume a9439 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real tptp.inverse_inverse_real X3)))))))
% 16.06/16.30 (assume a9440 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X3))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.inverse_inverse_real X3)))))
% 16.06/16.30 (assume a9441 (forall ((X3 tptp.real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X3)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.tan_real X3)))))
% 16.06/16.30 (assume a9442 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.exp_real X3)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.exp_real X3)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9443 (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X3)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real tptp.exp_real X3)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.exp_real X3)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9444 (forall ((Z tptp.complex)) (=> (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z) tptp.one_one_real) (not (forall ((T5 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T5) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (not (= Z (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real tptp.cos_real T5)) (tptp.aa_real_real tptp.sin_real T5)))))))))))
% 16.06/16.30 (assume a9445 (forall ((Y tptp.real)) (= (tptp.aa_real_real tptp.arctan Y) (tptp.the_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_vl Y)))))
% 16.06/16.30 (assume a9446 (forall ((Y tptp.real)) (= (tptp.aa_real_real tptp.arcsin Y) (tptp.the_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_vm Y)))))
% 16.06/16.30 (assume a9447 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (= (tptp.aa_real_complex (tptp.complex2 A) B) (tptp.numera6690914467698888265omplex W)) (and (= A (tptp.aa_num_real tptp.numeral_numeral_real W)) (= B tptp.zero_zero_real)))))
% 16.06/16.30 (assume a9448 (forall ((A tptp.real) (B tptp.real) (W tptp.num)) (= (= (tptp.aa_real_complex (tptp.complex2 A) B) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) (and (= A (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (= B tptp.zero_zero_real)))))
% 16.06/16.30 (assume a9449 (forall ((A tptp.real) (B tptp.real)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_real_complex (tptp.complex2 A) B)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.divide_divide_real A) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real B) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real B)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real B) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a9450 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_real_complex (tptp.complex2 X3) Y)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9451 (= (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.the_real tptp.aTP_Lamm_vn)))
% 16.06/16.30 (assume a9452 (= tptp.pi (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.the_real tptp.aTP_Lamm_vn))))
% 16.06/16.30 (assume a9453 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real tptp.cosh_real (tptp.aa_real_real tptp.ln_ln_real X3)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real X3) (tptp.aa_real_real tptp.inverse_inverse_real X3))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.30 (assume a9454 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real tptp.sinh_real (tptp.aa_real_real tptp.ln_ln_real X3)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real X3) (tptp.aa_real_real tptp.inverse_inverse_real X3))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.30 (assume a9455 (forall ((X3 tptp.real) (I tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) I)) (= (tptp.aa_real_real (tptp.powr_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real I)) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_int_nat tptp.nat2 I)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) I))) (= (tptp.aa_real_real (tptp.powr_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real I)) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int I))))))))))
% 16.06/16.30 (assume a9456 (forall ((L tptp.int) (K2 tptp.int) (N tptp.nat) (M2 tptp.nat)) (and (=> (or (= (tptp.aa_int_int tptp.sgn_sgn_int L) tptp.zero_zero_int) (= (tptp.aa_int_int tptp.sgn_sgn_int K2) tptp.zero_zero_int) (= N tptp.zero_zero_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int K2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) tptp.zero_zero_int)) (=> (not (or (= (tptp.aa_int_int tptp.sgn_sgn_int L) tptp.zero_zero_int) (= (tptp.aa_int_int tptp.sgn_sgn_int K2) tptp.zero_zero_int) (= N tptp.zero_zero_nat))) (and (=> (= (tptp.aa_int_int tptp.sgn_sgn_int K2) (tptp.aa_int_int tptp.sgn_sgn_int L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int K2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N)))) (=> (not (= (tptp.aa_int_int tptp.sgn_sgn_int K2) (tptp.aa_int_int tptp.sgn_sgn_int L))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int K2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N)) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat N) M2)))))))))))))
% 16.06/16.30 (assume a9457 (forall ((X3 tptp.real)) (=> (not (= X3 tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) X3)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real X3)) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.arctan X3))))))
% 16.06/16.30 (assume a9458 (forall ((K2 tptp.num)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_num_int tptp.numeral_numeral_int K2)) (tptp.aa_num_nat tptp.numeral_numeral_nat K2))))
% 16.06/16.30 (assume a9459 (= (tptp.aa_int_nat tptp.nat2 tptp.one_one_int) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 16.06/16.30 (assume a9460 (forall ((K2 tptp.num)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) tptp.zero_zero_nat)))
% 16.06/16.30 (assume a9461 (forall ((V2 tptp.num) (V3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) (tptp.aa_num_nat tptp.numeral_numeral_nat V3)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) (tptp.aa_num_int tptp.numeral_numeral_int V3))))))
% 16.06/16.30 (assume a9462 (forall ((Y tptp.int) (X3 tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_nat tptp.nat2 Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)))))
% 16.06/16.30 (assume a9463 (forall ((X3 tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N) (tptp.aa_int_nat tptp.nat2 Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N) Y))))
% 16.06/16.30 (assume a9464 (forall ((X3 tptp.real) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim7802044766580827645g_real X3))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real A))))))
% 16.06/16.30 (assume a9465 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) Z)))))
% 16.06/16.30 (assume a9466 (forall ((V2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) tptp.one_one_nat) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int V2)) tptp.one_one_int)))))
% 16.06/16.30 (assume a9467 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N)) (tptp.aa_int_nat tptp.nat2 A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)) A)))))
% 16.06/16.30 (assume a9468 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))))))
% 16.06/16.30 (assume a9469 (forall ((A tptp.int) (X3 tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N))))))
% 16.06/16.30 (assume a9470 (forall ((X3 tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X3)) N)) (tptp.aa_int_nat tptp.nat2 A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X3)) N)) A)))))
% 16.06/16.30 (assume a9471 (forall ((X tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat X) (tptp.aa_int_nat tptp.nat2 (tptp.aa_num_int tptp.numeral_numeral_int X)))))
% 16.06/16.30 (assume a9472 (forall ((X3 tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 X3)) (tptp.aa_int_nat tptp.nat2 Y))))))
% 16.06/16.30 (assume a9473 (forall ((X3 tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 X3)) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 16.06/16.30 (assume a9474 (forall ((A tptp.nat) (B tptp.nat)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B))))
% 16.06/16.30 (assume a9475 (forall ((X tptp.nat) (Xa tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Xa) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa))))))
% 16.06/16.30 (assume a9476 (forall ((W tptp.int) (Z tptp.int)) (=> (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) W)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 W)) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z))))))
% 16.06/16.30 (assume a9477 (forall ((K2 tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_int_nat tptp.nat2 K2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) K2))))))
% 16.06/16.30 (assume a9478 (forall ((Z tptp.int) (Z5 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z5)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) Z5)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_int_nat tptp.nat2 Z)) (tptp.aa_int_nat tptp.nat2 Z5)))))))
% 16.06/16.30 (assume a9479 (forall ((X tptp.nat)) (= (tptp.aa_nat_nat tptp.suc X) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) tptp.one_one_int)))))
% 16.06/16.30 (assume a9480 (forall ((K2 tptp.int) (L tptp.int)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K2) L)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K2))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L)))))))
% 16.06/16.30 (assume a9481 (forall ((Z tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_nat_int (tptp.power_power_int Z) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_int_nat tptp.nat2 Z)) N)))))
% 16.06/16.30 (assume a9482 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N)))) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) N)))))
% 16.06/16.30 (assume a9483 (forall ((X3 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X3)) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real A)))))))
% 16.06/16.30 (assume a9484 (forall ((L tptp.int) (K2 tptp.int)) (and (=> (= L tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) L) tptp.zero_zero_int)) (=> (not (= L tptp.zero_zero_int)) (and (=> (= (tptp.aa_int_int tptp.sgn_sgn_int K2) (tptp.aa_int_int tptp.sgn_sgn_int L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) L) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K2))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L)))))) (=> (not (= (tptp.aa_int_int tptp.sgn_sgn_int K2) (tptp.aa_int_int tptp.sgn_sgn_int L))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) L) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K2))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L)))) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K2)))))))))))))
% 16.06/16.30 (assume a9485 (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.06/16.30 (assume a9486 (forall ((A tptp.real) (N tptp.nat) (X3 tptp.real) (B tptp.real)) (=> (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real A)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N)) X3) (=> (= X3 (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real B)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real B)) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B))))))
% 16.06/16.30 (assume a9487 (forall ((Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_int_nat tptp.nat2 Z)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) Z))))))
% 16.06/16.30 (assume a9488 (forall ((A tptp.nat) (B tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B))) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B))))))
% 16.06/16.30 (assume a9489 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N)))) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real X3)) N)))))
% 16.06/16.30 (assume a9490 (forall ((R2 tptp.int) (L tptp.int) (K2 tptp.int) (Q3 tptp.int)) (=> (= (tptp.aa_int_int tptp.sgn_sgn_int R2) (tptp.aa_int_int tptp.sgn_sgn_int L)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int R2)) (tptp.aa_int_int tptp.abs_abs_int L))) (=> (= K2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q3) L)) R2)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int K2 L) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q3) R2))))))))
% 16.06/16.30 (assume a9491 (forall ((A1 tptp.int) (A22 tptp.int) (A32 tptp.product_prod_int_int)) (= (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int A1 A22) A32)) (or (exists ((K3 tptp.int)) (and (= A1 K3) (= A22 tptp.zero_zero_int) (= A32 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) K3)))) (exists ((L4 tptp.int) (K3 tptp.int) (Q4 tptp.int)) (and (= A1 K3) (= A22 L4) (= A32 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q4) tptp.zero_zero_int)) (not (= L4 tptp.zero_zero_int)) (= K3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q4) L4)))) (exists ((R5 tptp.int) (L4 tptp.int) (K3 tptp.int) (Q4 tptp.int)) (and (= A1 K3) (= A22 L4) (= A32 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q4) R5)) (= (tptp.aa_int_int tptp.sgn_sgn_int R5) (tptp.aa_int_int tptp.sgn_sgn_int L4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int R5)) (tptp.aa_int_int tptp.abs_abs_int L4))) (= K3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q4) L4)) R5))))))))
% 16.06/16.30 (assume a9492 (forall ((A1 tptp.int) (A22 tptp.int) (A32 tptp.product_prod_int_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.eucl_rel_int A1 A22) A32)) (=> (=> (= A22 tptp.zero_zero_int) (not (= A32 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) A1)))) (=> (forall ((Q2 tptp.int)) (=> (= A32 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q2) tptp.zero_zero_int)) (=> (not (= A22 tptp.zero_zero_int)) (not (= A1 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q2) A22)))))) (not (forall ((R3 tptp.int) (Q2 tptp.int)) (=> (= A32 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Q2) R3)) (=> (= (tptp.aa_int_int tptp.sgn_sgn_int R3) (tptp.aa_int_int tptp.sgn_sgn_int A22)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int R3)) (tptp.aa_int_int tptp.abs_abs_int A22))) (not (= A1 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q2) A22)) R3)))))))))))))
% 16.06/16.30 (assume a9493 (forall ((K2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_nat tptp.nat2 K2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2))))))
% 16.06/16.30 (assume a9494 (forall ((X3 tptp.real) (N tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) N)) (= (tptp.aa_real_real (tptp.powr_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_int_nat tptp.nat2 N)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) N))) (= (tptp.aa_real_real (tptp.powr_real X3) (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int N))))))))))
% 16.06/16.30 (assume a9495 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.imaginary_unit) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N))))
% 16.06/16.30 (assume a9496 (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.imaginary_unit) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 16.06/16.30 (assume a9497 (= (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) tptp.one_one_complex))
% 16.06/16.30 (assume a9498 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.06/16.30 (assume a9499 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 16.06/16.30 (assume a9500 (forall ((Z tptp.complex) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex N)) tptp.imaginary_unit)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) Z))) (tptp.numera6690914467698888265omplex N)))))
% 16.06/16.30 (assume a9501 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X3)))))
% 16.06/16.30 (assume a9502 (forall ((X3 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X3))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X3)))))
% 16.06/16.30 (assume a9503 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y)))))
% 16.06/16.30 (assume a9504 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y)))))
% 16.06/16.30 (assume a9505 (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_complex))
% 16.06/16.30 (assume a9506 (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi))) tptp.imaginary_unit)) tptp.one_one_complex))
% 16.06/16.30 (assume a9507 (= (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.imaginary_unit))
% 16.06/16.30 (assume a9508 (= (tptp.aa_real_complex tptp.cis (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.imaginary_unit)))
% 16.06/16.30 (assume a9509 (forall ((W tptp.num)) (not (= tptp.imaginary_unit (tptp.numera6690914467698888265omplex W)))))
% 16.06/16.30 (assume a9510 (forall ((W tptp.num)) (not (= tptp.imaginary_unit (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))))))
% 16.06/16.30 (assume a9511 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex tptp.cis A)) N) (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) A)))))
% 16.06/16.30 (assume a9512 (forall ((M2 tptp.nat) (N tptp.nat)) (and (=> (= M2 tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat M2) N) N)) (=> (not (= M2 tptp.zero_zero_nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat M2) N) M2)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat M2) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 16.06/16.30 (assume a9513 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat M2) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fequal_bool (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a9514 (= (tptp.aa_complex_real tptp.arg (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.imaginary_unit)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.30 (assume a9515 (= (tptp.aa_complex_real tptp.arg tptp.imaginary_unit) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.30 (assume a9516 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_set_complex_bool (tptp.bij_betw_nat_complex (tptp.aTP_Lamm_vo N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.collect_complex (tptp.aTP_Lamm_ev N)))))))
% 16.06/16.30 (assume a9517 (= (tptp.aa_complex_complex tptp.csqrt tptp.imaginary_unit) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) tptp.imaginary_unit)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.30 (assume a9518 (forall ((Z tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.csqrt Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Z)))
% 16.06/16.30 (assume a9519 (forall ((X3 tptp.int) (N tptp.nat) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int X3) Y)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 16.06/16.30 (assume a9520 (forall ((K2 tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int K2) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fequal_bool (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L)))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a9521 (forall ((C tptp.complex) (N tptp.nat)) (=> (not (= C tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_set_complex_bool (tptp.bij_be1856998921033663316omplex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex C)))) (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_complex_real tptp.arg C)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))) (tptp.collect_complex (tptp.aTP_Lamm_ev N))) (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_vp C) N))))))))
% 16.06/16.30 (assume a9522 (forall ((K2 tptp.int) (L tptp.int)) (and (=> (= K2 (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int K2) L) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int L))) (=> (not (= K2 (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (and (=> (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int K2) L) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K2))) (=> (not (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (and (=> (= K2 tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int K2) L) L)) (=> (not (= K2 tptp.zero_zero_int)) (and (=> (= L tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int K2) L) K2)) (=> (not (= L tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int K2) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))))))
% 16.06/16.30 (assume a9523 (forall ((N tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real N) tptp.ring_1_Ints_real)) (= (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) N)) tptp.one_one_complex))))
% 16.06/16.30 (assume a9524 (forall ((Bs tptp.list_bool)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups4048646594741130792ol_int tptp.zero_n2684676970156552555ol_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)) Bs)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.size_size_list_bool Bs))))))
% 16.06/16.30 (assume a9525 (forall ((X3 tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) X3) X3)))
% 16.06/16.30 (assume a9526 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3)) N) X3)))))
% 16.06/16.30 (assume a9527 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.one_one_int))))))
% 16.06/16.30 (assume a9528 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.one_one_int))))))
% 16.06/16.30 (assume a9529 (forall ((N tptp.nat) (X3 tptp.real) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.power_power_real X3) K2)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3)) K2)))))
% 16.06/16.30 (assume a9530 (= tptp.sqrt (tptp.aa_nat_fun_real_real tptp.root (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 16.06/16.30 (assume a9531 (forall ((K2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K2)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.30 (assume a9532 (forall ((K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K2))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2))))))
% 16.06/16.30 (assume a9533 (forall ((N tptp.nat) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.power_power_real Y) N))) (tptp.aa_real_real tptp.abs_abs_real Y)))))
% 16.06/16.30 (assume a9534 (forall ((M2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2)))))
% 16.06/16.30 (assume a9535 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) tptp.one_one_int)))
% 16.06/16.30 (assume a9536 (forall ((M2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int))))
% 16.06/16.30 (assume a9537 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))))))
% 16.06/16.30 (assume a9538 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg M2) N))))))
% 16.06/16.30 (assume a9539 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N) M2))))))
% 16.06/16.30 (assume a9540 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg M2) N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.06/16.30 (assume a9541 (forall ((N tptp.nat) (N5 tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N5) X3)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3))))))))
% 16.06/16.30 (assume a9542 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3)) N) X3)))))
% 16.06/16.30 (assume a9543 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.power_power_real X3) N)) X3)))))
% 16.06/16.30 (assume a9544 (forall ((N tptp.nat) (Y tptp.real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (= (tptp.aa_nat_real (tptp.power_power_real Y) N) X3) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3) Y))))))
% 16.06/16.30 (assume a9545 (forall ((N tptp.nat) (X3 tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3)) N) X3))))
% 16.06/16.30 (assume a9546 (forall ((N tptp.nat) (Y tptp.real) (X3 tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (= (tptp.aa_nat_real (tptp.power_power_real Y) N) X3) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3) Y)))))
% 16.06/16.30 (assume a9547 (forall ((N tptp.nat) (X3 tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.power_power_real X3) N)) X3))))
% 16.06/16.30 (assume a9548 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.06/16.30 (assume a9549 (forall ((M2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2)))))
% 16.06/16.30 (assume a9550 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))))))
% 16.06/16.30 (assume a9551 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) tptp.zero_zero_int)))
% 16.06/16.30 (assume a9552 (forall ((M2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.zero_zero_int))))
% 16.06/16.30 (assume a9553 (forall ((N tptp.nat) (N5 tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N5) X3)))))))))
% 16.06/16.30 (assume a9554 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.06/16.30 (assume a9555 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.06/16.30 (assume a9556 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 16.06/16.30 (assume a9557 (forall ((N tptp.nat) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real Y)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real Y)) N))) Y))))
% 16.06/16.30 (assume a9558 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3))) N)) X3))))
% 16.06/16.30 (assume a9559 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M2))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))))
% 16.06/16.30 (assume a9560 (forall ((P tptp.fun_real_bool) (N tptp.nat) (X3 tptp.real)) (= (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3))) (and (=> (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_real_bool P tptp.zero_zero_real))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (forall ((Y4 tptp.real)) (=> (= (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real Y4)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real Y4)) N)) X3) (tptp.pp (tptp.aa_real_bool P Y4)))))))))
% 16.06/16.30 (assume a9561 (forall ((N tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real N) tptp.ring_1_Ints_real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) N)) tptp.zero_zero_real))))
% 16.06/16.30 (assume a9562 (forall ((N tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real N) tptp.ring_1_Ints_real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) N)) tptp.one_one_real))))
% 16.06/16.30 (assume a9563 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))))
% 16.06/16.30 (assume a9564 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))))
% 16.06/16.30 (assume a9565 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M2))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))))
% 16.06/16.30 (assume a9566 (forall ((K2 tptp.int)) (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a9567 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_mg) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) tptp.one_one_nat)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a9568 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M2) (tptp.aa_nat_nat tptp.suc M2)) (tptp.insert_nat M2 tptp.bot_bot_set_nat))))
% 16.06/16.30 (assume a9569 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))
% 16.06/16.30 (assume a9570 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat L) (tptp.aa_nat_nat tptp.suc U)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U))))
% 16.06/16.30 (assume a9571 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M2) tptp.zero_zero_nat) tptp.bot_bot_set_nat)))
% 16.06/16.30 (assume a9572 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat N (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)))))
% 16.06/16.30 (assume a9573 (forall ((M2 tptp.nat) (K2 tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int M2) K2)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)))))))
% 16.06/16.30 (assume a9574 (forall ((M2 tptp.nat) (Q3 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat M2) Q3)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat Q3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)))))))
% 16.06/16.30 (assume a9575 (forall ((N5 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat N5) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat N5)))))
% 16.06/16.30 (assume a9576 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.sup_sup_set_nat (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat I) J)) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat J) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K2)))))))
% 16.06/16.30 (assume a9577 (forall ((M2 tptp.nat) (N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M2) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat N (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M2) N)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N))) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M2) (tptp.aa_nat_nat tptp.suc N)) tptp.bot_bot_set_nat)))))
% 16.06/16.30 (assume a9578 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat tptp.suc) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))
% 16.06/16.30 (assume a9579 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat tptp.suc) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))
% 16.06/16.30 (assume a9580 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.30 (assume a9581 (forall ((N tptp.nat) (K2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.30 (assume a9582 (forall ((M2 tptp.nat) (K2 tptp.num)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_num_nat tptp.pred_numeral K2))) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.insert_nat (tptp.aa_num_nat tptp.pred_numeral K2) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M2) (tptp.aa_num_nat tptp.pred_numeral K2))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) (tptp.aa_num_nat tptp.pred_numeral K2)))) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) tptp.bot_bot_set_nat)))))
% 16.06/16.30 (assume a9583 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.30 (assume a9584 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat)))))
% 16.06/16.30 (assume a9585 (forall ((K2 tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K2)) tptp.one_one_nat))))
% 16.06/16.30 (assume a9586 (forall ((N tptp.nat) (A tptp.fun_nat_nat) (B tptp.fun_nat_nat)) (=> (forall ((I3 tptp.nat) (J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I3) J2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat A I3)) (tptp.aa_nat_nat A J2)))))) (=> (forall ((I3 tptp.nat) (J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I3) J2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat B J2)) (tptp.aa_nat_nat B I3)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_vq A) B)) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat A) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat B) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)))))))))
% 16.06/16.30 (assume a9587 (forall ((X6 tptp.fun_nat_real)) (= (tptp.topolo4055970368930404560y_real X6) (forall ((J3 tptp.nat)) (exists ((M8 tptp.nat)) (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M8) M5)) (forall ((N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M8) N4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real X6 M5)) (tptp.aa_nat_real X6 N4)))) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc J3))))))))))))))
% 16.06/16.30 (assume a9588 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_nat tptp.size_size_VEBT_VEBT (tptp.vEBT_Node X11 X12 X13 X14)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.size_list_VEBT_VEBT tptp.size_size_VEBT_VEBT X13)) (tptp.aa_VEBT_VEBT_nat tptp.size_size_VEBT_VEBT X14))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.30 (assume a9589 (= tptp.code_Target_positive tptp.numeral_numeral_int))
% 16.06/16.30 (assume a9590 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.csqrt Z)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.30 (assume a9591 (forall ((V2 tptp.num)) (= (tptp.aa_complex_real tptp.re (tptp.numera6690914467698888265omplex V2)) (tptp.aa_num_real tptp.numeral_numeral_real V2))))
% 16.06/16.30 (assume a9592 (forall ((Z tptp.complex) (W tptp.num)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.numera6690914467698888265omplex W))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.06/16.30 (assume a9593 (forall ((N tptp.nat) (A tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) A)) (tptp.aa_complex_real tptp.re (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex tptp.cis A)) N)))))
% 16.06/16.30 (assume a9594 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_nat tptp.vEBT_size_VEBT (tptp.vEBT_Node X11 X12 X13 X14)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.size_list_VEBT_VEBT tptp.vEBT_size_VEBT X13)) (tptp.aa_VEBT_VEBT_nat tptp.vEBT_size_VEBT X14))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.30 (assume a9595 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex tptp.csqrt Z) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.if_real (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real (tptp.aa_complex_real tptp.im Z)) tptp.zero_zero_real) tptp.one_one_real) (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_complex_real tptp.im Z)))) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a9596 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex tptp.csqrt Z)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.if_real (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real (tptp.aa_complex_real tptp.im Z)) tptp.zero_zero_real) tptp.one_one_real) (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_complex_real tptp.im Z)))) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9597 (forall ((X3 tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X3) Y) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real tptp.re X3)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real tptp.im X3)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real tptp.im X3)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real tptp.re X3)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a9598 (forall ((X3 tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_complex_real tptp.im X3) tptp.zero_zero_real) (= (tptp.aa_complex_real tptp.im (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) tptp.zero_zero_real))))
% 16.06/16.30 (assume a9599 (forall ((V2 tptp.num)) (= (tptp.aa_complex_real tptp.im (tptp.numera6690914467698888265omplex V2)) tptp.zero_zero_real)))
% 16.06/16.30 (assume a9600 (forall ((X3 tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_complex_real tptp.im X3) tptp.zero_zero_real) (= (tptp.aa_complex_real tptp.re (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re X3)) N)))))
% 16.06/16.30 (assume a9601 (forall ((Z tptp.complex) (W tptp.num)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.numera6690914467698888265omplex W))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 16.06/16.30 (assume a9602 (forall ((N tptp.nat) (A tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) A)) (tptp.aa_complex_real tptp.im (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex tptp.cis A)) N)))))
% 16.06/16.30 (assume a9603 (forall ((X21 tptp.bool) (X222 tptp.bool)) (= (tptp.aa_VEBT_VEBT_nat tptp.vEBT_size_VEBT (tptp.vEBT_Leaf X21 X222)) tptp.zero_zero_nat)))
% 16.06/16.30 (assume a9604 (forall ((Z tptp.complex)) (= (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.30 (assume a9605 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.re X3))) (tptp.aa_complex_real tptp.im X3)))))
% 16.06/16.30 (assume a9606 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_nat_complex (tptp.power_power_complex X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.30 (assume a9607 (forall ((Z tptp.complex)) (= (= Z tptp.zero_zero_complex) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real))))
% 16.06/16.30 (assume a9608 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9609 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X3)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_complex_real tptp.re X3)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9610 (forall ((Z tptp.complex)) (= (not (= Z tptp.zero_zero_complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a9611 (forall ((X3 tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X3) Y)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real tptp.re X3)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real tptp.im X3)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9612 (forall ((W tptp.complex) (Z tptp.complex)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex W) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (=> (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re W))) (and (= (tptp.aa_complex_real tptp.re W) tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im W))))) (= (tptp.aa_complex_complex tptp.csqrt Z) W)))))
% 16.06/16.30 (assume a9613 (forall ((B tptp.complex)) (=> (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re B))) (and (= (tptp.aa_complex_real tptp.re B) tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im B))))) (= (tptp.aa_complex_complex tptp.csqrt (tptp.aa_nat_complex (tptp.power_power_complex B) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) B))))
% 16.06/16.30 (assume a9614 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X3)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.im X3))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9615 (forall ((X3 tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X3) Y)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real tptp.im X3)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real tptp.re X3)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9616 (forall ((Z tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re Z))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.im Z)))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))
% 16.06/16.30 (assume a9617 (forall ((Z tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))
% 16.06/16.30 (assume a9618 (forall ((X3 tptp.complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X3) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_complex_real tptp.re X3)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.im X3))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im X3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a9619 (forall ((R2 tptp.complex) (Z tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex R2) tptp.real_V2521375963428798218omplex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex R2) Z)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.re R2))) (tptp.aa_complex_real tptp.im Z))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9620 (forall ((R2 tptp.complex) (Z tptp.complex)) (=> (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex R2) tptp.real_V2521375963428798218omplex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex R2) Z)) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real tptp.re R2)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9621 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj Z)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9622 (forall ((X3 tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex tptp.cnj (tptp.aa_nat_complex (tptp.power_power_complex X3) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cnj X3)) N))))
% 16.06/16.30 (assume a9623 (forall ((W tptp.num)) (= (tptp.aa_complex_complex tptp.cnj (tptp.numera6690914467698888265omplex W)) (tptp.numera6690914467698888265omplex W))))
% 16.06/16.30 (assume a9624 (forall ((W tptp.num)) (= (tptp.aa_complex_complex tptp.cnj (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)))))
% 16.06/16.30 (assume a9625 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj Z))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.30 (assume a9626 (forall ((Z tptp.complex)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj Z)))))
% 16.06/16.30 (assume a9627 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_complex_complex tptp.cnj Z)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.re Z))))))
% 16.06/16.30 (assume a9628 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex Z) (tptp.aa_complex_complex tptp.cnj Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.im Z)))) tptp.imaginary_unit))))
% 16.06/16.30 (assume a9629 (forall ((A tptp.complex) (B tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B))) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9630 (forall ((Z tptp.complex) (W tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj W))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cnj Z)) W)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj W))))))))
% 16.06/16.30 (assume a9631 (forall ((L tptp.num) (Qr tptp.produc8923325533196201883nteger)) (= (tptp.unique4921790084139445826nteger L Qr) (tptp.produc6916734918728496179nteger (tptp.aTP_Lamm_fy L) Qr))))
% 16.06/16.30 (assume a9632 (forall ((U tptp.nat)) (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat U)) (tptp.aa_nat_nat tptp.suc U))))
% 16.06/16.30 (assume a9633 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_eq N))) (tptp.aa_nat_nat tptp.suc N))))
% 16.06/16.30 (assume a9634 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc U)) L))))
% 16.06/16.30 (assume a9635 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.unique3479559517661332726nteger M2 N) (tptp.produc1086072967326762835nteger (tptp.divide6298287555418463151nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N)) (tptp.modulo364778990260209775nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger M2) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))))))
% 16.06/16.30 (assume a9636 (forall ((Nat tptp.nat)) (= (not (= Nat tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.case_nat_bool tptp.fFalse tptp.aTP_Lamm_vr) Nat)))))
% 16.06/16.30 (assume a9637 (forall ((Nat tptp.nat)) (= (= Nat tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.case_nat_bool tptp.fTrue tptp.aTP_Lamm_ch) Nat)))))
% 16.06/16.30 (assume a9638 (forall ((M7 tptp.set_nat) (I tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) M7))) (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_vs M7) I))) (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_vt M7) I)))))))
% 16.06/16.30 (assume a9639 (forall ((M7 tptp.set_nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) M7)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_vs M7) I)))) (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_vt M7) I)))))))
% 16.06/16.30 (assume a9640 (forall ((M7 tptp.set_nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) M7)) (not (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_vt M7) I))) tptp.zero_zero_nat)))))
% 16.06/16.30 (assume a9641 (forall ((A4 tptp.set_nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat A4) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) (tptp.aa_set_nat_nat tptp.finite_card_nat A4))))) (= A4 (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K2) (tptp.aa_set_nat_nat tptp.finite_card_nat A4)))))))
% 16.06/16.30 (assume a9642 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc M2)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.case_nat_bool tptp.fFalse (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2)) N)))))
% 16.06/16.30 (assume a9643 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat tptp.suc N)) M2) (tptp.aa_nat_nat (tptp.case_nat_nat (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_vu N)) M2))))
% 16.06/16.30 (assume a9644 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat M2) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.case_nat_nat (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_vv N)) M2))))
% 16.06/16.30 (assume a9645 (forall ((N5 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat N5) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_set_nat_nat tptp.finite_card_nat N5)) N)))))
% 16.06/16.30 (assume a9646 (forall ((S3 tptp.set_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_mg) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_set_nat_nat tptp.finite_card_nat S3)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_mg) S3)))))
% 16.06/16.30 (assume a9647 (forall ((C tptp.complex) (N tptp.nat)) (=> (not (= C tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.finite_card_complex (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_vp C) N))) N)))))
% 16.06/16.30 (assume a9648 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.finite_card_complex (tptp.collect_complex (tptp.aTP_Lamm_ev N))) N))))
% 16.06/16.30 (assume a9649 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.case_nat_nat tptp.zero_zero_nat tptp.aTP_Lamm_mg) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)))))
% 16.06/16.30 (assume a9650 (forall ((K2 tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int)) (= (tptp.aa_int_Code_integer tptp.code_integer_of_int K2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_int_Code_integer tptp.code_integer_of_int (tptp.aa_int_int tptp.uminus_uminus_int K2))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K2) tptp.zero_zero_int))) (and (=> (= K2 tptp.zero_zero_int) (= (tptp.aa_int_Code_integer tptp.code_integer_of_int K2) tptp.zero_z3403309356797280102nteger)) (=> (not (= K2 tptp.zero_zero_int)) (= (tptp.aa_int_Code_integer tptp.code_integer_of_int K2) (tptp.if_Code_integer (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_Code_integer tptp.code_integer_of_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_Code_integer tptp.code_integer_of_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_Code_integer)))))))))
% 16.06/16.30 (assume a9651 (= tptp.code_positive tptp.numera6620942414471956472nteger))
% 16.06/16.30 (assume a9652 (forall ((K2 tptp.code_integer)) (= (tptp.code_bit_cut_integer K2) (tptp.produc5135875973608410785r_bool (tptp.divide6298287555418463151nteger K2 (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) K2))))))
% 16.06/16.30 (assume a9653 (forall ((K2 tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger K2) tptp.one_one_Code_integer)) (= (tptp.code_num_of_integer K2) tptp.one)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger K2) tptp.one_one_Code_integer))) (= (tptp.code_num_of_integer K2) (tptp.produc7336495610019696514er_num tptp.aTP_Lamm_vw (tptp.code_divmod_integer K2 (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a9654 (forall ((K2 tptp.code_integer) (L tptp.code_integer)) (= (tptp.code_divmod_integer K2 L) (tptp.produc1086072967326762835nteger (tptp.divide6298287555418463151nteger K2 L) (tptp.modulo364778990260209775nteger K2 L)))))
% 16.06/16.30 (assume a9655 (forall ((K2 tptp.code_integer)) (and (=> (= K2 tptp.zero_z3403309356797280102nteger) (= (tptp.code_bit_cut_integer K2) (tptp.produc5135875973608410785r_bool tptp.zero_z3403309356797280102nteger tptp.fFalse))) (=> (not (= K2 tptp.zero_z3403309356797280102nteger)) (= (tptp.code_bit_cut_integer K2) (tptp.produc6117575242473779287r_bool (tptp.aTP_Lamm_vx K2) (tptp.code_divmod_abs K2 (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a9656 (forall ((K2 tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger K2) tptp.zero_z3403309356797280102nteger)) (= (tptp.aa_Code_integer_nat tptp.code_nat_of_integer K2) tptp.zero_zero_nat)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger K2) tptp.zero_z3403309356797280102nteger))) (= (tptp.aa_Code_integer_nat tptp.code_nat_of_integer K2) (tptp.produc1555791787009142072er_nat tptp.aTP_Lamm_vy (tptp.code_divmod_integer K2 (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.30 (assume a9657 (forall ((K2 tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger K2) tptp.zero_z3403309356797280102nteger)) (= (tptp.code_int_of_integer K2) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.code_int_of_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger K2))))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger K2) tptp.zero_z3403309356797280102nteger))) (and (=> (= K2 tptp.zero_z3403309356797280102nteger) (= (tptp.code_int_of_integer K2) tptp.zero_zero_int)) (=> (not (= K2 tptp.zero_z3403309356797280102nteger)) (= (tptp.code_int_of_integer K2) (tptp.produc1553301316500091796er_int tptp.aTP_Lamm_vz (tptp.code_divmod_integer K2 (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.06/16.30 (assume a9658 (forall ((K2 tptp.num)) (= (tptp.code_int_of_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger K2)) (tptp.aa_num_int tptp.numeral_numeral_int K2))))
% 16.06/16.30 (assume a9659 (forall ((K2 tptp.num)) (= (tptp.aa_Code_integer_nat tptp.code_nat_of_integer (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger K2)) (tptp.aa_num_nat tptp.numeral_numeral_nat K2))))
% 16.06/16.30 (assume a9660 (forall ((J tptp.code_integer)) (= (tptp.code_divmod_abs J tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.abs_abs_Code_integer J)))))
% 16.06/16.30 (assume a9661 (forall ((J tptp.code_integer)) (= (tptp.code_divmod_abs tptp.zero_z3403309356797280102nteger J) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger tptp.zero_z3403309356797280102nteger))))
% 16.06/16.30 (assume a9662 (forall ((K2 tptp.code_integer) (L tptp.code_integer)) (= (tptp.code_divmod_abs K2 L) (tptp.produc1086072967326762835nteger (tptp.divide6298287555418463151nteger (tptp.abs_abs_Code_integer K2) (tptp.abs_abs_Code_integer L)) (tptp.modulo364778990260209775nteger (tptp.abs_abs_Code_integer K2) (tptp.abs_abs_Code_integer L))))))
% 16.06/16.30 (assume a9663 (forall ((Nat tptp.nat)) (= (tptp.aa_nat_nat tptp.pred Nat) (tptp.aa_nat_nat (tptp.case_nat_nat tptp.zero_zero_nat tptp.aTP_Lamm_mg) Nat))))
% 16.06/16.30 (assume a9664 (forall ((K2 tptp.code_integer) (L tptp.code_integer)) (and (=> (= K2 tptp.zero_z3403309356797280102nteger) (= (tptp.code_divmod_integer K2 L) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger tptp.zero_z3403309356797280102nteger))) (=> (not (= K2 tptp.zero_z3403309356797280102nteger)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) L)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) K2)) (= (tptp.code_divmod_integer K2 L) (tptp.code_divmod_abs K2 L))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) K2))) (= (tptp.code_divmod_integer K2 L) (tptp.produc6916734918728496179nteger (tptp.aTP_Lamm_wa L) (tptp.code_divmod_abs K2 L)))))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) L))) (and (=> (= L tptp.zero_z3403309356797280102nteger) (= (tptp.code_divmod_integer K2 L) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger K2))) (=> (not (= L tptp.zero_z3403309356797280102nteger)) (= (tptp.code_divmod_integer K2 L) (tptp.aa_Pro4693618923521437820nteger (tptp.aa_fun2509385170507305080nteger tptp.produc6499014454317279255nteger tptp.uminus1351360451143612070nteger) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger K2) tptp.zero_z3403309356797280102nteger) (tptp.code_divmod_abs K2 L) (tptp.produc6916734918728496179nteger (tptp.aTP_Lamm_wb L) (tptp.code_divmod_abs K2 L)))))))))))))
% 16.06/16.30 (assume a9665 (forall ((X3 tptp.nat)) (= (tptp.bezw X3 tptp.zero_zero_nat) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.zero_zero_int))))
% 16.06/16.30 (assume a9666 (forall ((L tptp.num) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K2)))) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc K2)))))))
% 16.06/16.30 (assume a9667 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K2)))) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))))))
% 16.06/16.30 (assume a9668 (forall ((L tptp.num) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K2)))) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))))))
% 16.06/16.30 (assume a9669 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K2)))) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc K2)))))))
% 16.06/16.30 (assume a9670 (forall ((N tptp.nat) (K2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) K2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.30 (assume a9671 (= (tptp.aa_set_nat_nat tptp.complete_Sup_Sup_nat tptp.bot_bot_set_nat) tptp.zero_zero_nat))
% 16.06/16.30 (assume a9672 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se8570568707652914677it_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_bool_nat tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 16.06/16.30 (assume a9673 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se8570568707652914677it_nat N) M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 16.06/16.30 (assume a9674 (forall ((K2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_Pro4243173770044397973at_nat tptp.product_snd_nat_nat (tptp.unique5055182867167087721od_nat tptp.one K2)))))
% 16.06/16.30 (assume a9675 (forall ((M2 tptp.nat) (K2 tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) K2)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.nat_prod_decode_aux K2) M2) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K2) M2)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) K2))) (= (tptp.aa_nat7603221163087113075at_nat (tptp.nat_prod_decode_aux K2) M2) (tptp.aa_nat7603221163087113075at_nat (tptp.nat_prod_decode_aux (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) (tptp.aa_nat_nat tptp.suc K2))))))))
% 16.06/16.30 (assume a9676 (forall ((X3 tptp.nat) (Xa2 tptp.nat) (Y tptp.product_prod_nat_nat)) (=> (= (tptp.aa_nat7603221163087113075at_nat (tptp.nat_prod_decode_aux X3) Xa2) Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa2) X3)) (= Y (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X3) Xa2)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa2) X3))) (= Y (tptp.aa_nat7603221163087113075at_nat (tptp.nat_prod_decode_aux (tptp.aa_nat_nat tptp.suc X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Xa2) (tptp.aa_nat_nat tptp.suc X3)))))))))
% 16.06/16.30 (assume a9677 (forall ((K2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_Pro4243173770044397973at_nat tptp.product_fst_nat_nat (tptp.unique5055182867167087721od_nat tptp.one K2)))))
% 16.06/16.30 (assume a9678 (forall ((K5 tptp.set_nat)) (=> (not (= K5 tptp.bot_bot_set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_set_nat_nat tptp.complete_Inf_Inf_nat K5)) K5)))))
% 16.06/16.30 (assume a9679 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.adjust_mod (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.product_snd_int_int (tptp.unique5052692396658037445od_int tptp.one N))))))
% 16.06/16.30 (assume a9680 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.adjust_mod (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.product_snd_int_int (tptp.unique5052692396658037445od_int tptp.one N)))))))
% 16.06/16.30 (assume a9681 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.adjust_mod (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.product_snd_int_int (tptp.unique5052692396658037445od_int M2 N))))))
% 16.06/16.30 (assume a9682 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.adjust_mod (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.product_snd_int_int (tptp.unique5052692396658037445od_int M2 N)))))))
% 16.06/16.30 (assume a9683 (forall ((Y tptp.nat) (X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) Y)) (= (tptp.bezw X3 Y) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.product_snd_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Y)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.product_fst_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Y)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Y)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X3) Y)))))))))
% 16.06/16.30 (assume a9684 (forall ((X3 tptp.nat) (Xa2 tptp.nat) (Y tptp.product_prod_int_int)) (=> (= (tptp.bezw X3 Xa2) Y) (and (=> (= Xa2 tptp.zero_zero_nat) (= Y (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.zero_zero_int))) (=> (not (= Xa2 tptp.zero_zero_nat)) (= Y (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.product_snd_int_int (tptp.bezw Xa2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Xa2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.product_fst_int_int (tptp.bezw Xa2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Xa2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw Xa2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Xa2)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X3) Xa2)))))))))))
% 16.06/16.30 (assume a9685 (forall ((Y tptp.nat) (X3 tptp.nat)) (and (=> (= Y tptp.zero_zero_nat) (= (tptp.bezw X3 Y) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.zero_zero_int))) (=> (not (= Y tptp.zero_zero_nat)) (= (tptp.bezw X3 Y) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.product_snd_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Y)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.product_fst_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Y)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Y)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X3) Y))))))))))
% 16.06/16.30 (assume a9686 (forall ((X3 tptp.nat) (Xa2 tptp.nat) (Y tptp.product_prod_int_int)) (=> (= (tptp.bezw X3 Xa2) Y) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.bezw_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) Xa2))) (not (=> (and (=> (= Xa2 tptp.zero_zero_nat) (= Y (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.zero_zero_int))) (=> (not (= Xa2 tptp.zero_zero_nat)) (= Y (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.product_snd_int_int (tptp.bezw Xa2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Xa2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.product_fst_int_int (tptp.bezw Xa2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Xa2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw Xa2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Xa2)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X3) Xa2)))))))) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.bezw_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) Xa2))))))))))
% 16.06/16.30 (assume a9687 (forall ((X3 tptp.nat) (Xa2 tptp.nat) (Y tptp.product_prod_nat_nat)) (=> (= (tptp.aa_nat7603221163087113075at_nat (tptp.nat_prod_decode_aux X3) Xa2) Y) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.nat_pr5047031295181774490ux_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) Xa2))) (not (=> (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa2) X3)) (= Y (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X3) Xa2)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa2) X3))) (= Y (tptp.aa_nat7603221163087113075at_nat (tptp.nat_prod_decode_aux (tptp.aa_nat_nat tptp.suc X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Xa2) (tptp.aa_nat_nat tptp.suc X3)))))) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.nat_pr5047031295181774490ux_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) Xa2))))))))))
% 16.06/16.30 (assume a9688 (forall ((X3 tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_maxt X3) Y) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) X3)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (= Y tptp.none_nat))))) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) (tptp.vEBT_Leaf A3 B3))))))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)) (=> (= Y tptp.none_nat) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2)) (=> (= Y (tptp.some_nat Ma2)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2))))))))))))))
% 16.06/16.30 (assume a9689 (forall ((X3 tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_mint X3) Y) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) X3)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (and (=> (tptp.pp A3) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A3)) (and (=> (tptp.pp B3) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B3)) (= Y tptp.none_nat))))) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) (tptp.vEBT_Leaf A3 B3))))))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)) (=> (= Y tptp.none_nat) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Ux2 tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2)) (=> (= Y (tptp.some_nat Mi2)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux2 Uy2 Uz2))))))))))))))
% 16.06/16.30 (assume a9690 (forall ((N tptp.nat) (P tptp.fun_nat_bool) (M2 tptp.nat)) (=> (forall ((K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)) (tptp.pp (tptp.aa_nat_bool P K)))) (=> (forall ((K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (=> (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) I2)) (tptp.pp (tptp.aa_nat_bool P I2)))) (tptp.pp (tptp.aa_nat_bool P K))))) (tptp.pp (tptp.aa_nat_bool P M2))))))
% 16.06/16.30 (assume a9691 (forall ((X3 tptp.vEBT_VEBT) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X3)) (tptp.pp Y)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) X3)) (=> (=> (= X3 (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (=> (tptp.pp Y) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))))) (=> (forall ((Uv tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf tptp.fTrue Uv)) (=> (not (tptp.pp Y)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Leaf tptp.fTrue Uv))))))) (=> (forall ((Uu tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf Uu tptp.fTrue)) (=> (not (tptp.pp Y)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Leaf Uu tptp.fTrue))))))) (=> (forall ((Uw tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw Ux2 Uy2)) (=> (tptp.pp Y) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw Ux2 Uy2))))))) (not (forall ((Uz2 tptp.product_prod_nat_nat) (Va2 tptp.nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va2 Vb2 Vc2)) (=> (not (tptp.pp Y)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va2 Vb2 Vc2))))))))))))))))
% 16.06/16.30 (assume a9692 (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X3)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) X3)) (=> (=> (= X3 (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse))))) (not (forall ((Uw tptp.nat) (Ux2 tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw Ux2 Uy2)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uw Ux2 Uy2))))))))))))
% 16.06/16.30 (assume a9693 (forall ((X3 tptp.vEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull X3))) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) X3)) (=> (forall ((Uv tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf tptp.fTrue Uv)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Leaf tptp.fTrue Uv)))))) (=> (forall ((Uu tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf Uu tptp.fTrue)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Leaf Uu tptp.fTrue)))))) (not (forall ((Uz2 tptp.product_prod_nat_nat) (Va2 tptp.nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va2 Vb2 Vc2)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_V6963167321098673237ll_rel) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat Uz2) Va2 Vb2 Vc2)))))))))))))
% 16.06/16.30 (assume a9694 (forall ((K2 tptp.int) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int K2) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int K2) (tptp.aa_num_int (tptp.neg_numeral_sub_int N) tptp.one))))))
% 16.06/16.30 (assume a9695 (forall ((N tptp.num) (K2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) K2) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se6526347334894502574or_int (tptp.aa_num_int (tptp.neg_numeral_sub_int N) tptp.one)) K2)))))
% 16.06/16.30 (assume a9696 (forall ((N tptp.nat)) (= (tptp.compow_fun_nat_nat N tptp.suc) (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N))))
% 16.06/16.30 (assume a9697 (forall ((N tptp.num)) (= (tptp.aa_num_int (tptp.neg_numeral_sub_int (tptp.aa_num_num tptp.bitM N)) tptp.one) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int (tptp.neg_numeral_sub_int N) tptp.one)))))
% 16.06/16.30 (assume a9698 (tptp.semila1623282765462674594er_nat tptp.ord_max_nat tptp.zero_zero_nat tptp.aTP_Lamm_eq tptp.aTP_Lamm_mb))
% 16.06/16.30 (assume a9699 (forall ((K2 tptp.code_integer) (L tptp.code_integer)) (and (=> (= K2 tptp.zero_z3403309356797280102nteger) (= (tptp.code_divmod_integer K2 L) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger tptp.zero_z3403309356797280102nteger))) (=> (not (= K2 tptp.zero_z3403309356797280102nteger)) (and (=> (= L tptp.zero_z3403309356797280102nteger) (= (tptp.code_divmod_integer K2 L) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger K2))) (=> (not (= L tptp.zero_z3403309356797280102nteger)) (= (tptp.code_divmod_integer K2 L) (tptp.aa_Pro4693618923521437820nteger (tptp.comp_C7848664941760151970nteger (tptp.comp_f6739083541385432444nteger tptp.produc6499014454317279255nteger tptp.times_3573771949741848930nteger) tptp.sgn_sgn_Code_integer L) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer K2)) (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer L)) (tptp.code_divmod_abs K2 L) (tptp.produc6916734918728496179nteger (tptp.aTP_Lamm_wc L) (tptp.code_divmod_abs K2 L)))))))))))
% 16.06/16.30 (assume a9700 (forall ((Xa2 tptp.product_prod_nat_nat) (X3 tptp.product_prod_nat_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X3)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_we) Xa2) X3)))))
% 16.06/16.30 (assume a9701 (= (tptp.comp_nat_nat_nat tptp.suc tptp.suc) (tptp.comp_nat_nat_nat tptp.suc tptp.suc)))
% 16.06/16.30 (assume a9702 (forall ((Z tptp.int)) (not (forall ((X5 tptp.nat) (Y3 tptp.nat)) (not (= Z (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) Y3))))))))
% 16.06/16.30 (assume a9703 (= tptp.zero_zero_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) tptp.zero_zero_nat))))
% 16.06/16.30 (assume a9704 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat N) tptp.zero_zero_nat)))))
% 16.06/16.30 (assume a9705 (forall ((X3 tptp.product_prod_nat_nat)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X3)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_wf) X3)))))
% 16.06/16.30 (assume a9706 (= tptp.one_one_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.one_one_nat) tptp.zero_zero_nat))))
% 16.06/16.30 (assume a9707 (forall ((Xa2 tptp.product_prod_nat_nat) (X3 tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X3))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_wh) Xa2) X3)))))
% 16.06/16.30 (assume a9708 (forall ((Xa2 tptp.product_prod_nat_nat) (X3 tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X3))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_wj) Xa2) X3)))))
% 16.06/16.30 (assume a9709 (forall ((Xa2 tptp.product_prod_nat_nat) (X3 tptp.product_prod_nat_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X3)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_wl) Xa2) X3)))))
% 16.06/16.30 (assume a9710 (forall ((Xa2 tptp.product_prod_nat_nat) (X3 tptp.product_prod_nat_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa2)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X3)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_wn) Xa2) X3)))))
% 16.06/16.30 (assume a9711 (= tptp.code_negative (tptp.comp_C3531382070062128313er_num tptp.uminus1351360451143612070nteger tptp.numera6620942414471956472nteger)))
% 16.06/16.30 (assume a9712 (= tptp.code_Target_negative (tptp.comp_int_int_num tptp.uminus_uminus_int tptp.numeral_numeral_int)))
% 16.06/16.30 (assume a9713 (= tptp.pred_nat (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool tptp.aTP_Lamm_wo))))
% 16.06/16.30 (assume a9714 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_num tptp.inc (tptp.aa_nat_num tptp.num_of_nat N)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))) (= (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_nat_nat tptp.suc N)) tptp.one)))))
% 16.06/16.30 (assume a9715 (forall ((Q3 tptp.num)) (= (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_num_nat tptp.numeral_numeral_nat Q3)) Q3)))
% 16.06/16.30 (assume a9716 (= (tptp.aa_nat_num tptp.num_of_nat tptp.zero_zero_nat) tptp.one))
% 16.06/16.30 (assume a9717 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_nat_num tptp.num_of_nat N)) N))))
% 16.06/16.30 (assume a9718 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) tptp.one_one_nat)) (= (tptp.aa_nat_num tptp.num_of_nat N) tptp.one))))
% 16.06/16.30 (assume a9719 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_nat_num tptp.num_of_nat N))))))
% 16.06/16.30 (assume a9720 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_nat_num tptp.num_of_nat M2)) (tptp.aa_nat_num tptp.num_of_nat N)))))))
% 16.06/16.30 (assume a9721 (forall ((X3 tptp.int) (Xa2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Xa2)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_wj) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ X3)) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ Xa2))))))
% 16.06/16.30 (assume a9722 (forall ((X3 tptp.int) (Xa2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Xa2)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_wh) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ X3)) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ Xa2))))))
% 16.06/16.30 (assume a9723 (= tptp.uminus_uminus_int (tptp.aa_fun8399641135911395862nt_int (tptp.map_fu3667384564859982768at_int tptp.rep_Integ tptp.abs_Integ) (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_wf))))
% 16.06/16.30 (assume a9724 (= tptp.times_times_int (tptp.map_fu8294830438409148311nt_int tptp.rep_Integ (tptp.map_fu3667384564859982768at_int tptp.rep_Integ tptp.abs_Integ) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_we))))
% 16.06/16.30 (assume a9725 (= tptp.minus_minus_int (tptp.map_fu8294830438409148311nt_int tptp.rep_Integ (tptp.map_fu3667384564859982768at_int tptp.rep_Integ tptp.abs_Integ) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_wn))))
% 16.06/16.30 (assume a9726 (= tptp.plus_plus_int (tptp.map_fu8294830438409148311nt_int tptp.rep_Integ (tptp.map_fu3667384564859982768at_int tptp.rep_Integ tptp.abs_Integ) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_wl))))
% 16.06/16.30 (assume a9727 (forall ((M7 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat M7)) (= (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat M7) (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat M7) (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat)))))))
% 16.06/16.30 (assume a9728 (= (tptp.aa_num_Code_integer tptp.code_integer_of_num (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.30 (assume a9729 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.case_option_int_num tptp.zero_zero_int (tptp.aTP_Lamm_wp M2) (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.numeral_numeral_nat M2) N)))))
% 16.06/16.30 (assume a9730 (forall ((C tptp.nat) (Y tptp.nat) (X3 tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) Y)) (= (tptp.image_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_wq C) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat X3) Y)) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X3) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Y) C)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) Y))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)) (= (tptp.image_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_wq C) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat X3) Y)) (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y))) (= (tptp.image_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_wq C) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat X3) Y)) tptp.bot_bot_set_nat)))))))
% 16.06/16.30 (assume a9731 (forall ((M2 tptp.num)) (= (tptp.bit_take_bit_num tptp.zero_zero_nat M2) tptp.none_num)))
% 16.06/16.30 (assume a9732 (forall ((M7 tptp.set_nat) (N5 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.bij_betw_nat_nat tptp.suc M7) N5)) (= (tptp.image_nat_nat tptp.suc M7) N5))))
% 16.06/16.30 (assume a9733 (forall ((N tptp.nat)) (= (tptp.bit_take_bit_num (tptp.aa_nat_nat tptp.suc N) tptp.one) (tptp.some_num tptp.one))))
% 16.06/16.30 (assume a9734 (forall ((R2 tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.numeral_numeral_nat R2) tptp.one) (tptp.some_num tptp.one))))
% 16.06/16.30 (assume a9735 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat I) J)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc I)) (tptp.aa_nat_nat tptp.suc J)))))
% 16.06/16.30 (assume a9736 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat I) J)) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc I)) (tptp.aa_nat_nat tptp.suc J)))))
% 16.06/16.30 (assume a9737 (forall ((A4 tptp.set_nat)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) (tptp.image_nat_nat tptp.suc A4))))))
% 16.06/16.30 (assume a9738 (forall ((N tptp.nat)) (= (tptp.bit_take_bit_num N tptp.one) (tptp.case_nat_option_num tptp.none_num tptp.aTP_Lamm_wr N))))
% 16.06/16.30 (assume a9739 (= tptp.code_integer_of_num tptp.numera6620942414471956472nteger))
% 16.06/16.30 (assume a9740 (forall ((N tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))
% 16.06/16.30 (assume a9741 (forall ((N tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) (tptp.aa_nat_nat tptp.suc N)))))
% 16.06/16.30 (assume a9742 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))))))
% 16.06/16.30 (assume a9743 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N))))))
% 16.06/16.30 (assume a9744 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 16.06/16.30 (assume a9745 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 16.06/16.30 (assume a9746 (= (tptp.aa_num_Code_integer tptp.code_integer_of_num tptp.one) tptp.one_one_Code_integer))
% 16.06/16.30 (assume a9747 (forall ((N tptp.num)) (= (tptp.aa_num_Code_integer tptp.code_integer_of_num (tptp.aa_num_num tptp.bit0 N)) (tptp.plus_p5714425477246183910nteger (tptp.aa_num_Code_integer tptp.code_integer_of_num N) (tptp.aa_num_Code_integer tptp.code_integer_of_num N)))))
% 16.06/16.30 (assume a9748 (forall ((N tptp.nat) (M2 tptp.num)) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) tptp.zero_zero_nat) (= (tptp.bit_take_bit_num N M2) tptp.none_num)) (=> (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) tptp.zero_zero_nat)) (= (tptp.bit_take_bit_num N M2) (tptp.some_num (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat M2)))))))))
% 16.06/16.30 (assume a9749 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M2 (tptp.aa_num_num tptp.bitM N))))))
% 16.06/16.30 (assume a9750 (forall ((N tptp.num) (M2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M2 (tptp.aa_num_num tptp.bitM N))))))
% 16.06/16.30 (assume a9751 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M2 (tptp.aa_num_num tptp.bit0 N))))))
% 16.06/16.30 (assume a9752 (forall ((N tptp.num) (M2 tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M2 (tptp.aa_num_num tptp.bit0 N))))))
% 16.06/16.30 (assume a9753 (forall ((N tptp.nat) (M2 tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_nat_nat tptp.suc N) (tptp.aa_num_num tptp.bit1 M2)) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_take_bit_num N M2))))))
% 16.06/16.30 (assume a9754 (forall ((N tptp.nat) (M2 tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_nat_nat tptp.suc N) (tptp.aa_num_num tptp.bit0 M2)) (tptp.case_o6005452278849405969um_num tptp.none_num tptp.aTP_Lamm_ws (tptp.bit_take_bit_num N M2)))))
% 16.06/16.30 (assume a9755 (forall ((R2 tptp.num) (M2 tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.numeral_numeral_nat R2) (tptp.aa_num_num tptp.bit1 M2)) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.pred_numeral R2) M2))))))
% 16.06/16.30 (assume a9756 (forall ((R2 tptp.num) (M2 tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.numeral_numeral_nat R2) (tptp.aa_num_num tptp.bit0 M2)) (tptp.case_o6005452278849405969um_num tptp.none_num tptp.aTP_Lamm_ws (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.pred_numeral R2) M2)))))
% 16.06/16.30 (assume a9757 (= (tptp.bit_and_not_num tptp.one tptp.one) tptp.none_num))
% 16.06/16.30 (assume a9758 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit0 N)) (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_wt (tptp.bit_and_not_num M2 N)))))
% 16.06/16.30 (assume a9759 (forall ((M2 tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit0 M2) tptp.one) (tptp.some_num (tptp.aa_num_num tptp.bit0 M2)))))
% 16.06/16.30 (assume a9760 (forall ((N tptp.num)) (= (tptp.bit_and_not_num tptp.one (tptp.aa_num_num tptp.bit0 N)) (tptp.some_num tptp.one))))
% 16.06/16.30 (assume a9761 (forall ((N tptp.num)) (= (tptp.bit_and_not_num tptp.one (tptp.aa_num_num tptp.bit1 N)) tptp.none_num)))
% 16.06/16.30 (assume a9762 (forall ((N tptp.nat) (M2 tptp.num)) (= (tptp.bit_take_bit_num N (tptp.aa_num_num tptp.bit0 M2)) (tptp.case_nat_option_num tptp.none_num (tptp.aTP_Lamm_wu M2) N))))
% 16.06/16.30 (assume a9763 (forall ((M2 tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit1 M2) tptp.one) (tptp.some_num (tptp.aa_num_num tptp.bit0 M2)))))
% 16.06/16.30 (assume a9764 (forall ((M2 tptp.num) (N tptp.num) (Q3 tptp.num)) (= (= (tptp.bit_and_not_num M2 N) (tptp.some_num Q3)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_num_int tptp.numeral_numeral_int Q3)))))
% 16.06/16.30 (assume a9765 (forall ((N tptp.nat) (M2 tptp.num)) (= (tptp.bit_take_bit_num N (tptp.aa_num_num tptp.bit1 M2)) (tptp.case_nat_option_num tptp.none_num (tptp.aTP_Lamm_wv M2) N))))
% 16.06/16.30 (assume a9766 (forall ((M2 tptp.num) (N tptp.num)) (= (= (tptp.bit_and_not_num M2 N) tptp.none_num) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.zero_zero_int))))
% 16.06/16.30 (assume a9767 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M2 N)))))
% 16.06/16.30 (assume a9768 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num N M2)))))
% 16.06/16.30 (assume a9769 (forall ((N tptp.nat) (M2 tptp.num)) (= (tptp.bit_take_bit_num N M2) (tptp.produc478579273971653890on_num tptp.aTP_Lamm_wz (tptp.product_Pair_nat_num N M2)))))
% 16.06/16.30 (assume a9770 (= tptp.top_top_set_nat (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc tptp.top_top_set_nat))))
% 16.06/16.30 (assume a9771 (forall ((X3 tptp.num) (Xa2 tptp.num) (Y tptp.option_num)) (=> (= (tptp.bit_and_not_num X3 Xa2) Y) (=> (=> (= X3 tptp.one) (=> (= Xa2 tptp.one) (not (= Y tptp.none_num)))) (=> (=> (= X3 tptp.one) (=> (exists ((N2 tptp.num)) (= Xa2 (tptp.aa_num_num tptp.bit0 N2))) (not (= Y (tptp.some_num tptp.one))))) (=> (=> (= X3 tptp.one) (=> (exists ((N2 tptp.num)) (= Xa2 (tptp.aa_num_num tptp.bit1 N2))) (not (= Y tptp.none_num)))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (=> (= Xa2 tptp.one) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M N2)))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M N2)))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (=> (= Xa2 tptp.one) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (not (= Y (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_wt (tptp.bit_and_not_num M N2)))))))) (not (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M N2))))))))))))))))))))
% 16.06/16.30 (assume a9772 (= (tptp.finite_card_bool tptp.top_top_set_bool) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 16.06/16.30 (assume a9773 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit0 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M2 N)))))
% 16.06/16.30 (assume a9774 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M2 N)))))
% 16.06/16.30 (assume a9775 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M2 N)))))
% 16.06/16.30 (assume a9776 (forall ((N tptp.nat) (X3 tptp.real)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3) tptp.zero_zero_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3) (tptp.aa_real_real (tptp.the_in5290026491893676941l_real tptp.top_top_set_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_xa N)) X3))))))
% 16.06/16.30 (assume a9777 (forall ((X3 tptp.num) (Xa2 tptp.num) (Y tptp.option_num)) (=> (= (tptp.bit_un7362597486090784418nd_num X3 Xa2) Y) (=> (=> (= X3 tptp.one) (=> (= Xa2 tptp.one) (not (= Y (tptp.some_num tptp.one))))) (=> (=> (= X3 tptp.one) (=> (exists ((N2 tptp.num)) (= Xa2 (tptp.aa_num_num tptp.bit0 N2))) (not (= Y tptp.none_num)))) (=> (=> (= X3 tptp.one) (=> (exists ((N2 tptp.num)) (= Xa2 (tptp.aa_num_num tptp.bit1 N2))) (not (= Y (tptp.some_num tptp.one))))) (=> (=> (exists ((M tptp.num)) (= X3 (tptp.aa_num_num tptp.bit0 M))) (=> (= Xa2 tptp.one) (not (= Y tptp.none_num)))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_un7362597486090784418nd_num M N2)))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_un7362597486090784418nd_num M N2)))))))) (=> (=> (exists ((M tptp.num)) (= X3 (tptp.aa_num_num tptp.bit1 M))) (=> (= Xa2 tptp.one) (not (= Y (tptp.some_num tptp.one))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_un7362597486090784418nd_num M N2)))))))) (not (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (not (= Y (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_wt (tptp.bit_un7362597486090784418nd_num M N2))))))))))))))))))))
% 16.06/16.30 (assume a9778 (= tptp.top_top_set_bool (tptp.insert_bool tptp.fFalse (tptp.insert_bool tptp.fTrue tptp.bot_bot_set_bool))))
% 16.06/16.30 (assume a9779 (= (tptp.bit_un7362597486090784418nd_num tptp.one tptp.one) (tptp.some_num tptp.one)))
% 16.06/16.30 (assume a9780 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit0 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_un7362597486090784418nd_num M2 N)))))
% 16.06/16.30 (assume a9781 (forall ((M2 tptp.num)) (= (tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit1 M2) tptp.one) (tptp.some_num tptp.one))))
% 16.06/16.30 (assume a9782 (forall ((N tptp.num)) (= (tptp.bit_un7362597486090784418nd_num tptp.one (tptp.aa_num_num tptp.bit1 N)) (tptp.some_num tptp.one))))
% 16.06/16.30 (assume a9783 (forall ((N tptp.num)) (= (tptp.bit_un7362597486090784418nd_num tptp.one (tptp.aa_num_num tptp.bit0 N)) tptp.none_num)))
% 16.06/16.30 (assume a9784 (forall ((M2 tptp.num)) (= (tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit0 M2) tptp.one) tptp.none_num)))
% 16.06/16.30 (assume a9785 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_un7362597486090784418nd_num M2 N)))))
% 16.06/16.30 (assume a9786 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit0 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_un7362597486090784418nd_num M2 N)))))
% 16.06/16.30 (assume a9787 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_wt (tptp.bit_un7362597486090784418nd_num M2 N)))))
% 16.06/16.30 (assume a9788 (= (tptp.finite_card_char tptp.top_top_set_char) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.06/16.30 (assume a9789 (forall ((X3 tptp.num) (Xa2 tptp.num) (Y tptp.option_num)) (=> (= (tptp.bit_un2480387367778600638or_num X3 Xa2) Y) (=> (=> (= X3 tptp.one) (=> (= Xa2 tptp.one) (not (= Y tptp.none_num)))) (=> (=> (= X3 tptp.one) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit1 N2))))))) (=> (=> (= X3 tptp.one) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 N2))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (=> (= Xa2 tptp.one) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit1 M))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_un2480387367778600638or_num M N2)))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (not (= Y (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_un2480387367778600638or_num M N2))))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (=> (= Xa2 tptp.one) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (not (= Y (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_un2480387367778600638or_num M N2))))))))) (not (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_un2480387367778600638or_num M N2))))))))))))))))))))
% 16.06/16.30 (assume a9790 (= (tptp.bit_un2480387367778600638or_num tptp.one tptp.one) tptp.none_num))
% 16.06/16.30 (assume a9791 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit0 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_un2480387367778600638or_num M2 N)))))
% 16.06/16.30 (assume a9792 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_un2480387367778600638or_num M2 N)))))
% 16.06/16.30 (assume a9793 (forall ((N tptp.num)) (= (tptp.bit_un2480387367778600638or_num tptp.one (tptp.aa_num_num tptp.bit0 N)) (tptp.some_num (tptp.aa_num_num tptp.bit1 N)))))
% 16.06/16.30 (assume a9794 (forall ((N tptp.num)) (= (tptp.bit_un2480387367778600638or_num tptp.one (tptp.aa_num_num tptp.bit1 N)) (tptp.some_num (tptp.aa_num_num tptp.bit0 N)))))
% 16.06/16.30 (assume a9795 (forall ((M2 tptp.num)) (= (tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit0 M2) tptp.one) (tptp.some_num (tptp.aa_num_num tptp.bit1 M2)))))
% 16.06/16.30 (assume a9796 (forall ((M2 tptp.num)) (= (tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit1 M2) tptp.one) (tptp.some_num (tptp.aa_num_num tptp.bit0 M2)))))
% 16.06/16.30 (assume a9797 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit0 M2) (tptp.aa_num_num tptp.bit1 N)) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_un2480387367778600638or_num M2 N))))))
% 16.06/16.30 (assume a9798 (forall ((M2 tptp.num) (N tptp.num)) (= (tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit1 M2) (tptp.aa_num_num tptp.bit0 N)) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_un2480387367778600638or_num M2 N))))))
% 16.06/16.30 (assume a9799 (= tptp.top_top_set_char (tptp.image_nat_char tptp.unique3096191561947761185of_nat (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 16.06/16.30 (assume a9800 (forall ((X1 tptp.bool) (X2 tptp.bool) (X32 tptp.bool) (X42 tptp.bool) (X52 tptp.bool) (X62 tptp.bool) (X7 tptp.bool) (X8 tptp.bool)) (= (tptp.size_size_char (tptp.char2 X1 X2 X32 X42 X52 X62 X7 X8)) tptp.zero_zero_nat)))
% 16.06/16.30 (assume a9801 (forall ((C tptp.char)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_char_nat tptp.comm_s629917340098488124ar_nat C)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 16.06/16.30 (assume a9802 (= (tptp.image_char_nat tptp.comm_s629917340098488124ar_nat tptp.top_top_set_char) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 16.06/16.30 (assume a9803 (forall ((B0 tptp.bool) (B1 tptp.bool) (B22 tptp.bool) (B32 tptp.bool) (B42 tptp.bool) (B52 tptp.bool) (B62 tptp.bool) (B72 tptp.bool)) (= (tptp.integer_of_char (tptp.char2 B0 B1 B22 B32 B42 B52 B62 B72)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger B72)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger B62))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger B52))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger B42))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger B32))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger B22))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger B1))) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_Code_integer tptp.zero_n356916108424825756nteger B0)))))
% 16.06/16.30 (assume a9804 (forall ((C tptp.char)) (= (tptp.aa_char_nat tptp.comm_s629917340098488124ar_nat (tptp.ascii_of C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_char_nat tptp.comm_s629917340098488124ar_nat C)))))
% 16.06/16.30 (assume a9805 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) tptp.zero_zero_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)))))))
% 16.06/16.30 (assume a9806 (forall ((K2 tptp.nat)) (= (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc K2))) (tptp.append_nat (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K2)) (tptp.cons_nat K2 tptp.nil_nat)))))
% 16.06/16.30 (assume a9807 (forall ((K2 tptp.nat)) (= (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc K2))) (tptp.append_nat (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat K2)) (tptp.cons_nat (tptp.aa_nat_nat tptp.suc K2) tptp.nil_nat)))))
% 16.06/16.30 (assume a9808 (forall ((A tptp.real) (B tptp.real) (V2 tptp.fun_real_real) (K2 tptp.real)) (=> (not (= A B)) (=> (forall ((X5 tptp.real)) (tptp.has_fi5821293074295781190e_real V2 K2 (tptp.topolo2177554685111907308n_real X5 tptp.top_top_set_real))) (= (tptp.aa_real_real V2 (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real A) B)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real V2 A)) (tptp.aa_real_real V2 B))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.30 (assume a9809 (forall ((N tptp.nat) (X3 tptp.real) (S tptp.set_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_xb N) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))) (tptp.topolo2177554685111907308n_real X3 S))))
% 16.06/16.30 (assume a9810 (forall ((G tptp.fun_real_real) (M2 tptp.real) (X3 tptp.real) (N tptp.nat)) (=> (tptp.has_fi5821293074295781190e_real G M2 (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_xc G) N) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real G X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))) M2) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)))))
% 16.06/16.30 (assume a9811 (forall ((X3 tptp.real) (A4 tptp.set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X3)) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.artanh_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.topolo2177554685111907308n_real X3 A4)))))
% 16.06/16.30 (assume a9812 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (tptp.has_fi5821293074295781190e_real tptp.sqrt (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X3))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)))))
% 16.06/16.30 (assume a9813 (forall ((X3 tptp.real)) (tptp.has_fi5821293074295781190e_real tptp.arctan (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))))
% 16.06/16.30 (assume a9814 (forall ((X3 tptp.real) (A4 tptp.set_real)) (tptp.has_fi5821293074295781190e_real tptp.arsinh_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))) (tptp.topolo2177554685111907308n_real X3 A4))))
% 16.06/16.30 (assume a9815 (forall ((X3 tptp.real) (D2 tptp.real)) (=> (not (= X3 tptp.zero_zero_real)) (=> (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= D2 (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X3))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) tptp.zero_zero_real)) (= D2 (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X3)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.has_fi5821293074295781190e_real tptp.sqrt D2 (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)))))))
% 16.06/16.30 (assume a9816 (forall ((X3 tptp.real) (A4 tptp.set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X3)) (tptp.has_fi5821293074295781190e_real tptp.arcosh_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))) (tptp.topolo2177554685111907308n_real X3 A4)))))
% 16.06/16.30 (assume a9817 (forall ((N tptp.nat) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))))))
% 16.06/16.30 (assume a9818 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.arccos (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))))))
% 16.06/16.30 (assume a9819 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.arcsin (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))))))
% 16.06/16.30 (assume a9820 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (X3 tptp.real) (N tptp.nat)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M tptp.nat) (X5 tptp.real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M)) X5) (tptp.topolo2177554685111907308n_real X5 tptp.top_top_set_real))) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T5)) (tptp.aa_real_real tptp.abs_abs_real X3))) (= (tptp.aa_real_real F X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xd Diff) X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T5)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N))))))))))
% 16.06/16.30 (assume a9821 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (X3 tptp.real) (N tptp.nat)) (=> (and (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (forall ((M tptp.nat) (X5 tptp.real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M)) X5) (tptp.topolo2177554685111907308n_real X5 tptp.top_top_set_real)))) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T5)) (tptp.aa_real_real tptp.abs_abs_real X3))) (= (tptp.aa_real_real F X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xd Diff) X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T5)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N)))))))))
% 16.06/16.30 (assume a9822 (forall ((N tptp.nat) (X3 tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (not (= X3 tptp.zero_zero_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))))))
% 16.06/16.30 (assume a9823 (forall ((H tptp.real) (N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M tptp.nat) (T5 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T5) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M)) T5) (tptp.topolo2177554685111907308n_real T5 tptp.top_top_set_real)))) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T5) H)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_ox H) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T5)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real H) N))))))))))))
% 16.06/16.30 (assume a9824 (forall ((H tptp.real) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M tptp.nat) (T5 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T5) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M)) T5) (tptp.topolo2177554685111907308n_real T5 tptp.top_top_set_real)))) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T5) H)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_ox H) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T5)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real H) N)))))))))))
% 16.06/16.30 (assume a9825 (forall ((H tptp.real) (N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M tptp.nat) (T5 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real H) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T5) tptp.zero_zero_real))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M)) T5) (tptp.topolo2177554685111907308n_real T5 tptp.top_top_set_real)))) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T5) tptp.zero_zero_real)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_ox H) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T5)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real H) N))))))))))))
% 16.06/16.30 (assume a9826 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (N tptp.nat) (X3 tptp.real)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (not (= X3 tptp.zero_zero_real)) (=> (forall ((M tptp.nat) (X5 tptp.real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M)) X5) (tptp.topolo2177554685111907308n_real X5 tptp.top_top_set_real))) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.abs_abs_real T5))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real T5)) (tptp.aa_real_real tptp.abs_abs_real X3))) (= (tptp.aa_real_real F X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xd Diff) X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T5)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N))))))))))))
% 16.06/16.30 (assume a9827 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (N tptp.nat) (X3 tptp.real)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M tptp.nat) (T5 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T5)) (tptp.aa_real_real tptp.abs_abs_real X3)))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M)) T5) (tptp.topolo2177554685111907308n_real T5 tptp.top_top_set_real)))) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T5)) (tptp.aa_real_real tptp.abs_abs_real X3))) (= (tptp.aa_real_real F X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xd Diff) X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T5)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real X3) N))))))))))
% 16.06/16.30 (assume a9828 (forall ((N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (A tptp.real) (B tptp.real) (C tptp.real) (X3 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M tptp.nat) (T5 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T5) B))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M)) T5) (tptp.topolo2177554685111907308n_real T5 tptp.top_top_set_real)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) B)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B)) (=> (not (= X3 C)) (exists ((T5 tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) C)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T5) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) C))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T5) X3)))) (= (tptp.aa_real_real F X3) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_xe Diff) C) X3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T5)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.minus_minus_real X3) C)) N))))))))))))))))
% 16.06/16.30 (assume a9829 (forall ((N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M tptp.nat) (T5 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T5) B))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M)) T5) (tptp.topolo2177554685111907308n_real T5 tptp.top_top_set_real)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) B)) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T5) B)) (= (tptp.aa_real_real F B) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_xf Diff) B) C) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T5)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.minus_minus_real B) C)) N)))))))))))))
% 16.06/16.30 (assume a9830 (forall ((N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (A tptp.real) (B tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M tptp.nat) (T5 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T5) B))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M)) T5) (tptp.topolo2177554685111907308n_real T5 tptp.top_top_set_real)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) B)) (exists ((T5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T5) C)) (= (tptp.aa_real_real F A) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_xf Diff) A) C) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T5)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.minus_minus_real A) C)) N)))))))))))))
% 16.06/16.30 (assume a9831 (forall ((N tptp.nat) (H tptp.real) (Diff tptp.fun_na6724076748692969250l_real) (K2 tptp.nat) (B4 tptp.real)) (=> (forall ((M tptp.nat) (T5 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T5) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M)) T5) (tptp.topolo2177554685111907308n_real T5 tptp.top_top_set_real)))) (=> (= N (tptp.aa_nat_nat tptp.suc K2)) (forall ((M3 tptp.nat) (T6 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M3) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T6) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real (tptp.aa_rea1103652080130114956l_real (tptp.aa_fun2567993205388704171l_real (tptp.aTP_Lamm_xh N) Diff) B4) M3) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M3)) T6)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_xi Diff) M3) T6) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc M3))))) (tptp.aa_real_real (tptp.times_times_real B4) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real T6) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc M3)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc M3))))))) (tptp.topolo2177554685111907308n_real T6 tptp.top_top_set_real))))))))
% 16.06/16.30 (assume a9832 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X3)) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.aTP_Lamm_xj (tptp.suminf_real (tptp.aTP_Lamm_xk X3)) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)))))
% 16.06/16.30 (assume a9833 (forall ((N tptp.nat) (X3 tptp.real) (D2 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (not (= X3 tptp.zero_zero_real)) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= D2 (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) tptp.zero_zero_real)) (= D2 (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))) (=> (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= D2 (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.root N) D2 (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)))))))))
% 16.06/16.30 (assume a9834 (forall ((R tptp.real) (F tptp.fun_nat_real) (X0 tptp.real)) (=> (forall ((X5 tptp.real)) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X5) (tptp.set_or1633881224788618240n_real (tptp.aa_real_real tptp.uminus_uminus_real R) R))) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xl F) X5)))) (=> (tptp.pp (tptp.aa_set_real_bool (tptp.member_real X0) (tptp.set_or1633881224788618240n_real (tptp.aa_real_real tptp.uminus_uminus_real R) R))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R)) (tptp.has_fi5821293074295781190e_real (tptp.aTP_Lamm_xn F) (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xl F) X0)) (tptp.topolo2177554685111907308n_real X0 tptp.top_top_set_real)))))))
% 16.06/16.30 (assume a9835 (forall ((X3 tptp.list_nat)) (=> (not (= X3 tptp.nil_nat)) (not (forall ((X5 tptp.nat) (Xs2 tptp.list_nat)) (not (= X3 (tptp.cons_nat X5 Xs2))))))))
% 16.06/16.30 (assume a9836 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_set_nat_nat tptp.finite_card_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat L) U)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat U) (tptp.aa_nat_nat tptp.suc L)))))
% 16.06/16.30 (assume a9837 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc L)) U) (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat L) U))))
% 16.06/16.30 (assume a9838 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc I)) J)) (= (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat I) J)) (tptp.cons_nat (tptp.aa_nat_nat tptp.suc I) (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat (tptp.aa_nat_nat tptp.suc I)) J)))))))
% 16.06/16.30 (assume a9839 (tptp.filterlim_real_real tptp.aTP_Lamm_xo (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.top_top_set_real)))
% 16.06/16.30 (assume a9840 (forall ((N tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) (tptp.aa_nat_nat tptp.suc I)))) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat I) J))) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) N))))))
% 16.06/16.30 (assume a9841 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (tptp.topolo6980174941875973593q_real A) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real A tptp.zero_zero_nat)) tptp.zero_zero_real)) (forall ((N8 tptp.nat)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.suminf_real (tptp.aTP_Lamm_xp A))) (tptp.set_or1222579329274155063t_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_xp A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N8)) tptp.one_one_nat))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_xp A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N8))))))))))))
% 16.06/16.30 (assume a9842 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (tptp.topolo6980174941875973593q_real A) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real A tptp.zero_zero_nat))) (forall ((N8 tptp.nat)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real (tptp.suminf_real (tptp.aTP_Lamm_xp A))) (tptp.set_or1222579329274155063t_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_xp A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N8))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_xp A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N8)) tptp.one_one_nat))))))))))))
% 16.06/16.30 (assume a9843 (forall ((A tptp.fun_nat_real) (N tptp.nat)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_real A N2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.suminf_real (tptp.aTP_Lamm_xp A))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_xp A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))))))))
% 16.06/16.30 (assume a9844 (not (= tptp.at_top_nat tptp.bot_bot_filter_nat)))
% 16.06/16.30 (assume a9845 (tptp.filterlim_nat_nat tptp.suc tptp.at_top_nat tptp.at_top_nat))
% 16.06/16.30 (assume a9846 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N2))))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_real G N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real G N2)))) (=> (tptp.filterlim_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_xq F) G) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (exists ((L3 tptp.real)) (and (forall ((N8 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N8)) L3))) (tptp.filterlim_nat_real F (tptp.topolo2815343760600316023s_real L3) tptp.at_top_nat) (forall ((N8 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L3) (tptp.aa_nat_real G N8)))) (tptp.filterlim_nat_real G (tptp.topolo2815343760600316023s_real L3) tptp.at_top_nat)))))))))
% 16.06/16.30 (assume a9847 (forall ((X6 tptp.fun_nat_real)) (=> (forall ((R3 tptp.real)) (exists ((N6 tptp.nat)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N6) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real R3) (tptp.aa_nat_real X6 N2))))))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_xr X6) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 16.06/16.30 (assume a9848 (tptp.filterlim_nat_real tptp.aTP_Lamm_xs (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))
% 16.06/16.30 (assume a9849 (forall ((R2 tptp.real)) (tptp.filterlim_nat_real (tptp.aTP_Lamm_xt R2) (tptp.topolo2815343760600316023s_real R2) tptp.at_top_nat)))
% 16.06/16.30 (assume a9850 (forall ((F tptp.fun_nat_real) (L tptp.real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N2))))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N2)) L))) (=> (forall ((E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (exists ((N8 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real F N8)) E2)))))) (tptp.filterlim_nat_real F (tptp.topolo2815343760600316023s_real L) tptp.at_top_nat))))))
% 16.06/16.30 (assume a9851 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.power_power_real X3) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat)))))
% 16.06/16.30 (assume a9852 (forall ((X3 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X3)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xu X3) A) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 16.06/16.30 (assume a9853 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real C)) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real C)) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 16.06/16.30 (assume a9854 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real C)) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.power_power_real C) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 16.06/16.30 (assume a9855 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X3)) (tptp.filterlim_nat_real (tptp.aTP_Lamm_xv X3) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 16.06/16.30 (assume a9856 (forall ((R2 tptp.real)) (tptp.filterlim_nat_real (tptp.aTP_Lamm_xw R2) (tptp.topolo2815343760600316023s_real R2) tptp.at_top_nat)))
% 16.06/16.30 (assume a9857 (forall ((X3 tptp.real)) (tptp.filterlim_nat_real (tptp.aTP_Lamm_xx X3) (tptp.topolo2815343760600316023s_real (tptp.aa_real_real tptp.exp_real X3)) tptp.at_top_nat)))
% 16.06/16.30 (assume a9858 (forall ((R2 tptp.real)) (tptp.filterlim_nat_real (tptp.aTP_Lamm_xy R2) (tptp.topolo2815343760600316023s_real R2) tptp.at_top_nat)))
% 16.06/16.30 (assume a9859 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (tptp.topolo6980174941875973593q_real A) (tptp.summable_real (tptp.aTP_Lamm_xp A))))))
% 16.06/16.30 (assume a9860 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_real A N2)))) (tptp.summable_real (tptp.aTP_Lamm_xp A)))))))
% 16.06/16.30 (assume a9861 (forall ((Theta tptp.fun_nat_real) (Theta2 tptp.real)) (=> (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xz Theta) Theta2) (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_nat) (not (forall ((K tptp.fun_nat_int)) (not (tptp.filterlim_nat_real (tptp.aa_fun4551936527957760560t_real (tptp.aTP_Lamm_ya Theta) K) (tptp.topolo2815343760600316023s_real Theta2) tptp.at_top_nat)))))))
% 16.06/16.30 (assume a9862 (forall ((Theta tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real (tptp.aTP_Lamm_yb Theta) (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_nat) (exists ((K tptp.fun_nat_int)) (tptp.filterlim_nat_real (tptp.aa_fun4551936527957760560t_real (tptp.aTP_Lamm_ya Theta) K) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat)))))
% 16.06/16.30 (assume a9863 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (tptp.topolo6980174941875973593q_real A) (tptp.filterlim_nat_real (tptp.aTP_Lamm_yc A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_xp A))) tptp.at_top_nat)))))
% 16.06/16.30 (assume a9864 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X3)) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.aTP_Lamm_hv X3) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 16.06/16.30 (assume a9865 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_real A N2)))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_yc A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_xp A))) tptp.at_top_nat))))))
% 16.06/16.30 (assume a9866 (forall ((A tptp.fun_nat_real) (N tptp.nat)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_real A N2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_xp A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.suminf_real (tptp.aTP_Lamm_xp A)))))))))
% 16.06/16.31 (assume a9867 (forall ((A tptp.fun_nat_real)) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_real A N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N2)))) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (exists ((L3 tptp.real)) (and (forall ((N8 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_xp A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N8)))) L3))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_yc A) (tptp.topolo2815343760600316023s_real L3) tptp.at_top_nat) (forall ((N8 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L3) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_xp A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N8)) tptp.one_one_nat)))))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_yd A) (tptp.topolo2815343760600316023s_real L3) tptp.at_top_nat))))))))
% 16.06/16.31 (assume a9868 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (tptp.topolo6980174941875973593q_real A) (tptp.filterlim_nat_real (tptp.aTP_Lamm_yd A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_xp A))) tptp.at_top_nat)))))
% 16.06/16.31 (assume a9869 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N2)))) (=> (forall ((N2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N2))) (tptp.aa_nat_real A N2)))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_yd A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_xp A))) tptp.at_top_nat))))))
% 16.06/16.31 (assume a9870 (forall ((K2 tptp.nat)) (tptp.filterlim_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_ye K2) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_real)))
% 16.06/16.31 (assume a9871 (tptp.filterlim_real_real tptp.tan_real tptp.at_top_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.set_or5984915006950818249n_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.31 (assume a9872 (tptp.filterlim_real_real tptp.arctan (tptp.topolo2815343760600316023s_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.at_top_real))
% 16.06/16.31 (assume a9873 (tptp.filterlim_real_real tptp.arctan (tptp.topolo2815343760600316023s_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.at_bot_real))
% 16.06/16.31 (assume a9874 (forall ((N tptp.nat) (F tptp.fun_real_real) (F4 tptp.filter_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.filterlim_real_real F tptp.at_bot_real F4) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_yf N) F) tptp.at_top_real F4))))))
% 16.06/16.31 (assume a9875 (forall ((N tptp.nat) (F tptp.fun_real_real) (F4 tptp.filter_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.filterlim_real_real F tptp.at_bot_real F4) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_yf N) F) tptp.at_bot_real F4))))))
% 16.06/16.31 (assume a9876 (tptp.filterlim_real_real tptp.tan_real tptp.at_bot_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.set_or5849166863359141190n_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.31 (assume a9877 (= (tptp.comple7806235888213564991et_nat (tptp.image_nat_set_nat tptp.set_or1210151606488870762an_nat tptp.top_top_set_nat)) tptp.bot_bot_set_nat))
% 16.06/16.31 (assume a9878 (= (tptp.aa_nat_set_nat tptp.set_or1210151606488870762an_nat tptp.zero_zero_nat) (tptp.image_nat_nat tptp.suc tptp.top_top_set_nat)))
% 16.06/16.31 (assume a9879 (forall ((K2 tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_or1210151606488870762an_nat (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_nat_set_nat tptp.set_or1210151606488870762an_nat K2)) (tptp.insert_nat (tptp.aa_nat_nat tptp.suc K2) tptp.bot_bot_set_nat)))))
% 16.06/16.31 (assume a9880 (forall ((P2 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat tptp.inverse_inverse_rat P2)) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int tptp.aTP_Lamm_yg) (tptp.quotient_of P2)))))
% 16.06/16.31 (assume a9881 (forall ((Q3 tptp.int) (P2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Q3) tptp.zero_zero_int)) (= (tptp.aa_Pro6970504127699319548nt_int tptp.normalize (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int P2) Q3)) (tptp.aa_Pro6970504127699319548nt_int tptp.normalize (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int tptp.uminus_uminus_int P2)) (tptp.aa_int_int tptp.uminus_uminus_int Q3)))))))
% 16.06/16.31 (assume a9882 (= (tptp.quotient_of tptp.one_one_rat) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.one_one_int)))
% 16.06/16.31 (assume a9883 (= (tptp.quotient_of tptp.zero_zero_rat) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int)))
% 16.06/16.31 (assume a9884 (forall ((K2 tptp.num)) (= (tptp.quotient_of (tptp.aa_num_rat tptp.numeral_numeral_rat K2)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_num_int tptp.numeral_numeral_int K2)) tptp.one_one_int))))
% 16.06/16.31 (assume a9885 (= (tptp.quotient_of (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int)))
% 16.06/16.31 (assume a9886 (forall ((P2 tptp.int)) (= (tptp.aa_Pro6970504127699319548nt_int tptp.normalize (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int P2) tptp.zero_zero_int)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int))))
% 16.06/16.31 (assume a9887 (forall ((K2 tptp.num)) (= (tptp.quotient_of (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2))) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) tptp.one_one_int))))
% 16.06/16.31 (assume a9888 (forall ((R2 tptp.rat) (N tptp.int) (D tptp.int)) (=> (= (tptp.quotient_of R2) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int N) D)) (= R2 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat D))))))
% 16.06/16.31 (assume a9889 (forall ((P2 tptp.rat) (Q3 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat P2) Q3)) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_yi Q3)) (tptp.quotient_of P2)))))
% 16.06/16.31 (assume a9890 (forall ((P2 tptp.rat) (Q3 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat P2) Q3)) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_yk Q3)) (tptp.quotient_of P2)))))
% 16.06/16.31 (assume a9891 (forall ((P2 tptp.rat) (Q3 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat P2) Q3)) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_ym Q3)) (tptp.quotient_of P2)))))
% 16.06/16.31 (assume a9892 (forall ((P2 tptp.rat) (Q3 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat P2) Q3)) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_yo Q3)) (tptp.quotient_of P2)))))
% 16.06/16.31 (assume a9893 (forall ((R2 tptp.rat) (P2 tptp.int) (Q3 tptp.int)) (=> (= (tptp.quotient_of R2) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int P2) Q3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Q3)))))
% 16.06/16.31 (assume a9894 (forall ((P2 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat tptp.uminus_uminus_rat P2)) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int tptp.aTP_Lamm_yp) (tptp.quotient_of P2)))))
% 16.06/16.31 (assume a9895 (forall ((P2 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat tptp.abs_abs_rat P2)) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int tptp.aTP_Lamm_yq) (tptp.quotient_of P2)))))
% 16.06/16.31 (assume a9896 (forall ((R2 tptp.product_prod_int_int) (P2 tptp.int) (Q3 tptp.int)) (=> (= (tptp.aa_Pro6970504127699319548nt_int tptp.normalize R2) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int P2) Q3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Q3)))))
% 16.06/16.31 (assume a9897 (forall ((Q3 tptp.int) (S tptp.int) (P2 tptp.int) (R2 tptp.int)) (=> (not (= Q3 tptp.zero_zero_int)) (=> (not (= S tptp.zero_zero_int)) (=> (= (tptp.aa_Pro6970504127699319548nt_int tptp.normalize (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int P2) Q3)) (tptp.aa_Pro6970504127699319548nt_int tptp.normalize (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int R2) S))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int P2) S) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int R2) Q3)))))))
% 16.06/16.31 (assume a9898 (forall ((P2 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat tptp.sgn_sgn_rat P2)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int tptp.sgn_sgn_int (tptp.product_fst_int_int (tptp.quotient_of P2)))) tptp.one_one_int))))
% 16.06/16.31 (assume a9899 (forall ((A tptp.int)) (= (tptp.quotient_of (tptp.aa_int_rat tptp.of_int A)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) tptp.one_one_int))))
% 16.06/16.31 (assume a9900 (forall ((M7 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat M7)) (=> (not (= M7 tptp.bot_bot_set_nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat tptp.zero_zero_nat) M7))) (= (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat M7) (tptp.aa_set_nat_nat tptp.lattic8265883725875713057ax_nat (tptp.comple7806235888213564991et_nat (tptp.image_nat_set_nat tptp.aTP_Lamm_yr M7)))))))))
% 16.06/16.31 (assume a9901 (forall ((P tptp.fun_nat_bool)) (= (tptp.eventually_nat (tptp.aTP_Lamm_ys P) tptp.at_top_nat) (tptp.eventually_nat P tptp.at_top_nat))))
% 16.06/16.31 (assume a9902 (forall ((P tptp.fun_nat_bool) (K2 tptp.nat)) (= (tptp.eventually_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_yt P) K2) tptp.at_top_nat) (tptp.eventually_nat P tptp.at_top_nat))))
% 16.06/16.31 (assume a9903 (not (tptp.eventually_nat tptp.aTP_Lamm_ch tptp.at_top_nat)))
% 16.06/16.31 (assume a9904 (forall ((P tptp.fun_nat_bool)) (= (tptp.eventually_nat P tptp.at_top_nat) (exists ((N9 tptp.nat)) (forall ((N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N9) N4)) (tptp.pp (tptp.aa_nat_bool P N4))))))))
% 16.06/16.31 (assume a9905 (forall ((C tptp.nat) (P tptp.fun_nat_bool)) (=> (forall ((X5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) X5)) (tptp.pp (tptp.aa_nat_bool P X5)))) (tptp.eventually_nat P tptp.at_top_nat))))
% 16.06/16.31 (assume a9906 (forall ((F4 tptp.filter_nat)) (= (tptp.ord_le2510731241096832064er_nat F4 tptp.at_top_nat) (forall ((N9 tptp.nat)) (tptp.eventually_nat (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N9) F4)))))
% 16.06/16.31 (assume a9907 (forall ((P tptp.fun_nat_bool) (K2 tptp.nat)) (=> (tptp.eventually_nat P tptp.at_top_nat) (tptp.eventually_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_yt P) K2) tptp.at_top_nat))))
% 16.06/16.31 (assume a9908 (forall ((X6 tptp.set_nat)) (and (=> (= X6 tptp.bot_bot_set_nat) (= (tptp.aa_set_nat_nat tptp.complete_Sup_Sup_nat X6) tptp.zero_zero_nat)) (=> (not (= X6 tptp.bot_bot_set_nat)) (= (tptp.aa_set_nat_nat tptp.complete_Sup_Sup_nat X6) (tptp.aa_set_nat_nat tptp.lattic8265883725875713057ax_nat X6))))))
% 16.06/16.31 (assume a9909 (forall ((S3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_set_nat_nat tptp.finite_card_nat S3)) (tptp.aa_nat_nat tptp.suc (tptp.aa_set_nat_nat tptp.lattic8265883725875713057ax_nat S3)))))))
% 16.06/16.31 (assume a9910 (forall ((N tptp.nat) (M2 tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N) tptp.zero_zero_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M2) N) (tptp.aa_set_nat_nat tptp.lattic8265883725875713057ax_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_yu N) M2))))))))
% 16.06/16.31 (assume a9911 (forall ((K2 tptp.num)) (= (tptp.frct (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int K2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat K2)))))
% 16.06/16.31 (assume a9912 (forall ((P2 tptp.product_prod_int_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.product_snd_int_int P2))) (= (tptp.aa_Pro6970504127699319548nt_int tptp.normalize P2) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.product_fst_int_int P2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.gcd_gcd_int (tptp.product_fst_int_int P2)) (tptp.product_snd_int_int P2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.product_snd_int_int P2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.gcd_gcd_int (tptp.product_fst_int_int P2)) (tptp.product_snd_int_int P2)))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.product_snd_int_int P2)))) (and (=> (= (tptp.product_snd_int_int P2) tptp.zero_zero_int) (= (tptp.aa_Pro6970504127699319548nt_int tptp.normalize P2) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int))) (=> (not (= (tptp.product_snd_int_int P2) tptp.zero_zero_int)) (= (tptp.aa_Pro6970504127699319548nt_int tptp.normalize P2) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.product_fst_int_int P2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.gcd_gcd_int (tptp.product_fst_int_int P2)) (tptp.product_snd_int_int P2))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.product_snd_int_int P2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.gcd_gcd_int (tptp.product_fst_int_int P2)) (tptp.product_snd_int_int P2))))))))))))
% 16.06/16.31 (assume a9913 (forall ((X3 tptp.int) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.gcd_gcd_int X3) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.gcd_gcd_int X3) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 16.06/16.31 (assume a9914 (forall ((N tptp.num) (X3 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.gcd_gcd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.gcd_gcd_int (tptp.aa_num_int tptp.numeral_numeral_int N)) X3))))
% 16.06/16.31 (assume a9915 (forall ((A tptp.int)) (= (tptp.frct (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) tptp.zero_zero_int)) tptp.zero_zero_rat)))
% 16.06/16.31 (assume a9916 (forall ((A tptp.int)) (= (tptp.frct (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) A)) tptp.zero_zero_rat)))
% 16.06/16.31 (assume a9917 (forall ((A tptp.int) (B tptp.int)) (= (tptp.frct (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.frct (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B))))))
% 16.06/16.31 (assume a9918 (forall ((A tptp.int) (B tptp.int)) (= (tptp.frct (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) (tptp.aa_int_int tptp.uminus_uminus_int B))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.frct (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B))))))
% 16.06/16.31 (assume a9919 (= (tptp.frct (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.one_one_int)) tptp.one_one_rat))
% 16.06/16.31 (assume a9920 (forall ((K2 tptp.num)) (= (tptp.frct (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_num_int tptp.numeral_numeral_int K2)) tptp.one_one_int)) (tptp.aa_num_rat tptp.numeral_numeral_rat K2))))
% 16.06/16.31 (assume a9921 (forall ((K2 tptp.num) (L tptp.num)) (= (tptp.frct (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_num_int tptp.numeral_numeral_int K2)) (tptp.aa_num_int tptp.numeral_numeral_int L))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2)) (tptp.aa_num_rat tptp.numeral_numeral_rat L)))))
% 16.06/16.31 (assume a9922 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X3) Xa2)) (tptp.pp Y)) (=> (=> (exists ((Uu tptp.bool) (Uv tptp.bool)) (= X3 (tptp.vEBT_Leaf Uu Uv))) (= (tptp.pp Y) (not (= Xa2 tptp.one_one_nat)))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Mima Deg2 TreeList2 Summary3)) (= (tptp.pp Y) (not (and (= Deg2 Xa2) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_yv Deg2) TreeList2) Summary3))) Mima))))))))))))
% 16.06/16.31 (assume a9923 (forall ((M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat M2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 16.06/16.31 (assume a9924 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat A) B)) A)))))
% 16.06/16.31 (assume a9925 (forall ((B tptp.nat) (A tptp.nat)) (=> (not (= B tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat A) B)) B)))))
% 16.06/16.31 (assume a9926 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M2)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat M2) N)))))
% 16.06/16.31 (assume a9927 (forall ((N tptp.nat) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) N)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat M2) N)))))
% 16.06/16.31 (assume a9928 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc L)) U) (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat L) U))))
% 16.06/16.31 (assume a9929 (forall ((A4 tptp.set_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat A3) A4)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat B3) A4)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat A3) B3)) A4))))) (=> (not (= A4 tptp.bot_bot_set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_set_nat_nat tptp.gcd_Gcd_nat A4)) A4))))))
% 16.06/16.31 (assume a9930 (forall ((P tptp.fun_nat_bool) (K2 tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K2)) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) B)))) (tptp.pp (tptp.aa_nat_bool P (tptp.order_Greatest_nat P)))))))
% 16.06/16.31 (assume a9931 (forall ((P tptp.fun_nat_bool) (K2 tptp.nat) (B tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K2)) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) B)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) (tptp.order_Greatest_nat P)))))))
% 16.06/16.31 (assume a9932 (forall ((P tptp.fun_nat_bool) (B tptp.nat)) (=> (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_1))) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) B)))) (tptp.pp (tptp.aa_nat_bool P (tptp.order_Greatest_nat P)))))))
% 16.06/16.31 (assume a9933 (forall ((A tptp.nat) (B tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (exists ((X5 tptp.nat) (Y3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) Y3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat A) B)))))))
% 16.06/16.31 (assume a9934 (forall ((B tptp.nat) (A tptp.nat)) (exists ((X5 tptp.nat) (Y3 tptp.nat)) (or (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) Y3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X5))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X5)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) Y3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat A) B))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) X5))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B) X5)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat A) B)))))))
% 16.06/16.31 (assume a9935 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc I)) J)) (= (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat I) J)) (tptp.cons_nat (tptp.aa_nat_nat tptp.suc I) (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat (tptp.aa_nat_nat tptp.suc I)) J)))))))
% 16.06/16.31 (assume a9936 (forall ((N tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I))) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat I) J))) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) N))))))
% 16.06/16.31 (assume a9937 (forall ((Mima2 tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (Deg3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid (tptp.vEBT_Node Mima2 Deg TreeList Summary)) Deg3)) (and (= Deg Deg3) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_yv Deg) TreeList) Summary))) Mima2))))))
% 16.06/16.31 (assume a9938 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X3) Xa2))) (=> (=> (exists ((Uu tptp.bool) (Uv tptp.bool)) (= X3 (tptp.vEBT_Leaf Uu Uv))) (= Xa2 tptp.one_one_nat)) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Mima Deg2 TreeList2 Summary3)) (and (= Deg2 Xa2) (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_yv Deg2) TreeList2) Summary3))) Mima))))))))))
% 16.06/16.31 (assume a9939 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X3) Xa2)) (=> (=> (exists ((Uu tptp.bool) (Uv tptp.bool)) (= X3 (tptp.vEBT_Leaf Uu Uv))) (not (= Xa2 tptp.one_one_nat))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Mima Deg2 TreeList2 Summary3)) (not (and (= Deg2 Xa2) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_yv Deg2) TreeList2) Summary3))) Mima)))))))))))
% 16.06/16.31 (assume a9940 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X3) Xa2))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf Uu Uv)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) Xa2)) (= Xa2 tptp.one_one_nat)))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Mima Deg2 TreeList2 Summary3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Mima Deg2 TreeList2 Summary3) Xa2)) (and (= Deg2 Xa2) (forall ((X5 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X5) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_yv Deg2) TreeList2) Summary3))) Mima))))))))))))
% 16.06/16.31 (assume a9941 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X3) Xa2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf Uu Uv)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) Xa2)) (not (= Xa2 tptp.one_one_nat))))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Mima Deg2 TreeList2 Summary3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Mima Deg2 TreeList2 Summary3) Xa2)) (not (and (= Deg2 Xa2) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_yv Deg2) TreeList2) Summary3))) Mima)))))))))))))
% 16.06/16.31 (assume a9942 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X3) Xa2)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat X3 Xa2)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf Uu Uv)) (=> (= (tptp.pp Y) (= Xa2 tptp.one_one_nat)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) Xa2)))))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Mima Deg2 TreeList2 Summary3)) (=> (= (tptp.pp Y) (and (= Deg2 Xa2) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_opt6800557945374683724t_bool (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_yv Deg2) TreeList2) Summary3))) Mima)))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Mima Deg2 TreeList2 Summary3) Xa2))))))))))))
% 16.06/16.31 (assume a9943 (forall ((X3 tptp.nat) (Xa2 tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat X3) Xa2) Y) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.gcd_nat_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) Xa2))) (not (=> (and (=> (= Xa2 tptp.zero_zero_nat) (= Y X3)) (=> (not (= Xa2 tptp.zero_zero_nat)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat Xa2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X3) Xa2))))) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.gcd_nat_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) Xa2))))))))))
% 16.06/16.31 (assume a9944 (forall ((K2 tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atLeast_nat (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_nat_set_nat tptp.set_or1210151606488870762an_nat K2))))
% 16.06/16.31 (assume a9945 (forall ((K2 tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atLeast_nat (tptp.aa_nat_nat tptp.suc K2)) (tptp.aa_set_nat_set_nat (tptp.aa_set2309701074089104077et_nat tptp.minus_minus_set_nat (tptp.aa_nat_set_nat tptp.set_ord_atLeast_nat K2)) (tptp.insert_nat K2 tptp.bot_bot_set_nat)))))
% 16.06/16.31 (assume a9946 (forall ((X3 tptp.int) (Xa2 tptp.int) (Y tptp.list_int)) (=> (= (tptp.upto X3 Xa2) Y) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X3) Xa2))) (not (=> (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Xa2)) (= Y (tptp.cons_int X3 (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) tptp.one_one_int) Xa2)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Xa2))) (= Y tptp.nil_int))) (not (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int X3) Xa2))))))))))
% 16.06/16.31 (assume a9947 (forall ((I tptp.int) (J tptp.int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.accp_P1096762738010456898nt_int tptp.upto_rel) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int I) J))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (= (tptp.upto I J) (tptp.cons_int I (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) tptp.one_one_int) J)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J))) (= (tptp.upto I J) tptp.nil_int))))))
% 16.06/16.31 (assume a9948 (forall ((I tptp.int) (J tptp.int)) (= (tptp.size_size_list_int (tptp.upto I J)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int J) I)) tptp.one_one_int)))))
% 16.06/16.31 (assume a9949 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (= (tptp.upto (tptp.aa_num_int tptp.numeral_numeral_int M2) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.cons_int (tptp.aa_num_int tptp.numeral_numeral_int M2) (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int N))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N)))) (= (tptp.upto (tptp.aa_num_int tptp.numeral_numeral_int M2) (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.nil_int)))))
% 16.06/16.31 (assume a9950 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))) (= (tptp.upto (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.cons_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))))) (= (tptp.upto (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.nil_int)))))
% 16.06/16.31 (assume a9951 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_num_int tptp.numeral_numeral_int N))) (= (tptp.upto (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.cons_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int N))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2))) (tptp.aa_num_int tptp.numeral_numeral_int N)))) (= (tptp.upto (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.nil_int)))))
% 16.06/16.31 (assume a9952 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))) (= (tptp.upto (tptp.aa_num_int tptp.numeral_numeral_int M2) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.cons_int (tptp.aa_num_int tptp.numeral_numeral_int M2) (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))))) (= (tptp.upto (tptp.aa_num_int tptp.numeral_numeral_int M2) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.nil_int)))))
% 16.06/16.31 (assume a9953 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat M2) N)) (tptp.transi6264000038957366511cl_nat tptp.pred_nat))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M2) N)))))
% 16.06/16.31 (assume a9954 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)) (tptp.bfun_nat_real (tptp.power_power_real X3) tptp.at_top_nat)))))
% 16.06/16.31 (assume a9955 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_set_real_bool (tptp.inj_on_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_xa N)) tptp.top_top_set_real)))))
% 16.06/16.31 (assume a9956 (forall ((N5 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on_nat_nat tptp.suc) N5))))
% 16.06/16.31 (assume a9957 (forall ((N5 tptp.set_nat) (K2 tptp.nat)) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat N2) N5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N2)))) (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_wq K2)) N5)))))
% 16.06/16.31 (assume a9958 (tptp.inj_on_set_nat_nat tptp.nat_set_encode (tptp.collect_set_nat tptp.finite_finite_nat)))
% 16.06/16.31 (assume a9959 (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on_nat_char tptp.unique3096191561947761185of_nat) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 16.06/16.31 (assume a9960 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat M2) N)) (tptp.transi2905341329935302413cl_nat tptp.pred_nat))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.31 (assume a9961 (tptp.filter3212408913953519116et_nat tptp.set_ord_lessThan_nat (tptp.finite3254316476582989077op_nat tptp.top_top_set_nat) tptp.at_top_nat))
% 16.06/16.31 (assume a9962 (tptp.filter3212408913953519116et_nat tptp.set_ord_atMost_nat (tptp.finite3254316476582989077op_nat tptp.top_top_set_nat) tptp.at_top_nat))
% 16.06/16.31 (assume a9963 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_nat_nat tptp.suc M2)) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M2) N)))))
% 16.06/16.31 (assume a9964 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)))
% 16.06/16.31 (assume a9965 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat N) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 16.06/16.31 (assume a9966 (forall ((K2 tptp.num) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_num_nat tptp.pred_numeral K2)) N)))))
% 16.06/16.31 (assume a9967 (forall ((N tptp.nat) (K2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat K2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat N) (tptp.aa_num_nat tptp.pred_numeral K2))))))
% 16.06/16.31 (assume a9968 (forall ((M2 tptp.nat) (I tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M2) I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M2) N)) I))))
% 16.06/16.31 (assume a9969 (= tptp.inf_inf_nat tptp.ord_min_nat))
% 16.06/16.31 (assume a9970 (forall ((M2 tptp.nat) (N tptp.nat) (Q3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat N) Q3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) Q3)))))
% 16.06/16.31 (assume a9971 (forall ((M2 tptp.nat) (N tptp.nat) (Q3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M2) N)) Q3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M2) Q3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q3)))))
% 16.06/16.31 (assume a9972 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_nat_nat tptp.suc N)) M2) (tptp.aa_nat_nat (tptp.case_nat_nat tptp.zero_zero_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_yw N)) M2))))
% 16.06/16.31 (assume a9973 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M2) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.case_nat_nat tptp.zero_zero_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_yx N)) M2))))
% 16.06/16.31 (assume a9974 (forall ((M2 tptp.nat) (I tptp.nat) (J tptp.nat)) (= (tptp.drop_nat M2 (tptp.upt I J)) (tptp.upt (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) M2) J))))
% 16.06/16.31 (assume a9975 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.size_size_list_nat (tptp.upt I J)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I))))
% 16.06/16.31 (assume a9976 (forall ((I tptp.nat) (M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) M2)) N)) (= (tptp.take_nat M2 (tptp.upt I N)) (tptp.upt I (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) M2))))))
% 16.06/16.31 (assume a9977 (forall ((J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I)) (= (tptp.upt I J) tptp.nil_nat))))
% 16.06/16.31 (assume a9978 (forall ((I tptp.nat) (J tptp.nat)) (= (= (tptp.upt I J) tptp.nil_nat) (or (= J tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I))))))
% 16.06/16.31 (assume a9979 (forall ((I tptp.nat) (K2 tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)) J)) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.upt I J)) K2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2)))))
% 16.06/16.31 (assume a9980 (forall ((M2 tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (= (tptp.upt (tptp.aa_num_nat tptp.numeral_numeral_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.cons_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2) (tptp.upt (tptp.aa_nat_nat tptp.suc (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))) (= (tptp.upt (tptp.aa_num_nat tptp.numeral_numeral_nat M2) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) tptp.nil_nat)))))
% 16.06/16.31 (assume a9981 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.map_nat_nat tptp.suc (tptp.upt M2 N)) (tptp.upt (tptp.aa_nat_nat tptp.suc M2) (tptp.aa_nat_nat tptp.suc N)))))
% 16.06/16.31 (assume a9982 (forall ((M2 tptp.nat) (N tptp.nat) (Ns tptp.list_nat) (Q3 tptp.nat)) (= (= (tptp.cons_nat M2 (tptp.cons_nat N Ns)) (tptp.upt M2 Q3)) (= (tptp.cons_nat N Ns) (tptp.upt (tptp.aa_nat_nat tptp.suc M2) Q3)))))
% 16.06/16.31 (assume a9983 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M2) (tptp.set_nat2 (tptp.upt N (tptp.aa_nat_nat tptp.suc M2))))))
% 16.06/16.31 (assume a9984 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat N) M2) (tptp.set_nat2 (tptp.upt (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_nat tptp.suc M2))))))
% 16.06/16.31 (assume a9985 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.map_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_yy N) (tptp.upt tptp.zero_zero_nat M2)) (tptp.upt N (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)))))
% 16.06/16.31 (assume a9986 (forall ((N tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat N) M2) (tptp.set_nat2 (tptp.upt (tptp.aa_nat_nat tptp.suc N) M2)))))
% 16.06/16.31 (assume a9987 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N) (tptp.set_nat2 (tptp.upt tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc N))))))
% 16.06/16.31 (assume a9988 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (= (tptp.upt I J) (tptp.cons_nat I (tptp.upt (tptp.aa_nat_nat tptp.suc I) J))))))
% 16.06/16.31 (assume a9989 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.map_nat_nat tptp.aTP_Lamm_yz (tptp.upt (tptp.aa_nat_nat tptp.suc M2) (tptp.aa_nat_nat tptp.suc N))) (tptp.upt M2 N))))
% 16.06/16.31 (assume a9990 (forall ((I tptp.nat) (J tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.upt I (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K2)) (tptp.append_nat (tptp.upt I J) (tptp.upt J (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K2)))))))
% 16.06/16.31 (assume a9991 (forall ((I tptp.nat) (J tptp.nat) (X3 tptp.nat) (Xs tptp.list_nat)) (= (= (tptp.upt I J) (tptp.cons_nat X3 Xs)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (= I X3) (= (tptp.upt (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) tptp.one_one_nat) J) Xs)))))
% 16.06/16.31 (assume a9992 (forall ((I tptp.nat) (J tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (= (tptp.upt I J) (tptp.cons_nat I (tptp.upt (tptp.aa_nat_nat tptp.suc I) J)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J))) (= (tptp.upt I J) tptp.nil_nat)))))
% 16.06/16.31 (assume a9993 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.upt I (tptp.aa_nat_nat tptp.suc J)) (tptp.append_nat (tptp.upt I J) (tptp.cons_nat J tptp.nil_nat))))))
% 16.06/16.31 (assume a9994 (forall ((I tptp.nat) (J tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.upt I (tptp.aa_nat_nat tptp.suc J)) (tptp.append_nat (tptp.upt I J) (tptp.cons_nat J tptp.nil_nat)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J))) (= (tptp.upt I (tptp.aa_nat_nat tptp.suc J)) tptp.nil_nat)))))
% 16.06/16.31 (assume a9995 (forall ((M2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)) (= (tptp.groups4561878855575611511st_nat (tptp.upt M2 N)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_mg) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M2) N))))))
% 16.06/16.31 (assume a9996 (forall ((M2 tptp.nat) (N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) M2)) (= (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_za M2) N5))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_zb M2) N5)))) (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_zc M2) N5))))))))
% 16.06/16.31 (assume a9997 (forall ((M2 tptp.nat) (N5 tptp.nat)) (= (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_za M2) N5))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N5) M2)) tptp.one_one_nat)) N5))))
% 16.06/16.31 (assume a9998 (forall ((M2 tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_list_nat_bool (tptp.sorted_wrt_nat tptp.ord_less_eq_nat) (tptp.upt M2 N)))))
% 16.06/16.31 (assume a9999 (forall ((Ns tptp.list_nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_list_nat_bool (tptp.sorted_wrt_nat tptp.ord_less_nat) Ns)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_nat Ns))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) (tptp.aa_nat_nat (tptp.nth_nat Ns) I)))))))
% 16.06/16.31 (assume a10000 (tptp.order_mono_nat_nat tptp.suc))
% 16.06/16.31 (assume a10001 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.order_mono_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N)))))
% 16.06/16.31 (assume a10002 (forall ((K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K2)) (tptp.order_mono_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_zd K2)))))
% 16.06/16.31 (assume a10003 (forall ((K2 tptp.nat) (M2 tptp.nat)) (= (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.nat_prod_decode_aux K2) M2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.nat_triangle K2)) M2))))
% 16.06/16.31 (assume a10004 (forall ((X3 tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (= (= (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode X3) (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode Y)) (= X3 Y))))
% 16.06/16.31 (assume a10005 (= (tptp.image_2486076414777270412at_nat tptp.nat_prod_encode tptp.top_to4669805908274784177at_nat) tptp.top_top_set_nat))
% 16.06/16.31 (assume a10006 (tptp.pp (tptp.aa_set_nat_bool (tptp.bij_be5333170631980326235at_nat tptp.nat_prod_encode tptp.top_to4669805908274784177at_nat) tptp.top_top_set_nat)))
% 16.06/16.31 (assume a10007 (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.inj_on2178005380612969504at_nat tptp.nat_prod_encode) A4))))
% 16.06/16.31 (assume a10008 (forall ((B tptp.nat) (A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B))))))
% 16.06/16.31 (assume a10009 (forall ((A tptp.nat) (B tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B))))))
% 16.06/16.31 (assume a10010 (= tptp.nat_prod_encode (tptp.produc6842872674320459806at_nat tptp.aTP_Lamm_ze)))
% 16.06/16.31 (assume a10011 (forall ((X3 tptp.list_nat) (Y tptp.nat)) (=> (= (tptp.aa_list_nat_nat tptp.nat_list_encode X3) Y) (=> (=> (= X3 tptp.nil_nat) (not (= Y tptp.zero_zero_nat))) (not (forall ((X5 tptp.nat) (Xs2 tptp.list_nat)) (=> (= X3 (tptp.cons_nat X5 Xs2)) (not (= Y (tptp.aa_nat_nat tptp.suc (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) (tptp.aa_list_nat_nat tptp.nat_list_encode Xs2)))))))))))))
% 16.06/16.31 (assume a10012 (forall ((A4 tptp.set_list_nat)) (tptp.inj_on_list_nat_nat tptp.nat_list_encode A4)))
% 16.06/16.31 (assume a10013 (forall ((X3 tptp.list_nat) (Y tptp.list_nat)) (= (= (tptp.aa_list_nat_nat tptp.nat_list_encode X3) (tptp.aa_list_nat_nat tptp.nat_list_encode Y)) (= X3 Y))))
% 16.06/16.31 (assume a10014 (tptp.pp (tptp.aa_set_nat_bool (tptp.bij_be8532844293280997160at_nat tptp.nat_list_encode tptp.top_top_set_list_nat) tptp.top_top_set_nat)))
% 16.06/16.31 (assume a10015 (= (tptp.image_list_nat_nat tptp.nat_list_encode tptp.top_top_set_list_nat) tptp.top_top_set_nat))
% 16.06/16.31 (assume a10016 (= (tptp.aa_list_nat_nat tptp.nat_list_encode tptp.nil_nat) tptp.zero_zero_nat))
% 16.06/16.31 (assume a10017 (forall ((X3 tptp.nat) (Xs tptp.list_nat)) (= (tptp.aa_list_nat_nat tptp.nat_list_encode (tptp.cons_nat X3 Xs)) (tptp.aa_nat_nat tptp.suc (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) (tptp.aa_list_nat_nat tptp.nat_list_encode Xs)))))))
% 16.06/16.31 (assume a10018 (forall ((X3 tptp.list_nat) (Y tptp.nat)) (=> (= (tptp.aa_list_nat_nat tptp.nat_list_encode X3) Y) (=> (tptp.pp (tptp.aa_list_nat_bool (tptp.accp_list_nat tptp.nat_list_encode_rel) X3)) (=> (=> (= X3 tptp.nil_nat) (=> (= Y tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_list_nat_bool (tptp.accp_list_nat tptp.nat_list_encode_rel) tptp.nil_nat))))) (not (forall ((X5 tptp.nat) (Xs2 tptp.list_nat)) (=> (= X3 (tptp.cons_nat X5 Xs2)) (=> (= Y (tptp.aa_nat_nat tptp.suc (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X5) (tptp.aa_list_nat_nat tptp.nat_list_encode Xs2))))) (not (tptp.pp (tptp.aa_list_nat_bool (tptp.accp_list_nat tptp.nat_list_encode_rel) (tptp.cons_nat X5 Xs2)))))))))))))
% 16.06/16.31 (assume a10019 (forall ((X3 tptp.num) (Xa2 tptp.num) (Y tptp.option_num)) (=> (= (tptp.bit_and_not_num X3 Xa2) Y) (=> (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel) (tptp.product_Pair_num_num X3 Xa2))) (=> (=> (= X3 tptp.one) (=> (= Xa2 tptp.one) (=> (= Y tptp.none_num) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel) (tptp.product_Pair_num_num tptp.one tptp.one))))))) (=> (=> (= X3 tptp.one) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (=> (= Y (tptp.some_num tptp.one)) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel) (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit0 N2))))))))) (=> (=> (= X3 tptp.one) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (=> (= Y tptp.none_num) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel) (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit1 N2))))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (=> (= Xa2 tptp.one) (=> (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M) tptp.one)))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M N2))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 N2)))))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M N2))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N2)))))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (=> (= Xa2 tptp.one) (=> (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M) tptp.one)))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (=> (= Y (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_wt (tptp.bit_and_not_num M N2))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 N2)))))))))) (not (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M N2))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N2)))))))))))))))))))))))
% 16.06/16.31 (assume a10020 (forall ((X3 tptp.num) (Xa2 tptp.num) (Y tptp.option_num)) (=> (= (tptp.bit_un7362597486090784418nd_num X3 Xa2) Y) (=> (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel) (tptp.product_Pair_num_num X3 Xa2))) (=> (=> (= X3 tptp.one) (=> (= Xa2 tptp.one) (=> (= Y (tptp.some_num tptp.one)) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel) (tptp.product_Pair_num_num tptp.one tptp.one))))))) (=> (=> (= X3 tptp.one) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (=> (= Y tptp.none_num) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel) (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit0 N2))))))))) (=> (=> (= X3 tptp.one) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (=> (= Y (tptp.some_num tptp.one)) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel) (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit1 N2))))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (=> (= Xa2 tptp.one) (=> (= Y tptp.none_num) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M) tptp.one)))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_un7362597486090784418nd_num M N2))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 N2)))))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_un7362597486090784418nd_num M N2))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N2)))))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (=> (= Xa2 tptp.one) (=> (= Y (tptp.some_num tptp.one)) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M) tptp.one)))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_un7362597486090784418nd_num M N2))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 N2)))))))))) (not (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (=> (= Y (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_wt (tptp.bit_un7362597486090784418nd_num M N2))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N2)))))))))))))))))))))))
% 16.06/16.31 (assume a10021 (forall ((X3 tptp.num) (Xa2 tptp.num) (Y tptp.option_num)) (=> (= (tptp.bit_un2480387367778600638or_num X3 Xa2) Y) (=> (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel) (tptp.product_Pair_num_num X3 Xa2))) (=> (=> (= X3 tptp.one) (=> (= Xa2 tptp.one) (=> (= Y tptp.none_num) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel) (tptp.product_Pair_num_num tptp.one tptp.one))))))) (=> (=> (= X3 tptp.one) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (=> (= Y (tptp.some_num (tptp.aa_num_num tptp.bit1 N2))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel) (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit0 N2))))))))) (=> (=> (= X3 tptp.one) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (=> (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 N2))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel) (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit1 N2))))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (=> (= Xa2 tptp.one) (=> (= Y (tptp.some_num (tptp.aa_num_num tptp.bit1 M))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M) tptp.one)))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_un2480387367778600638or_num M N2))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 N2)))))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (=> (= Y (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_un2480387367778600638or_num M N2)))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N2)))))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (=> (= Xa2 tptp.one) (=> (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M) tptp.one)))))))) (=> (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 N2)) (=> (= Y (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_un2480387367778600638or_num M N2)))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 N2)))))))))) (not (forall ((M tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 M)) (forall ((N2 tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 N2)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_un2480387367778600638or_num M N2))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N2)))))))))))))))))))))))
% 16.06/16.31 (assume a10022 (forall ((X3 tptp.num) (Xa2 tptp.num) (Y tptp.num)) (=> (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg X3) Xa2) Y) (=> (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel) (tptp.product_Pair_num_num X3 Xa2))) (=> (=> (= X3 tptp.one) (=> (= Xa2 tptp.one) (=> (= Y tptp.one) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel) (tptp.product_Pair_num_num tptp.one tptp.one))))))) (=> (=> (= X3 tptp.one) (forall ((M tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 M)) (=> (= Y (tptp.aa_num_num tptp.bit1 M)) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel) (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit0 M))))))))) (=> (=> (= X3 tptp.one) (forall ((M tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 M)) (=> (= Y (tptp.aa_num_num tptp.bit1 M)) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel) (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit1 M))))))))) (=> (forall ((N2 tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 N2)) (=> (= Xa2 tptp.one) (=> (= Y (tptp.aa_num_num tptp.bit0 tptp.one)) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 N2) tptp.one)))))))) (=> (forall ((N2 tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 N2)) (forall ((M tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 M)) (=> (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N2) M))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 N2) (tptp.aa_num_num tptp.bit0 M)))))))))) (=> (forall ((N2 tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit0 N2)) (forall ((M tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 M)) (=> (= Y (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N2) M))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 N2) (tptp.aa_num_num tptp.bit1 M)))))))))) (=> (forall ((N2 tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 N2)) (=> (= Xa2 tptp.one) (=> (= Y tptp.one) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 N2) tptp.one)))))))) (=> (forall ((N2 tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 N2)) (forall ((M tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit0 M)) (=> (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N2) M))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 N2) (tptp.aa_num_num tptp.bit0 M)))))))))) (not (forall ((N2 tptp.num)) (=> (= X3 (tptp.aa_num_num tptp.bit1 N2)) (forall ((M tptp.num)) (=> (= Xa2 (tptp.aa_num_num tptp.bit1 M)) (=> (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.bit_or_not_num_neg N2) M))) (not (tptp.pp (tptp.aa_Pro762926636801165566m_bool (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel) (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 N2) (tptp.aa_num_num tptp.bit1 M)))))))))))))))))))))))
% 16.06/16.31 (assume a10023 (forall ((N tptp.nat)) (= (tptp.field_nat (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_zf N)))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_mb N)))))
% 16.06/16.31 (assume a10024 (forall ((F tptp.fun_nat_nat) (N tptp.nat)) (=> (tptp.order_5726023648592871131at_nat F) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat F N))))))
% 16.06/16.31 (assume a10025 (forall ((R2 tptp.real) (A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex (tptp.rcis R2) A)) N) (tptp.aa_real_complex (tptp.rcis (tptp.aa_nat_real (tptp.power_power_real R2) N)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) A)))))
% 16.06/16.31 (assume a10026 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.divmod_nat M2 N) (tptp.produc8678311845419106900er_nat tptp.code_nat_of_integer tptp.code_nat_of_integer (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer (tptp.aa_nat_Code_integer tptp.code_integer_of_nat M2)) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger tptp.zero_z3403309356797280102nteger) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer (tptp.aa_nat_Code_integer tptp.code_integer_of_nat N)) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.aa_nat_Code_integer tptp.code_integer_of_nat M2)) (tptp.code_divmod_abs (tptp.aa_nat_Code_integer tptp.code_integer_of_nat M2) (tptp.aa_nat_Code_integer tptp.code_integer_of_nat N))))))))
% 16.06/16.31 (assume a10027 (forall ((N tptp.num)) (= (tptp.aa_nat_Code_integer tptp.code_integer_of_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger N))))
% 16.06/16.31 (assume a10028 (forall ((P tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.eventu1038000079068216329at_nat P (tptp.prod_filter_nat_nat tptp.at_top_nat tptp.at_top_nat)) (exists ((N9 tptp.nat)) (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N9) M5)) (forall ((N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N9) N4)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat N4) M5)))))))))))
% 16.06/16.31 (assume a10029 (forall ((S3 tptp.set_nat) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.infini8530281810654367211te_nat S3) N))))))
% 16.06/16.31 (assume a10030 (forall ((S3 tptp.set_nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat S3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_set_nat_nat tptp.finite_card_nat S3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.infini8530281810654367211te_nat S3) N)))))))
% 16.06/16.31 (assume a10031 (forall ((M2 tptp.nat)) (= (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_rz M2))) (tptp.produc457027306803732586at_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M2) (tptp.aTP_Lamm_zg M2)))))
% 16.06/16.31 (assume a10032 (forall ((P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (= (tptp.ord_Least_nat P) tptp.zero_zero_nat))))
% 16.06/16.31 (assume a10033 (forall ((P tptp.fun_nat_bool) (N tptp.nat) (Q tptp.fun_nat_bool) (M2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (tptp.pp (tptp.aa_nat_bool Q M2)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (=> (forall ((K tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc K))) (tptp.pp (tptp.aa_nat_bool Q K)))) (= (tptp.ord_Least_nat P) (tptp.aa_nat_nat tptp.suc (tptp.ord_Least_nat Q)))))))))
% 16.06/16.31 (assume a10034 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (= (tptp.ord_Least_nat P) (tptp.aa_nat_nat tptp.suc (tptp.ord_Least_nat (tptp.aTP_Lamm_ys P))))))))
% 16.06/16.31 (assume a10035 (forall ((A4 tptp.set_nat)) (= (tptp.vimage_nat_nat tptp.suc (tptp.insert_nat tptp.zero_zero_nat A4)) (tptp.vimage_nat_nat tptp.suc A4))))
% 16.06/16.31 (assume a10036 (forall ((F4 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat (tptp.vimage_nat_nat tptp.suc F4))) (tptp.pp (tptp.aa_set_nat_bool tptp.finite_finite_nat F4)))))
% 16.06/16.31 (assume a10037 (forall ((N tptp.nat) (A4 tptp.set_nat)) (= (tptp.vimage_nat_nat tptp.suc (tptp.insert_nat (tptp.aa_nat_nat tptp.suc N) A4)) (tptp.insert_nat N (tptp.vimage_nat_nat tptp.suc A4)))))
% 16.06/16.31 (assume a10038 (forall ((X3 tptp.nat)) (= (tptp.aa_nat_set_nat tptp.nat_set_decode (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vimage_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.nat_set_decode X3)))))
% 16.06/16.31 (assume a10039 (forall ((A4 tptp.set_nat)) (= (tptp.aa_set_nat_nat tptp.nat_set_encode (tptp.vimage_nat_nat tptp.suc A4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_set_nat_nat tptp.nat_set_encode A4)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.31 (assume a10040 (forall ((N tptp.nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat tptp.bNF_Ca8665028551170535155natLeq) (tptp.produc457027306803732586at_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_mb N)) (tptp.aTP_Lamm_zh N))) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_zf N))))))
% 16.06/16.31 (assume a10041 (= tptp.bNF_Ca8665028551170535155natLeq (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool tptp.ord_less_eq_nat))))
% 16.06/16.31 (assume a10042 (forall ((N tptp.nat)) (= (tptp.aa_set8868280134176360700at_nat (tptp.aa_set3608868651603078568at_nat tptp.inf_in2572325071724192079at_nat tptp.bNF_Ca8665028551170535155natLeq) (tptp.produc457027306803732586at_nat (tptp.aa_nat_set_nat (tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq) N) (tptp.aTP_Lamm_zi N))) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_zf N))))))
% 16.06/16.31 (assume a10043 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.tl_nat (tptp.upt M2 N)) (tptp.upt (tptp.aa_nat_nat tptp.suc M2) N))))
% 16.06/16.31 (assume a10044 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.sqr (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num tptp.sqr N)) N))))))
% 16.06/16.31 (assume a10045 (= (tptp.aa_num_num tptp.sqr tptp.one) tptp.one))
% 16.06/16.31 (assume a10046 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.sqr (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.sqr N))))))
% 16.06/16.31 (assume a10047 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow X3) (tptp.aa_num_num tptp.bit0 Y)) (tptp.aa_num_num tptp.sqr (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.pow X3) Y)))))
% 16.06/16.31 (assume a10048 (forall ((Y tptp.bool) (P tptp.fun_bool_bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Y) (tptp.insert_bool tptp.fTrue tptp.bot_bot_set_bool))) (=> (forall ((X5 tptp.product_unit)) (tptp.pp (tptp.aa_bool_bool P (tptp.aa_Product_unit_bool tptp.product_Rep_unit X5)))) (tptp.pp (tptp.aa_bool_bool P Y))))))
% 16.06/16.31 (assume a10049 (forall ((X3 tptp.bool) (Y tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool X3) (tptp.insert_bool tptp.fTrue tptp.bot_bot_set_bool))) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Y) (tptp.insert_bool tptp.fTrue tptp.bot_bot_set_bool))) (= (= (tptp.aa_bool_Product_unit tptp.product_Abs_unit X3) (tptp.aa_bool_Product_unit tptp.product_Abs_unit Y)) (= (tptp.pp X3) (tptp.pp Y)))))))
% 16.06/16.31 (assume a10050 (forall ((Y tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Y) (tptp.insert_bool tptp.fTrue tptp.bot_bot_set_bool))) (= (tptp.pp (tptp.aa_Product_unit_bool tptp.product_Rep_unit (tptp.aa_bool_Product_unit tptp.product_Abs_unit Y))) (tptp.pp Y)))))
% 16.06/16.31 (assume a10051 (forall ((X3 tptp.product_unit) (Y tptp.product_unit)) (= (= (tptp.pp (tptp.aa_Product_unit_bool tptp.product_Rep_unit X3)) (tptp.pp (tptp.aa_Product_unit_bool tptp.product_Rep_unit Y))) (= X3 Y))))
% 16.06/16.31 (assume a10052 (forall ((X3 tptp.product_unit)) (= (tptp.aa_bool_Product_unit tptp.product_Abs_unit (tptp.aa_Product_unit_bool tptp.product_Rep_unit X3)) X3)))
% 16.06/16.31 (assume a10053 (forall ((X3 tptp.product_unit)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool (tptp.aa_Product_unit_bool tptp.product_Rep_unit X3)) (tptp.insert_bool tptp.fTrue tptp.bot_bot_set_bool)))))
% 16.06/16.31 (assume a10054 (forall ((X3 tptp.product_unit)) (not (forall ((Y3 tptp.bool)) (=> (= X3 (tptp.aa_bool_Product_unit tptp.product_Abs_unit Y3)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Y3) (tptp.insert_bool tptp.fTrue tptp.bot_bot_set_bool)))))))))
% 16.06/16.31 (assume a10055 (forall ((Y tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Y) (tptp.insert_bool tptp.fTrue tptp.bot_bot_set_bool))) (not (forall ((X5 tptp.product_unit)) (= (tptp.pp Y) (not (tptp.pp (tptp.aa_Product_unit_bool tptp.product_Rep_unit X5)))))))))
% 16.06/16.31 (assume a10056 (forall ((P tptp.fun_Pr1572506220757514509t_bool) (X3 tptp.product_unit)) (=> (forall ((Y3 tptp.bool)) (=> (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Y3) (tptp.insert_bool tptp.fTrue tptp.bot_bot_set_bool))) (tptp.pp (tptp.aa_Product_unit_bool P (tptp.aa_bool_Product_unit tptp.product_Abs_unit Y3))))) (tptp.pp (tptp.aa_Product_unit_bool P X3)))))
% 16.06/16.31 (assume a10057 (tptp.pp (tptp.aa_set_bool_bool (tptp.type_d5772988228442255350t_bool tptp.product_Rep_unit tptp.product_Abs_unit) (tptp.insert_bool tptp.fTrue tptp.bot_bot_set_bool))))
% 16.06/16.31 (assume a10058 (= tptp.zero_zero_rat (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int))))
% 16.06/16.31 (assume a10059 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.bNF_We3818239936649020644el_nat (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_zf N)))))))
% 16.06/16.31 (assume a10060 (= tptp.one_one_rat (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.one_one_int))))
% 16.06/16.31 (assume a10061 (forall ((Xa2 tptp.product_prod_int_int) (X3 tptp.product_prod_int_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel Xa2) Xa2)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel X3) X3)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat Xa2)) (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat X3)) (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Xa2)) (tptp.product_snd_int_int X3))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int X3)) (tptp.product_snd_int_int Xa2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int Xa2)) (tptp.product_snd_int_int X3)))))))))
% 16.06/16.31 (assume a10062 (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.one_one_int)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.one_one_int))))
% 16.06/16.31 (assume a10063 (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int))))
% 16.06/16.31 (assume a10064 (forall ((X3 tptp.product_prod_int_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel X3) X3)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat X3)) (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.product_fst_int_int X3))) (tptp.product_snd_int_int X3)))))))
% 16.06/16.31 (assume a10065 (forall ((Xa2 tptp.product_prod_int_int) (X3 tptp.product_prod_int_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel Xa2) Xa2)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel X3) X3)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat Xa2)) (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat X3)) (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Xa2)) (tptp.product_fst_int_int X3))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int Xa2)) (tptp.product_snd_int_int X3)))))))))
% 16.06/16.31 (assume a10066 (forall ((X3 tptp.product_prod_int_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel X3) X3)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat X3)) (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat (tptp.aa_Pro6970504127699319548nt_int (tptp.if_Pro3027730157355071871nt_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.product_fst_int_int X3)) tptp.zero_zero_int) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.product_snd_int_int X3)) (tptp.product_fst_int_int X3))))))))
% 16.06/16.31 (assume a10067 (tptp.pp (tptp.aa_fun1403452029515102102t_bool (tptp.aa_fun8298786006102058668t_bool (tptp.bNF_re7145576690424134365nt_int tptp.ratrel tptp.ratrel) tptp.aTP_Lamm_zj) tptp.aTP_Lamm_zj)))
% 16.06/16.31 (assume a10068 (forall ((F tptp.fun_nat_real) (M7 tptp.nat)) (=> (tptp.bfun_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ib F) M7) tptp.at_top_nat) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M7) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F M)) (tptp.aa_nat_real F N2)))))) (tptp.topolo7531315842566124627t_real F)))))
% 16.06/16.31 (assume a10069 (forall ((X6 tptp.fun_nat_real)) (=> (tptp.bfun_nat_real X6 tptp.at_top_nat) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X6 M)) (tptp.aa_nat_real X6 N2))))) (tptp.topolo7531315842566124627t_real X6)))))
% 16.06/16.31 (assume a10070 (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.one_one_real)) (tptp.topolo7531315842566124627t_real (tptp.power_power_real X3))))))
% 16.06/16.31 (assume a10071 (tptp.pp (tptp.aa_fun1403452029515102102t_bool (tptp.aa_fun8298786006102058668t_bool (tptp.bNF_re7145576690424134365nt_int tptp.ratrel tptp.ratrel) tptp.aTP_Lamm_zk) tptp.aTP_Lamm_zk)))
% 16.06/16.31 (assume a10072 (forall ((F tptp.fun_nat_real) (M7 tptp.nat)) (=> (tptp.bfun_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ib F) M7) tptp.at_top_nat) (=> (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M7) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N2)) (tptp.aa_nat_real F M)))))) (tptp.topolo7531315842566124627t_real F)))))
% 16.06/16.31 (assume a10073 (tptp.bNF_re4734134812813710757nt_int tptp.ratrel (tptp.bNF_re7145576690424134365nt_int tptp.ratrel tptp.ratrel) tptp.aTP_Lamm_zl tptp.aTP_Lamm_zl))
% 16.06/16.31 (assume a10074 (tptp.bNF_re1480548845665215743t_bool tptp.fequal_nat (tptp.bNF_re6223507645442431167l_bool tptp.fequal_nat tptp.fequal_bool) tptp.ord_less_eq_nat tptp.ord_less_eq_nat))
% 16.06/16.31 (assume a10075 (tptp.bNF_re5162689864697376059at_nat tptp.fequal_nat (tptp.bNF_re5653821019739307937at_nat tptp.fequal_nat tptp.fequal_nat) tptp.plus_plus_nat tptp.plus_plus_nat))
% 16.06/16.31 (assume a10076 (tptp.pp (tptp.aa_fun_nat_nat_bool (tptp.aa_fun3185460345579526648t_bool (tptp.bNF_re5653821019739307937at_nat tptp.fequal_nat tptp.fequal_nat) tptp.suc) tptp.suc)))
% 16.06/16.31 (assume a10077 (tptp.bNF_re6378542964492772123um_int tptp.fequal_num (tptp.bNF_re1822329894187522285nt_int tptp.fequal_num tptp.fequal_int) tptp.aTP_Lamm_zm tptp.aTP_Lamm_zm))
% 16.06/16.31 (assume a10078 (tptp.bNF_re4808202430149235895nt_int tptp.fequal_int (tptp.bNF_re6250860962936578807nt_int tptp.fequal_int tptp.ratrel) tptp.aTP_Lamm_zn tptp.aTP_Lamm_zn))
% 16.06/16.31 (assume a10079 (tptp.bNF_re4734134812813710757nt_int tptp.ratrel (tptp.bNF_re7145576690424134365nt_int tptp.ratrel tptp.ratrel) tptp.aTP_Lamm_zo tptp.aTP_Lamm_zo))
% 16.06/16.31 (assume a10080 (tptp.bNF_re6323452265856231590at_rat tptp.pcr_rat (tptp.bNF_re8279943556446156061nt_rat tptp.pcr_rat tptp.pcr_rat) tptp.aTP_Lamm_zl tptp.plus_plus_rat))
% 16.06/16.31 (assume a10081 (tptp.pp (tptp.aa_fun_rat_rat_bool (tptp.aa_fun2103967415933125506t_bool (tptp.bNF_re8279943556446156061nt_rat tptp.pcr_rat tptp.pcr_rat) tptp.aTP_Lamm_zj) tptp.inverse_inverse_rat)))
% 16.06/16.31 (assume a10082 (tptp.pp (tptp.aa_rat_bool (tptp.aa_Pro6332413336323567195t_bool tptp.pcr_rat (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.one_one_int)) tptp.one_one_rat)))
% 16.06/16.31 (assume a10083 (tptp.pp (tptp.aa_rat_bool (tptp.aa_Pro6332413336323567195t_bool tptp.pcr_rat (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int)) tptp.zero_zero_rat)))
% 16.06/16.31 (assume a10084 (tptp.pp (tptp.aa_fun_rat_rat_bool (tptp.aa_fun2103967415933125506t_bool (tptp.bNF_re8279943556446156061nt_rat tptp.pcr_rat tptp.pcr_rat) tptp.aTP_Lamm_zk) tptp.uminus_uminus_rat)))
% 16.06/16.31 (assume a10085 (tptp.bNF_re6323452265856231590at_rat tptp.pcr_rat (tptp.bNF_re8279943556446156061nt_rat tptp.pcr_rat tptp.pcr_rat) tptp.aTP_Lamm_zo tptp.times_times_rat))
% 16.06/16.31 (assume a10086 (tptp.bNF_re8869769828555196650nt_int tptp.pcr_int (tptp.bNF_re7400052026677387805at_int tptp.pcr_int tptp.pcr_int) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_we) tptp.times_times_int))
% 16.06/16.31 (assume a10087 (tptp.bNF_re8869769828555196650nt_int tptp.pcr_int (tptp.bNF_re7400052026677387805at_int tptp.pcr_int tptp.pcr_int) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_wn) tptp.minus_minus_int))
% 16.06/16.31 (assume a10088 (tptp.pp (tptp.aa_int_bool (tptp.aa_Pro2928840338864870335t_bool tptp.pcr_int (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) tptp.zero_zero_nat)) tptp.zero_zero_int)))
% 16.06/16.31 (assume a10089 (tptp.bNF_re6830278522597306478at_int tptp.fequal_nat tptp.pcr_int tptp.aTP_Lamm_zp tptp.semiri1314217659103216013at_int))
% 16.06/16.31 (assume a10090 (tptp.pp (tptp.aa_fun_int_int_bool (tptp.aa_fun7527181275634263258t_bool (tptp.bNF_re7400052026677387805at_int tptp.pcr_int tptp.pcr_int) (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_wf)) tptp.uminus_uminus_int)))
% 16.06/16.31 (assume a10091 (tptp.pp (tptp.aa_int_bool (tptp.aa_Pro2928840338864870335t_bool tptp.pcr_int (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.one_one_nat) tptp.zero_zero_nat)) tptp.one_one_int)))
% 16.06/16.31 (assume a10092 (tptp.bNF_re2632563231991741785t_bool tptp.pcr_int (tptp.bNF_re1498568104593929552l_bool tptp.pcr_int tptp.fequal_bool) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_wh) tptp.ord_less_int))
% 16.06/16.31 (assume a10093 (tptp.bNF_re2632563231991741785t_bool tptp.pcr_int (tptp.bNF_re1498568104593929552l_bool tptp.pcr_int tptp.fequal_bool) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_wj) tptp.ord_less_eq_int))
% 16.06/16.31 (assume a10094 (tptp.bNF_re8869769828555196650nt_int tptp.pcr_int (tptp.bNF_re7400052026677387805at_int tptp.pcr_int tptp.pcr_int) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_wl) tptp.plus_plus_int))
% 16.06/16.31 (assume a10095 (tptp.bNF_re6214786843070381989at_nat tptp.intrel (tptp.bNF_re2241393799969408733at_nat tptp.intrel tptp.intrel) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_we) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_we)))
% 16.06/16.31 (assume a10096 (tptp.bNF_re6214786843070381989at_nat tptp.intrel (tptp.bNF_re2241393799969408733at_nat tptp.intrel tptp.intrel) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_wn) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_wn)))
% 16.06/16.31 (assume a10097 (forall ((X3 tptp.nat) (Y tptp.nat) (U tptp.nat) (V2 tptp.nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool tptp.intrel (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) Y)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat U) V2))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X3) V2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat U) Y)))))
% 16.06/16.31 (assume a10098 (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool tptp.intrel (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) tptp.zero_zero_nat)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) tptp.zero_zero_nat))))
% 16.06/16.31 (assume a10099 (tptp.pp (tptp.aa_fun4519828053337421206t_bool (tptp.aa_fun2399787666232550060t_bool (tptp.bNF_re2241393799969408733at_nat tptp.intrel tptp.intrel) (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_wf)) (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_wf))))
% 16.06/16.31 (assume a10100 (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool tptp.intrel (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.one_one_nat) tptp.zero_zero_nat)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.one_one_nat) tptp.zero_zero_nat))))
% 16.06/16.31 (assume a10101 (= tptp.intrel (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_zr)))
% 16.06/16.31 (assume a10102 (tptp.bNF_re2219331435504962769t_bool tptp.intrel (tptp.bNF_re3189209160384574813l_bool tptp.intrel tptp.fequal_bool) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_wh) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_wh)))
% 16.06/16.31 (assume a10103 (tptp.bNF_re2219331435504962769t_bool tptp.intrel (tptp.bNF_re3189209160384574813l_bool tptp.intrel tptp.fequal_bool) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_wj) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_wj)))
% 16.06/16.31 (assume a10104 (tptp.bNF_re6214786843070381989at_nat tptp.intrel (tptp.bNF_re2241393799969408733at_nat tptp.intrel tptp.intrel) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_wl) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_wl)))
% 16.06/16.31 (assume a10105 (forall ((A tptp.nat) (B tptp.nat) (S tptp.nat) (T tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat S) T)) (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) S) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat B) T)) tptp.fun_pair_less)))))
% 16.06/16.31 (assume a10106 (forall ((X3 tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) Y) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) Z)) tptp.fun_pair_less) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) Z)))))
% 16.06/16.31 (assume a10107 (forall ((A tptp.nat) (B tptp.nat) (S tptp.nat) (T tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) S) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat B) T)) tptp.fun_pair_less))))
% 16.06/16.31 (assume a10108 (tptp.pp (tptp.aa_nat_bool (tptp.ordering_top_nat tptp.aTP_Lamm_eq tptp.aTP_Lamm_mb) tptp.zero_zero_nat)))
% 16.06/16.31 (assume a10109 (forall ((A tptp.nat) (B tptp.nat) (S tptp.nat) (T tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat S) T)) (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) S) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat B) T)) tptp.fun_pair_leq)))))
% 16.06/16.31 (assume a10110 (forall ((A tptp.nat) (B tptp.nat) (S tptp.nat) (T tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B)) (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) S) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat B) T)) tptp.fun_pair_leq))))
% 16.06/16.31 (assume a10111 (forall ((X3 tptp.product_prod_nat_nat) (XS tptp.set_Pr1261947904930325089at_nat) (Y tptp.product_prod_nat_nat) (YS tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) XS)) (=> (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat X3 Y) tptp.fun_pair_leq) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat XS YS)) tptp.fun_min_weak)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat XS (tptp.insert8211810215607154385at_nat Y YS))) tptp.fun_min_weak)))))))
% 16.06/16.31 (assume a10112 (forall ((Y tptp.product_prod_nat_nat) (YS tptp.set_Pr1261947904930325089at_nat) (X3 tptp.product_prod_nat_nat) (XS tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Y) YS)) (=> (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat X3 Y) tptp.fun_pair_leq) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat XS YS)) tptp.fun_max_weak)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat (tptp.insert8211810215607154385at_nat X3 XS) YS)) tptp.fun_max_weak)))))))
% 16.06/16.31 (assume a10113 (forall ((X6 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat X6)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat tptp.bot_bo2099793752762293965at_nat X6)) tptp.fun_max_weak)))))
% 16.06/16.31 (assume a10114 (forall ((X6 tptp.set_Pr1261947904930325089at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat X6 tptp.bot_bo2099793752762293965at_nat)) tptp.fun_min_weak))))
% 16.06/16.31 (assume a10115 (= tptp.fun_min_weak (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.min_ex6901939911449802026at_nat tptp.fun_pair_leq)) (tptp.insert9069300056098147895at_nat (tptp.produc2922128104949294807at_nat tptp.bot_bo2099793752762293965at_nat tptp.bot_bo2099793752762293965at_nat) tptp.bot_bo228742789529271731at_nat))))
% 16.06/16.31 (assume a10116 (= tptp.fun_max_weak (tptp.aa_set4883462369968598652at_nat (tptp.aa_set7704514097189807246at_nat tptp.sup_su5525570899277871387at_nat (tptp.max_ex8135407076693332796at_nat tptp.fun_pair_leq)) (tptp.insert9069300056098147895at_nat (tptp.produc2922128104949294807at_nat tptp.bot_bo2099793752762293965at_nat tptp.bot_bo2099793752762293965at_nat) tptp.bot_bo228742789529271731at_nat))))
% 16.06/16.31 (assume a10117 (forall ((X3 tptp.product_prod_nat_nat) (XS tptp.set_Pr1261947904930325089at_nat) (Y tptp.product_prod_nat_nat) (YS tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat X3) XS)) (=> (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat X3 Y) tptp.fun_pair_less) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat XS YS)) tptp.fun_min_strict)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat XS (tptp.insert8211810215607154385at_nat Y YS))) tptp.fun_min_strict)))))))
% 16.06/16.31 (assume a10118 (forall ((Y tptp.product_prod_nat_nat) (Y6 tptp.set_Pr1261947904930325089at_nat) (X3 tptp.product_prod_nat_nat) (X6 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Y) Y6)) (=> (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat X3 Y) tptp.fun_pair_less) (=> (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat X6 Y6)) tptp.fun_max_strict)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat (tptp.insert8211810215607154385at_nat X3 X6) Y6)) tptp.fun_max_strict)))))))
% 16.06/16.31 (assume a10119 (forall ((X6 tptp.set_Pr1261947904930325089at_nat)) (=> (not (= X6 tptp.bot_bo2099793752762293965at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat X6 tptp.bot_bo2099793752762293965at_nat)) tptp.fun_min_strict)))))
% 16.06/16.31 (assume a10120 (forall ((Y6 tptp.set_Pr1261947904930325089at_nat)) (=> (tptp.pp (tptp.aa_set3135850010578026034t_bool tptp.finite6177210948735845034at_nat Y6)) (=> (not (= Y6 tptp.bot_bo2099793752762293965at_nat)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat tptp.bot_bo2099793752762293965at_nat Y6)) tptp.fun_max_strict))))))
% 16.06/16.31 (assume a10121 (tptp.fun_re2478310338295953701at_nat (tptp.produc9060074326276436823at_nat tptp.fun_max_strict tptp.fun_max_weak)))
% 16.06/16.31 (assume a10122 (tptp.fun_re2478310338295953701at_nat (tptp.produc9060074326276436823at_nat tptp.fun_min_strict tptp.fun_min_weak)))
% 16.06/16.31 (assume a10123 (forall ((K2 tptp.num)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K2)) (tptp.aa_int_rat (tptp.aa_int_fun_int_rat tptp.fract (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K2))) tptp.one_one_int))))
% 16.06/16.31 (assume a10124 (forall ((A tptp.int) (B tptp.int) (P2 tptp.int) (Q3 tptp.int)) (=> (= (tptp.aa_Pro6970504127699319548nt_int tptp.normalize (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int P2) Q3)) (= (tptp.aa_int_rat (tptp.aa_int_fun_int_rat tptp.fract P2) Q3) (tptp.aa_int_rat (tptp.aa_int_fun_int_rat tptp.fract A) B)))))
% 16.06/16.31 (assume a10125 (forall ((A tptp.int) (B tptp.int) (P2 tptp.int) (Q3 tptp.int)) (=> (= (tptp.quotient_of (tptp.aa_int_rat (tptp.aa_int_fun_int_rat tptp.fract A) B)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int P2) Q3)) (= (tptp.aa_int_rat (tptp.aa_int_fun_int_rat tptp.fract P2) Q3) (tptp.aa_int_rat (tptp.aa_int_fun_int_rat tptp.fract A) B)))))
% 16.06/16.31 (assume a10126 (forall ((K2 tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat K2) (tptp.aa_int_rat (tptp.aa_int_fun_int_rat tptp.fract (tptp.aa_num_int tptp.numeral_numeral_int K2)) tptp.one_one_int))))
% 16.06/16.31 (assume a10127 (forall ((W tptp.num)) (= (tptp.aa_int_rat (tptp.aa_int_fun_int_rat tptp.fract (tptp.aa_num_int tptp.numeral_numeral_int W)) tptp.one_one_int) (tptp.aa_num_rat tptp.numeral_numeral_rat W))))
% 16.06/16.31 (assume a10128 (forall ((A tptp.int) (B tptp.int)) (= (tptp.quotient_of (tptp.aa_int_rat (tptp.aa_int_fun_int_rat tptp.fract A) B)) (tptp.aa_Pro6970504127699319548nt_int tptp.normalize (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int A) B)))))
% 16.06/16.31 (assume a10129 (forall ((Xa2 tptp.int) (X3 tptp.int)) (= (tptp.aa_int_rat (tptp.aa_int_fun_int_rat tptp.fract Xa2) X3) (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat (tptp.aa_Pro6970504127699319548nt_int (tptp.if_Pro3027730157355071871nt_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int X3) tptp.zero_zero_int) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Xa2) X3))))))
% 16.06/16.31 (assume a10130 (tptp.bNF_re2486238095283335024nt_rat tptp.fequal_int (tptp.bNF_re2214769303045360666nt_rat tptp.fequal_int tptp.pcr_rat) tptp.aTP_Lamm_zn tptp.fract))
% 16.06/16.31 (assume a10131 (forall ((W tptp.num)) (= (tptp.aa_int_rat (tptp.aa_int_fun_int_rat tptp.fract (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) tptp.one_one_int) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))))
% 16.06/16.31 (assume a10132 (forall ((M2 tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.ord_le2932123472753598470d_enat M2 N) (tptp.extend8126323780198025762t_bool (tptp.aTP_Lamm_zs M2) tptp.fTrue N))))
% 16.06/16.31 (assume a10133 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) Y)) tptp.less_than)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y)))))
% 16.06/16.31 (assume a10134 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.order_2888998067076097458on_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_mb N))) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_zf N)))))))
% 16.06/16.31 (assume a10135 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.order_2888998067076097458on_nat (tptp.field_nat (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_zf N))))) (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_zf N)))))))
% 16.06/16.31 (assume a10136 (forall ((K2 tptp.nat) (M2 tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat tptp.nat_prod_decode (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.nat_triangle K2)) M2)) (tptp.aa_nat7603221163087113075at_nat (tptp.nat_prod_decode_aux K2) M2))))
% 16.06/16.31 (assume a10137 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat7603221163087113075at_nat tptp.nat_prod_decode X3) (tptp.aa_nat7603221163087113075at_nat tptp.nat_prod_decode Y)) (= X3 Y))))
% 16.06/16.31 (assume a10138 (forall ((N tptp.nat)) (= (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat tptp.nat_prod_decode N)) N)))
% 16.06/16.31 (assume a10139 (forall ((X3 tptp.product_prod_nat_nat)) (= (tptp.aa_nat7603221163087113075at_nat tptp.nat_prod_decode (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode X3)) X3)))
% 16.06/16.31 (assume a10140 (forall ((A4 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on5538052773655684606at_nat tptp.nat_prod_decode) A4))))
% 16.06/16.31 (assume a10141 (= tptp.nat_prod_decode (tptp.nat_prod_decode_aux tptp.zero_zero_nat)))
% 16.06/16.31 (assume a10142 (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.bij_be8693218025023041337at_nat tptp.nat_prod_decode tptp.top_top_set_nat) tptp.top_to4669805908274784177at_nat)))
% 16.06/16.31 (assume a10143 (= (tptp.image_5846123807819985514at_nat tptp.nat_prod_decode tptp.top_top_set_nat) tptp.top_to4669805908274784177at_nat))
% 16.06/16.31 (assume a10144 (forall ((A0 tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) A0)) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (=> (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) (tptp.aa_nat_nat tptp.suc N2))) (=> (forall ((X tptp.nat) (Y5 tptp.nat)) (=> (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Y5) (tptp.aa_nat7603221163087113075at_nat tptp.nat_prod_decode N2)) (tptp.pp (tptp.aa_nat_bool P Y5)))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N2)))))) (tptp.pp (tptp.aa_nat_bool P A0)))))))
% 16.06/16.31 (assume a10145 (forall ((X3 tptp.nat) (Y tptp.list_nat)) (=> (= (tptp.aa_nat_list_nat tptp.nat_list_decode X3) Y) (=> (=> (= X3 tptp.zero_zero_nat) (not (= Y tptp.nil_nat))) (not (forall ((N2 tptp.nat)) (=> (= X3 (tptp.aa_nat_nat tptp.suc N2)) (not (= Y (tptp.produc2761476792215241774st_nat tptp.aTP_Lamm_zt (tptp.aa_nat7603221163087113075at_nat tptp.nat_prod_decode N2)))))))))))
% 16.06/16.31 (assume a10146 (forall ((X3 tptp.list_nat)) (= (tptp.aa_nat_list_nat tptp.nat_list_decode (tptp.aa_list_nat_nat tptp.nat_list_encode X3)) X3)))
% 16.06/16.31 (assume a10147 (forall ((N tptp.nat)) (= (tptp.aa_list_nat_nat tptp.nat_list_encode (tptp.aa_nat_list_nat tptp.nat_list_decode N)) N)))
% 16.06/16.31 (assume a10148 (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) tptp.zero_zero_nat)) (= (tptp.aa_nat_list_nat tptp.nat_list_decode tptp.zero_zero_nat) tptp.nil_nat)))
% 16.06/16.31 (assume a10149 (forall ((A4 tptp.set_nat)) (tptp.pp (tptp.aa_set_nat_bool (tptp.inj_on_nat_list_nat tptp.nat_list_decode) A4))))
% 16.06/16.31 (assume a10150 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_list_nat tptp.nat_list_decode X3) (tptp.aa_nat_list_nat tptp.nat_list_decode Y)) (= X3 Y))))
% 16.06/16.31 (assume a10151 (= (tptp.aa_nat_list_nat tptp.nat_list_decode tptp.zero_zero_nat) tptp.nil_nat))
% 16.06/16.31 (assume a10152 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.aa_nat_list_nat tptp.nat_list_decode (tptp.aa_nat_nat tptp.suc N)) (tptp.produc2761476792215241774st_nat tptp.aTP_Lamm_zt (tptp.aa_nat7603221163087113075at_nat tptp.nat_prod_decode N))))))
% 16.06/16.31 (assume a10153 (tptp.bij_be6293887246118711976st_nat tptp.nat_list_decode tptp.top_top_set_nat tptp.top_top_set_list_nat))
% 16.06/16.31 (assume a10154 (= (tptp.image_nat_list_nat tptp.nat_list_decode tptp.top_top_set_nat) tptp.top_top_set_list_nat))
% 16.06/16.31 (assume a10155 (forall ((N tptp.nat)) (= (tptp.aa_nat_list_nat tptp.nat_list_decode (tptp.aa_nat_nat tptp.suc N)) (tptp.produc2761476792215241774st_nat tptp.aTP_Lamm_zt (tptp.aa_nat7603221163087113075at_nat tptp.nat_prod_decode N)))))
% 16.06/16.31 (assume a10156 (forall ((X3 tptp.nat) (Y tptp.list_nat)) (=> (= (tptp.aa_nat_list_nat tptp.nat_list_decode X3) Y) (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) X3)) (=> (=> (= X3 tptp.zero_zero_nat) (=> (= Y tptp.nil_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) tptp.zero_zero_nat))))) (not (forall ((N2 tptp.nat)) (=> (= X3 (tptp.aa_nat_nat tptp.suc N2)) (=> (= Y (tptp.produc2761476792215241774st_nat tptp.aTP_Lamm_zt (tptp.aa_nat7603221163087113075at_nat tptp.nat_prod_decode N2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) (tptp.aa_nat_nat tptp.suc N2)))))))))))))
% 16.06/16.31 (assume a10157 (forall ((B tptp.real) (I tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.powr_real2 B) I) (tptp.abort_real (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.zero_zero_literal))))))))))))))))))))))))))))))) (tptp.aa_rea7683167438103758690t_real (tptp.aTP_Lamm_zu B) I)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) tptp.zero_zero_real))) (and (=> (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real I)) I) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) I)) (= (tptp.aa_real_real (tptp.powr_real2 B) I) (tptp.aa_nat_real (tptp.power_power_real B) (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real I))))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) I))) (= (tptp.aa_real_real (tptp.powr_real2 B) I) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.power_power_real B) (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real tptp.uminus_uminus_real I))))))))) (=> (not (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real I)) I)) (= (tptp.aa_real_real (tptp.powr_real2 B) I) (tptp.abort_real (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.zero_zero_literal))))))))))))))))))))))))))))))))))) (tptp.aa_rea7683167438103758690t_real (tptp.aTP_Lamm_zu B) I)))))))))
% 16.06/16.31 (assume a10158 (= tptp.inverse_inverse_rat (tptp.aa_fun7041730090766645614at_rat (tptp.map_fu5673905371560938248nt_rat tptp.rep_Rat tptp.abs_Rat) tptp.aTP_Lamm_zj)))
% 16.06/16.31 (assume a10159 (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat (tptp.bNF_Ca3793111618940312692of_nat tptp.top_top_set_nat) tptp.bNF_Ca8665028551170535155natLeq)) tptp.bNF_We5258908940166488438at_nat)))
% 16.06/16.31 (assume a10160 (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat (tptp.bNF_Ca3793111618940312692of_nat (tptp.field_nat tptp.bNF_Ca8665028551170535155natLeq)) tptp.bNF_Ca8665028551170535155natLeq)) tptp.bNF_We5258908940166488438at_nat)))
% 16.06/16.31 (assume a10161 (= tptp.uminus_uminus_rat (tptp.aa_fun7041730090766645614at_rat (tptp.map_fu5673905371560938248nt_rat tptp.rep_Rat tptp.abs_Rat) tptp.aTP_Lamm_zk)))
% 16.06/16.31 (assume a10162 (= tptp.plus_plus_rat (tptp.map_fu5968964422797239547at_rat tptp.rep_Rat (tptp.map_fu5673905371560938248nt_rat tptp.rep_Rat tptp.abs_Rat) tptp.aTP_Lamm_zl)))
% 16.06/16.31 (assume a10163 (= tptp.times_times_rat (tptp.map_fu5968964422797239547at_rat tptp.rep_Rat (tptp.map_fu5673905371560938248nt_rat tptp.rep_Rat tptp.abs_Rat) tptp.aTP_Lamm_zo)))
% 16.06/16.31 (assume a10164 (and (not (tptp.member1730920086087385872l_bool (tptp.produc5355662241087601495l_bool tptp.bNF_Cardinal_ctwo tptp.bNF_Ca1500629177841160323o_bool) tptp.bNF_We9067914441000329236l_bool)) (tptp.bNF_Ca3869711322664823701n_bool (tptp.field_bool tptp.bNF_Cardinal_ctwo) tptp.bNF_Cardinal_ctwo)))
% 16.06/16.31 (assume a10165 (tptp.member3042533333095794346at_nat (tptp.produc4079257842390172913at_nat tptp.bNF_Cardinal_ctwo tptp.bNF_Ca8665028551170535155natLeq) tptp.bNF_We6144460630316186525ol_nat))
% 16.06/16.31 (assume a10166 (forall ((M2 tptp.num) (N tptp.nat)) (= (tptp.ord_le2932123472753598470d_enat (tptp.numera1916890842035813515d_enat M2) (tptp.extended_enat2 N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) N)))))
% 16.06/16.31 (assume a10167 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.plus_p3455044024723400733d_enat (tptp.extended_enat2 M2) (tptp.extended_enat2 N)) (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M2) N)))))
% 16.06/16.31 (assume a10168 (forall ((M2 tptp.nat) (N tptp.nat)) (= (tptp.ord_le2932123472753598470d_enat (tptp.extended_enat2 M2) (tptp.extended_enat2 N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M2) N)))))
% 16.06/16.31 (assume a10169 (forall ((M2 tptp.num) (N tptp.nat)) (= (tptp.ord_le72135733267957522d_enat (tptp.numera1916890842035813515d_enat M2) (tptp.extended_enat2 N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M2)) N)))))
% 16.06/16.31 (assume a10170 (forall ((X3 tptp.extended_enat) (Y tptp.extended_enat) (N tptp.nat)) (= (tptp.ord_le2932123472753598470d_enat (tptp.plus_p3455044024723400733d_enat X3 Y) (tptp.extended_enat2 N)) (exists ((Y7 tptp.nat) (X9 tptp.nat)) (and (= X3 (tptp.extended_enat2 X9)) (= Y (tptp.extended_enat2 Y7)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X9) Y7)) N)))))))
% 16.06/16.31 (assume a10171 (forall ((K2 tptp.num)) (= (tptp.numera1916890842035813515d_enat K2) (tptp.extended_enat2 (tptp.aa_num_nat tptp.numeral_numeral_nat K2)))))
% 16.06/16.31 (assume a10172 (forall ((M2 tptp.nat) (N tptp.extended_enat)) (= (tptp.ord_le2932123472753598470d_enat (tptp.extended_enat2 (tptp.aa_nat_nat tptp.suc M2)) N) (tptp.ord_le72135733267957522d_enat (tptp.extended_enat2 M2) N))))
% 16.06/16.31 (assume a10173 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node Info Deg TreeList Summary)) N)) (= (tptp.vEBT_VEBT_elim_dead (tptp.vEBT_Node Info Deg TreeList Summary) (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.vEBT_Node Info Deg TreeList Summary)))))
% 16.06/16.31 (assume a10174 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (L tptp.nat)) (= (tptp.vEBT_VEBT_elim_dead (tptp.vEBT_Node Info Deg TreeList Summary) (tptp.extended_enat2 L)) (tptp.vEBT_Node Info Deg (tptp.take_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat L) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.map_VE8901447254227204932T_VEBT (tptp.aTP_Lamm_zv Deg) TreeList)) (tptp.vEBT_VEBT_elim_dead Summary (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat L) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 16.06/16.31 (assume a10175 (forall ((A tptp.bool) (B tptp.bool) (Uu2 tptp.extended_enat)) (= (tptp.vEBT_VEBT_elim_dead (tptp.vEBT_Leaf A B) Uu2) (tptp.vEBT_Leaf A B))))
% 16.06/16.31 (assume a10176 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.extended_enat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_VEBT_elim_dead X3 Xa2) Y) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (not (= Y (tptp.vEBT_Leaf A3 B3))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3)) (=> (= Xa2 tptp.extend5688581933313929465d_enat) (not (= Y (tptp.vEBT_Node Info2 Deg2 (tptp.map_VE8901447254227204932T_VEBT (tptp.aTP_Lamm_zv Deg2) TreeList2) (tptp.vEBT_VEBT_elim_dead Summary3 tptp.extend5688581933313929465d_enat))))))) (not (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3)) (forall ((L3 tptp.nat)) (=> (= Xa2 (tptp.extended_enat2 L3)) (not (= Y (tptp.vEBT_Node Info2 Deg2 (tptp.take_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat L3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.map_VE8901447254227204932T_VEBT (tptp.aTP_Lamm_zv Deg2) TreeList2)) (tptp.vEBT_VEBT_elim_dead Summary3 (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat L3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))))))))))
% 16.06/16.31 (assume a10177 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (= (tptp.vEBT_VEBT_elim_dead (tptp.vEBT_Node Info Deg TreeList Summary) tptp.extend5688581933313929465d_enat) (tptp.vEBT_Node Info Deg (tptp.map_VE8901447254227204932T_VEBT (tptp.aTP_Lamm_zv Deg) TreeList) (tptp.vEBT_VEBT_elim_dead Summary tptp.extend5688581933313929465d_enat)))))
% 16.06/16.31 (assume a10178 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node Info Deg TreeList Summary)) N)) (= (tptp.vEBT_VEBT_elim_dead (tptp.vEBT_Node Info Deg TreeList Summary) tptp.extend5688581933313929465d_enat) (tptp.vEBT_Node Info Deg TreeList Summary)))))
% 16.06/16.31 (assume a10179 (forall ((K2 tptp.num)) (not (= (tptp.numera1916890842035813515d_enat K2) tptp.extend5688581933313929465d_enat))))
% 16.06/16.31 (assume a10180 (forall ((X3 tptp.produc7272778201969148633d_enat)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool) (Uu tptp.extended_enat)) (not (= X3 (tptp.produc581526299967858633d_enat (tptp.vEBT_Leaf A3 B3) Uu)))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (not (= X3 (tptp.produc581526299967858633d_enat (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3) tptp.extend5688581933313929465d_enat)))) (not (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT) (L3 tptp.nat)) (not (= X3 (tptp.produc581526299967858633d_enat (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3) (tptp.extended_enat2 L3))))))))))
% 16.06/16.31 (assume a10181 (forall ((X3 tptp.vEBT_VEBT) (Xa2 tptp.extended_enat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_VEBT_elim_dead X3 Xa2) Y) (=> (tptp.accp_P6183159247885693666d_enat tptp.vEBT_V312737461966249ad_rel (tptp.produc581526299967858633d_enat X3 Xa2)) (=> (forall ((A3 tptp.bool) (B3 tptp.bool)) (=> (= X3 (tptp.vEBT_Leaf A3 B3)) (=> (= Y (tptp.vEBT_Leaf A3 B3)) (not (tptp.accp_P6183159247885693666d_enat tptp.vEBT_V312737461966249ad_rel (tptp.produc581526299967858633d_enat (tptp.vEBT_Leaf A3 B3) Xa2)))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3)) (=> (= Xa2 tptp.extend5688581933313929465d_enat) (=> (= Y (tptp.vEBT_Node Info2 Deg2 (tptp.map_VE8901447254227204932T_VEBT (tptp.aTP_Lamm_zv Deg2) TreeList2) (tptp.vEBT_VEBT_elim_dead Summary3 tptp.extend5688581933313929465d_enat))) (not (tptp.accp_P6183159247885693666d_enat tptp.vEBT_V312737461966249ad_rel (tptp.produc581526299967858633d_enat (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3) tptp.extend5688581933313929465d_enat))))))) (not (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary3 tptp.vEBT_VEBT)) (=> (= X3 (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3)) (forall ((L3 tptp.nat)) (=> (= Xa2 (tptp.extended_enat2 L3)) (=> (= Y (tptp.vEBT_Node Info2 Deg2 (tptp.take_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat L3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.map_VE8901447254227204932T_VEBT (tptp.aTP_Lamm_zv Deg2) TreeList2)) (tptp.vEBT_VEBT_elim_dead Summary3 (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat L3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (not (tptp.accp_P6183159247885693666d_enat tptp.vEBT_V312737461966249ad_rel (tptp.produc581526299967858633d_enat (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary3) (tptp.extended_enat2 L3))))))))))))))))
% 16.06/16.31 (assume a10182 (forall ((M2 tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.plus_p3455044024723400733d_enat M2 N) (tptp.extend3600170679010898289d_enat (tptp.aTP_Lamm_zx N) tptp.extend5688581933313929465d_enat M2))))
% 16.06/16.31 (assume a10183 (forall ((I tptp.extended_enat)) (= (tptp.extended_eSuc I) (tptp.extend3600170679010898289d_enat tptp.aTP_Lamm_zy tptp.extend5688581933313929465d_enat I))))
% 16.06/16.31 (assume a10184 (forall ((K2 tptp.num)) (= (tptp.extended_eSuc (tptp.numera1916890842035813515d_enat K2)) (tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num K2) tptp.one)))))
% 16.06/16.31 (assume a10185 (forall ((Y tptp.nat) (X3 tptp.extended_enat)) (= (= (tptp.extended_enat2 Y) (tptp.extended_eSuc X3)) (exists ((N4 tptp.nat)) (and (= Y (tptp.aa_nat_nat tptp.suc N4)) (= (tptp.extended_enat2 N4) X3))))))
% 16.06/16.31 (assume a10186 (forall ((X3 tptp.extended_enat) (Y tptp.nat)) (= (= (tptp.extended_eSuc X3) (tptp.extended_enat2 Y)) (exists ((N4 tptp.nat)) (and (= Y (tptp.aa_nat_nat tptp.suc N4)) (= X3 (tptp.extended_enat2 N4)))))))
% 16.06/16.31 (assume a10187 (forall ((N tptp.nat)) (= (tptp.extended_eSuc (tptp.extended_enat2 N)) (tptp.extended_enat2 (tptp.aa_nat_nat tptp.suc N)))))
% 16.06/16.31 (assume a10188 (tptp.bNF_re2717234250851183977l_bool tptp.realrel tptp.fequal_bool tptp.aTP_Lamm_zz tptp.aTP_Lamm_zz))
% 16.06/16.31 (assume a10189 (forall ((X6 tptp.fun_nat_rat)) (= (tptp.cauchy X6) (forall ((R5 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) M5)) (forall ((N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat X6 M5)) (tptp.aa_nat_rat X6 N4)))) R5))))))))))))
% 16.06/16.31 (assume a10190 (forall ((X6 tptp.fun_nat_rat) (R2 tptp.rat)) (=> (tptp.cauchy X6) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R2)) (exists ((K tptp.nat)) (forall ((M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) M3)) (forall ((N8 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N8)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat X6 M3)) (tptp.aa_nat_rat X6 N8)))) R2)))))))))))
% 16.06/16.31 (assume a10191 (forall ((X6 tptp.fun_nat_rat)) (=> (forall ((R3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R3)) (exists ((K4 tptp.nat)) (forall ((M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K4) M)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K4) N2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat X6 M)) (tptp.aa_nat_rat X6 N2)))) R3))))))))) (tptp.cauchy X6))))
% 16.06/16.31 (assume a10192 (forall ((X6 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.cauchy X6) (=> (tptp.cauchy Y6) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.real2 X6)) (tptp.real2 Y6))) (forall ((R5 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 N4)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat Y6 N4)) R5)))))))))))))
% 16.06/16.31 (assume a10193 (forall ((X6 tptp.fun_nat_rat)) (=> (tptp.cauchy X6) (=> (not (tptp.vanishes X6)) (exists ((B3 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B3)) (exists ((K tptp.nat)) (forall ((N8 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N8)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B3) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat X6 N8)))))))))))))
% 16.06/16.31 (assume a10194 (forall ((X6 tptp.fun_nat_rat) (R2 tptp.rat)) (=> (tptp.vanishes X6) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R2)) (exists ((K tptp.nat)) (forall ((N8 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N8)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat X6 N8))) R2)))))))))
% 16.06/16.31 (assume a10195 (forall ((X6 tptp.fun_nat_rat)) (=> (forall ((R3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R3)) (exists ((K4 tptp.nat)) (forall ((N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K4) N2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat X6 N2))) R3))))))) (tptp.vanishes X6))))
% 16.06/16.31 (assume a10196 (forall ((X6 tptp.fun_nat_rat)) (= (tptp.vanishes X6) (forall ((R5 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat X6 N4))) R5))))))))))
% 16.06/16.31 (assume a10197 (forall ((X6 tptp.fun_nat_rat)) (=> (tptp.cauchy X6) (=> (not (tptp.vanishes X6)) (exists ((B3 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B3)) (exists ((K tptp.nat)) (or (forall ((N8 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N8)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B3) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat X6 N8)))))) (forall ((N8 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N8)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B3) (tptp.aa_nat_rat X6 N8)))))))))))))
% 16.06/16.31 (assume a10198 (forall ((X6 tptp.fun_nat_rat)) (=> (tptp.cauchy X6) (= (not (tptp.pp (tptp.aa_real_bool tptp.positive (tptp.real2 X6)))) (forall ((R5 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X6 N4)) R5)))))))))))
% 16.06/16.31 (assume a10199 (forall ((X6 tptp.fun_nat_rat)) (=> (tptp.cauchy X6) (= (tptp.pp (tptp.aa_real_bool tptp.positive (tptp.real2 X6))) (exists ((R5 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat R5) (tptp.aa_nat_rat X6 N4))))))))))))
% 16.06/16.31 (assume a10200 (forall ((X3 tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel X3) X3)) (= (tptp.pp (tptp.aa_real_bool tptp.positive (tptp.real2 X3))) (exists ((R5 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat R5) (tptp.aa_nat_rat X3 N4))))))))))))
% 16.06/16.31 (assume a10201 (tptp.bNF_re1458715823057739248l_bool tptp.pcr_real tptp.fequal_bool tptp.aTP_Lamm_zz tptp.positive))
% 16.06/16.31 (assume a10202 (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.positive X3)) (exists ((R5 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat R5) (tptp.aa_nat_rat (tptp.aa_real_fun_nat_rat tptp.rep_real X3) N4)))))))))))
% 16.06/16.31 (assume a10203 (= tptp.positive (tptp.map_fu1722713901878115497l_bool tptp.rep_real tptp.id_bool tptp.aTP_Lamm_zz)))
% 16.06/16.31 (assume a10204 (= tptp.semiri1316708129612266289at_nat tptp.id_nat))
% 16.06/16.31 (assume a10205 (forall ((Q3 tptp.int) (P2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Q3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int P2) Q3)) (= (tptp.aa_Pro6970504127699319548nt_int tptp.normalize (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int P2) Q3)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int P2) Q3))))))
% 16.06/16.31 (assume a10206 (forall ((Uu2 tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int tptp.aTP_Lamm_zj Uu2) (tptp.aa_Pro6970504127699319548nt_int (tptp.if_Pro3027730157355071871nt_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.product_fst_int_int Uu2)) tptp.zero_zero_int) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.product_snd_int_int Uu2)) (tptp.product_fst_int_int Uu2))))))
% 16.06/16.31 (assume a10207 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_ia Uu2) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uu2)) tptp.one_one_real)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uu2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat))))))
% 16.06/16.31 (assume a10208 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_oc Uu2) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat tptp.suc Uu2)))))
% 16.06/16.31 (assume a10209 (forall ((Uu2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.aTP_Lamm_vn Uu2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Uu2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Uu2) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.cos_real Uu2) tptp.zero_zero_real)))))
% 16.06/16.31 (assume a10210 (forall ((Uu2 tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int tptp.aTP_Lamm_zk Uu2) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.product_fst_int_int Uu2))) (tptp.product_snd_int_int Uu2)))))
% 16.06/16.31 (assume a10211 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_on Uu2) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.cos_coeff Uu2)) (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) Uu2)))))
% 16.06/16.31 (assume a10212 (forall ((Uu2 tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_xo Uu2) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real Uu2)) (tptp.aa_real_real tptp.sin_real Uu2)))))
% 16.06/16.31 (assume a10213 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_yz Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 16.06/16.31 (assume a10214 (forall ((Uu2 tptp.complex)) (= (tptp.aa_complex_complex tptp.aTP_Lamm_pf Uu2) (tptp.aa_complex_complex (tptp.plus_plus_complex Uu2) tptp.one_one_complex))))
% 16.06/16.31 (assume a10215 (forall ((Uu2 tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_ph Uu2) (tptp.aa_real_real (tptp.plus_plus_real Uu2) tptp.one_one_real))))
% 16.06/16.31 (assume a10216 (forall ((Uu2 tptp.rat)) (= (tptp.aa_rat_rat tptp.aTP_Lamm_pg Uu2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) tptp.one_one_rat))))
% 16.06/16.31 (assume a10217 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_pj Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) tptp.one_one_nat))))
% 16.06/16.31 (assume a10218 (forall ((Uu2 tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_pi Uu2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu2) tptp.one_one_int))))
% 16.06/16.31 (assume a10219 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat tptp.aTP_Lamm_zp Uu2) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uu2) tptp.zero_zero_nat))))
% 16.06/16.31 (assume a10220 (forall ((Uu2 tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_xj Uu2) (tptp.suminf_real (tptp.aTP_Lamm_hx Uu2)))))
% 16.06/16.31 (assume a10221 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_set_nat tptp.aTP_Lamm_yr Uu2) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_fu Uu2)))))
% 16.06/16.31 (assume a10222 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_xs Uu2) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uu2))))))
% 16.06/16.31 (assume a10223 (forall ((Uu2 tptp.num)) (= (tptp.aa_num_option_num tptp.aTP_Lamm_wt Uu2) (tptp.some_num (tptp.aa_num_num tptp.bit1 Uu2)))))
% 16.06/16.31 (assume a10224 (forall ((Uu2 tptp.num)) (= (tptp.aa_num_option_num tptp.aTP_Lamm_ws Uu2) (tptp.some_num (tptp.aa_num_num tptp.bit0 Uu2)))))
% 16.06/16.31 (assume a10225 (forall ((Uu2 tptp.int)) (= (tptp.aa_int2565445551602696444nt_int tptp.aTP_Lamm_yp Uu2) (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int tptp.uminus_uminus_int Uu2)))))
% 16.06/16.31 (assume a10226 (forall ((Uu2 tptp.int)) (= (tptp.aa_int2565445551602696444nt_int tptp.aTP_Lamm_yq Uu2) (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int tptp.abs_abs_int Uu2)))))
% 16.06/16.31 (assume a10227 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat8803788312118491388at_nat tptp.aTP_Lamm_hn Uu2) (tptp.product_Pair_nat_nat (tptp.aa_nat_nat tptp.suc Uu2)))))
% 16.06/16.31 (assume a10228 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_Extended_enat tptp.aTP_Lamm_zy Uu2) (tptp.extended_enat2 (tptp.aa_nat_nat tptp.suc Uu2)))))
% 16.06/16.31 (assume a10229 (forall ((Uu2 tptp.fun_nat_rat)) (= (tptp.pp (tptp.aa_fun_nat_rat_bool tptp.aTP_Lamm_zz Uu2)) (exists ((R5 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat R5) (tptp.aa_nat_rat Uu2 N4)))))))))))
% 16.06/16.31 (assume a10230 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_option_num tptp.aTP_Lamm_wr Uu2) (tptp.some_num tptp.one))))
% 16.06/16.31 (assume a10231 (forall ((Uu2 tptp.num) (Uua tptp.nat)) (= (tptp.aa_nat_option_num (tptp.aTP_Lamm_wy Uu2) Uua) (tptp.case_num_option_num (tptp.some_num tptp.one) (tptp.aTP_Lamm_ww Uua) (tptp.aTP_Lamm_wx Uua) Uu2))))
% 16.06/16.31 (assume a10232 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_py Uu2) Uua) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua))) tptp.zero_zero_complex))))
% 16.06/16.31 (assume a10233 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_qb Uu2) Uua) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua))) tptp.zero_zero_real))))
% 16.06/16.31 (assume a10234 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_pz Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua))) tptp.zero_zero_rat))))
% 16.06/16.31 (assume a10235 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_qa Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua))) tptp.zero_zero_int))))
% 16.06/16.31 (assume a10236 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_oh Uu2) Uua) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) tptp.zero_zero_real) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) tptp.one_one_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.31 (assume a10237 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Code_integer_int (tptp.aa_Cod1242632294114111009er_int tptp.aTP_Lamm_vz Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uua) tptp.zero_z3403309356797280102nteger)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.code_int_of_integer Uu2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.code_int_of_integer Uu2))) tptp.one_one_int)))))
% 16.06/16.31 (assume a10238 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex tptp.aTP_Lamm_hq Uu2) Uua) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uu2))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uu2))) tptp.one_one_complex)))))
% 16.06/16.31 (assume a10239 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_hs Uu2) Uua) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uu2))) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uu2))) tptp.one_one_real)))))
% 16.06/16.31 (assume a10240 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat tptp.aTP_Lamm_hr Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uu2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uu2))) tptp.one_one_rat)))))
% 16.06/16.31 (assume a10241 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hu Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uu2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uu2))) tptp.one_one_nat)))))
% 16.06/16.31 (assume a10242 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_ht Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uu2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uu2))) tptp.one_one_int)))))
% 16.06/16.31 (assume a10243 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Code_integer_num (tptp.aa_Cod6128727250572145423er_num tptp.aTP_Lamm_vw Uu2) Uua) (tptp.aa_num_num (tptp.aa_num_fun_num_num (tptp.if_num (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uua) tptp.zero_z3403309356797280102nteger)) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.code_num_of_integer Uu2)) (tptp.code_num_of_integer Uu2))) (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.aa_num_num (tptp.aa_num_fun_num_num tptp.plus_plus_num (tptp.code_num_of_integer Uu2)) (tptp.code_num_of_integer Uu2))) tptp.one)))))
% 16.06/16.31 (assume a10244 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Code_integer_nat (tptp.aa_Cod5420483313623307717er_nat tptp.aTP_Lamm_vy Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uua) tptp.zero_z3403309356797280102nteger)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_Code_integer_nat tptp.code_nat_of_integer Uu2)) (tptp.aa_Code_integer_nat tptp.code_nat_of_integer Uu2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_Code_integer_nat tptp.code_nat_of_integer Uu2)) (tptp.aa_Code_integer_nat tptp.code_nat_of_integer Uu2))) tptp.one_one_nat)))))
% 16.06/16.31 (assume a10245 (forall ((Uu2 tptp.int) (Uua tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.aTP_Lamm_yg Uu2) Uua) (tptp.aa_Pro6970504127699319548nt_int (tptp.if_Pro3027730157355071871nt_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uu2) tptp.zero_zero_int) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int Uu2)) Uua)) (tptp.aa_int_int tptp.abs_abs_int Uu2))))))
% 16.06/16.31 (assume a10246 (forall ((Uu2 tptp.int) (Uua tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.aTP_Lamm_zn Uu2) Uua) (tptp.aa_Pro6970504127699319548nt_int (tptp.if_Pro3027730157355071871nt_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uua) tptp.zero_zero_int) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int)) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Uu2) Uua)))))
% 16.06/16.31 (assume a10247 (forall ((Uu2 tptp.extended_enat) (Uua tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aTP_Lamm_zx Uu2) Uua) (tptp.extend3600170679010898289d_enat (tptp.aTP_Lamm_zw Uua) tptp.extend5688581933313929465d_enat Uu2))))
% 16.06/16.31 (assume a10248 (forall ((Uu2 tptp.extended_enat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_zs Uu2) Uua)) (tptp.extend8126323780198025762t_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_eq Uua) tptp.fFalse Uu2))))
% 16.06/16.31 (assume a10249 (forall ((Uu2 tptp.nat) (Uua tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_nat3713591252005393295on_num tptp.aTP_Lamm_wz Uu2) Uua) (tptp.case_nat_option_num tptp.none_num (tptp.aTP_Lamm_wy Uua) Uu2))))
% 16.06/16.31 (assume a10250 (forall ((Uu2 tptp.nat) (Uua tptp.num)) (= (tptp.aa_num_option_num (tptp.aTP_Lamm_ww Uu2) Uua) (tptp.case_o6005452278849405969um_num tptp.none_num tptp.aTP_Lamm_ws (tptp.bit_take_bit_num Uu2 Uua)))))
% 16.06/16.31 (assume a10251 (forall ((Uu2 tptp.num) (Uua tptp.nat)) (= (tptp.aa_nat_option_num (tptp.aTP_Lamm_wu Uu2) Uua) (tptp.case_o6005452278849405969um_num tptp.none_num tptp.aTP_Lamm_ws (tptp.bit_take_bit_num Uua Uu2)))))
% 16.06/16.31 (assume a10252 (forall ((Uu2 tptp.fun_nat_fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_sd Uu2) Uua) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_sc Uu2) Uua) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)))))
% 16.06/16.31 (assume a10253 (forall ((Uu2 tptp.fun_nat_fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_sb Uu2) Uua) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_sa Uu2) Uua)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)))))
% 16.06/16.31 (assume a10254 (forall ((Uu2 tptp.product_prod_int_int) (Uua tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.aa_Pro4124234152028750080nt_int tptp.aTP_Lamm_zl Uu2) Uua) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Uu2)) (tptp.product_snd_int_int Uua))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Uua)) (tptp.product_snd_int_int Uu2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int Uu2)) (tptp.product_snd_int_int Uua))))))
% 16.06/16.31 (assume a10255 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_hw Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) tptp.one_one_nat))))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.minus_minus_real Uu2) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc Uua))))))
% 16.06/16.31 (assume a10256 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ov Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_nat)))) (tptp.aa_nat_real (tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_nat))))))
% 16.06/16.31 (assume a10257 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_pd Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))) (tptp.aa_nat_real (tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))))))
% 16.06/16.31 (assume a10258 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aTP_Lamm_up Uu2) Uua) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) Uua)) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger Uua))) (tptp.aa_nat_Code_integer tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua))))))
% 16.06/16.31 (assume a10259 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_uo Uu2) Uua) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) Uua)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua))))))
% 16.06/16.31 (assume a10260 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_us Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua))))))
% 16.06/16.31 (assume a10261 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_uq Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) Uua)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua))) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua))))))
% 16.06/16.31 (assume a10262 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_ur Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) Uua)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uua))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua))))))
% 16.06/16.31 (assume a10263 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_ut Uu2) Uua) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uua))) Uua)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))
% 16.06/16.31 (assume a10264 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_uv Uu2) Uua) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uua))) Uua)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))
% 16.06/16.31 (assume a10265 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_uu Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uua))) Uua)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))
% 16.06/16.31 (assume a10266 (forall ((Uu2 tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_vm Uu2) Uua)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Uua) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real Uua) Uu2)))))
% 16.06/16.31 (assume a10267 (forall ((Uu2 tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_vl Uu2) Uua)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Uua) (tptp.aa_real_real (tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.tan_real Uua) Uu2)))))
% 16.06/16.31 (assume a10268 (forall ((Uu2 tptp.product_prod_int_int) (Uua tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.aa_Pro4124234152028750080nt_int tptp.aTP_Lamm_zo Uu2) Uua) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Uu2)) (tptp.product_fst_int_int Uua))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int Uu2)) (tptp.product_snd_int_int Uua))))))
% 16.06/16.31 (assume a10269 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_hx Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat)))) (tptp.aa_nat_real (tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat)))))))
% 16.06/16.31 (assume a10270 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_xk Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real (tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.31 (assume a10271 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_xp Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real Uu2 Uua)))))
% 16.06/16.31 (assume a10272 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_vk Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua))))))
% 16.06/16.31 (assume a10273 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_vi Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) Uua)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua))))))
% 16.06/16.31 (assume a10274 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int tptp.aTP_Lamm_vj Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) Uua)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua))))))
% 16.06/16.31 (assume a10275 (forall ((Uu2 tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_rw Uu2) Uua) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uu2) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))) Uua))))
% 16.06/16.31 (assume a10276 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ry Uu2) Uua) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.plus_plus_real Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))) Uua))))
% 16.06/16.31 (assume a10277 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_rx Uu2) Uua) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua))) Uua))))
% 16.06/16.31 (assume a10278 (forall ((Uu2 tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_pk Uu2) Uua) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex Uu2) Uua)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Uu2) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))))))
% 16.06/16.31 (assume a10279 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_pm Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.gbinomial_real Uu2) Uua)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.divide_divide_real Uu2) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))))))
% 16.06/16.31 (assume a10280 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_pl Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat Uu2) Uua)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat Uu2) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua))))))
% 16.06/16.31 (assume a10281 (forall ((Uu2 tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_tg Uu2) Uua) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex Uu2) Uua)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) Uua)))))
% 16.06/16.31 (assume a10282 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ti Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.gbinomial_real Uu2) Uua)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)))))
% 16.06/16.31 (assume a10283 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_th Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat Uu2) Uua)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) Uua)))))
% 16.06/16.31 (assume a10284 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_tt Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 16.06/16.31 (assume a10285 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_pc Uu2) Uua) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real Uu2) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua)))))
% 16.06/16.31 (assume a10286 (forall ((Uu2 tptp.nat) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_ye Uu2) Uua) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real Uua) Uu2)) (tptp.aa_real_real tptp.exp_real Uua)))))
% 16.06/16.31 (assume a10287 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_zd Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uu2) Uua)) Uua))))
% 16.06/16.31 (assume a10288 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_rr Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uua)) Uu2))))
% 16.06/16.31 (assume a10289 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_rq Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uua)) Uua))))
% 16.06/16.31 (assume a10290 (forall ((Uu2 tptp.nat) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_ev Uu2) Uua)) (= (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uu2) tptp.one_one_complex))))
% 16.06/16.31 (assume a10291 (forall ((Uu2 tptp.nat) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_eu Uu2) Uua)) (= (tptp.aa_nat_real (tptp.power_power_real Uua) Uu2) tptp.one_one_real))))
% 16.06/16.31 (assume a10292 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_xx Uu2) Uua) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.divide_divide_real Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)))) Uua))))
% 16.06/16.31 (assume a10293 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_hv Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat)))) (tptp.aa_nat_real (tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat))))))
% 16.06/16.31 (assume a10294 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_qu Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))))
% 16.06/16.31 (assume a10295 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_qv Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))) (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))))
% 16.06/16.31 (assume a10296 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_qw Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))) (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))))
% 16.06/16.31 (assume a10297 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_qx Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))))
% 16.06/16.31 (assume a10298 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_mf Uu2) Uua) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))))
% 16.06/16.31 (assume a10299 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_mc Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))) (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))))
% 16.06/16.31 (assume a10300 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_me Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))) (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))))
% 16.06/16.31 (assume a10301 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_md Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))))
% 16.06/16.31 (assume a10302 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ju Uu2) Uua) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat tptp.suc Uua))) (tptp.aa_nat_real Uu2 Uua)))))
% 16.06/16.31 (assume a10303 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_js Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat tptp.suc Uua))) (tptp.aa_nat_rat Uu2 Uua)))))
% 16.06/16.31 (assume a10304 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_jt Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat tptp.suc Uua))) (tptp.aa_nat_int Uu2 Uua)))))
% 16.06/16.31 (assume a10305 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_hy Uu2) Uua) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu2 Uua)) (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) Uua)))))
% 16.06/16.31 (assume a10306 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_hz Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real Uu2 Uua)) (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) Uua)))))
% 16.06/16.31 (assume a10307 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_ie Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat Uu2 Uua)) (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) Uua)))))
% 16.06/16.31 (assume a10308 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_iu Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu2 Uua)) (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) Uua)))))
% 16.06/16.31 (assume a10309 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ma Uu2) Uua) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real Uu2 Uua)) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) tptp.one_one_nat))))))
% 16.06/16.31 (assume a10310 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_ly Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat Uu2 Uua)) (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) tptp.one_one_nat))))))
% 16.06/16.31 (assume a10311 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_lz Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int Uu2 Uua)) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) tptp.one_one_nat))))))
% 16.06/16.31 (assume a10312 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_lx Uu2) Uua) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real Uu2 Uua)) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) tptp.one_one_nat))))))
% 16.06/16.31 (assume a10313 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_lv Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat Uu2 Uua)) (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) tptp.one_one_nat))))))
% 16.06/16.31 (assume a10314 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_lw Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int Uu2 Uua)) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) tptp.one_one_nat))))))
% 16.06/16.31 (assume a10315 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_nl Uu2) Uua) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real Uu2 Uua)) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat tptp.suc Uua))))))
% 16.06/16.31 (assume a10316 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_nj Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat Uu2 Uua)) (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat tptp.suc Uua))))))
% 16.06/16.31 (assume a10317 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_nk Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int Uu2 Uua)) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat tptp.suc Uua))))))
% 16.06/16.31 (assume a10318 (forall ((Uu2 tptp.fun_nat_fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_qf Uu2) Uua) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat Uu2 Uua)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 16.06/16.31 (assume a10319 (forall ((Uu2 tptp.fun_nat_fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_qi Uu2) Uua) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int Uu2 Uua) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 16.06/16.31 (assume a10320 (forall ((Uu2 tptp.fun_nat_fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_rn Uu2) Uua) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real Uu2 Uua) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 16.06/16.31 (assume a10321 (forall ((Uu2 tptp.fun_nat_fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_rl Uu2) Uua) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat Uu2 Uua)) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 16.06/16.31 (assume a10322 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_yd Uu2) Uua) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_xp Uu2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_nat))))))
% 16.06/16.31 (assume a10323 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_yc Uu2) Uua) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_xp Uu2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))))))
% 16.06/16.31 (assume a10324 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ze Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.nat_triangle (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uua))) Uu2))))
% 16.06/16.31 (assume a10325 (forall ((Uu2 tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_mu Uu2) Uua) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc Uua))) (tptp.aa_nat_complex (tptp.power_power_complex Uu2) Uua)))))
% 16.06/16.31 (assume a10326 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_mt Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uua))) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uua)))))
% 16.06/16.31 (assume a10327 (forall ((Uu2 tptp.num) (Uua tptp.num)) (= (tptp.aa_num_int (tptp.aTP_Lamm_wp Uu2) Uua) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat Uu2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat Uu2))) (tptp.aa_num_int tptp.numeral_numeral_int Uua))))))
% 16.06/16.31 (assume a10328 (forall ((Uu2 tptp.nat) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_xa Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real Uua)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real Uua)) Uu2)))))
% 16.06/16.31 (assume a10329 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_pe Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.sin_coeff Uua)) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uua)))))
% 16.06/16.31 (assume a10330 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ou Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.cos_coeff Uua)) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uua)))))
% 16.06/16.31 (assume a10331 (forall ((Uu2 tptp.num) (Uua tptp.num)) (= (tptp.aa_num_int (tptp.aa_num_fun_num_int tptp.aTP_Lamm_zm Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int Uu2)) (tptp.aa_num_int tptp.numeral_numeral_int Uua)))))
% 16.06/16.31 (assume a10332 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_pn Uu2) Uua) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua)) Uu2))))
% 16.06/16.31 (assume a10333 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real tptp.aTP_Lamm_pp Uu2) Uua) (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)) Uu2))))
% 16.06/16.31 (assume a10334 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_po Uu2) Uua) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua)) Uu2))))
% 16.06/16.31 (assume a10335 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger tptp.aTP_Lamm_gw Uu2) Uua) (tptp.produc1086072967326762835nteger Uu2 (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) tptp.one_one_Code_integer)))))
% 16.06/16.31 (assume a10336 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat tptp.aTP_Lamm_gv Uu2) Uua) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_nat)))))
% 16.06/16.31 (assume a10337 (forall ((Uu2 tptp.int) (Uua tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.aTP_Lamm_gu Uu2) Uua) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Uu2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_int)))))
% 16.06/16.31 (assume a10338 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger tptp.aTP_Lamm_gz Uu2) Uua) (tptp.produc1086072967326762835nteger Uu2 (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))
% 16.06/16.31 (assume a10339 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat tptp.aTP_Lamm_gy Uu2) Uua) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))
% 16.06/16.31 (assume a10340 (forall ((Uu2 tptp.int) (Uua tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.aTP_Lamm_gx Uu2) Uua) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Uu2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))
% 16.06/16.31 (assume a10341 (forall ((Uu2 tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_pq Uu2) Uua) (tptp.aa_complex_complex (tptp.plus_plus_complex Uu2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.31 (assume a10342 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ps Uu2) Uua) (tptp.aa_real_real (tptp.plus_plus_real Uu2) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.31 (assume a10343 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_pr Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 16.06/16.31 (assume a10344 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_vh Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua)))))
% 16.06/16.31 (assume a10345 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_xy Uu2) Uua) (tptp.aa_real_real (tptp.times_times_real Uu2) (tptp.aa_real_real (tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uua)))))))))
% 16.06/16.31 (assume a10346 (forall ((Uu2 tptp.nat) (Uua tptp.vEBT_VEBT)) (= (tptp.aa_VEB5832953974749077948T_VEBT (tptp.aTP_Lamm_zv Uu2) Uua) (tptp.vEBT_VEBT_elim_dead Uua (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 16.06/16.31 (assume a10347 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_xw Uu2) Uua) (tptp.aa_real_real (tptp.plus_plus_real Uu2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uua))))))))
% 16.06/16.31 (assume a10348 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_xt Uu2) Uua) (tptp.aa_real_real (tptp.plus_plus_real Uu2) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uua)))))))
% 16.06/16.31 (assume a10349 (forall ((Uu2 tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_tu Uu2) Uua) (tptp.aa_complex_complex (tptp.minus_minus_complex Uu2) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua)))))
% 16.06/16.31 (assume a10350 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_tw Uu2) Uua) (tptp.aa_real_real (tptp.minus_minus_real Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)))))
% 16.06/16.31 (assume a10351 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_tv Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat Uu2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua)))))
% 16.06/16.31 (assume a10352 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_tx Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uua)))))
% 16.06/16.31 (assume a10353 (forall ((Uu2 tptp.int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_ty Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Uu2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uua)))))
% 16.06/16.31 (assume a10354 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_sj Uu2) Uua) (tptp.aa_real_real (tptp.plus_plus_real Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)))))
% 16.06/16.31 (assume a10355 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_si Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua)))))
% 16.06/16.31 (assume a10356 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_sk Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uua)))))
% 16.06/16.31 (assume a10357 (forall ((Uu2 tptp.int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_sl Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uua)))))
% 16.06/16.31 (assume a10358 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_list_nat (tptp.aa_nat6157064778417537467st_nat tptp.aTP_Lamm_zt Uu2) Uua) (tptp.cons_nat Uu2 (tptp.aa_nat_list_nat tptp.nat_list_decode Uua)))))
% 16.06/16.31 (assume a10359 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_wo Uu2) Uua)) (= Uua (tptp.aa_nat_nat tptp.suc Uu2)))))
% 16.06/16.31 (assume a10360 (forall ((Uu2 tptp.set_Pr1261947904930325089at_nat) (Uua tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.aTP_Lamm_es Uu2) Uua)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat Uua) Uu2)))))
% 16.06/16.31 (assume a10361 (forall ((Uu2 tptp.set_complex) (Uua tptp.set_complex)) (= (tptp.pp (tptp.aa_set_complex_bool (tptp.aTP_Lamm_er Uu2) Uua)) (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex Uua) Uu2)))))
% 16.06/16.31 (assume a10362 (forall ((Uu2 tptp.set_nat) (Uua tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aTP_Lamm_et Uu2) Uua)) (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat Uua) Uu2)))))
% 16.06/16.31 (assume a10363 (forall ((Uu2 tptp.rat) (Uua tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.aTP_Lamm_ql Uu2) Uua)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Uua) Uu2)))))
% 16.06/16.31 (assume a10364 (forall ((Uu2 tptp.num) (Uua tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.aTP_Lamm_qm Uu2) Uua)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Uua) Uu2)))))
% 16.06/16.31 (assume a10365 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_eq Uu2) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Uua) Uu2)))))
% 16.06/16.31 (assume a10366 (forall ((Uu2 tptp.int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_qn Uu2) Uua)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uua) Uu2)))))
% 16.06/16.31 (assume a10367 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_mb Uu2) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uua) Uu2)))))
% 16.06/16.31 (assume a10368 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_wq Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uu2))))
% 16.06/16.31 (assume a10369 (forall ((Uu2 tptp.nat) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_xb Uu2) Uua) (tptp.aa_nat_real (tptp.power_power_real Uua) Uu2))))
% 16.06/16.31 (assume a10370 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_yy Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uu2))))
% 16.06/16.31 (assume a10371 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.aTP_Lamm_ft Uu2) Uua)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer Uua) Uu2)))))
% 16.06/16.31 (assume a10372 (forall ((Uu2 tptp.complex) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.aTP_Lamm_fr Uu2) Uua)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.dvd_dvd_complex Uua) Uu2)))))
% 16.06/16.31 (assume a10373 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_fu Uu2) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Uua) Uu2)))))
% 16.06/16.31 (assume a10374 (forall ((Uu2 tptp.int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_fs Uu2) Uua)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Uua) Uu2)))))
% 16.06/16.31 (assume a10375 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat tptp.aTP_Lamm_wf Uu2) Uua) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uua) Uu2))))
% 16.06/16.31 (assume a10376 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_rk Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uua) Uu2))))
% 16.06/16.31 (assume a10377 (forall ((Uu2 tptp.set_Pr4329608150637261639at_nat) (Uua tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.aTP_Lamm_be Uu2) Uua)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat Uua) Uu2)))))
% 16.06/16.31 (assume a10378 (forall ((Uu2 tptp.set_Pr1261947904930325089at_nat) (Uua tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aTP_Lamm_ae Uu2) Uua)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Uua) Uu2)))))
% 16.06/16.31 (assume a10379 (forall ((Uu2 tptp.set_complex) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_ad Uu2) Uua)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uua) Uu2)))))
% 16.06/16.31 (assume a10380 (forall ((Uu2 tptp.set_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_a Uu2) Uua)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uua) Uu2)))))
% 16.06/16.31 (assume a10381 (forall ((Uu2 tptp.set_list_nat) (Uua tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aTP_Lamm_ag Uu2) Uua)) (tptp.member_list_nat Uua Uu2))))
% 16.06/16.31 (assume a10382 (forall ((Uu2 tptp.set_bool) (Uua tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aTP_Lamm_aa Uu2) Uua)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uua) Uu2)))))
% 16.06/16.31 (assume a10383 (forall ((Uu2 tptp.set_set_nat) (Uua tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aTP_Lamm_af Uu2) Uua)) (tptp.member_set_nat Uua Uu2))))
% 16.06/16.31 (assume a10384 (forall ((Uu2 tptp.set_nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_ac Uu2) Uua)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uua) Uu2)))))
% 16.06/16.31 (assume a10385 (forall ((Uu2 tptp.set_int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_ab Uu2) Uua)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uua) Uu2)))))
% 16.06/16.31 (assume a10386 (forall ((Uu2 tptp.produc3843707927480180839at_nat) (Uua tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.aTP_Lamm_aj Uu2) Uua)) (= Uua Uu2))))
% 16.06/16.31 (assume a10387 (forall ((Uu2 tptp.product_prod_nat_nat) (Uua tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool tptp.aTP_Lamm_an Uu2) Uua)) (= Uua Uu2))))
% 16.06/16.31 (assume a10388 (forall ((Uu2 tptp.complex) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.aTP_Lamm_ak Uu2) Uua)) (= Uua Uu2))))
% 16.06/16.31 (assume a10389 (forall ((Uu2 tptp.list_nat) (Uua tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aTP_Lamm_am Uu2) Uua)) (= Uua Uu2))))
% 16.06/16.31 (assume a10390 (forall ((Uu2 tptp.bool) (Uua tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.aTP_Lamm_ao Uu2) Uua)) (= (tptp.pp Uua) (tptp.pp Uu2)))))
% 16.06/16.31 (assume a10391 (forall ((Uu2 tptp.set_nat) (Uua tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aTP_Lamm_al Uu2) Uua)) (= Uua Uu2))))
% 16.06/16.31 (assume a10392 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ap Uu2) Uua)) (= Uua Uu2))))
% 16.06/16.31 (assume a10393 (forall ((Uu2 tptp.int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_aq Uu2) Uua)) (= Uua Uu2))))
% 16.06/16.31 (assume a10394 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.aTP_Lamm_zi Uu2) Uua) (tptp.aa_nat_set_nat (tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq) Uu2))))
% 16.06/16.31 (assume a10395 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ol Uu2) Uua) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_nat)))))
% 16.06/16.31 (assume a10396 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ok Uu2) Uua) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))
% 16.06/16.31 (assume a10397 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_il Uu2) Uua) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat tptp.suc Uua)))))
% 16.06/16.31 (assume a10398 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_ys Uu2) Uua)) (tptp.pp (tptp.aa_nat_bool Uu2 (tptp.aa_nat_nat tptp.suc Uua))))))
% 16.06/16.31 (assume a10399 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_jq Uu2) Uua) (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat tptp.suc Uua)))))
% 16.06/16.31 (assume a10400 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_is Uu2) Uua) (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat tptp.suc Uua)))))
% 16.06/16.31 (assume a10401 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_jr Uu2) Uua) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat tptp.suc Uua)))))
% 16.06/16.31 (assume a10402 (forall ((Uu2 tptp.nat) (Uua tptp.num)) (= (tptp.aa_num_option_num (tptp.aTP_Lamm_wx Uu2) Uua) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_take_bit_num Uu2 Uua))))))
% 16.06/16.31 (assume a10403 (forall ((Uu2 tptp.num) (Uua tptp.nat)) (= (tptp.aa_nat_option_num (tptp.aTP_Lamm_wv Uu2) Uua) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_take_bit_num Uua Uu2))))))
% 16.06/16.31 (assume a10404 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool tptp.aTP_Lamm_zr Uu2) Uua) (tptp.produc8955392012077580105t_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_zq Uu2) Uua)))))
% 16.06/16.31 (assume a10405 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat tptp.aTP_Lamm_wn Uu2) Uua) (tptp.produc2626176000494625587at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_wm Uu2) Uua)))))
% 16.06/16.31 (assume a10406 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat tptp.aTP_Lamm_wl Uu2) Uua) (tptp.produc2626176000494625587at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_wk Uu2) Uua)))))
% 16.06/16.31 (assume a10407 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool tptp.aTP_Lamm_wj Uu2) Uua) (tptp.produc8955392012077580105t_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_wi Uu2) Uua)))))
% 16.06/16.31 (assume a10408 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool tptp.aTP_Lamm_wh Uu2) Uua) (tptp.produc8955392012077580105t_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_wg Uu2) Uua)))))
% 16.06/16.31 (assume a10409 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat tptp.aTP_Lamm_we Uu2) Uua) (tptp.produc2626176000494625587at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_wd Uu2) Uua)))))
% 16.06/16.31 (assume a10410 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_xn Uu2) Uua) (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xm Uu2) Uua)))))
% 16.06/16.31 (assume a10411 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_vo Uu2) Uua) (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uu2))))))
% 16.06/16.31 (assume a10412 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_fv Uu2) Uua)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))))))))
% 16.06/16.31 (assume a10413 (forall ((Uu2 tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat3829984526574172007omplex (tptp.aTP_Lamm_pt Uu2) Uua) (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uu2) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))))))
% 16.06/16.31 (assume a10414 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_pv Uu2) Uua) (tptp.times_times_real (tptp.aa_real_real (tptp.plus_plus_real Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))))))
% 16.06/16.31 (assume a10415 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_rat_rat (tptp.aTP_Lamm_pu Uu2) Uua) (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua))))))
% 16.06/16.31 (assume a10416 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_px Uu2) Uua) (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uua))))))
% 16.06/16.31 (assume a10417 (forall ((Uu2 tptp.int) (Uua tptp.nat)) (= (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_pw Uu2) Uua) (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uua))))))
% 16.06/16.31 (assume a10418 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.aTP_Lamm_zg Uu2) Uua) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uua)))))
% 16.06/16.31 (assume a10419 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_xv Uu2) Uua) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real (tptp.power_power_real Uu2) Uua)))))
% 16.06/16.31 (assume a10420 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aTP_Lamm_zw Uu2) Uua) (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uua)))))
% 16.06/16.31 (assume a10421 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_yw Uu2) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat Uu2) Uua)))))
% 16.06/16.31 (assume a10422 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_yx Uu2) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat Uua) Uu2)))))
% 16.06/16.31 (assume a10423 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_vu Uu2) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Uu2) Uua)))))
% 16.06/16.31 (assume a10424 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_vv Uu2) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Uua) Uu2)))))
% 16.06/16.31 (assume a10425 (forall ((Uu2 tptp.set_Pr1261947904930325089at_nat) (Uua tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aTP_Lamm_hk Uu2) Uua)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Uua) Uu2))))))
% 16.06/16.31 (assume a10426 (forall ((Uu2 tptp.set_complex) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_hj Uu2) Uua)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uua) Uu2))))))
% 16.06/16.31 (assume a10427 (forall ((Uu2 tptp.set_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_hf Uu2) Uua)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uua) Uu2))))))
% 16.06/16.31 (assume a10428 (forall ((Uu2 tptp.set_list_nat) (Uua tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aTP_Lamm_hm Uu2) Uua)) (not (tptp.member_list_nat Uua Uu2)))))
% 16.06/16.31 (assume a10429 (forall ((Uu2 tptp.set_bool) (Uua tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aTP_Lamm_hg Uu2) Uua)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uua) Uu2))))))
% 16.06/16.31 (assume a10430 (forall ((Uu2 tptp.set_set_nat) (Uua tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aTP_Lamm_hl Uu2) Uua)) (not (tptp.member_set_nat Uua Uu2)))))
% 16.06/16.31 (assume a10431 (forall ((Uu2 tptp.set_nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_hi Uu2) Uua)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uua) Uu2))))))
% 16.06/16.31 (assume a10432 (forall ((Uu2 tptp.set_int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_hh Uu2) Uua)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uua) Uu2))))))
% 16.06/16.31 (assume a10433 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_iz Uu2) Uua) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex Uu2 Uua)))))
% 16.06/16.31 (assume a10434 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_xr Uu2) Uua) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real Uu2 Uua)))))
% 16.06/16.31 (assume a10435 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_sx Uu2) Uua) (tptp.plus_plus_real (tptp.aa_nat_real Uu2 Uua)))))
% 16.06/16.31 (assume a10436 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_rat_rat (tptp.aTP_Lamm_su Uu2) Uua) (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat Uu2 Uua)))))
% 16.06/16.31 (assume a10437 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_sw Uu2) Uua) (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat Uu2 Uua)))))
% 16.06/16.31 (assume a10438 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_sv Uu2) Uua) (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int Uu2 Uua)))))
% 16.06/16.31 (assume a10439 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ic Uu2) Uua) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real Uu2 Uua)))))
% 16.06/16.31 (assume a10440 (forall ((Uu2 tptp.fun_int_int) (Uua tptp.int)) (= (tptp.aa_int_int (tptp.aTP_Lamm_id Uu2) Uua) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int Uu2 Uua)))))
% 16.06/16.31 (assume a10441 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_yb Uu2) Uua) (tptp.aa_real_real tptp.cos_real (tptp.aa_nat_real Uu2 Uua)))))
% 16.06/16.31 (assume a10442 (forall ((Uu2 tptp.fun_Pr7757163693017731481t_bool) (Uua tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aTP_Lamm_hc Uu2) Uua)) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uu2 Uua))))))
% 16.06/16.31 (assume a10443 (forall ((Uu2 tptp.fun_complex_bool) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_hb Uu2) Uua)) (not (tptp.pp (tptp.aa_complex_bool Uu2 Uua))))))
% 16.06/16.31 (assume a10444 (forall ((Uu2 tptp.fun_list_nat_bool) (Uua tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aTP_Lamm_he Uu2) Uua)) (not (tptp.pp (tptp.aa_list_nat_bool Uu2 Uua))))))
% 16.06/16.31 (assume a10445 (forall ((Uu2 tptp.fun_set_nat_bool) (Uua tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aTP_Lamm_hd Uu2) Uua)) (not (tptp.pp (tptp.aa_set_nat_bool Uu2 Uua))))))
% 16.06/16.31 (assume a10446 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_ha Uu2) Uua)) (not (tptp.pp (tptp.aa_nat_bool Uu2 Uua))))))
% 16.06/16.31 (assume a10447 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.aTP_Lamm_zh Uu2) Uua) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_mb Uu2)))))
% 16.06/16.31 (assume a10448 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_oi Uu2) Uua) Uub) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uub) (tptp.aa_nat_real Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) tptp.one_one_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 16.06/16.31 (assume a10449 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_oj Uu2) Uua) Uub) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uub) (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real Uua Uub)))))
% 16.06/16.31 (assume a10450 (forall ((Uu2 tptp.num) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger (tptp.aTP_Lamm_fy Uu2) Uua) Uub) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger Uu2)) Uub) (tptp.produc1086072967326762835nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) tptp.one_one_Code_integer) (tptp.minus_8373710615458151222nteger Uub (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger Uu2))) (tptp.produc1086072967326762835nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_num_Code_integer tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) Uub)))))
% 16.06/16.31 (assume a10451 (forall ((Uu2 tptp.num) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat (tptp.aTP_Lamm_fw Uu2) Uua) Uub) (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.if_Pro6206227464963214023at_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat Uu2)) Uub)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat Uu2)))) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) Uub)))))
% 16.06/16.31 (assume a10452 (forall ((Uu2 tptp.num) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_fx Uu2) Uua) Uub) (tptp.aa_Pro6970504127699319548nt_int (tptp.if_Pro3027730157355071871nt_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int Uu2)) Uub) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Uub) (tptp.aa_num_int tptp.numeral_numeral_int Uu2)))) (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) Uub)))))
% 16.06/16.31 (assume a10453 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger (tptp.aTP_Lamm_wb Uu2) Uua) Uub) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uub) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) tptp.one_one_Code_integer) (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uu2) Uub))))))
% 16.06/16.31 (assume a10454 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger (tptp.aTP_Lamm_wc Uu2) Uua) Uub) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uub) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) tptp.one_one_Code_integer) (tptp.minus_8373710615458151222nteger (tptp.abs_abs_Code_integer Uu2) Uub))))))
% 16.06/16.31 (assume a10455 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger (tptp.aTP_Lamm_wa Uu2) Uua) Uub) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uub) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) tptp.one_one_Code_integer) (tptp.minus_8373710615458151222nteger Uu2 Uub))))))
% 16.06/16.31 (assume a10456 (forall ((Uu2 tptp.fun_nat_fun_nat_real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_sc Uu2) Uua) Uub) (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real Uu2 Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub)))))
% 16.06/16.31 (assume a10457 (forall ((Uu2 tptp.fun_nat_fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_sa Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat Uu2 Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub)))))
% 16.06/16.31 (assume a10458 (forall ((Uu2 tptp.fun_nat_fun_nat_real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ro Uu2) Uua) Uub) (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real Uu2 Uub) Uua))))
% 16.06/16.31 (assume a10459 (forall ((Uu2 tptp.fun_nat_fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qg Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat Uu2 Uub) Uua))))
% 16.06/16.31 (assume a10460 (forall ((Uu2 tptp.fun_nat_fun_nat_int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_qj Uu2) Uua) Uub) (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int Uu2 Uub) Uua))))
% 16.06/16.31 (assume a10461 (forall ((Uu2 tptp.nat) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_ne Uu2) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uub) Uu2) tptp.one_one_complex) tptp.zero_zero_complex)) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uub)))))
% 16.06/16.31 (assume a10462 (forall ((Uu2 tptp.nat) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_nf Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uub) Uu2) tptp.one_one_real) tptp.zero_zero_real)) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub)))))
% 16.06/16.31 (assume a10463 (forall ((Uu2 tptp.nat) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_ng Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uub) Uu2)) tptp.one_one_int) tptp.zero_zero_int)) (tptp.aa_nat_int (tptp.power_power_int Uua) Uub)))))
% 16.06/16.31 (assume a10464 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod2825494507867081354r_bool (tptp.aa_Cod4981436349852597092r_bool (tptp.aTP_Lamm_vx Uu2) Uua) Uub) (tptp.produc5135875973608410785r_bool (tptp.if_Code_integer (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) Uu2) Uua (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) Uub)) (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uub) tptp.one_one_Code_integer)))))
% 16.06/16.31 (assume a10465 (forall ((Uu2 tptp.fun_nat_fun_nat_int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_qk Uu2) Uua) Uub) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_qj Uu2) Uub) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uub)) Uua)))))
% 16.06/16.31 (assume a10466 (forall ((Uu2 tptp.fun_nat_fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qh Uu2) Uua) Uub) (tptp.aa_set_nat_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qg Uu2) Uub)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uub)) Uua)))))
% 16.06/16.31 (assume a10467 (forall ((Uu2 tptp.fun_nat_fun_nat_real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_rp Uu2) Uua) Uub) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ro Uu2) Uub) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uub)) Uua)))))
% 16.06/16.31 (assume a10468 (forall ((Uu2 tptp.fun_nat_fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_rm Uu2) Uua) Uub) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qg Uu2) Uub)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc Uub)) Uua)))))
% 16.06/16.31 (assume a10469 (forall ((Uu2 tptp.rat) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_yo Uu2) Uua) Uub) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_yn Uua) Uub)) (tptp.quotient_of Uu2)))))
% 16.06/16.31 (assume a10470 (forall ((Uu2 tptp.rat) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_ym Uu2) Uua) Uub) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_yl Uua) Uub)) (tptp.quotient_of Uu2)))))
% 16.06/16.31 (assume a10471 (forall ((Uu2 tptp.rat) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_yk Uu2) Uua) Uub) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_yj Uua) Uub)) (tptp.quotient_of Uu2)))))
% 16.06/16.31 (assume a10472 (forall ((Uu2 tptp.rat) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_yi Uu2) Uua) Uub) (tptp.aa_Pro6970504127699319548nt_int (tptp.produc4245557441103728435nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_yh Uua) Uub)) (tptp.quotient_of Uu2)))))
% 16.06/16.31 (assume a10473 (forall ((Uu2 tptp.fun_na6724076748692969250l_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xd Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uu2 Uub) tptp.zero_zero_real)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub)))))
% 16.06/16.31 (assume a10474 (forall ((Uu2 tptp.real) (Uua tptp.fun_na2180513548729900188l_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun4674562053777771865t_real (tptp.aTP_Lamm_ow Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_literal_real (tptp.aa_nat8303615512603269253l_real Uua Uub) tptp.zero_zero_literal)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uub)))))
% 16.06/16.31 (assume a10475 (forall ((Uu2 tptp.real) (Uua tptp.fun_na6724076748692969250l_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_ox Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uua Uub) tptp.zero_zero_real)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uub)))))
% 16.06/16.31 (assume a10476 (forall ((Uu2 tptp.real) (Uua tptp.fun_nat_fun_rat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun507281639146497029t_real (tptp.aTP_Lamm_oy Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_rat_real (tptp.aa_nat_fun_rat_real Uua Uub) tptp.zero_zero_rat)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uub)))))
% 16.06/16.31 (assume a10477 (forall ((Uu2 tptp.real) (Uua tptp.fun_nat_fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun7039663905532832253t_real (tptp.aTP_Lamm_oz Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real Uua Uub) tptp.zero_zero_nat)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uub)))))
% 16.06/16.31 (assume a10478 (forall ((Uu2 tptp.real) (Uua tptp.fun_nat_fun_int_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun241848180832411225t_real (tptp.aTP_Lamm_pa Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_int_real (tptp.aa_nat_fun_int_real Uua Uub) tptp.zero_zero_int)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uub)))))
% 16.06/16.31 (assume a10479 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.nat) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_sg Uu2) Uua) Uub)) (= (tptp.groups2073611262835488442omplex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq Uu2) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)) tptp.zero_zero_complex))))
% 16.06/16.31 (assume a10480 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_nat_fun_real_bool (tptp.aTP_Lamm_sh Uu2) Uua) Uub)) (= (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io Uu2) Uub) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uua)) tptp.zero_zero_real))))
% 16.06/16.31 (assume a10481 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_if Uu2) Uua) Uub) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu2 Uub)) (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) Uub))) (tptp.aa_nat_complex Uua Uub)))))
% 16.06/16.31 (assume a10482 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ih Uu2) Uua) Uub) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real (tptp.power_power_real tptp.zero_zero_real) Uub))) (tptp.aa_nat_real Uua Uub)))))
% 16.06/16.31 (assume a10483 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.fun_nat_rat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_ig Uu2) Uua) Uub) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat Uu2 Uub)) (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) Uub))) (tptp.aa_nat_rat Uua Uub)))))
% 16.06/16.31 (assume a10484 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xl Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uub)))) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub)))))
% 16.06/16.31 (assume a10485 (forall ((Uu2 tptp.real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_pb Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real Uua Uub)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uub)))))
% 16.06/16.31 (assume a10486 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_zb Uu2) Uua) Uub)) (and (= (tptp.size_size_list_nat Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) tptp.one_one_nat)) (= (tptp.groups4561878855575611511st_nat Uub) Uua)))))
% 16.06/16.31 (assume a10487 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_op Uu2) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uub)) (tptp.aa_nat_complex Uu2 Uub))) (tptp.aa_nat_complex (tptp.power_power_complex Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 16.06/16.31 (assume a10488 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_or Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uub)) (tptp.aa_nat_real Uu2 Uub))) (tptp.aa_nat_real (tptp.power_power_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 16.06/16.31 (assume a10489 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_zc Uu2) Uua) Uub)) (and (= (tptp.size_size_list_nat Uub) Uu2) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups4561878855575611511st_nat Uub)) tptp.one_one_nat) Uua)))))
% 16.06/16.31 (assume a10490 (forall ((Uu2 tptp.set_VEBT_VEBT) (Uua tptp.nat) (Uub tptp.list_VEBT_VEBT)) (= (tptp.pp (tptp.aa_lis2822252094023462681T_bool (tptp.aa_nat1297483763028037422T_bool (tptp.aTP_Lamm_em Uu2) Uua) Uub)) (and (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 Uub) Uu2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_s6755466524823107622T_VEBT Uub)) Uua))))))
% 16.06/16.31 (assume a10491 (forall ((Uu2 tptp.set_Pr1261947904930325089at_nat) (Uua tptp.nat) (Uub tptp.list_P6011104703257516679at_nat)) (= (tptp.pp (tptp.aa_lis6649954313659033868t_bool (tptp.aa_nat1772366067986465313t_bool (tptp.aTP_Lamm_el Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.set_Pr5648618587558075414at_nat Uub)) Uu2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_s5460976970255530739at_nat Uub)) Uua))))))
% 16.06/16.31 (assume a10492 (forall ((Uu2 tptp.set_complex) (Uua tptp.nat) (Uub tptp.list_complex)) (= (tptp.pp (tptp.aa_list_complex_bool (tptp.aa_nat8039161444313734436x_bool (tptp.aTP_Lamm_ek Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.set_complex2 Uub)) Uu2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_s3451745648224563538omplex Uub)) Uua))))))
% 16.06/16.31 (assume a10493 (forall ((Uu2 tptp.set_bool) (Uua tptp.nat) (Uub tptp.list_bool)) (= (tptp.pp (tptp.aa_list_bool_bool (tptp.aa_nat4862889769322786699l_bool (tptp.aTP_Lamm_en Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool (tptp.set_bool2 Uub)) Uu2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_bool Uub)) Uua))))))
% 16.06/16.31 (assume a10494 (forall ((Uu2 tptp.set_nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_ep Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.set_nat2 Uub)) Uu2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_nat Uub)) Uua))))))
% 16.06/16.31 (assume a10495 (forall ((Uu2 tptp.set_int) (Uua tptp.nat) (Uub tptp.list_int)) (= (tptp.pp (tptp.aa_list_int_bool (tptp.aa_nat1619170893822700070t_bool (tptp.aTP_Lamm_eo Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 Uub)) Uu2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_size_list_int Uub)) Uua))))))
% 16.06/16.31 (assume a10496 (forall ((Uu2 tptp.set_VEBT_VEBT) (Uua tptp.nat) (Uub tptp.list_VEBT_VEBT)) (= (tptp.pp (tptp.aa_lis2822252094023462681T_bool (tptp.aa_nat1297483763028037422T_bool (tptp.aTP_Lamm_eg Uu2) Uua) Uub)) (and (tptp.ord_le4337996190870823476T_VEBT (tptp.set_VEBT_VEBT2 Uub) Uu2) (= (tptp.size_s6755466524823107622T_VEBT Uub) Uua)))))
% 16.06/16.31 (assume a10497 (forall ((Uu2 tptp.set_Pr1261947904930325089at_nat) (Uua tptp.nat) (Uub tptp.list_P6011104703257516679at_nat)) (= (tptp.pp (tptp.aa_lis6649954313659033868t_bool (tptp.aa_nat1772366067986465313t_bool (tptp.aTP_Lamm_ef Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool tptp.ord_le3146513528884898305at_nat (tptp.set_Pr5648618587558075414at_nat Uub)) Uu2)) (= (tptp.size_s5460976970255530739at_nat Uub) Uua)))))
% 16.06/16.31 (assume a10498 (forall ((Uu2 tptp.set_complex) (Uua tptp.nat) (Uub tptp.list_complex)) (= (tptp.pp (tptp.aa_list_complex_bool (tptp.aa_nat8039161444313734436x_bool (tptp.aTP_Lamm_ee Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.ord_le211207098394363844omplex (tptp.set_complex2 Uub)) Uu2)) (= (tptp.size_s3451745648224563538omplex Uub) Uua)))))
% 16.06/16.31 (assume a10499 (forall ((Uu2 tptp.set_bool) (Uua tptp.nat) (Uub tptp.list_bool)) (= (tptp.pp (tptp.aa_list_bool_bool (tptp.aa_nat4862889769322786699l_bool (tptp.aTP_Lamm_eh Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.ord_less_eq_set_bool (tptp.set_bool2 Uub)) Uu2)) (= (tptp.size_size_list_bool Uub) Uua)))))
% 16.06/16.31 (assume a10500 (forall ((Uu2 tptp.set_nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_ej Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.ord_less_eq_set_nat (tptp.set_nat2 Uub)) Uu2)) (= (tptp.size_size_list_nat Uub) Uua)))))
% 16.06/16.31 (assume a10501 (forall ((Uu2 tptp.set_int) (Uua tptp.nat) (Uub tptp.list_int)) (= (tptp.pp (tptp.aa_list_int_bool (tptp.aa_nat1619170893822700070t_bool (tptp.aTP_Lamm_ei Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.ord_less_eq_set_int (tptp.set_int2 Uub)) Uu2)) (= (tptp.size_size_list_int Uub) Uua)))))
% 16.06/16.31 (assume a10502 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_za Uu2) Uua) Uub)) (and (= (tptp.size_size_list_nat Uub) Uu2) (= (tptp.groups4561878855575611511st_nat Uub) Uua)))))
% 16.06/16.31 (assume a10503 (forall ((Uu2 tptp.set_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_vs Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat (tptp.aa_nat_nat tptp.suc Uub)) Uu2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uub) Uua))))))
% 16.06/16.31 (assume a10504 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_zf Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uua) Uu2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uub) Uu2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Uua) Uub))))))
% 16.06/16.31 (assume a10505 (forall ((Uu2 tptp.set_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_vt Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uub) (tptp.aa_nat_nat tptp.suc Uua)))))))
% 16.06/16.31 (assume a10506 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_oo Uu2) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.diffs_complex Uu2) Uub)) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uub)))))
% 16.06/16.31 (assume a10507 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_oq Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.diffs_real Uu2) Uub)) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub)))))
% 16.06/16.31 (assume a10508 (forall ((Uu2 tptp.complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aTP_Lamm_ot Uu2) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.diffs_complex Uua) Uub)) (tptp.aa_nat_complex (tptp.power_power_complex Uu2) Uub)))))
% 16.06/16.31 (assume a10509 (forall ((Uu2 tptp.real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_os Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.diffs_real Uua) Uub)) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uub)))))
% 16.06/16.31 (assume a10510 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_se Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uub)))))
% 16.06/16.31 (assume a10511 (forall ((Uu2 tptp.set_Pr4329608150637261639at_nat) (Uua tptp.set_Pr4329608150637261639at_nat) (Uub tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.aa_set377272637606474814t_bool (tptp.aTP_Lamm_bn Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat Uub) Uu2)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat Uub) Uua))))))
% 16.06/16.31 (assume a10512 (forall ((Uu2 tptp.set_Pr1261947904930325089at_nat) (Uua tptp.set_Pr1261947904930325089at_nat) (Uub tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_set5223363028666124222t_bool (tptp.aTP_Lamm_bj Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Uub) Uu2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Uub) Uua))))))
% 16.06/16.31 (assume a10513 (forall ((Uu2 tptp.set_complex) (Uua tptp.set_complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_set3741564773079358752x_bool (tptp.aTP_Lamm_bi Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu2)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uua))))))
% 16.06/16.31 (assume a10514 (forall ((Uu2 tptp.set_real) (Uua tptp.set_real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_bf Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu2)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uua))))))
% 16.06/16.31 (assume a10515 (forall ((Uu2 tptp.set_list_nat) (Uua tptp.set_list_nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_set257547205302447420t_bool (tptp.aTP_Lamm_bl Uu2) Uua) Uub)) (or (tptp.member_list_nat Uub Uu2) (tptp.member_list_nat Uub Uua)))))
% 16.06/16.31 (assume a10516 (forall ((Uu2 tptp.set_bool) (Uua tptp.set_bool) (Uub tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_set6670506438128111678l_bool (tptp.aTP_Lamm_bg Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uub) Uu2)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uub) Uua))))))
% 16.06/16.31 (assume a10517 (forall ((Uu2 tptp.set_set_nat) (Uua tptp.set_set_nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set9121396911425987952t_bool (tptp.aTP_Lamm_bk Uu2) Uua) Uub)) (or (tptp.member_set_nat Uub Uu2) (tptp.member_set_nat Uub Uua)))))
% 16.06/16.31 (assume a10518 (forall ((Uu2 tptp.set_nat) (Uua tptp.set_nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_bm Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uua))))))
% 16.06/16.31 (assume a10519 (forall ((Uu2 tptp.set_int) (Uua tptp.set_int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_bh Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu2)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uua))))))
% 16.06/16.31 (assume a10520 (forall ((Uu2 tptp.produc3843707927480180839at_nat) (Uua tptp.set_Pr4329608150637261639at_nat) (Uub tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.aa_set377272637606474814t_bool (tptp.aTP_Lamm_cr Uu2) Uua) Uub)) (or (= Uub Uu2) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat Uub) Uua))))))
% 16.06/16.31 (assume a10521 (forall ((Uu2 tptp.product_prod_nat_nat) (Uua tptp.set_Pr1261947904930325089at_nat) (Uub tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_set5223363028666124222t_bool (tptp.aTP_Lamm_cx Uu2) Uua) Uub)) (or (= Uub Uu2) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Uub) Uua))))))
% 16.06/16.31 (assume a10522 (forall ((Uu2 tptp.complex) (Uua tptp.set_complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_set3741564773079358752x_bool (tptp.aTP_Lamm_cw Uu2) Uua) Uub)) (or (= Uub Uu2) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uua))))))
% 16.06/16.31 (assume a10523 (forall ((Uu2 tptp.real) (Uua tptp.set_real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_cs Uu2) Uua) Uub)) (or (= Uub Uu2) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uua))))))
% 16.06/16.31 (assume a10524 (forall ((Uu2 tptp.list_nat) (Uua tptp.set_list_nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_set257547205302447420t_bool (tptp.aTP_Lamm_cz Uu2) Uua) Uub)) (or (= Uub Uu2) (tptp.member_list_nat Uub Uua)))))
% 16.06/16.31 (assume a10525 (forall ((Uu2 tptp.bool) (Uua tptp.set_bool) (Uub tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_set6670506438128111678l_bool (tptp.aTP_Lamm_ct Uu2) Uua) Uub)) (or (= (tptp.pp Uub) (tptp.pp Uu2)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uub) Uua))))))
% 16.06/16.31 (assume a10526 (forall ((Uu2 tptp.set_nat) (Uua tptp.set_set_nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set9121396911425987952t_bool (tptp.aTP_Lamm_cy Uu2) Uua) Uub)) (or (= Uub Uu2) (tptp.member_set_nat Uub Uua)))))
% 16.06/16.31 (assume a10527 (forall ((Uu2 tptp.nat) (Uua tptp.set_nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_cv Uu2) Uua) Uub)) (or (= Uub Uu2) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uua))))))
% 16.06/16.31 (assume a10528 (forall ((Uu2 tptp.int) (Uua tptp.set_int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_cu Uu2) Uua) Uub)) (or (= Uub Uu2) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uua))))))
% 16.06/16.31 (assume a10529 (forall ((Uu2 tptp.vEBT_VEBT) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ah Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member Uu2) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uua) Uub))))))
% 16.06/16.31 (assume a10530 (forall ((Uu2 tptp.vEBT_VEBT) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ai Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member Uu2) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uub) Uua))))))
% 16.06/16.31 (assume a10531 (forall ((Uu2 tptp.set_Pr1261947904930325089at_nat) (Uua tptp.set_Pr1261947904930325089at_nat) (Uub tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_set5223363028666124222t_bool (tptp.aTP_Lamm_ec Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Uub) Uu2)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Uub) Uua))))))
% 16.06/16.31 (assume a10532 (forall ((Uu2 tptp.set_complex) (Uua tptp.set_complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_set3741564773079358752x_bool (tptp.aTP_Lamm_dy Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu2)) (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uua))))))
% 16.06/16.31 (assume a10533 (forall ((Uu2 tptp.set_real) (Uua tptp.set_real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_dv Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu2)) (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uua))))))
% 16.06/16.31 (assume a10534 (forall ((Uu2 tptp.set_list_nat) (Uua tptp.set_list_nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_set257547205302447420t_bool (tptp.aTP_Lamm_ea Uu2) Uua) Uub)) (and (tptp.member_list_nat Uub Uu2) (tptp.member_list_nat Uub Uua)))))
% 16.06/16.31 (assume a10535 (forall ((Uu2 tptp.set_bool) (Uua tptp.set_bool) (Uub tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_set6670506438128111678l_bool (tptp.aTP_Lamm_dw Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uub) Uu2)) (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uub) Uua))))))
% 16.06/16.31 (assume a10536 (forall ((Uu2 tptp.set_set_nat) (Uua tptp.set_set_nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set9121396911425987952t_bool (tptp.aTP_Lamm_dz Uu2) Uua) Uub)) (and (tptp.member_set_nat Uub Uu2) (tptp.member_set_nat Uub Uua)))))
% 16.06/16.31 (assume a10537 (forall ((Uu2 tptp.set_nat) (Uua tptp.set_nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_eb Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu2)) (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uua))))))
% 16.06/16.31 (assume a10538 (forall ((Uu2 tptp.set_int) (Uua tptp.set_int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_dx Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu2)) (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uua))))))
% 16.06/16.31 (assume a10539 (forall ((Uu2 tptp.set_Pr1261947904930325089at_nat) (Uua tptp.fun_Pr7757163693017731481t_bool) (Uub tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_fun830836278467416944t_bool (tptp.aTP_Lamm_by Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Uub) Uu2)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uua Uub))))))
% 16.06/16.31 (assume a10540 (forall ((Uu2 tptp.set_complex) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_bx Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu2)) (tptp.pp (tptp.aa_complex_bool Uua Uub))))))
% 16.06/16.31 (assume a10541 (forall ((Uu2 tptp.set_real) (Uua tptp.fun_real_bool) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun6476784834714468668l_bool (tptp.aTP_Lamm_bu Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu2)) (tptp.pp (tptp.aa_real_bool Uua Uub))))))
% 16.06/16.31 (assume a10542 (forall ((Uu2 tptp.set_list_nat) (Uua tptp.fun_list_nat_bool) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_ca Uu2) Uua) Uub)) (and (tptp.member_list_nat Uub Uu2) (tptp.pp (tptp.aa_list_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10543 (forall ((Uu2 tptp.set_bool) (Uua tptp.fun_bool_bool) (Uub tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_fun8098540714523660868l_bool (tptp.aTP_Lamm_bv Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uub) Uu2)) (tptp.pp (tptp.aa_bool_bool Uua Uub))))))
% 16.06/16.31 (assume a10544 (forall ((Uu2 tptp.set_set_nat) (Uua tptp.fun_set_nat_bool) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_bz Uu2) Uua) Uub)) (and (tptp.member_set_nat Uub Uu2) (tptp.pp (tptp.aa_set_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10545 (forall ((Uu2 tptp.set_nat) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_cb Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu2)) (tptp.pp (tptp.aa_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10546 (forall ((Uu2 tptp.set_int) (Uua tptp.fun_int_bool) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_bw Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu2)) (tptp.pp (tptp.aa_int_bool Uua Uub))))))
% 16.06/16.31 (assume a10547 (forall ((Uu2 tptp.fun_Pr1607443439640623155t_bool) (Uua tptp.produc3843707927480180839at_nat) (Uub tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.aa_Pro2859564254541897054t_bool (tptp.aTP_Lamm_da Uu2) Uua) Uub)) (and (= Uua Uub) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10548 (forall ((Uu2 tptp.fun_Pr7757163693017731481t_bool) (Uua tptp.product_prod_nat_nat) (Uub tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.aTP_Lamm_de Uu2) Uua) Uub)) (and (= Uua Uub) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10549 (forall ((Uu2 tptp.fun_complex_bool) (Uua tptp.complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_db Uu2) Uua) Uub)) (and (= Uua Uub) (tptp.pp (tptp.aa_complex_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10550 (forall ((Uu2 tptp.fun_list_nat_bool) (Uua tptp.list_nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_lis4768068104879709938t_bool (tptp.aTP_Lamm_dd Uu2) Uua) Uub)) (and (= Uua Uub) (tptp.pp (tptp.aa_list_nat_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10551 (forall ((Uu2 tptp.fun_bool_bool) (Uua tptp.bool) (Uub tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool (tptp.aTP_Lamm_df Uu2) Uua) Uub)) (and (= (tptp.pp Uua) (tptp.pp Uub)) (tptp.pp (tptp.aa_bool_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10552 (forall ((Uu2 tptp.fun_set_nat_bool) (Uua tptp.set_nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool (tptp.aTP_Lamm_dc Uu2) Uua) Uub)) (and (= Uua Uub) (tptp.pp (tptp.aa_set_nat_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10553 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_dg Uu2) Uua) Uub)) (and (= Uua Uub) (tptp.pp (tptp.aa_nat_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10554 (forall ((Uu2 tptp.fun_int_bool) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_dh Uu2) Uua) Uub)) (and (= Uua Uub) (tptp.pp (tptp.aa_int_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10555 (forall ((Uu2 tptp.fun_Pr1607443439640623155t_bool) (Uua tptp.produc3843707927480180839at_nat) (Uub tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.aa_Pro2859564254541897054t_bool (tptp.aTP_Lamm_di Uu2) Uua) Uub)) (and (= Uub Uua) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10556 (forall ((Uu2 tptp.fun_Pr7757163693017731481t_bool) (Uua tptp.product_prod_nat_nat) (Uub tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.aTP_Lamm_dm Uu2) Uua) Uub)) (and (= Uub Uua) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10557 (forall ((Uu2 tptp.fun_complex_bool) (Uua tptp.complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_dj Uu2) Uua) Uub)) (and (= Uub Uua) (tptp.pp (tptp.aa_complex_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10558 (forall ((Uu2 tptp.fun_list_nat_bool) (Uua tptp.list_nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_lis4768068104879709938t_bool (tptp.aTP_Lamm_dl Uu2) Uua) Uub)) (and (= Uub Uua) (tptp.pp (tptp.aa_list_nat_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10559 (forall ((Uu2 tptp.fun_bool_bool) (Uua tptp.bool) (Uub tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool (tptp.aTP_Lamm_dn Uu2) Uua) Uub)) (and (= (tptp.pp Uub) (tptp.pp Uua)) (tptp.pp (tptp.aa_bool_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10560 (forall ((Uu2 tptp.fun_set_nat_bool) (Uua tptp.set_nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set5116768664143533222t_bool (tptp.aTP_Lamm_dk Uu2) Uua) Uub)) (and (= Uub Uua) (tptp.pp (tptp.aa_set_nat_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10561 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_do Uu2) Uua) Uub)) (and (= Uub Uua) (tptp.pp (tptp.aa_nat_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10562 (forall ((Uu2 tptp.fun_int_bool) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_dp Uu2) Uua) Uub)) (and (= Uub Uua) (tptp.pp (tptp.aa_int_bool Uu2 Uub))))))
% 16.06/16.31 (assume a10563 (forall ((Uu2 tptp.set_complex) (Uua tptp.fun_complex_real) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun2898354424061222765x_bool (tptp.aTP_Lamm_ff Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu2)) (not (= (tptp.aa_complex_real Uua Uub) tptp.zero_zero_real))))))
% 16.06/16.31 (assume a10564 (forall ((Uu2 tptp.set_complex) (Uua tptp.fun_complex_rat) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun2759627087638585025x_bool (tptp.aTP_Lamm_fp Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu2)) (not (= (tptp.aa_complex_rat Uua Uub) tptp.zero_zero_rat))))))
% 16.06/16.31 (assume a10565 (forall ((Uu2 tptp.set_real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_ex Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu2)) (not (= (tptp.aa_real_real Uua Uub) tptp.zero_zero_real))))))
% 16.06/16.31 (assume a10566 (forall ((Uu2 tptp.set_real) (Uua tptp.fun_real_rat) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun8987621170725249221l_bool (tptp.aTP_Lamm_fh Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu2)) (not (= (tptp.aa_real_rat Uua Uub) tptp.zero_zero_rat))))))
% 16.06/16.31 (assume a10567 (forall ((Uu2 tptp.set_bool) (Uua tptp.fun_bool_real) (Uub tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_fun2512541629346179229l_bool (tptp.aTP_Lamm_ez Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uub) Uu2)) (not (= (tptp.aa_bool_real Uua Uub) tptp.zero_zero_real))))))
% 16.06/16.31 (assume a10568 (forall ((Uu2 tptp.set_bool) (Uua tptp.fun_bool_rat) (Uub tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_fun4510340986217973961l_bool (tptp.aTP_Lamm_fj Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uub) Uu2)) (not (= (tptp.aa_bool_rat Uua Uub) tptp.zero_zero_rat))))))
% 16.06/16.31 (assume a10569 (forall ((Uu2 tptp.set_nat) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun1349230436907296553t_bool (tptp.aTP_Lamm_fd Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu2)) (not (= (tptp.aa_nat_real Uua Uub) tptp.zero_zero_real))))))
% 16.06/16.31 (assume a10570 (forall ((Uu2 tptp.set_nat) (Uua tptp.fun_nat_rat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun5637262893798792573t_bool (tptp.aTP_Lamm_fn Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu2)) (not (= (tptp.aa_nat_rat Uua Uub) tptp.zero_zero_rat))))))
% 16.06/16.31 (assume a10571 (forall ((Uu2 tptp.set_int) (Uua tptp.fun_int_real) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun1262781554902806129t_bool (tptp.aTP_Lamm_fb Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu2)) (not (= (tptp.aa_int_real Uua Uub) tptp.zero_zero_real))))))
% 16.06/16.31 (assume a10572 (forall ((Uu2 tptp.set_int) (Uua tptp.fun_int_rat) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun258058769140594373t_bool (tptp.aTP_Lamm_fl Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu2)) (not (= (tptp.aa_int_rat Uua Uub) tptp.zero_zero_rat))))))
% 16.06/16.31 (assume a10573 (forall ((Uu2 tptp.set_Pr1261947904930325089at_nat) (Uua tptp.set_Pr1261947904930325089at_nat) (Uub tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_set5223363028666124222t_bool (tptp.aTP_Lamm_av Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Uub) Uu2)) (not (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat Uub) Uua)))))))
% 16.06/16.31 (assume a10574 (forall ((Uu2 tptp.set_complex) (Uua tptp.set_complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_set3741564773079358752x_bool (tptp.aTP_Lamm_au Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uu2)) (not (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uub) Uua)))))))
% 16.06/16.31 (assume a10575 (forall ((Uu2 tptp.set_real) (Uua tptp.set_real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_ar Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uu2)) (not (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uub) Uua)))))))
% 16.06/16.31 (assume a10576 (forall ((Uu2 tptp.set_list_nat) (Uua tptp.set_list_nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_set257547205302447420t_bool (tptp.aTP_Lamm_ax Uu2) Uua) Uub)) (and (tptp.member_list_nat Uub Uu2) (not (tptp.member_list_nat Uub Uua))))))
% 16.06/16.31 (assume a10577 (forall ((Uu2 tptp.set_bool) (Uua tptp.set_bool) (Uub tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_set6670506438128111678l_bool (tptp.aTP_Lamm_as Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uub) Uu2)) (not (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uub) Uua)))))))
% 16.06/16.31 (assume a10578 (forall ((Uu2 tptp.set_set_nat) (Uua tptp.set_set_nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_set9121396911425987952t_bool (tptp.aTP_Lamm_aw Uu2) Uua) Uub)) (and (tptp.member_set_nat Uub Uu2) (not (tptp.member_set_nat Uub Uua))))))
% 16.06/16.31 (assume a10579 (forall ((Uu2 tptp.set_nat) (Uua tptp.set_nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_ay Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uu2)) (not (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uub) Uua)))))))
% 16.06/16.31 (assume a10580 (forall ((Uu2 tptp.set_int) (Uua tptp.set_int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_at Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uu2)) (not (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uub) Uua)))))))
% 16.06/16.31 (assume a10581 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_yu Uu2) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uub) Uu2)) Uua)))))
% 16.06/16.31 (assume a10582 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_rz Uu2) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)) Uu2)))))
% 16.06/16.31 (assume a10583 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ss Uu2) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)) Uu2)))))
% 16.06/16.31 (assume a10584 (forall ((Uu2 tptp.set_Pr4329608150637261639at_nat) (Uua tptp.set_Pr1261947904930325089at_nat) (Uub tptp.set_Pr1261947904930325089at_nat)) (= (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.aa_set7594618562247239262t_bool (tptp.aTP_Lamm_bd Uu2) Uua) Uub)) (tptp.pp (tptp.aa_set4148026973699692364t_bool (tptp.member8757157785044589968at_nat (tptp.produc2922128104949294807at_nat Uua Uub)) Uu2)))))
% 16.06/16.31 (assume a10585 (forall ((Uu2 tptp.set_Pr8218934625190621173um_num) (Uua tptp.num) (Uub tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool (tptp.aTP_Lamm_az Uu2) Uua) Uub)) (tptp.member7279096912039735102um_num (tptp.product_Pair_num_num Uua Uub) Uu2))))
% 16.06/16.31 (assume a10586 (forall ((Uu2 tptp.set_Pr6200539531224447659at_num) (Uua tptp.nat) (Uub tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_nat_fun_num_bool (tptp.aTP_Lamm_ba Uu2) Uua) Uub)) (tptp.member9148766508732265716at_num (tptp.product_Pair_nat_num Uua Uub) Uu2))))
% 16.06/16.31 (assume a10587 (forall ((Uu2 tptp.set_Pr1261947904930325089at_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_bb Uu2) Uua) Uub)) (tptp.pp (tptp.aa_set3135850010578026034t_bool (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uua) Uub)) Uu2)))))
% 16.06/16.31 (assume a10588 (forall ((Uu2 tptp.set_Pr958786334691620121nt_int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_bc Uu2) Uua) Uub)) (tptp.member5262025264175285858nt_int (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Uua) Uub) Uu2))))
% 16.06/16.31 (assume a10589 (forall ((Uu2 tptp.nat) (Uua tptp.complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_ew Uu2) Uua) Uub)) (= (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uu2) Uua))))
% 16.06/16.31 (assume a10590 (forall ((Uu2 tptp.complex) (Uua tptp.nat) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_vp Uu2) Uua) Uub)) (= (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uua) Uu2))))
% 16.06/16.31 (assume a10591 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iv Uu2) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu2 (tptp.aa_nat_nat tptp.suc Uub))) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uub)))))
% 16.06/16.31 (assume a10592 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_iw Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat tptp.suc Uub))) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub)))))
% 16.06/16.31 (assume a10593 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_int) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun4551936527957760560t_real (tptp.aTP_Lamm_ya Uu2) Uua) Uub) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_nat_int Uua Uub))) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))))))
% 16.06/16.31 (assume a10594 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xm Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real (tptp.power_power_real Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 16.06/16.31 (assume a10595 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_iq Uu2) Uua) Uub) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu2 Uub)) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uub)))))
% 16.06/16.31 (assume a10596 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_io Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub)))))
% 16.06/16.31 (assume a10597 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.rat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_sm Uu2) Uua) Uub) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat Uu2 Uub)) (tptp.aa_nat_rat (tptp.power_power_rat Uua) Uub)))))
% 16.06/16.31 (assume a10598 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_tq Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu2 Uub)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uua) Uub)))))
% 16.06/16.31 (assume a10599 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_sn Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu2 Uub)) (tptp.aa_nat_int (tptp.power_power_int Uua) Uub)))))
% 16.06/16.31 (assume a10600 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_vq Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu2 Uub)) (tptp.aa_nat_nat Uua Uub)))))
% 16.06/16.31 (assume a10601 (forall ((Uu2 tptp.fun_co8153928105989009288nteger) (Uua tptp.fun_co8153928105989009288nteger) (Uub tptp.complex)) (= (tptp.aa_com4217951221296830281nteger (tptp.aa_fun5267417455630836558nteger (tptp.aTP_Lamm_lk Uu2) Uua) Uub) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_com4217951221296830281nteger Uua Uub)) (tptp.aa_com4217951221296830281nteger Uu2 Uub)))))
% 16.06/16.31 (assume a10602 (forall ((Uu2 tptp.fun_complex_real) (Uua tptp.fun_complex_real) (Uub tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun8933909628229591020x_real (tptp.aTP_Lamm_lp Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real Uua Uub)) (tptp.aa_complex_real Uu2 Uub)))))
% 16.06/16.31 (assume a10603 (forall ((Uu2 tptp.fun_complex_rat) (Uua tptp.fun_complex_rat) (Uub tptp.complex)) (= (tptp.aa_complex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aTP_Lamm_lt Uu2) Uua) Uub) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_complex_rat Uua Uub)) (tptp.aa_complex_rat Uu2 Uub)))))
% 16.06/16.31 (assume a10604 (forall ((Uu2 tptp.fun_re6978948838062957830nteger) (Uua tptp.fun_re6978948838062957830nteger) (Uub tptp.real)) (= (tptp.aa_real_Code_integer (tptp.aa_fun7923231501384339402nteger (tptp.aTP_Lamm_ll Uu2) Uua) Uub) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_real_Code_integer Uua Uub)) (tptp.aa_real_Code_integer Uu2 Uub)))))
% 16.06/16.31 (assume a10605 (forall ((Uu2 tptp.fun_real_real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_lq Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real Uua Uub)) (tptp.aa_real_real Uu2 Uub)))))
% 16.06/16.31 (assume a10606 (forall ((Uu2 tptp.fun_bo7282069421189217543nteger) (Uua tptp.fun_bo7282069421189217543nteger) (Uub tptp.bool)) (= (tptp.aa_bool_Code_integer (tptp.aa_fun1377107737837666940nteger (tptp.aTP_Lamm_lm Uu2) Uua) Uub) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_bool_Code_integer Uua Uub)) (tptp.aa_bool_Code_integer Uu2 Uub)))))
% 16.06/16.31 (assume a10607 (forall ((Uu2 tptp.fun_bool_real) (Uua tptp.fun_bool_real) (Uub tptp.bool)) (= (tptp.aa_bool_real (tptp.aa_fun8933258245593490108l_real (tptp.aTP_Lamm_lr Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_bool_real Uua Uub)) (tptp.aa_bool_real Uu2 Uub)))))
% 16.06/16.31 (assume a10608 (forall ((Uu2 tptp.fun_nat_Code_integer) (Uua tptp.fun_nat_Code_integer) (Uub tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_fun589076786913273746nteger (tptp.aTP_Lamm_ln Uu2) Uua) Uub) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_nat_Code_integer Uua Uub)) (tptp.aa_nat_Code_integer Uu2 Uub)))))
% 16.06/16.31 (assume a10609 (forall ((Uu2 tptp.fun_int_Code_integer) (Uua tptp.fun_int_Code_integer) (Uub tptp.int)) (= (tptp.aa_int_Code_integer (tptp.aa_fun5304498221708291146nteger (tptp.aTP_Lamm_lo Uu2) Uua) Uub) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_int_Code_integer Uua Uub)) (tptp.aa_int_Code_integer Uu2 Uub)))))
% 16.06/16.31 (assume a10610 (forall ((Uu2 tptp.fun_int_real) (Uua tptp.fun_int_real) (Uub tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun3252798400008884712t_real (tptp.aTP_Lamm_ls Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_int_real Uua Uub)) (tptp.aa_int_real Uu2 Uub)))))
% 16.06/16.31 (assume a10611 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_xq Uu2) Uua) Uub) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real Uua Uub)))))
% 16.06/16.31 (assume a10612 (forall ((Uu2 tptp.fun_complex_nat) (Uua tptp.fun_complex_nat) (Uub tptp.complex)) (= (tptp.aa_complex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aTP_Lamm_mx Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_complex_nat Uua Uub)) (tptp.aa_complex_nat Uu2 Uub)))))
% 16.06/16.31 (assume a10613 (forall ((Uu2 tptp.fun_real_nat) (Uua tptp.fun_real_nat) (Uub tptp.real)) (= (tptp.aa_real_nat (tptp.aa_fun211602392931233840al_nat (tptp.aTP_Lamm_mv Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_real_nat Uua Uub)) (tptp.aa_real_nat Uu2 Uub)))))
% 16.06/16.31 (assume a10614 (forall ((Uu2 tptp.fun_bool_nat) (Uua tptp.fun_bool_nat) (Uub tptp.bool)) (= (tptp.aa_bool_nat (tptp.aa_fun9101744387563128124ol_nat (tptp.aTP_Lamm_my Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_bool_nat Uua Uub)) (tptp.aa_bool_nat Uu2 Uub)))))
% 16.06/16.31 (assume a10615 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_nh Uu2) Uua) Uub) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real Uua Uub)) (tptp.aa_nat_real Uu2 Uub)))))
% 16.06/16.31 (assume a10616 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_mw Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat Uua Uub)) (tptp.aa_nat_nat Uu2 Uub)))))
% 16.06/16.31 (assume a10617 (forall ((Uu2 tptp.fun_int_nat) (Uua tptp.fun_int_nat) (Uub tptp.int)) (= (tptp.aa_int_nat (tptp.aa_fun6506752150744536624nt_nat (tptp.aTP_Lamm_mz Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_int_nat Uua Uub)) (tptp.aa_int_nat Uu2 Uub)))))
% 16.06/16.31 (assume a10618 (forall ((Uu2 tptp.fun_complex_complex) (Uua tptp.fun_complex_complex) (Uub tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun3187328805393345264omplex (tptp.aTP_Lamm_im Uu2) Uua) Uub) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex Uu2 Uub)) (tptp.aa_complex_complex Uua Uub)))))
% 16.06/16.31 (assume a10619 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ii Uu2) Uua) Uub) (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real Uua Uub)))))
% 16.06/16.31 (assume a10620 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_ij Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat Uu2 Uub)) (tptp.aa_nat_nat Uua Uub)))))
% 16.06/16.31 (assume a10621 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.fun_nat_int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_ik Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int Uu2 Uub)) (tptp.aa_nat_int Uua Uub)))))
% 16.06/16.31 (assume a10622 (forall ((Uu2 tptp.fun_int_int) (Uua tptp.fun_int_int) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun6280345759651049192nt_int (tptp.aTP_Lamm_in Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int Uu2 Uub)) (tptp.aa_int_int Uua Uub)))))
% 16.06/16.31 (assume a10623 (forall ((Uu2 tptp.fun_Pr1607443439640623155t_bool) (Uua tptp.fun_Pr1607443439640623155t_bool) (Uub tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.aa_fun5022828243006652836t_bool (tptp.aTP_Lamm_gt Uu2) Uua) Uub)) (=> (tptp.pp (tptp.aa_Pro1809015098595223084t_bool Uu2 Uub)) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool Uua Uub))))))
% 16.06/16.31 (assume a10624 (forall ((Uu2 tptp.fun_Pr7757163693017731481t_bool) (Uua tptp.fun_Pr7757163693017731481t_bool) (Uub tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_fun830836278467416944t_bool (tptp.aTP_Lamm_gp Uu2) Uua) Uub)) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uu2 Uub)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uua Uub))))))
% 16.06/16.31 (assume a10625 (forall ((Uu2 tptp.fun_complex_bool) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_go Uu2) Uua) Uub)) (=> (tptp.pp (tptp.aa_complex_bool Uu2 Uub)) (tptp.pp (tptp.aa_complex_bool Uua Uub))))))
% 16.06/16.31 (assume a10626 (forall ((Uu2 tptp.fun_list_nat_bool) (Uua tptp.fun_list_nat_bool) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_gr Uu2) Uua) Uub)) (=> (tptp.pp (tptp.aa_list_nat_bool Uu2 Uub)) (tptp.pp (tptp.aa_list_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10627 (forall ((Uu2 tptp.fun_set_nat_bool) (Uua tptp.fun_set_nat_bool) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_gq Uu2) Uua) Uub)) (=> (tptp.pp (tptp.aa_set_nat_bool Uu2 Uub)) (tptp.pp (tptp.aa_set_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10628 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_gs Uu2) Uua) Uub)) (=> (tptp.pp (tptp.aa_nat_bool Uu2 Uub)) (tptp.pp (tptp.aa_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10629 (forall ((Uu2 tptp.fun_Pr1607443439640623155t_bool) (Uua tptp.fun_Pr1607443439640623155t_bool) (Uub tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.aa_fun5022828243006652836t_bool (tptp.aTP_Lamm_bt Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_Pro1809015098595223084t_bool Uu2 Uub)) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool Uua Uub))))))
% 16.06/16.31 (assume a10630 (forall ((Uu2 tptp.fun_Pr7757163693017731481t_bool) (Uua tptp.fun_Pr7757163693017731481t_bool) (Uub tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_fun830836278467416944t_bool (tptp.aTP_Lamm_bp Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uu2 Uub)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uua Uub))))))
% 16.06/16.31 (assume a10631 (forall ((Uu2 tptp.fun_complex_bool) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_bo Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_complex_bool Uu2 Uub)) (tptp.pp (tptp.aa_complex_bool Uua Uub))))))
% 16.06/16.31 (assume a10632 (forall ((Uu2 tptp.fun_list_nat_bool) (Uua tptp.fun_list_nat_bool) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_br Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_list_nat_bool Uu2 Uub)) (tptp.pp (tptp.aa_list_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10633 (forall ((Uu2 tptp.fun_set_nat_bool) (Uua tptp.fun_set_nat_bool) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_bq Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_set_nat_bool Uu2 Uub)) (tptp.pp (tptp.aa_set_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10634 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_bs Uu2) Uua) Uub)) (or (tptp.pp (tptp.aa_nat_bool Uu2 Uub)) (tptp.pp (tptp.aa_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10635 (forall ((Uu2 tptp.fun_Pr7757163693017731481t_bool) (Uua tptp.fun_Pr7757163693017731481t_bool) (Uub tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_fun830836278467416944t_bool (tptp.aTP_Lamm_du Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uu2 Uub)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uua Uub))))))
% 16.06/16.31 (assume a10636 (forall ((Uu2 tptp.fun_complex_bool) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_dq Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_complex_bool Uu2 Uub)) (tptp.pp (tptp.aa_complex_bool Uua Uub))))))
% 16.06/16.31 (assume a10637 (forall ((Uu2 tptp.fun_list_nat_bool) (Uua tptp.fun_list_nat_bool) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_ds Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_list_nat_bool Uu2 Uub)) (tptp.pp (tptp.aa_list_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10638 (forall ((Uu2 tptp.fun_set_nat_bool) (Uua tptp.fun_set_nat_bool) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_dr Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_set_nat_bool Uu2 Uub)) (tptp.pp (tptp.aa_set_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10639 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_dt Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_nat_bool Uu2 Uub)) (tptp.pp (tptp.aa_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10640 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ed Uu2) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat Uu2 Uub)) Uua)))))
% 16.06/16.31 (assume a10641 (forall ((Uu2 tptp.fun_co8153928105989009288nteger) (Uua tptp.code_integer) (Uub tptp.complex)) (= (tptp.aa_com4217951221296830281nteger (tptp.aa_Cod1660996421839551523nteger (tptp.aTP_Lamm_jv Uu2) Uua) Uub) (tptp.divide6298287555418463151nteger (tptp.aa_com4217951221296830281nteger Uu2 Uub) Uua))))
% 16.06/16.31 (assume a10642 (forall ((Uu2 tptp.fun_complex_nat) (Uua tptp.nat) (Uub tptp.complex)) (= (tptp.aa_complex_nat (tptp.aa_nat3391284541783913865ex_nat (tptp.aTP_Lamm_kb Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_complex_nat Uu2 Uub)) Uua))))
% 16.06/16.31 (assume a10643 (forall ((Uu2 tptp.fun_complex_int) (Uua tptp.int) (Uub tptp.complex)) (= (tptp.aa_complex_int (tptp.aa_int6126987627036542017ex_int (tptp.aTP_Lamm_ke Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_complex_int Uu2 Uub)) Uua))))
% 16.06/16.31 (assume a10644 (forall ((Uu2 tptp.fun_li3231056112175589690nteger) (Uua tptp.code_integer) (Uub tptp.list_nat)) (= (tptp.aa_lis9097500579518594299nteger (tptp.aa_Cod1658353545975407189nteger (tptp.aTP_Lamm_kt Uu2) Uua) Uub) (tptp.divide6298287555418463151nteger (tptp.aa_lis9097500579518594299nteger Uu2 Uub) Uua))))
% 16.06/16.31 (assume a10645 (forall ((Uu2 tptp.fun_se7586849273513198688nteger) (Uua tptp.code_integer) (Uub tptp.set_nat)) (= (tptp.aa_set871585252387937313nteger (tptp.aa_Cod3249490220333259515nteger (tptp.aTP_Lamm_kq Uu2) Uua) Uub) (tptp.divide6298287555418463151nteger (tptp.aa_set871585252387937313nteger Uu2 Uub) Uua))))
% 16.06/16.31 (assume a10646 (forall ((Uu2 tptp.fun_set_nat_nat) (Uua tptp.nat) (Uub tptp.set_nat)) (= (tptp.aa_set_nat_nat (tptp.aa_nat6910189468943142497at_nat (tptp.aTP_Lamm_kw Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_set_nat_nat Uu2 Uub)) Uua))))
% 16.06/16.31 (assume a10647 (forall ((Uu2 tptp.fun_nat_Code_integer) (Uua tptp.code_integer) (Uub tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_Cod1578151519121547077nteger (tptp.aTP_Lamm_jy Uu2) Uua) Uub) (tptp.divide6298287555418463151nteger (tptp.aa_nat_Code_integer Uu2 Uub) Uua))))
% 16.06/16.31 (assume a10648 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_kk Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat Uu2 Uub)) Uua))))
% 16.06/16.31 (assume a10649 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_kh Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int Uu2 Uub)) Uua))))
% 16.06/16.31 (assume a10650 (forall ((Uu2 tptp.fun_int_int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.aTP_Lamm_kn Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int Uu2 Uub)) Uua))))
% 16.06/16.31 (assume a10651 (forall ((Uu2 tptp.fun_real_real) (Uua tptp.nat) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_xc Uu2) Uua) Uub) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real Uu2 Uub)) Uua))))
% 16.06/16.31 (assume a10652 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_qc Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat Uu2 Uub)) Uua))))
% 16.06/16.31 (assume a10653 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_qd Uu2) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int Uu2 Uub)) Uua))))
% 16.06/16.31 (assume a10654 (forall ((Uu2 tptp.fun_int_int) (Uua tptp.nat) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_qe Uu2) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int Uu2 Uub)) Uua))))
% 16.06/16.31 (assume a10655 (forall ((Uu2 tptp.nat) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_yf Uu2) Uua) Uub) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real Uua Uub)) Uu2))))
% 16.06/16.31 (assume a10656 (forall ((Uu2 tptp.produc3843707927480180839at_nat) (Uua tptp.fun_Pr1607443439640623155t_bool) (Uub tptp.produc3843707927480180839at_nat)) (= (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.aa_fun5022828243006652836t_bool (tptp.aTP_Lamm_cl Uu2) Uua) Uub)) (=> (not (= Uub Uu2)) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool Uua Uub))))))
% 16.06/16.31 (assume a10657 (forall ((Uu2 tptp.product_prod_nat_nat) (Uua tptp.fun_Pr7757163693017731481t_bool) (Uub tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_fun830836278467416944t_bool (tptp.aTP_Lamm_co Uu2) Uua) Uub)) (=> (not (= Uub Uu2)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uua Uub))))))
% 16.06/16.31 (assume a10658 (forall ((Uu2 tptp.complex) (Uua tptp.fun_complex_bool) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun1096865461735438652x_bool (tptp.aTP_Lamm_cn Uu2) Uua) Uub)) (=> (not (= Uub Uu2)) (tptp.pp (tptp.aa_complex_bool Uua Uub))))))
% 16.06/16.31 (assume a10659 (forall ((Uu2 tptp.list_nat) (Uua tptp.fun_list_nat_bool) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_fun6009467934925565500t_bool (tptp.aTP_Lamm_cq Uu2) Uua) Uub)) (=> (not (= Uub Uu2)) (tptp.pp (tptp.aa_list_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10660 (forall ((Uu2 tptp.bool) (Uua tptp.fun_bool_bool) (Uub tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_fun8098540714523660868l_bool (tptp.aTP_Lamm_ck Uu2) Uua) Uub)) (=> (not (= (tptp.pp Uub) (tptp.pp Uu2))) (tptp.pp (tptp.aa_bool_bool Uua Uub))))))
% 16.06/16.31 (assume a10661 (forall ((Uu2 tptp.set_nat) (Uua tptp.fun_set_nat_bool) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_fun3565389549526402364t_bool (tptp.aTP_Lamm_cp Uu2) Uua) Uub)) (=> (not (= Uub Uu2)) (tptp.pp (tptp.aa_set_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10662 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_bool) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun3878383735219268284t_bool (tptp.aTP_Lamm_cm Uu2) Uua) Uub)) (=> (not (= Uub Uu2)) (tptp.pp (tptp.aa_nat_bool Uua Uub))))))
% 16.06/16.31 (assume a10663 (forall ((Uu2 tptp.int) (Uua tptp.fun_int_bool) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun5146555767781538748t_bool (tptp.aTP_Lamm_cj Uu2) Uua) Uub)) (=> (not (= Uub Uu2)) (tptp.pp (tptp.aa_int_bool Uua Uub))))))
% 16.06/16.31 (assume a10664 (forall ((Uu2 tptp.real) (Uua tptp.fun_nat_complex) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun7054779078796324018t_real (tptp.aTP_Lamm_lu Uu2) Uua) Uub) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex Uua Uub))) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uub)))))
% 16.06/16.31 (assume a10665 (forall ((Uu2 tptp.complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_mh Uu2) Uua) Uub) (tptp.aa_complex_complex (tptp.plus_plus_complex Uu2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uub)) Uua)))))
% 16.06/16.31 (assume a10666 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ml Uu2) Uua) Uub) (tptp.aa_real_real (tptp.plus_plus_real Uu2) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uub)) Uua)))))
% 16.06/16.31 (assume a10667 (forall ((Uu2 tptp.rat) (Uua tptp.rat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aTP_Lamm_mi Uu2) Uua) Uub) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uub)) Uua)))))
% 16.06/16.31 (assume a10668 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_mk Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uub)) Uua)))))
% 16.06/16.31 (assume a10669 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_mj Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uub)) Uua)))))
% 16.06/16.31 (assume a10670 (forall ((Uu2 tptp.complex) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_od Uu2) Uua) Uub) (tptp.aa_nat_complex (tptp.power_power_complex Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 16.06/16.31 (assume a10671 (forall ((Uu2 tptp.real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_og Uu2) Uua) Uub) (tptp.aa_nat_real (tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 16.06/16.31 (assume a10672 (forall ((Uu2 tptp.rat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_oe Uu2) Uua) Uub) (tptp.aa_nat_rat (tptp.power_power_rat Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 16.06/16.31 (assume a10673 (forall ((Uu2 tptp.int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_of Uu2) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 16.06/16.31 (assume a10674 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xu Uu2) Uua) Uub) (tptp.aa_real_real (tptp.divide_divide_real Uua) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uub)))))
% 16.06/16.31 (assume a10675 (forall ((Uu2 tptp.complex) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_ja Uu2) Uua) Uub) (tptp.aa_nat_complex (tptp.power_power_complex Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)))))
% 16.06/16.31 (assume a10676 (forall ((Uu2 tptp.real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_jd Uu2) Uua) Uub) (tptp.aa_nat_real (tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)))))
% 16.06/16.31 (assume a10677 (forall ((Uu2 tptp.rat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_jb Uu2) Uua) Uub) (tptp.aa_nat_rat (tptp.power_power_rat Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)))))
% 16.06/16.31 (assume a10678 (forall ((Uu2 tptp.int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_jc Uu2) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)))))
% 16.06/16.31 (assume a10679 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_mm Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uub) Uua)))))
% 16.06/16.31 (assume a10680 (forall ((Uu2 tptp.complex) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun1958354139826840918omplex (tptp.aTP_Lamm_qp Uu2) Uua) Uub) (tptp.aa_nat_complex (tptp.power_power_complex Uu2) (tptp.aa_nat_nat Uua Uub)))))
% 16.06/16.31 (assume a10681 (forall ((Uu2 tptp.real) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1538629612289296340t_real (tptp.aTP_Lamm_qo Uu2) Uua) Uub) (tptp.aa_nat_real (tptp.power_power_real Uu2) (tptp.aa_nat_nat Uua Uub)))))
% 16.06/16.31 (assume a10682 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_qq Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uu2) (tptp.aa_nat_nat Uua Uub)))))
% 16.06/16.31 (assume a10683 (forall ((Uu2 tptp.int) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun1613598493704395220at_int (tptp.aTP_Lamm_qr Uu2) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int Uu2) (tptp.aa_nat_nat Uua Uub)))))
% 16.06/16.31 (assume a10684 (forall ((Uu2 tptp.int) (Uua tptp.fun_int_nat) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun2328901131235339916nt_int (tptp.aTP_Lamm_qs Uu2) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int Uu2) (tptp.aa_int_nat Uua Uub)))))
% 16.06/16.31 (assume a10685 (forall ((Uu2 tptp.fun_co8153928105989009288nteger) (Uua tptp.code_integer) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_Cod6819470024986797159x_bool (tptp.aTP_Lamm_jw Uu2) Uua) Uub)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer Uua) (tptp.aa_com4217951221296830281nteger Uu2 Uub))))))
% 16.06/16.31 (assume a10686 (forall ((Uu2 tptp.fun_complex_nat) (Uua tptp.nat) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_kc Uu2) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Uua) (tptp.aa_complex_nat Uu2 Uub))))))
% 16.06/16.31 (assume a10687 (forall ((Uu2 tptp.fun_complex_int) (Uua tptp.int) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_int5354780257279585880x_bool (tptp.aTP_Lamm_kf Uu2) Uua) Uub)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Uua) (tptp.aa_complex_int Uu2 Uub))))))
% 16.06/16.31 (assume a10688 (forall ((Uu2 tptp.fun_li3231056112175589690nteger) (Uua tptp.code_integer) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_Cod4030550284336906933t_bool (tptp.aTP_Lamm_ku Uu2) Uua) Uub)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer Uua) (tptp.aa_lis9097500579518594299nteger Uu2 Uub))))))
% 16.06/16.31 (assume a10689 (forall ((Uu2 tptp.fun_se7586849273513198688nteger) (Uua tptp.code_integer) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_Cod764135534001036175t_bool (tptp.aTP_Lamm_kr Uu2) Uua) Uub)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer Uua) (tptp.aa_set871585252387937313nteger Uu2 Uub))))))
% 16.06/16.31 (assume a10690 (forall ((Uu2 tptp.fun_set_nat_nat) (Uua tptp.nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_nat8857836526276733660t_bool (tptp.aTP_Lamm_kx Uu2) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Uua) (tptp.aa_set_nat_nat Uu2 Uub))))))
% 16.06/16.31 (assume a10691 (forall ((Uu2 tptp.fun_nat_Code_integer) (Uua tptp.code_integer) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_Cod2498268374540730821t_bool (tptp.aTP_Lamm_jz Uu2) Uua) Uub)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer Uua) (tptp.aa_nat_Code_integer Uu2 Uub))))))
% 16.06/16.31 (assume a10692 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_kl Uu2) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Uua) (tptp.aa_nat_nat Uu2 Uub))))))
% 16.06/16.31 (assume a10693 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool (tptp.aTP_Lamm_ki Uu2) Uua) Uub)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Uua) (tptp.aa_nat_int Uu2 Uub))))))
% 16.06/16.31 (assume a10694 (forall ((Uu2 tptp.fun_int_int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_ko Uu2) Uua) Uub)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Uua) (tptp.aa_int_int Uu2 Uub))))))
% 16.06/16.31 (assume a10695 (forall ((Uu2 tptp.real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_sp Uu2) Uua) Uub) (tptp.aa_real_real (tptp.plus_plus_real Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 16.06/16.31 (assume a10696 (forall ((Uu2 tptp.rat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_so Uu2) Uua) Uub) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 16.06/16.31 (assume a10697 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_sq Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 16.06/16.31 (assume a10698 (forall ((Uu2 tptp.int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_sr Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 16.06/16.31 (assume a10699 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.product_unit)) (= (tptp.aa_Product_unit_real (tptp.aa_rea7683167438103758690t_real (tptp.aTP_Lamm_zu Uu2) Uua) Uub) (tptp.aa_real_real (tptp.powr_real2 Uu2) Uua))))
% 16.06/16.31 (assume a10700 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_nc Uu2) Uua) Uub) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 16.06/16.31 (assume a10701 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_nb Uu2) Uua) Uub) (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 16.06/16.31 (assume a10702 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_qy Uu2) Uua) Uub) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 16.06/16.31 (assume a10703 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_lj Uu2) Uua) Uub) (tptp.aa_nat_complex Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 16.06/16.31 (assume a10704 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ib Uu2) Uua) Uub) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 16.06/16.31 (assume a10705 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_yt Uu2) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua))))))
% 16.06/16.31 (assume a10706 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_it Uu2) Uua) Uub) (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 16.06/16.31 (assume a10707 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_qt Uu2) Uua) Uub) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 16.06/16.31 (assume a10708 (forall ((Uu2 tptp.fun_Pr7757163693017731481t_bool) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_gj Uu2) Uua) Uub)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool Uu2 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uua) Uub))))))
% 16.06/16.31 (assume a10709 (forall ((Uu2 tptp.fun_Pr2602117396471556196at_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_gk Uu2) Uua) Uub) (tptp.aa_Pro4243173770044397973at_nat Uu2 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uua) Uub)))))
% 16.06/16.31 (assume a10710 (forall ((Uu2 tptp.fun_Pr2477239776880934807at_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat (tptp.aTP_Lamm_gl Uu2) Uua) Uub) (tptp.aa_Pro8023792847356852296at_nat Uu2 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uua) Uub)))))
% 16.06/16.31 (assume a10711 (forall ((Uu2 tptp.fun_Pr248683899324676269t_bool) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool (tptp.aTP_Lamm_gm Uu2) Uua) Uub) (tptp.aa_Pro595088089689268830t_bool Uu2 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Uua) Uub)))))
% 16.06/16.31 (assume a10712 (forall ((Uu2 tptp.fun_Pr2478283820680522243nt_int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_gn Uu2) Uua) Uub) (tptp.aa_Pro6970504127699319548nt_int Uu2 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int Uua) Uub)))))
% 16.06/16.31 (assume a10713 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_na Uu2) Uua) Uub) (tptp.aa_nat_real Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uu2)))))
% 16.06/16.31 (assume a10714 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_com20334259897932645t_real (tptp.aTP_Lamm_ir Uu2) Uua) Uub) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu2 Uub)) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uub))))))
% 16.06/16.31 (assume a10715 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ip Uu2) Uua) Uub) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real (tptp.power_power_real Uua) Uub))))))
% 16.06/16.31 (assume a10716 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_xz Uu2) Uua) Uub) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real Uu2 Uub)) Uua)))))
% 16.06/16.31 (assume a10717 (forall ((Uu2 tptp.fun_co8153928105989009288nteger) (Uua tptp.code_integer) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_Cod6819470024986797159x_bool (tptp.aTP_Lamm_jx Uu2) Uua) Uub)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer Uua) (tptp.aa_com4217951221296830281nteger Uu2 Uub)))))))
% 16.06/16.31 (assume a10718 (forall ((Uu2 tptp.fun_complex_nat) (Uua tptp.nat) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_kd Uu2) Uua) Uub)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Uua) (tptp.aa_complex_nat Uu2 Uub)))))))
% 16.06/16.31 (assume a10719 (forall ((Uu2 tptp.fun_complex_int) (Uua tptp.int) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_int5354780257279585880x_bool (tptp.aTP_Lamm_kg Uu2) Uua) Uub)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Uua) (tptp.aa_complex_int Uu2 Uub)))))))
% 16.06/16.31 (assume a10720 (forall ((Uu2 tptp.fun_li3231056112175589690nteger) (Uua tptp.code_integer) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_Cod4030550284336906933t_bool (tptp.aTP_Lamm_kv Uu2) Uua) Uub)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer Uua) (tptp.aa_lis9097500579518594299nteger Uu2 Uub)))))))
% 16.06/16.31 (assume a10721 (forall ((Uu2 tptp.fun_se7586849273513198688nteger) (Uua tptp.code_integer) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_Cod764135534001036175t_bool (tptp.aTP_Lamm_ks Uu2) Uua) Uub)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer Uua) (tptp.aa_set871585252387937313nteger Uu2 Uub)))))))
% 16.06/16.31 (assume a10722 (forall ((Uu2 tptp.fun_set_nat_nat) (Uua tptp.nat) (Uub tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool (tptp.aa_nat8857836526276733660t_bool (tptp.aTP_Lamm_ky Uu2) Uua) Uub)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Uua) (tptp.aa_set_nat_nat Uu2 Uub)))))))
% 16.06/16.31 (assume a10723 (forall ((Uu2 tptp.fun_nat_Code_integer) (Uua tptp.code_integer) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_Cod2498268374540730821t_bool (tptp.aTP_Lamm_ka Uu2) Uua) Uub)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer Uua) (tptp.aa_nat_Code_integer Uu2 Uub)))))))
% 16.06/16.31 (assume a10724 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_km Uu2) Uua) Uub)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Uua) (tptp.aa_nat_nat Uu2 Uub)))))))
% 16.06/16.31 (assume a10725 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_int_fun_nat_bool (tptp.aTP_Lamm_kj Uu2) Uua) Uub)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Uua) (tptp.aa_nat_int Uu2 Uub)))))))
% 16.06/16.31 (assume a10726 (forall ((Uu2 tptp.fun_int_int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_kp Uu2) Uua) Uub)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Uua) (tptp.aa_int_int Uu2 Uub)))))))
% 16.06/16.31 (assume a10727 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_uc Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2) (tptp.aa_nat_real Uua Uuc)) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2) tptp.zero_zero_real) (tptp.aa_nat_real Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 16.06/16.31 (assume a10728 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_rat) (Uub tptp.fun_nat_rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_tz Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2)) (tptp.aa_nat_rat Uua Uuc)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2)) tptp.zero_zero_rat) (tptp.aa_nat_rat Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 16.06/16.31 (assume a10729 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_nat) (Uub tptp.fun_nat_nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_ub Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2)) (tptp.aa_nat_nat Uua Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2)) tptp.zero_zero_nat) (tptp.aa_nat_nat Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 16.06/16.31 (assume a10730 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_int) (Uub tptp.fun_nat_int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_ua Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2)) (tptp.aa_nat_int Uua Uuc)) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2)) tptp.zero_zero_int) (tptp.aa_nat_int Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 16.06/16.31 (assume a10731 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.fun_nat_complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_ra Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2) (tptp.aa_nat_complex Uua Uuc)) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2) tptp.one_one_complex) (tptp.aa_nat_complex Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 16.06/16.31 (assume a10732 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_rc Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2) (tptp.aa_nat_real Uua Uuc)) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2) tptp.one_one_real) (tptp.aa_nat_real Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 16.06/16.31 (assume a10733 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_rat) (Uub tptp.fun_nat_rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_re Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2)) (tptp.aa_nat_rat Uua Uuc)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2)) tptp.one_one_rat) (tptp.aa_nat_rat Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 16.06/16.31 (assume a10734 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_nat) (Uub tptp.fun_nat_nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_rg Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2)) (tptp.aa_nat_nat Uua Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2)) tptp.one_one_nat) (tptp.aa_nat_nat Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 16.06/16.31 (assume a10735 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_int) (Uub tptp.fun_nat_int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_ri Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2)) (tptp.aa_nat_int Uua Uuc)) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2)) tptp.one_one_int) (tptp.aa_nat_int Uub (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uuc) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 16.06/16.31 (assume a10736 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.fun_nat_complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_fun2955221450537884980omplex (tptp.aa_fun7497765718855568684omplex (tptp.aTP_Lamm_rb Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2) (tptp.aa_nat_complex Uua Uuc)) (tptp.aa_nat_complex Uub Uuc)))))
% 16.06/16.31 (assume a10737 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_rd Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2) (tptp.aa_nat_real Uua Uuc)) (tptp.aa_nat_real Uub Uuc)))))
% 16.06/16.31 (assume a10738 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_rat) (Uub tptp.fun_nat_rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_rf Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2)) (tptp.aa_nat_rat Uua Uuc)) (tptp.aa_nat_rat Uub Uuc)))))
% 16.06/16.31 (assume a10739 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_nat) (Uub tptp.fun_nat_nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_rh Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2)) (tptp.aa_nat_nat Uua Uuc)) (tptp.aa_nat_nat Uub Uuc)))))
% 16.06/16.31 (assume a10740 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_int) (Uub tptp.fun_nat_int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_rj Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) Uu2)) (tptp.aa_nat_int Uua Uuc)) (tptp.aa_nat_int Uub Uuc)))))
% 16.06/16.31 (assume a10741 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.set_nat) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_set1316517696749040435t_real (tptp.aTP_Lamm_ni Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.if_real (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uua) (tptp.aa_nat_real Uub Uuc)) (tptp.aa_nat_real Uu2 Uuc)))))
% 16.06/16.31 (assume a10742 (forall ((Uu2 tptp.complex) (Uua tptp.fun_complex_real) (Uub tptp.fun_complex_real) (Uuc tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_la Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.if_real (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uuc) Uu2) (tptp.aa_complex_real Uua Uuc)) (tptp.aa_complex_real Uub Uuc)))))
% 16.06/16.31 (assume a10743 (forall ((Uu2 tptp.complex) (Uua tptp.fun_complex_rat) (Uub tptp.fun_complex_rat) (Uuc tptp.complex)) (= (tptp.aa_complex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aa_fun530470884365435460ex_rat (tptp.aTP_Lamm_lc Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uuc) Uu2)) (tptp.aa_complex_rat Uua Uuc)) (tptp.aa_complex_rat Uub Uuc)))))
% 16.06/16.31 (assume a10744 (forall ((Uu2 tptp.complex) (Uua tptp.fun_complex_nat) (Uub tptp.fun_complex_nat) (Uuc tptp.complex)) (= (tptp.aa_complex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aa_fun2484745150758625324ex_nat (tptp.aTP_Lamm_le Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uuc) Uu2)) (tptp.aa_complex_nat Uua Uuc)) (tptp.aa_complex_nat Uub Uuc)))))
% 16.06/16.31 (assume a10745 (forall ((Uu2 tptp.complex) (Uua tptp.fun_complex_int) (Uub tptp.fun_complex_int) (Uuc tptp.complex)) (= (tptp.aa_complex_int (tptp.aa_fun4286351638413746156ex_int (tptp.aa_fun6437630453459604288ex_int (tptp.aTP_Lamm_lg Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex Uuc) Uu2)) (tptp.aa_complex_int Uua Uuc)) (tptp.aa_complex_int Uub Uuc)))))
% 16.06/16.31 (assume a10746 (forall ((Uu2 tptp.real) (Uua tptp.fun_real_real) (Uub tptp.fun_real_real) (Uuc tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aa_fun5414376518349398074l_real (tptp.aTP_Lamm_kz Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.if_real (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uuc) Uu2) (tptp.aa_real_real Uua Uuc)) (tptp.aa_real_real Uub Uuc)))))
% 16.06/16.31 (assume a10747 (forall ((Uu2 tptp.real) (Uua tptp.fun_real_rat) (Uub tptp.fun_real_rat) (Uuc tptp.real)) (= (tptp.aa_real_rat (tptp.aa_fun2468082234287226944al_rat (tptp.aa_fun1537150169341160510al_rat (tptp.aTP_Lamm_lb Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uuc) Uu2)) (tptp.aa_real_rat Uua Uuc)) (tptp.aa_real_rat Uub Uuc)))))
% 16.06/16.31 (assume a10748 (forall ((Uu2 tptp.real) (Uua tptp.fun_real_nat) (Uub tptp.fun_real_nat) (Uuc tptp.real)) (= (tptp.aa_real_nat (tptp.aa_fun211602392931233840al_nat (tptp.aa_fun1500080954902701606al_nat (tptp.aTP_Lamm_ld Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uuc) Uu2)) (tptp.aa_real_nat Uua Uuc)) (tptp.aa_real_nat Uub Uuc)))))
% 16.06/16.31 (assume a10749 (forall ((Uu2 tptp.real) (Uua tptp.fun_real_int) (Uub tptp.fun_real_int) (Uuc tptp.real)) (= (tptp.aa_real_int (tptp.aa_fun8270430325945277160al_int (tptp.aa_fun7818883909550569274al_int (tptp.aTP_Lamm_lf Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real Uuc) Uu2)) (tptp.aa_real_int Uua Uuc)) (tptp.aa_real_int Uub Uuc)))))
% 16.06/16.31 (assume a10750 (forall ((Uu2 tptp.bool) (Uua tptp.fun_bool_real) (Uub tptp.fun_bool_real) (Uuc tptp.bool)) (= (tptp.aa_bool_real (tptp.aa_fun8933258245593490108l_real (tptp.aa_fun7752257246785809757l_real (tptp.aTP_Lamm_lh Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.if_real (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fequal_bool Uuc) Uu2) (tptp.aa_bool_real Uua Uuc)) (tptp.aa_bool_real Uub Uuc)))))
% 16.06/16.31 (assume a10751 (forall ((Uu2 tptp.bool) (Uua tptp.fun_bool_rat) (Uub tptp.fun_bool_rat) (Uuc tptp.bool)) (= (tptp.aa_bool_rat (tptp.aa_fun224000846028461884ol_rat (tptp.aa_fun1200222457022472201ol_rat (tptp.aTP_Lamm_li Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fequal_bool Uuc) Uu2)) (tptp.aa_bool_rat Uua Uuc)) (tptp.aa_bool_rat Uub Uuc)))))
% 16.06/16.31 (assume a10752 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_rt Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2) (tptp.aa_nat_real Uua Uuc)) (tptp.aa_nat_real Uub Uuc)))))
% 16.06/16.31 (assume a10753 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_rat) (Uub tptp.fun_nat_rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_rv Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2)) (tptp.aa_nat_rat Uua Uuc)) (tptp.aa_nat_rat Uub Uuc)))))
% 16.06/16.31 (assume a10754 (forall ((Uu2 tptp.int) (Uua tptp.fun_int_real) (Uub tptp.fun_int_real) (Uuc tptp.int)) (= (tptp.aa_int_real (tptp.aa_fun3252798400008884712t_real (tptp.aa_fun6524208927192123834t_real (tptp.aTP_Lamm_rs Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.if_real (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uuc) Uu2) (tptp.aa_int_real Uua Uuc)) (tptp.aa_int_real Uub Uuc)))))
% 16.06/16.31 (assume a10755 (forall ((Uu2 tptp.int) (Uua tptp.fun_int_rat) (Uub tptp.fun_int_rat) (Uuc tptp.int)) (= (tptp.aa_int_rat (tptp.aa_fun1481061427733998144nt_rat (tptp.aa_fun2191249852558612414nt_rat (tptp.aTP_Lamm_ru Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uuc) Uu2)) (tptp.aa_int_rat Uua Uuc)) (tptp.aa_int_rat Uub Uuc)))))
% 16.06/16.31 (assume a10756 (forall ((Uu2 tptp.fun_complex_bool) (Uua tptp.fun_complex_complex) (Uub tptp.fun_complex_complex) (Uuc tptp.complex)) (= (tptp.aa_complex_complex (tptp.aa_fun3187328805393345264omplex (tptp.aa_fun4268748527592579270omplex (tptp.aTP_Lamm_jn Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_complex_bool Uu2 Uuc) (tptp.aa_complex_complex Uua Uuc)) (tptp.aa_complex_complex Uub Uuc)))))
% 16.06/16.31 (assume a10757 (forall ((Uu2 tptp.fun_complex_bool) (Uua tptp.fun_complex_real) (Uub tptp.fun_complex_real) (Uuc tptp.complex)) (= (tptp.aa_complex_real (tptp.aa_fun8933909628229591020x_real (tptp.aa_fun8382785274855863872x_real (tptp.aTP_Lamm_jg Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.if_real (tptp.aa_complex_bool Uu2 Uuc) (tptp.aa_complex_real Uua Uuc)) (tptp.aa_complex_real Uub Uuc)))))
% 16.06/16.31 (assume a10758 (forall ((Uu2 tptp.fun_complex_bool) (Uua tptp.fun_complex_rat) (Uub tptp.fun_complex_rat) (Uuc tptp.complex)) (= (tptp.aa_complex_rat (tptp.aa_fun7622890401989837636ex_rat (tptp.aa_fun530470884365435460ex_rat (tptp.aTP_Lamm_jh Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_complex_bool Uu2 Uuc)) (tptp.aa_complex_rat Uua Uuc)) (tptp.aa_complex_rat Uub Uuc)))))
% 16.06/16.31 (assume a10759 (forall ((Uu2 tptp.fun_complex_bool) (Uua tptp.fun_complex_nat) (Uub tptp.fun_complex_nat) (Uuc tptp.complex)) (= (tptp.aa_complex_nat (tptp.aa_fun2465681967280144180ex_nat (tptp.aa_fun2484745150758625324ex_nat (tptp.aTP_Lamm_ji Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_complex_bool Uu2 Uuc)) (tptp.aa_complex_nat Uua Uuc)) (tptp.aa_complex_nat Uub Uuc)))))
% 16.06/16.31 (assume a10760 (forall ((Uu2 tptp.fun_complex_bool) (Uua tptp.fun_complex_int) (Uub tptp.fun_complex_int) (Uuc tptp.complex)) (= (tptp.aa_complex_int (tptp.aa_fun4286351638413746156ex_int (tptp.aa_fun6437630453459604288ex_int (tptp.aTP_Lamm_jj Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_complex_bool Uu2 Uuc)) (tptp.aa_complex_int Uua Uuc)) (tptp.aa_complex_int Uub Uuc)))))
% 16.06/16.31 (assume a10761 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.fun_nat_real) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aa_fun8674848580393814182t_real (tptp.aTP_Lamm_jo Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool Uu2 Uuc) (tptp.aa_nat_real Uua Uuc)) (tptp.aa_nat_real Uub Uuc)))))
% 16.06/16.31 (assume a10762 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.fun_nat_rat) (Uub tptp.fun_nat_rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat (tptp.aTP_Lamm_jk Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_nat_bool Uu2 Uuc)) (tptp.aa_nat_rat Uua Uuc)) (tptp.aa_nat_rat Uub Uuc)))))
% 16.06/16.31 (assume a10763 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.fun_nat_nat) (Uub tptp.fun_nat_nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aa_fun6854695580826382482at_nat (tptp.aTP_Lamm_jm Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool Uu2 Uuc)) (tptp.aa_nat_nat Uua Uuc)) (tptp.aa_nat_nat Uub Uuc)))))
% 16.06/16.31 (assume a10764 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.fun_nat_int) (Uub tptp.fun_nat_int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aa_fun5140708168904641446at_int (tptp.aTP_Lamm_jl Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_nat_bool Uu2 Uuc)) (tptp.aa_nat_int Uua Uuc)) (tptp.aa_nat_int Uub Uuc)))))
% 16.06/16.31 (assume a10765 (forall ((Uu2 tptp.fun_int_bool) (Uua tptp.fun_int_int) (Uub tptp.fun_int_int) (Uuc tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun6280345759651049192nt_int (tptp.aa_fun3693603986580398266nt_int (tptp.aTP_Lamm_jp Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_int_bool Uu2 Uuc)) (tptp.aa_int_int Uua Uuc)) (tptp.aa_int_int Uub Uuc)))))
% 16.06/16.31 (assume a10766 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_ms Uu2) Uua) Uub) Uuc) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_mr Uu2) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) Uuc))))))
% 16.06/16.31 (assume a10767 (forall ((Uu2 tptp.rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_mq Uu2) Uua) Uub) Uuc) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_mp Uu2) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) Uuc))))))
% 16.06/16.31 (assume a10768 (forall ((Uu2 tptp.complex) (Uua tptp.complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_mo Uu2) Uua) Uub) Uuc) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_mn Uu2) Uua) Uub) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) Uuc))))))
% 16.06/16.31 (assume a10769 (forall ((Uu2 tptp.nat) (Uua tptp.code_integer) (Uub tptp.code_integer) (Uuc tptp.nat)) (= (tptp.aa_nat_Code_integer (tptp.aa_Cod1578151519121547077nteger (tptp.aa_Cod6397266357770349983nteger (tptp.aTP_Lamm_ul Uu2) Uua) Uub) Uuc) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.if_Code_integer (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) tptp.zero_zero_nat) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uub) (tptp.if_Code_integer (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2) tptp.one_one_Code_integer tptp.zero_z3403309356797280102nteger))) (tptp.aa_nat_Code_integer (tptp.power_8256067586552552935nteger Uua) Uuc)))))
% 16.06/16.31 (assume a10770 (forall ((Uu2 tptp.nat) (Uua tptp.complex) (Uub tptp.complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aTP_Lamm_uk Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) tptp.zero_zero_nat) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Uub)) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2) tptp.one_one_complex) tptp.zero_zero_complex))) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uuc)))))
% 16.06/16.31 (assume a10771 (forall ((Uu2 tptp.nat) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_un Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) tptp.zero_zero_nat) (tptp.aa_real_real tptp.uminus_uminus_real Uub)) (tptp.aa_real_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2) tptp.one_one_real) tptp.zero_zero_real))) (tptp.aa_nat_real (tptp.power_power_real Uua) Uuc)))))
% 16.06/16.31 (assume a10772 (forall ((Uu2 tptp.nat) (Uua tptp.rat) (Uub tptp.rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aTP_Lamm_um Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) tptp.zero_zero_nat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat Uub)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2)) tptp.one_one_rat) tptp.zero_zero_rat))) (tptp.aa_nat_rat (tptp.power_power_rat Uua) Uuc)))))
% 16.06/16.31 (assume a10773 (forall ((Uu2 tptp.nat) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aa_int5842867502692063756at_int (tptp.aTP_Lamm_uj Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) tptp.zero_zero_nat)) (tptp.aa_int_int tptp.uminus_uminus_int Uub)) (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uuc) Uu2)) tptp.one_one_int) tptp.zero_zero_int))) (tptp.aa_nat_int (tptp.power_power_int Uua) Uuc)))))
% 16.06/16.31 (assume a10774 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun6650658898577385413at_nat (tptp.aTP_Lamm_ts Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun6650658898577385413at_nat (tptp.aTP_Lamm_tr Uu2) Uua) Uuc)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uub) Uuc)))))
% 16.06/16.31 (assume a10775 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_fun4732485501138722137t_real (tptp.aTP_Lamm_tf Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_fun3023522663955195517t_real (tptp.aTP_Lamm_te Uu2) Uua) Uuc) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uub) Uuc)))))
% 16.06/16.31 (assume a10776 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.fun_nat_int) (Uub tptp.int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aa_fun2315716387381795033at_int (tptp.aTP_Lamm_td Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_fun6128006242533108349at_int (tptp.aTP_Lamm_tc Uu2) Uua) Uuc) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uub) Uuc)))))
% 16.06/16.31 (assume a10777 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.fun_nat_rat) (Uub tptp.rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_fun5559679822142647773at_rat (tptp.aTP_Lamm_tb Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_fun2663889555218712533at_rat (tptp.aTP_Lamm_ta Uu2) Uua) Uuc) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_rat (tptp.power_power_rat Uub) Uuc)))))
% 16.06/16.31 (assume a10778 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.fun_nat_complex) (Uub tptp.complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_fun3721018923249493343omplex (tptp.aTP_Lamm_sz Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_fun5379041630539201665omplex (tptp.aTP_Lamm_sy Uu2) Uua) Uuc) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uuc)))))
% 16.06/16.31 (assume a10779 (forall ((Uu2 tptp.fun_na6724076748692969250l_real) (Uua tptp.nat) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_xi Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.suc Uua)) Uuc)) tptp.zero_zero_real)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uub) Uuc)))))
% 16.06/16.31 (assume a10780 (forall ((Uu2 tptp.fun_na6724076748692969250l_real) (Uua tptp.nat) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_xg Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uuc)) tptp.zero_zero_real)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uub) Uuc)))))
% 16.06/16.31 (assume a10781 (forall ((Uu2 tptp.fun_na6724076748692969250l_real) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_xe Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uu2 Uuc) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uuc))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.minus_minus_real Uub) Uua)) Uuc)))))
% 16.06/16.31 (assume a10782 (forall ((Uu2 tptp.fun_na6724076748692969250l_real) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_xf Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uu2 Uuc) Uub)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uuc))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.minus_minus_real Uua) Uub)) Uuc)))))
% 16.06/16.31 (assume a10783 (forall ((Uu2 tptp.complex) (Uua tptp.complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_nm Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uu2) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uu2) Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uu2) Uub)))))
% 16.06/16.31 (assume a10784 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_ns Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real Uu2) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uub)))))
% 16.06/16.31 (assume a10785 (forall ((Uu2 tptp.rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_no Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_rat (tptp.power_power_rat Uu2) Uuc))) (tptp.aa_nat_rat (tptp.power_power_rat Uu2) Uub)))))
% 16.06/16.31 (assume a10786 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_nq Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu2) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uu2) Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uu2) Uub)))))
% 16.06/16.31 (assume a10787 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_wd Uu2) Uua) Uub) Uuc) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uu2) Uub)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) Uuc))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uu2) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) Uub))))))
% 16.06/16.31 (assume a10788 (forall ((Uu2 tptp.complex) (Uua tptp.complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_mn Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uua) Uu2)) Uuc)) (tptp.aa_nat_complex (tptp.power_power_complex Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Uuc))))))
% 16.06/16.31 (assume a10789 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_mr Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real Uua) Uu2)) Uuc)) (tptp.aa_nat_real (tptp.power_power_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Uuc))))))
% 16.06/16.31 (assume a10790 (forall ((Uu2 tptp.rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_mp Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uua) Uu2)) Uuc)) (tptp.aa_nat_rat (tptp.power_power_rat Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Uuc))))))
% 16.06/16.31 (assume a10791 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_tp Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Uu2) Uuc))) (tptp.aa_nat_real (tptp.comm_s7457072308508201937r_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10792 (forall ((Uu2 tptp.rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_tn Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Uu2) Uuc))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10793 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_to Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Uu2) Uuc))) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10794 (forall ((Uu2 tptp.complex) (Uua tptp.complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_tj Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uu2) Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10795 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_tm Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10796 (forall ((Uu2 tptp.rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_tk Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_rat (tptp.power_power_rat Uu2) Uuc))) (tptp.aa_nat_rat (tptp.power_power_rat Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10797 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_st Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uu2) Uuc))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10798 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_tl Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uu2) Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10799 (forall ((Uu2 tptp.complex) (Uua tptp.nat) (Uub tptp.complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_nu Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uuc)))) (tptp.aa_nat_complex (tptp.power_power_complex Uu2) Uuc)))))
% 16.06/16.31 (assume a10800 (forall ((Uu2 tptp.real) (Uua tptp.nat) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_nx Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uuc)))) (tptp.aa_nat_real (tptp.power_power_real Uu2) Uuc)))))
% 16.06/16.31 (assume a10801 (forall ((Uu2 tptp.rat) (Uua tptp.nat) (Uub tptp.rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_nat298952458717073160at_rat (tptp.aTP_Lamm_nv Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uuc)))) (tptp.aa_nat_rat (tptp.power_power_rat Uu2) Uuc)))))
% 16.06/16.31 (assume a10802 (forall ((Uu2 tptp.int) (Uua tptp.nat) (Uub tptp.int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aa_nat6704147566042551216at_int (tptp.aTP_Lamm_nw Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) (tptp.aa_nat_nat tptp.suc Uuc)))) (tptp.aa_nat_int (tptp.power_power_int Uu2) Uuc)))))
% 16.06/16.31 (assume a10803 (forall ((Uu2 tptp.complex) (Uua tptp.complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aTP_Lamm_nn Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex Uu2) Uuc)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uu2) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_complex (tptp.power_power_complex Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))))))
% 16.06/16.31 (assume a10804 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aTP_Lamm_nt Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real Uu2) Uuc)) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real Uu2) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_real (tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))))))
% 16.06/16.31 (assume a10805 (forall ((Uu2 tptp.rat) (Uua tptp.rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aTP_Lamm_np Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat Uu2) Uuc)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_rat (tptp.power_power_rat Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))))))
% 16.06/16.31 (assume a10806 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aTP_Lamm_nr Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int Uu2) Uuc)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu2) Uua)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))) (tptp.aa_nat_int (tptp.power_power_int Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc)))))))
% 16.06/16.31 (assume a10807 (forall ((Uu2 tptp.complex) (Uua tptp.nat) (Uub tptp.complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_ny Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex Uu2) Uuc)) (tptp.aa_nat_complex (tptp.power_power_complex Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uuc))))))
% 16.06/16.31 (assume a10808 (forall ((Uu2 tptp.real) (Uua tptp.nat) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_ob Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.power_power_real Uu2) Uuc)) (tptp.aa_nat_real (tptp.power_power_real Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uuc))))))
% 16.06/16.31 (assume a10809 (forall ((Uu2 tptp.rat) (Uua tptp.nat) (Uub tptp.rat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_nat298952458717073160at_rat (tptp.aTP_Lamm_nz Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat Uu2) Uuc)) (tptp.aa_nat_rat (tptp.power_power_rat Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uuc))))))
% 16.06/16.31 (assume a10810 (forall ((Uu2 tptp.int) (Uua tptp.nat) (Uub tptp.int) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aa_nat6704147566042551216at_int (tptp.aTP_Lamm_oa Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int Uu2) Uuc)) (tptp.aa_nat_int (tptp.power_power_int Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uuc))))))
% 16.06/16.31 (assume a10811 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_sf Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10812 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_wi Uu2) Uua) Uub) Uuc)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua))))))
% 16.06/16.31 (assume a10813 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_wg Uu2) Uua) Uub) Uuc)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua))))))
% 16.06/16.31 (assume a10814 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_wk Uu2) Uua) Uub) Uuc) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uub)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uuc)))))
% 16.06/16.31 (assume a10815 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_wm Uu2) Uua) Uub) Uuc) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)))))
% 16.06/16.31 (assume a10816 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_zq Uu2) Uua) Uub) Uuc)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 16.06/16.31 (assume a10817 (forall ((Uu2 tptp.set_complex) (Uua tptp.fun_complex_real) (Uub tptp.fun_complex_real) (Uuc tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun2898354424061222765x_bool (tptp.aa_fun2094807616088678831x_bool (tptp.aTP_Lamm_fg Uu2) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uuc) Uu2)) (not (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_complex_real Uua Uuc)) (tptp.aa_complex_real Uub Uuc)) tptp.zero_zero_real))))))
% 16.06/16.31 (assume a10818 (forall ((Uu2 tptp.set_complex) (Uua tptp.fun_complex_rat) (Uub tptp.fun_complex_rat) (Uuc tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_fun2759627087638585025x_bool (tptp.aa_fun1496239077807485399x_bool (tptp.aTP_Lamm_fq Uu2) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_complex_bool (tptp.member_complex Uuc) Uu2)) (not (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_complex_rat Uua Uuc)) (tptp.aa_complex_rat Uub Uuc)) tptp.zero_zero_rat))))))
% 16.06/16.31 (assume a10819 (forall ((Uu2 tptp.set_real) (Uua tptp.fun_real_real) (Uub tptp.fun_real_real) (Uuc tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun9137271176455094897l_bool (tptp.aa_fun334843040499603765l_bool (tptp.aTP_Lamm_ey Uu2) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uuc) Uu2)) (not (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_real_real Uua Uuc)) (tptp.aa_real_real Uub Uuc)) tptp.zero_zero_real))))))
% 16.06/16.31 (assume a10820 (forall ((Uu2 tptp.set_real) (Uua tptp.fun_real_rat) (Uub tptp.fun_real_rat) (Uuc tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun8987621170725249221l_bool (tptp.aa_fun8530242357055030877l_bool (tptp.aTP_Lamm_fi Uu2) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_real_bool (tptp.member_real Uuc) Uu2)) (not (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_real_rat Uua Uuc)) (tptp.aa_real_rat Uub Uuc)) tptp.zero_zero_rat))))))
% 16.06/16.31 (assume a10821 (forall ((Uu2 tptp.set_bool) (Uua tptp.fun_bool_real) (Uub tptp.fun_bool_real) (Uuc tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_fun2512541629346179229l_bool (tptp.aa_fun8125513006060278610l_bool (tptp.aTP_Lamm_fa Uu2) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uuc) Uu2)) (not (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_bool_real Uua Uuc)) (tptp.aa_bool_real Uub Uuc)) tptp.zero_zero_real))))))
% 16.06/16.31 (assume a10822 (forall ((Uu2 tptp.set_bool) (Uua tptp.fun_bool_rat) (Uub tptp.fun_bool_rat) (Uuc tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aa_fun4510340986217973961l_bool (tptp.aa_fun5608642267463484754l_bool (tptp.aTP_Lamm_fk Uu2) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_bool_bool (tptp.member_bool Uuc) Uu2)) (not (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_bool_rat Uua Uuc)) (tptp.aa_bool_rat Uub Uuc)) tptp.zero_zero_rat))))))
% 16.06/16.31 (assume a10823 (forall ((Uu2 tptp.set_nat) (Uua tptp.fun_nat_real) (Uub tptp.fun_nat_real) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun1349230436907296553t_bool (tptp.aa_fun849216055071118793t_bool (tptp.aTP_Lamm_fe Uu2) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu2)) (not (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real Uua Uuc)) (tptp.aa_nat_real Uub Uuc)) tptp.zero_zero_real))))))
% 16.06/16.31 (assume a10824 (forall ((Uu2 tptp.set_nat) (Uua tptp.fun_nat_rat) (Uub tptp.fun_nat_rat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_fun5637262893798792573t_bool (tptp.aa_fun2107527232086395633t_bool (tptp.aTP_Lamm_fo Uu2) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_nat_bool (tptp.member_nat Uuc) Uu2)) (not (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat Uua Uuc)) (tptp.aa_nat_rat Uub Uuc)) tptp.zero_zero_rat))))))
% 16.06/16.31 (assume a10825 (forall ((Uu2 tptp.set_int) (Uua tptp.fun_int_real) (Uub tptp.fun_int_real) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun1262781554902806129t_bool (tptp.aa_fun6205147705862377397t_bool (tptp.aTP_Lamm_fc Uu2) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu2)) (not (= (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_int_real Uua Uuc)) (tptp.aa_int_real Uub Uuc)) tptp.zero_zero_real))))))
% 16.06/16.31 (assume a10826 (forall ((Uu2 tptp.set_int) (Uua tptp.fun_int_rat) (Uub tptp.fun_int_rat) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_fun258058769140594373t_bool (tptp.aa_fun465274253410646749t_bool (tptp.aTP_Lamm_fm Uu2) Uua) Uub) Uuc)) (and (tptp.pp (tptp.aa_set_int_bool (tptp.member_int Uuc) Uu2)) (not (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat Uua Uuc)) (tptp.aa_int_rat Uub Uuc)) tptp.zero_zero_rat))))))
% 16.06/16.31 (assume a10827 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.nat) (Uub tptp.complex) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_nat2301396582920332468omplex (tptp.aTP_Lamm_ix Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uuc) Uua))) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uuc)))))
% 16.06/16.31 (assume a10828 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_iy Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uuc) Uua))) (tptp.aa_nat_real (tptp.power_power_real Uub) Uuc)))))
% 16.06/16.31 (assume a10829 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.fun_nat_complex) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_fun5379041630539201665omplex (tptp.aTP_Lamm_sy Uu2) Uua) Uub) Uuc) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu2 Uuc)) (tptp.aa_nat_complex Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10830 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_fun3023522663955195517t_real (tptp.aTP_Lamm_te Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real Uu2 Uuc)) (tptp.aa_nat_real Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10831 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.fun_nat_rat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_fun2663889555218712533at_rat (tptp.aTP_Lamm_ta Uu2) Uua) Uub) Uuc) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat Uu2 Uuc)) (tptp.aa_nat_rat Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10832 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun6650658898577385413at_nat (tptp.aTP_Lamm_tr Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu2 Uuc)) (tptp.aa_nat_nat Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10833 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.fun_nat_int) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_fun6128006242533108349at_int (tptp.aTP_Lamm_tc Uu2) Uua) Uub) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu2 Uuc)) (tptp.aa_nat_int Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 16.06/16.31 (assume a10834 (forall ((Uu2 tptp.bool) (Uua tptp.fun_nat_fun_nat_bool) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_fun3051233943552222972t_bool (tptp.aTP_Lamm_ho Uu2) Uua) Uub) Uuc)) (and (tptp.pp Uu2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool Uua Uub) Uuc))))))
% 16.06/16.31 (assume a10835 (forall ((Uu2 tptp.fun_Pr2478283820680522243nt_int) (Uua tptp.fun_in1696471567231710611nt_int) (Uub tptp.int) (Uuc tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aa_fun4152872853588681340nt_int (tptp.aTP_Lamm_gh Uu2) Uua) Uub) Uuc) (tptp.aa_Pro6970504127699319548nt_int Uu2 (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int Uua Uub) Uuc)))))
% 16.06/16.31 (assume a10836 (forall ((Uu2 tptp.fun_bool_bool) (Uua tptp.fun_nat_fun_nat_bool) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_fun3051233943552222972t_bool (tptp.aTP_Lamm_fz Uu2) Uua) Uub) Uuc)) (tptp.pp (tptp.aa_bool_bool Uu2 (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool Uua Uub) Uuc))))))
% 16.06/16.31 (assume a10837 (forall ((Uu2 tptp.fun_bool_nat) (Uua tptp.fun_nat_fun_nat_bool) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun8134142976681035223at_nat (tptp.aTP_Lamm_ga Uu2) Uua) Uub) Uuc) (tptp.aa_bool_nat Uu2 (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool Uua Uub) Uuc)))))
% 16.06/16.31 (assume a10838 (forall ((Uu2 tptp.fun_bo3682073979402284333at_nat) (Uua tptp.fun_nat_fun_nat_bool) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat (tptp.aa_fun8974016276556183434at_nat (tptp.aTP_Lamm_gi Uu2) Uua) Uub) Uuc) (tptp.aa_boo5791090712870310366at_nat Uu2 (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool Uua Uub) Uuc)))))
% 16.06/16.31 (assume a10839 (forall ((Uu2 tptp.fun_bo6148171183121378627t_bool) (Uua tptp.fun_nat_fun_nat_bool) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool (tptp.aa_fun3328218794057202080t_bool (tptp.aTP_Lamm_gd Uu2) Uua) Uub) Uuc) (tptp.aa_boo3692867584632636148t_bool Uu2 (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool Uua Uub) Uuc)))))
% 16.06/16.31 (assume a10840 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.fun_nat_fun_nat_nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_fun1421985582829848961t_bool (tptp.aTP_Lamm_gb Uu2) Uua) Uub) Uuc)) (tptp.pp (tptp.aa_nat_bool Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat Uua Uub) Uuc))))))
% 16.06/16.31 (assume a10841 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.fun_nat_fun_nat_nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun7716529229553496594at_nat (tptp.aTP_Lamm_gc Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat Uua Uub) Uuc)))))
% 16.06/16.31 (assume a10842 (forall ((Uu2 tptp.fun_na4827981024643048934t_bool) (Uua tptp.fun_nat_fun_nat_nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool (tptp.aa_fun9209259830566968027t_bool (tptp.aTP_Lamm_ge Uu2) Uua) Uub) Uuc) (tptp.aa_nat4401263874371387303t_bool Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat Uua Uub) Uuc)))))
% 16.06/16.31 (assume a10843 (forall ((Uu2 tptp.fun_fu5641360819561228055l_bool) (Uua tptp.fun_na4786964484885125043t_bool) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_fun7513403936370313208t_bool (tptp.aTP_Lamm_gf Uu2) Uua) Uub) Uuc)) (tptp.pp (tptp.aa_fun8663595511526100224l_bool Uu2 (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool Uua Uub) Uuc))))))
% 16.06/16.31 (assume a10844 (forall ((Uu2 tptp.fun_fu4450724535874491238ol_nat) (Uua tptp.fun_na4786964484885125043t_bool) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun3048062428331337179at_nat (tptp.aTP_Lamm_gg Uu2) Uua) Uub) Uuc) (tptp.aa_fun3448868659104709799ol_nat Uu2 (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool Uua Uub) Uuc)))))
% 16.06/16.31 (assume a10845 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_nat4085805313368488148t_real (tptp.aTP_Lamm_jf Uu2) Uua) Uub) Uuc) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)) Uuc)))))
% 16.06/16.31 (assume a10846 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_je Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)) Uuc)))))
% 16.06/16.31 (assume a10847 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_nat1293065384339088724at_int (tptp.aTP_Lamm_qz Uu2) Uua) Uub) Uuc) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)) Uuc)))))
% 16.06/16.31 (assume a10848 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_yn Uu2) Uua) Uub) Uuc) (tptp.aa_Pro6970504127699319548nt_int tptp.normalize (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uu2) Uuc)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uub) Uua))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uuc))))))
% 16.06/16.31 (assume a10849 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_yl Uu2) Uua) Uub) Uuc) (tptp.aa_Pro6970504127699319548nt_int tptp.normalize (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uu2) Uuc)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uub) Uua))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uuc))))))
% 16.06/16.31 (assume a10850 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_yj Uu2) Uua) Uub) Uuc) (tptp.aa_Pro6970504127699319548nt_int tptp.normalize (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uu2) Uub)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uuc))))))
% 16.06/16.31 (assume a10851 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_yh Uu2) Uua) Uub) Uuc) (tptp.aa_Pro6970504127699319548nt_int tptp.normalize (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uu2) Uuc)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uub))))))
% 16.06/16.31 (assume a10852 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_real) (Uub tptp.real) (Uuc tptp.real) (Uud tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_fun2548873334967081986t_real (tptp.aTP_Lamm_vg Uu2) Uua) Uub) Uuc) Uud) (tptp.groups6591440286371151544t_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aa_rea6454571821648764761t_real (tptp.aTP_Lamm_vf Uua) Uub) Uuc) Uud) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10853 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_int) (Uub tptp.int) (Uuc tptp.int) (Uud tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aa_int5842867502692063756at_int (tptp.aa_fun7421131748584218370at_int (tptp.aTP_Lamm_ve Uu2) Uua) Uub) Uuc) Uud) (tptp.groups3539618377306564664at_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aa_int6823550873765277145at_int (tptp.aTP_Lamm_vd Uua) Uub) Uuc) Uud) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10854 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_rat) (Uub tptp.rat) (Uuc tptp.rat) (Uud tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_fun8528462509625601970at_rat (tptp.aTP_Lamm_vc Uu2) Uua) Uub) Uuc) Uud) (tptp.groups2906978787729119204at_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aa_rat8984911954100663005at_rat (tptp.aTP_Lamm_vb Uua) Uub) Uuc) Uud) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10855 (forall ((Uu2 tptp.nat) (Uua tptp.fun_nat_complex) (Uub tptp.complex) (Uuc tptp.complex) (Uud tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_fun5031706661949900810omplex (tptp.aTP_Lamm_va Uu2) Uua) Uub) Uuc) Uud) (tptp.groups2073611262835488442omplex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aa_com7713930848417683039omplex (tptp.aTP_Lamm_uz Uua) Uub) Uuc) Uud) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10856 (forall ((Uu2 tptp.nat) (Uua tptp.fun_na6724076748692969250l_real) (Uub tptp.real) (Uuc tptp.nat) (Uud tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.aa_rea1103652080130114956l_real (tptp.aa_fun2567993205388704171l_real (tptp.aTP_Lamm_xh Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uua Uuc) Uud)) (tptp.aa_real_real (tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_xg Uua) Uuc) Uud) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uuc)))) (tptp.aa_real_real (tptp.times_times_real Uub) (tptp.aa_real_real (tptp.divide_divide_real (tptp.aa_nat_real (tptp.power_power_real Uud) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uuc))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uuc)))))))))
% 16.06/16.31 (assume a10857 (forall ((Uu2 tptp.nat) (Uua tptp.complex) (Uub tptp.complex) (Uuc tptp.complex) (Uud tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_uw Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uud)) Uua)) tptp.one_one_complex)) Uud)) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uud))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10858 (forall ((Uu2 tptp.nat) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.real) (Uud tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_uy Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.minus_minus_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uud)) Uua)) tptp.one_one_real)) Uud)) (tptp.aa_nat_real (tptp.power_power_real Uub) Uud))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10859 (forall ((Uu2 tptp.nat) (Uua tptp.rat) (Uub tptp.rat) (Uuc tptp.rat) (Uud tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_ux Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uud)) Uua)) tptp.one_one_rat)) Uud)) (tptp.aa_nat_rat (tptp.power_power_rat Uub) Uud))) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10860 (forall ((Uu2 tptp.nat) (Uua tptp.complex) (Uub tptp.complex) (Uuc tptp.complex) (Uud tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_ud Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uu2)) Uua)) Uud)) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uud))) (tptp.aa_nat_complex (tptp.power_power_complex Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10861 (forall ((Uu2 tptp.nat) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.real) (Uud tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_uh Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real (tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uu2)) Uua)) Uud)) (tptp.aa_nat_real (tptp.power_power_real Uub) Uud))) (tptp.aa_nat_real (tptp.power_power_real Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10862 (forall ((Uu2 tptp.nat) (Uua tptp.rat) (Uub tptp.rat) (Uuc tptp.rat) (Uud tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_uf Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uu2)) Uua)) Uud)) (tptp.aa_nat_rat (tptp.power_power_rat Uub) Uud))) (tptp.aa_nat_rat (tptp.power_power_rat Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10863 (forall ((Uu2 tptp.nat) (Uua tptp.complex) (Uub tptp.complex) (Uuc tptp.complex) (Uud tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aa_com8177640530696437650omplex (tptp.aa_com177695874307951165omplex (tptp.aTP_Lamm_ue Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Uua)) Uud)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Uub)) Uud))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10864 (forall ((Uu2 tptp.nat) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.real) (Uud tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aa_rea1729780184207679413t_real (tptp.aTP_Lamm_ui Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real (tptp.gbinomial_real (tptp.aa_real_real tptp.uminus_uminus_real Uua)) Uud)) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real Uub)) Uud))) (tptp.aa_nat_real (tptp.power_power_real (tptp.aa_real_real (tptp.plus_plus_real Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10865 (forall ((Uu2 tptp.nat) (Uua tptp.rat) (Uub tptp.rat) (Uuc tptp.rat) (Uud tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_rat_fun_nat_rat (tptp.aa_rat3146053865535587600at_rat (tptp.aa_rat7467449789483521253at_rat (tptp.aTP_Lamm_ug Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat Uua)) Uud)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat Uub)) Uud))) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uub) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uud))))))
% 16.06/16.31 (assume a10866 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.complex) (Uuc tptp.nat) (Uud tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aa_com4347742694490471604omplex (tptp.aa_com7713930848417683039omplex (tptp.aTP_Lamm_uz Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uuc) Uud)) tptp.one_one_nat))) (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uud))) (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uuc)))))
% 16.06/16.31 (assume a10867 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.nat) (Uud tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aa_rea6853821027689443120t_real (tptp.aa_rea6454571821648764761t_real (tptp.aTP_Lamm_vf Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_real_real (tptp.times_times_real (tptp.aa_real_real (tptp.times_times_real (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uuc) Uud)) tptp.one_one_nat))) (tptp.aa_nat_real (tptp.power_power_real Uub) Uud))) (tptp.aa_nat_real (tptp.power_power_real Uua) Uuc)))))
% 16.06/16.31 (assume a10868 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.rat) (Uub tptp.rat) (Uuc tptp.nat) (Uud tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aa_rat250263598611652360at_rat (tptp.aa_rat8984911954100663005at_rat (tptp.aTP_Lamm_vb Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uuc) Uud)) tptp.one_one_nat))) (tptp.aa_nat_rat (tptp.power_power_rat Uub) Uud))) (tptp.aa_nat_rat (tptp.power_power_rat Uua) Uuc)))))
% 16.06/16.31 (assume a10869 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.nat) (Uud tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_int431785320988601264at_int (tptp.aa_int6823550873765277145at_int (tptp.aTP_Lamm_vd Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uuc) Uud)) tptp.one_one_nat))) (tptp.aa_nat_int (tptp.power_power_int Uub) Uud))) (tptp.aa_nat_int (tptp.power_power_int Uua) Uuc)))))
% 16.06/16.31 (assume a10870 (forall ((Uu2 tptp.nat) (Uua tptp.list_VEBT_VEBT) (Uub tptp.vEBT_VEBT) (Uuc tptp.nat) (Uud tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_yv Uu2) Uua) Uub) Uuc) Uud)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Uuc) Uud)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uud) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uu2))) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (= (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT Uua I4)) X_12))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Uub) I4))))) (=> (= Uuc Uud) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 Uua))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_12))))))) (=> (not (= Uuc Uud)) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5917875025757280293ildren (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) Uud)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uu2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5917875025757280293ildren (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) X4)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Uud))))))))))))
% 16.06/16.31 (assume a10871 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_hp Uu2) Uua)) true)))
% 16.06/16.31 (assume a10872 (forall ((Uu2 tptp.complex)) (= (tptp.aa_complex_complex tptp.aTP_Lamm_nd Uu2) Uu2)))
% 16.06/16.31 (assume a10873 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_mg Uu2) Uu2)))
% 16.06/16.31 (assume a10874 (forall ((Uu2 tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_om Uu2) Uu2)))
% 16.06/16.31 (assume a10875 (forall ((Uu2 tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool tptp.aTP_Lamm_cf Uu2)) false)))
% 16.06/16.31 (assume a10876 (forall ((Uu2 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool tptp.aTP_Lamm_cc Uu2)) false)))
% 16.06/16.31 (assume a10877 (forall ((Uu2 tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool tptp.aTP_Lamm_ce Uu2)) false)))
% 16.06/16.31 (assume a10878 (forall ((Uu2 tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool tptp.aTP_Lamm_cg Uu2)) false)))
% 16.06/16.31 (assume a10879 (forall ((Uu2 tptp.set_nat)) (= (tptp.pp (tptp.aa_set_nat_bool tptp.aTP_Lamm_cd Uu2)) false)))
% 16.06/16.31 (assume a10880 (forall ((Uu2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool tptp.aTP_Lamm_ch Uu2)) false)))
% 16.06/16.31 (assume a10881 (forall ((Uu2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool tptp.aTP_Lamm_ci Uu2)) false)))
% 16.06/16.31 (assume a10882 (forall ((Uu2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool tptp.aTP_Lamm_vr Uu2)) true)))
% 16.06/16.31 (assume a10883 (forall ((P tptp.bool)) (or (tptp.pp P) (tptp.pp (tptp.aa_bool_bool tptp.fNot P)))))
% 16.06/16.31 (assume a10884 (forall ((P tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool tptp.fNot P))) (not (tptp.pp P)))))
% 16.06/16.31 (assume a10885 (tptp.pp tptp.fTrue))
% 16.06/16.31 (assume a10886 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj P) Q))) (tptp.pp Q))))
% 16.06/16.31 (assume a10887 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj P) Q))) (tptp.pp P))))
% 16.06/16.31 (assume a10888 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp P)) (not (tptp.pp Q)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fconj P) Q)))))
% 16.06/16.31 (assume a10889 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fdisj P) Q))) (tptp.pp P) (tptp.pp Q))))
% 16.06/16.31 (assume a10890 (forall ((Q tptp.bool) (P tptp.bool)) (or (not (tptp.pp Q)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fdisj P) Q)))))
% 16.06/16.31 (assume a10891 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp P)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fdisj P) Q)))))
% 16.06/16.31 (assume a10892 (not (tptp.pp tptp.fFalse)))
% 16.06/16.31 (assume a10893 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies P) Q))) (not (tptp.pp P)) (tptp.pp Q))))
% 16.06/16.31 (assume a10894 (forall ((Q tptp.bool) (P tptp.bool)) (or (not (tptp.pp Q)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies P) Q)))))
% 16.06/16.31 (assume a10895 (forall ((P tptp.bool) (Q tptp.bool)) (or (tptp.pp P) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies P) Q)))))
% 16.06/16.31 (assume a10896 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int tptp.fFalse) X3) Y) Y)))
% 16.06/16.31 (assume a10897 (forall ((X3 tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.if_int tptp.fTrue) X3) Y) X3)))
% 16.06/16.31 (assume a10898 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat tptp.fFalse) X3) Y) Y)))
% 16.06/16.31 (assume a10899 (forall ((X3 tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat tptp.fTrue) X3) Y) X3)))
% 16.06/16.31 (assume a10900 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num (tptp.if_num tptp.fFalse) X3) Y) Y)))
% 16.06/16.31 (assume a10901 (forall ((X3 tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.aa_num_fun_num_num (tptp.if_num tptp.fTrue) X3) Y) X3)))
% 16.06/16.31 (assume a10902 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat tptp.fFalse) X3) Y) Y)))
% 16.06/16.31 (assume a10903 (forall ((X3 tptp.rat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat (tptp.if_rat tptp.fTrue) X3) Y) X3)))
% 16.06/16.31 (assume a10904 (forall ((P tptp.fun_nat_bool) (X3 tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool P X3))) (tptp.pp (tptp.aa_fun_nat_bool_bool tptp.fEx_nat P)))))
% 16.06/16.31 (assume a10905 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.if_real tptp.fFalse X3) Y) Y)))
% 16.06/16.31 (assume a10906 (forall ((X3 tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.if_real tptp.fTrue X3) Y) X3)))
% 16.06/16.31 (assume a10907 (forall ((X3 tptp.int) (Y tptp.int)) (or (not (= X3 Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int X3) Y)))))
% 16.06/16.31 (assume a10908 (forall ((X3 tptp.int) (Y tptp.int)) (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int X3) Y))) (= X3 Y))))
% 16.06/16.31 (assume a10909 (forall ((X3 tptp.nat) (Y tptp.nat)) (or (not (= X3 Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Y)))))
% 16.06/16.31 (assume a10910 (forall ((X3 tptp.nat) (Y tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X3) Y))) (= X3 Y))))
% 16.06/16.31 (assume a10911 (forall ((X3 tptp.num) (Y tptp.num)) (or (not (= X3 Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.fequal_num X3) Y)))))
% 16.06/16.31 (assume a10912 (forall ((X3 tptp.num) (Y tptp.num)) (or (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.fequal_num X3) Y))) (= X3 Y))))
% 16.06/16.31 (assume a10913 (forall ((X3 tptp.bool) (Y tptp.bool)) (or (not (= X3 Y)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fequal_bool X3) Y)))))
% 16.06/16.31 (assume a10914 (forall ((X3 tptp.bool) (Y tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fequal_bool X3) Y))) (= X3 Y))))
% 16.06/16.31 (assume a10915 (forall ((X3 tptp.real) (Y tptp.real)) (or (not (= X3 Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real X3) Y)))))
% 16.06/16.31 (assume a10916 (forall ((X3 tptp.real) (Y tptp.real)) (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real X3) Y))) (= X3 Y))))
% 16.06/16.31 (assume a10917 (forall ((X3 tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.if_complex tptp.fFalse X3) Y) Y)))
% 16.06/16.31 (assume a10918 (forall ((X3 tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.if_complex tptp.fTrue X3) Y) X3)))
% 16.06/16.31 (assume a10919 (forall ((X3 tptp.complex) (Y tptp.complex)) (or (not (= X3 Y)) (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex X3) Y)))))
% 16.06/16.31 (assume a10920 (forall ((X3 tptp.complex) (Y tptp.complex)) (or (not (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool tptp.fequal_complex X3) Y))) (= X3 Y))))
% 16.06/16.31 (assume a10921 (forall ((X3 tptp.code_integer) (Y tptp.code_integer)) (= (tptp.if_Code_integer tptp.fFalse X3 Y) Y)))
% 16.06/16.31 (assume a10922 (forall ((X3 tptp.code_integer) (Y tptp.code_integer)) (= (tptp.if_Code_integer tptp.fTrue X3 Y) X3)))
% 16.06/16.31 (assume a10923 (forall ((X3 tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (tptp.if_VEBT_VEBT tptp.fFalse X3 Y) Y)))
% 16.06/16.31 (assume a10924 (forall ((X3 tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (tptp.if_VEBT_VEBT tptp.fTrue X3 Y) X3)))
% 16.06/16.31 (assume a10925 (forall ((P tptp.fun_VEBT_VEBT_bool) (X3 tptp.vEBT_VEBT)) (or (not (tptp.pp (tptp.fAll_VEBT_VEBT P))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X3)))))
% 16.06/16.31 (assume a10926 (forall ((X3 tptp.code_integer) (Y tptp.code_integer)) (or (not (= X3 Y)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer X3) Y)))))
% 16.06/16.31 (assume a10927 (forall ((X3 tptp.code_integer) (Y tptp.code_integer)) (or (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer X3) Y))) (= X3 Y))))
% 16.06/16.31 (assume a10928 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (or (not (= X3 Y)) (tptp.pp (tptp.aa_set_nat_bool (tptp.fequal_set_nat X3) Y)))))
% 16.06/16.31 (assume a10929 (forall ((X3 tptp.set_nat) (Y tptp.set_nat)) (or (not (tptp.pp (tptp.aa_set_nat_bool (tptp.fequal_set_nat X3) Y))) (= X3 Y))))
% 16.06/16.31 (assume a10930 (forall ((X3 tptp.option_nat) (Y tptp.option_nat)) (= (tptp.if_option_nat tptp.fFalse X3 Y) Y)))
% 16.06/16.31 (assume a10931 (forall ((X3 tptp.option_nat) (Y tptp.option_nat)) (= (tptp.if_option_nat tptp.fTrue X3 Y) X3)))
% 16.06/16.31 (assume a10932 (forall ((X3 tptp.list_nat) (Y tptp.list_nat)) (or (not (= X3 Y)) (tptp.pp (tptp.aa_list_nat_bool (tptp.fequal_list_nat X3) Y)))))
% 16.06/16.31 (assume a10933 (forall ((X3 tptp.list_nat) (Y tptp.list_nat)) (or (not (tptp.pp (tptp.aa_list_nat_bool (tptp.fequal_list_nat X3) Y))) (= X3 Y))))
% 16.06/16.31 (assume a10934 (forall ((X3 tptp.fun_int_int) (Y tptp.fun_int_int)) (= (tptp.if_fun_int_int tptp.fFalse X3 Y) Y)))
% 16.06/16.31 (assume a10935 (forall ((X3 tptp.fun_int_int) (Y tptp.fun_int_int)) (= (tptp.if_fun_int_int tptp.fTrue X3 Y) X3)))
% 16.06/16.31 (assume a10936 (forall ((X3 tptp.option_nat) (Y tptp.option_nat)) (or (not (= X3 Y)) (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat X3) Y)))))
% 16.06/16.31 (assume a10937 (forall ((X3 tptp.option_nat) (Y tptp.option_nat)) (or (not (tptp.pp (tptp.aa_option_nat_bool (tptp.aa_opt7943525813896274546t_bool tptp.fequal_option_nat X3) Y))) (= X3 Y))))
% 16.06/16.31 (assume a10938 (forall ((X3 tptp.product_prod_int_int) (Y tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.if_Pro3027730157355071871nt_int tptp.fFalse X3) Y) Y)))
% 16.06/16.31 (assume a10939 (forall ((X3 tptp.product_prod_int_int) (Y tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.if_Pro3027730157355071871nt_int tptp.fTrue X3) Y) X3)))
% 16.06/16.31 (assume a10940 (forall ((X3 tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (= (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.if_Pro6206227464963214023at_nat tptp.fFalse) X3) Y) Y)))
% 16.06/16.31 (assume a10941 (forall ((X3 tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (= (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.if_Pro6206227464963214023at_nat tptp.fTrue) X3) Y) X3)))
% 16.06/16.31 (assume a10942 (forall ((X3 tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (or (not (= X3 Y)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool tptp.fequal9188845342289841878at_nat X3) Y)))))
% 16.06/16.31 (assume a10943 (forall ((X3 tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (or (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool tptp.fequal9188845342289841878at_nat X3) Y))) (= X3 Y))))
% 16.06/16.31 (assume a10944 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_VEBT_VEBT_bool) (R tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_bool (tptp.cOMBB_3745307990312268622T_VEBT P Q) R) (tptp.aa_bool_bool P (tptp.aa_VEBT_VEBT_bool Q R)))))
% 16.06/16.31 (assume a10945 (forall ((P tptp.fun_VE2066785035971159626l_bool) (Q tptp.fun_VEBT_VEBT_bool) (R tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_bool (tptp.cOMBS_6222329278419335549l_bool P Q) R) (tptp.aa_bool_bool (tptp.aa_VEB8047906998784800507l_bool P R) (tptp.aa_VEBT_VEBT_bool Q R)))))
% 16.06/16.31 (assume a10946 (forall ((P tptp.bool)) (or (= P tptp.fTrue) (= P tptp.fFalse))))
% 16.06/16.31 (assume a10947 (forall ((X3 tptp.produc8923325533196201883nteger) (Y tptp.produc8923325533196201883nteger)) (= (tptp.if_Pro6119634080678213985nteger tptp.fFalse X3 Y) Y)))
% 16.06/16.31 (assume a10948 (forall ((X3 tptp.produc8923325533196201883nteger) (Y tptp.produc8923325533196201883nteger)) (= (tptp.if_Pro6119634080678213985nteger tptp.fTrue X3 Y) X3)))
% 16.06/16.31 (assume a10949 (forall ((P tptp.fun_fu7168253649841883962l_bool) (Q tptp.fun_VE3763956218935105199t_bool) (R tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_bool (tptp.cOMBB_2885587777813823575T_VEBT P Q) R) (tptp.aa_fun_nat_bool_bool P (tptp.aa_VEB4832260192069861672t_bool Q R)))))
% 16.06/16.31 (assume a10950 (forall ((P tptp.fun_bo1841576699660343469l_bool) (Q tptp.fun_VEBT_VEBT_bool) (R tptp.vEBT_VEBT)) (= (tptp.aa_VEB8047906998784800507l_bool (tptp.cOMBB_3438363824644082366T_VEBT P Q) R) (tptp.aa_boo8970175072276269406l_bool P (tptp.aa_VEBT_VEBT_bool Q R)))))
% 16.06/16.31 (assume a10951 (forall ((P tptp.fun_VE7346385682144900493T_bool) (Q tptp.set_VEBT_VEBT) (R tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_bool (tptp.cOMBC_771164880915498576T_bool P Q) R) (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool P R) Q))))
% 16.06/16.31 (assume a10952 (forall ((X3 tptp.produc3843707927480180839at_nat) (Y tptp.produc3843707927480180839at_nat)) (or (not (= X3 Y)) (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.fequal7949547063978738364at_nat X3) Y)))))
% 16.06/16.31 (assume a10953 (forall ((X3 tptp.produc3843707927480180839at_nat) (Y tptp.produc3843707927480180839at_nat)) (or (not (tptp.pp (tptp.aa_Pro1809015098595223084t_bool (tptp.fequal7949547063978738364at_nat X3) Y))) (= X3 Y))))
% 16.06/16.31 (assume a10954 (not (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))))
% 16.06/16.31 (assume a10955 true)
% 16.06/16.31 (step t1 (cl (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2)) (not (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)))) (not (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) (not (= tptp.summary tptp.summary2)) (not (= tptp.treeList tptp.treeList2))) :rule and_neg)
% 16.06/16.31 (step t2 (cl (=> (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2)) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) :rule implies_neg1)
% 16.06/16.31 (anchor :step t3)
% 16.06/16.31 (assume t3.a0 (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))))
% 16.06/16.31 (assume t3.a1 (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))
% 16.06/16.31 (assume t3.a2 (= tptp.summary tptp.summary2))
% 16.06/16.31 (assume t3.a3 (= tptp.treeList tptp.treeList2))
% 16.06/16.31 (step t3.t1 (cl (=> (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) :rule implies_neg1)
% 16.06/16.31 (anchor :step t3.t2)
% 16.06/16.31 (assume t3.t2.a0 (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))))
% 16.06/16.31 (assume t3.t2.a1 (= tptp.treeList tptp.treeList2))
% 16.06/16.31 (assume t3.t2.a2 (= tptp.summary tptp.summary2))
% 16.06/16.31 (assume t3.t2.a3 (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))
% 16.06/16.31 (step t3.t2.t1 (cl (= (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary) tptp.sa)) :rule symm :premises (t3.t2.a3))
% 16.06/16.31 (step t3.t2.t2 (cl (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) :rule symm :premises (t3.t2.t1))
% 16.06/16.31 (step t3.t2.t3 (cl (= (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.info)) :rule symm :premises (t3.t2.a0))
% 16.06/16.31 (step t3.t2.t4 (cl (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)))) :rule symm :premises (t3.t2.t3))
% 16.06/16.31 (step t3.t2.t5 (cl (= tptp.deg tptp.deg)) :rule refl)
% 16.06/16.31 (step t3.t2.t6 (cl (= tptp.treeList2 tptp.treeList)) :rule symm :premises (t3.t2.a1))
% 16.06/16.31 (step t3.t2.t7 (cl (= tptp.treeList tptp.treeList2)) :rule symm :premises (t3.t2.t6))
% 16.06/16.31 (step t3.t2.t8 (cl (= tptp.summary2 tptp.summary)) :rule symm :premises (t3.t2.a2))
% 16.06/16.31 (step t3.t2.t9 (cl (= tptp.summary tptp.summary2)) :rule symm :premises (t3.t2.t8))
% 16.06/16.31 (step t3.t2.t10 (cl (= (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule cong :premises (t3.t2.t4 t3.t2.t5 t3.t2.t7 t3.t2.t9))
% 16.06/16.31 (step t3.t2.t11 (cl (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule trans :premises (t3.t2.t2 t3.t2.t10))
% 16.06/16.31 (step t3.t2 (cl (not (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)))) (not (= tptp.treeList tptp.treeList2)) (not (= tptp.summary tptp.summary2)) (not (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule subproof :discharge (t3.t2.a0 t3.t2.a1 t3.t2.a2 t3.t2.a3))
% 16.06/16.31 (step t3.t3 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)))) :rule and_pos)
% 16.06/16.31 (step t3.t4 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (= tptp.treeList tptp.treeList2)) :rule and_pos)
% 16.06/16.31 (step t3.t5 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (= tptp.summary tptp.summary2)) :rule and_pos)
% 16.06/16.31 (step t3.t6 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) :rule and_pos)
% 16.06/16.31 (step t3.t7 (cl (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2)) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))))) :rule resolution :premises (t3.t2 t3.t3 t3.t4 t3.t5 t3.t6))
% 16.06/16.31 (step t3.t8 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule reordering :premises (t3.t7))
% 16.06/16.31 (step t3.t9 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule contraction :premises (t3.t8))
% 16.06/16.31 (step t3.t10 (cl (=> (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule resolution :premises (t3.t1 t3.t9))
% 16.06/16.31 (step t3.t11 (cl (=> (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) (not (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2)))) :rule implies_neg2)
% 16.06/16.31 (step t3.t12 (cl (=> (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) (=> (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2)))) :rule resolution :premises (t3.t10 t3.t11))
% 16.06/16.31 (step t3.t13 (cl (=> (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2)))) :rule contraction :premises (t3.t12))
% 16.06/16.31 (step t3.t14 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule implies :premises (t3.t13))
% 16.06/16.31 (step t3.t15 (cl (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) (not (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)))) (not (= tptp.treeList tptp.treeList2)) (not (= tptp.summary tptp.summary2)) (not (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) :rule and_neg)
% 16.06/16.31 (step t3.t16 (cl (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.treeList tptp.treeList2) (= tptp.summary tptp.summary2) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) :rule resolution :premises (t3.t15 t3.a0 t3.a3 t3.a2 t3.a1))
% 16.06/16.31 (step t3.t17 (cl (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule resolution :premises (t3.t14 t3.t16))
% 16.06/16.31 (step t3 (cl (not (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)))) (not (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) (not (= tptp.summary tptp.summary2)) (not (= tptp.treeList tptp.treeList2)) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule subproof :discharge (t3.a0 t3.a1 t3.a2 t3.a3))
% 16.06/16.31 (step t4 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)))) :rule and_pos)
% 16.06/16.31 (step t5 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) :rule and_pos)
% 16.06/16.31 (step t6 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (= tptp.summary tptp.summary2)) :rule and_pos)
% 16.06/16.31 (step t7 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (= tptp.treeList tptp.treeList2)) :rule and_pos)
% 16.06/16.31 (step t8 (cl (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2)) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2)))) :rule resolution :premises (t3 t4 t5 t6 t7))
% 16.06/16.31 (step t9 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule reordering :premises (t8))
% 16.06/16.31 (step t10 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule contraction :premises (t9))
% 16.06/16.31 (step t11 (cl (=> (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2)) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule resolution :premises (t2 t10))
% 16.06/16.31 (step t12 (cl (=> (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2)) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) (not (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2)))) :rule implies_neg2)
% 16.06/16.31 (step t13 (cl (=> (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2)) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) (=> (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2)) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2)))) :rule resolution :premises (t11 t12))
% 16.06/16.31 (step t14 (cl (=> (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2)) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2)))) :rule contraction :premises (t13))
% 16.06/16.31 (step t15 (cl (not (and (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma))) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.summary tptp.summary2) (= tptp.treeList tptp.treeList2))) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule implies :premises (t14))
% 16.06/16.31 (step t16 (cl (not (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)))) (not (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) (not (= tptp.summary tptp.summary2)) (not (= tptp.treeList tptp.treeList2)) (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2))) :rule resolution :premises (t1 t15))
% 16.06/16.31 (step t17 (cl (= tptp.sa (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList2 tptp.summary2)) (not (= tptp.summary tptp.summary2)) (not (= tptp.info (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)))) (not (= tptp.treeList tptp.treeList2)) (not (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) :rule reordering :premises (t16))
% 16.06/16.31 (step t18 (cl (not (= (and (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)) (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m)) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) tptp.na))))) (and (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)) (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m)) (forall ((X tptp.vEBT_VEBT)) (or (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) tptp.na))))))) (not (and (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)) (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m)) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) tptp.na)))))) (and (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)) (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m)) (forall ((X tptp.vEBT_VEBT)) (or (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) tptp.na)))))) :rule equiv_pos2)
% 16.06/16.31 (step t19 (cl (= (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)))) :rule refl)
% 16.06/16.31 (step t20 (cl (= (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)) (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)))) :rule refl)
% 16.06/16.31 (step t21 (cl (= (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)) (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)))) :rule refl)
% 16.06/16.31 (step t22 (cl (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m)))) :rule refl)
% 16.06/16.31 (step t23 (cl (= (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) tptp.na)))) (forall ((X tptp.vEBT_VEBT)) (or (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) tptp.na)))))) :rule all_simplify)
% 16.06/16.31 (step t24 (cl (= (and (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)) (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m)) (forall ((X tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) tptp.na))))) (and (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)) (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m)) (forall ((X tptp.vEBT_VEBT)) (or (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) tptp.na))))))) :rule cong :premises (t19 t20 t21 t22 t23))
% 16.06/16.31 (step t25 (cl (and (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary)) (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)) (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m)) (forall ((X tptp.vEBT_VEBT)) (or (not (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 tptp.treeList)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X) tptp.na)))))) :rule resolution :premises (t18 t24 a737))
% 16.06/16.31 (step t26 (cl (= tptp.sa (tptp.vEBT_Node tptp.info tptp.deg tptp.treeList tptp.summary))) :rule and :premises (t25))
% 16.06/16.31 (step t27 (cl (= tptp.treeList tptp.treeList2)) :rule symm :premises (a9))
% 16.06/16.31 (step t28 (cl (= tptp.summary tptp.summary2)) :rule symm :premises (a0))
% 16.12/16.33 (step t29 (cl) :rule resolution :premises (t17 a10954 t26 t27 a2 t28))
% 16.12/16.33
% 16.12/16.33 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.nnHgE5m3rT/cvc5---1.0.5_5859.smt2
% 16.12/16.33 % cvc5---1.0.5 exiting
% 16.12/16.34 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------