TSTP Solution File: ITP296_1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 : Thu Aug 31 03:33:20 EDT 2023
% Result : Theorem 0.63s 0.92s
% Output : Proof 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.22 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.24 % Command : do_cvc5 %s %d
% 0.23/0.45 % Computer : n003.cluster.edu
% 0.23/0.45 % Model : x86_64 x86_64
% 0.23/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.45 % Memory : 8042.1875MB
% 0.23/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.23/0.45 % CPULimit : 300
% 0.23/0.45 % WCLimit : 300
% 0.23/0.45 % DateTime : Sun Aug 27 15:19:40 EDT 2023
% 0.23/0.45 % CPUTime :
% 0.29/0.72 %----Proving TF0_ARI
% 0.63/0.92 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.80k3KodPv4/cvc5---1.0.5_26686.p...
% 0.63/0.92 ------- get file name : TPTP file name is ITP001_1
% 0.63/0.92 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26686.smt2...
% 0.63/0.92 --- Run --finite-model-find --decision=internal at 15...
% 0.63/0.92 % SZS status Theorem for ITP001_1
% 0.63/0.92 % SZS output start Proof for ITP001_1
% 0.63/0.92 (
% 0.63/0.92 (let ((_let_1 (|tptp.'comp$a'| |tptp.'suc$'| |tptp.'suc$'|))) (let ((_let_2 (|tptp.'elem$'| |tptp.'empty$'|))) (let ((_let_3 (|tptp.'image$'| |tptp.'explode$'| |tptp.'top$'|))) (let ((_let_4 (|tptp.'fun_app$f'| |tptp.'f$'| |tptp.'y$'|))) (let ((_let_5 (|tptp.'fun_app$c'| (|tptp.'member$a'| |tptp.'y$'|) |tptp.'a$'|))) (let ((_let_6 (|tptp.'fun_app$e'| |tptp.'implode$'| _let_4))) (let ((_let_7 (not (and _let_5 (= _let_6 _let_6))))) (SCOPE (SCOPE (CONTRA (ASSUME :args (_let_5)) (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)))) :args ((forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod$'|)) (= (|tptp.'fun_app$'| (|tptp.'uub$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'uu$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'uua$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) A__questionmark_v0))) _let_7 _let_5 (|tptp.'fun_app$c'| (|tptp.'member$a'| |tptp.'x$'|) _let_4) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) |tptp.'a$'|) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$f'| |tptp.'f$'| A__questionmark_v0)) (|tptp.'image$'| |tptp.'explode$'| |tptp.'top$'|)))) (|tptp.'fun_app$d'| (|tptp.'member$b'| |tptp.'a$'|) _let_3) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$e'| |tptp.'implode$'| (|tptp.'fun_app$f'| |tptp.'explode$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$g'| (|tptp.'ext_ZF$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$e'| |tptp.'implode$'| (|tptp.'fun_app$f'| (|tptp.'ext$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_zet$'|)) (= (|tptp.'zimplode$'| A__questionmark_v0) (|tptp.'fun_app$e'| |tptp.'implode$'| (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_zet$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|)) (= (= (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_zet$'|)) (exists ((A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v0) (|tptp.'fun_app$f'| |tptp.'explode$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (not (= |tptp.'top$'| (|tptp.'fun_app$f'| |tptp.'explode$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| |tptp.'set_like$'| A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$f'| (|tptp.'ext$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'image$'| |tptp.'explode$'| |tptp.'top$'|))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) |tptp.'top$a'|)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|)) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) |tptp.'top$b'|)) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (|tptp.'member$c'| A__questionmark_v0 |tptp.'top$c'|)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) |tptp.'top$a'|) true)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|)) (= (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) |tptp.'top$b'|) true)) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) |tptp.'top$'|) true)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'member$c'| A__questionmark_v0 |tptp.'top$c'|) true)) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'image$c'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$d'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'image$e'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$p'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$g'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$q'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v1) A__questionmark_v3)))) (= (|tptp.'ext$'| |tptp.'is_Elem_of$'|) |tptp.'explode$'|) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (= A__questionmark_v1 (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (= (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (= A__questionmark_v1 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (= (|tptp.'image$i'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$c'|) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (= A__questionmark_v1 (|tptp.'fun_app$s'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (= (|tptp.'image$j'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$'|) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (= A__questionmark_v1 (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (= (|tptp.'image$k'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (= A__questionmark_v1 (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (and (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (= (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'ZF_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (= (|tptp.'image$i'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$c'|) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$s'| A__questionmark_v0 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (= (|tptp.'image$j'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$'|) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (= (|tptp.'image$k'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (= (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'ZF_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_ZF_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$s'| A__questionmark_v0 (|tptp.'fun_app$t'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (= (|tptp.'image$i'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$c'|))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_nat_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$t'| A__questionmark_v0 (|tptp.'fun_app$s'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (= (|tptp.'image$j'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$u'| A__questionmark_v0 (|tptp.'fun_app$u'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (= (|tptp.'image$k'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v0) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'image$j'| A__questionmark_v0 |tptp.'top$c'|))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'image$l'| A__questionmark_v0 |tptp.'top$c'|))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$w'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'image$m'| A__questionmark_v0 |tptp.'top$c'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|)) (= (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (forall ((A__questionmark_v1 |tptp.'ZF_set$'|)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (= A__questionmark_v1 (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|)) (= (= (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (= A__questionmark_v1 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'ZF_nat_fun$'|)) (= (= (|tptp.'image$i'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$c'|) (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (= A__questionmark_v1 (|tptp.'fun_app$s'| A__questionmark_v0 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_fun$'|)) (= (= (|tptp.'image$j'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$'|) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (= A__questionmark_v1 (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (= (= (|tptp.'image$k'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|) (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (= A__questionmark_v1 (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) |tptp.'top$'|)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$'| A__questionmark_v1 |tptp.'top$'|)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v1) |tptp.'top$'|)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$t'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'image$j'| A__questionmark_v1 |tptp.'top$c'|)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'Nat_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$l'| A__questionmark_v1 |tptp.'top$c'|)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'Nat_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$w'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'image$m'| A__questionmark_v1 |tptp.'top$c'|)))) (|tptp.'fun_app$a'| |tptp.'set_like$'| |tptp.'is_Elem_of$'|) (= |tptp.'top$'| (|tptp.'collect$'| |tptp.'top$d'|)) (= |tptp.'top$c'| (|tptp.'collect$a'| |tptp.'top$e'|)) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v2 (|tptp.'fun_app$g'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v3) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_set_fun$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v2 (|tptp.'fun_app$f'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'image$'| A__questionmark_v3 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v3 |tptp.'ZF_ZF_ZF_prod_fun$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v2 (|tptp.'fun_app$j'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v2) (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v3) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF_set_ZF_fun$'|)) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v2 (|tptp.'fun_app$e'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v2) (|tptp.'fun_app$l'| (|tptp.'image$c'| A__questionmark_v3) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set_ZF_set_fun$'|)) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v2 (|tptp.'fun_app$i'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'image$d'| A__questionmark_v3 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v3 |tptp.'ZF_set_ZF_ZF_prod_fun$'|)) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v2 (|tptp.'fun_app$m'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v2) (|tptp.'image$e'| A__questionmark_v3 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_ZF_fun$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v2 (|tptp.'fun_app$n'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v2) (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v3) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_ZF_set_fun$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v2 (|tptp.'fun_app$p'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'image$g'| A__questionmark_v3 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v2 (|tptp.'fun_app$q'| A__questionmark_v3 A__questionmark_v0))) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v3) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_bool_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v2 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_bool_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) (|tptp.'fun_app$l'| (|tptp.'image$c'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v2 (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_bool_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v2 (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set_bool_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v2 (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_bool_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) (|tptp.'image$d'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v2 (|tptp.'fun_app$i'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_set_bool_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) (|tptp.'image$g'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v2 (|tptp.'fun_app$p'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_bool_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_bool_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_bool_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (|tptp.'fun_app$q'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_set_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v4) A__questionmark_v1) (= (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$f'| A__questionmark_v3 A__questionmark_v4))))) (= (|tptp.'image$'| A__questionmark_v2 A__questionmark_v0) (|tptp.'image$'| A__questionmark_v3 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v4) A__questionmark_v1) (= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$g'| A__questionmark_v3 A__questionmark_v4))))) (= (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v3) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_bool_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v2 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_bool_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) (|tptp.'fun_app$l'| (|tptp.'image$c'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v2 (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_bool_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v2 (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set_bool_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v2 (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_bool_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) (|tptp.'image$d'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v2 (|tptp.'fun_app$i'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_set_bool_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) (|tptp.'image$g'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v2 (|tptp.'fun_app$p'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_bool_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_bool_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_bool_fun$'|)) (=> (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 (|tptp.'fun_app$q'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'image$c'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (= (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$d'| A__questionmark_v1 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$g'| A__questionmark_v1 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$p'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'image$e'| A__questionmark_v1 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$q'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_set_fun$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'image$'| A__questionmark_v2 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_ZF_prod_fun$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$j'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_ZF_fun$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$e'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'fun_app$l'| (|tptp.'image$c'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_ZF_set_fun$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'image$d'| A__questionmark_v2 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_ZF_ZF_prod_fun$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'image$e'| A__questionmark_v2 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_ZF_fun$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$n'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_ZF_set_fun$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'image$g'| A__questionmark_v2 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$q'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v2) A__questionmark_v1)))) (exists ((A__questionmark_v0 |tptp.'ZF_set$'|)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) |tptp.'top$a'|)) (exists ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|)) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) |tptp.'top$b'|)) (exists ((A__questionmark_v0 |tptp.'ZF$'|)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) |tptp.'top$'|)) (exists ((A__questionmark_v0 |tptp.'Nat$'|)) (|tptp.'member$c'| A__questionmark_v0 |tptp.'top$c'|)) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'ZF_set$'|)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) A__questionmark_v0)) (= |tptp.'top$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'ZF_ZF_prod$'|)) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v1) A__questionmark_v0)) (= |tptp.'top$b'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v1) A__questionmark_v0)) (= |tptp.'top$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (|tptp.'member$c'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$c'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|)) (let ((_let_1 (|tptp.'image$'| |tptp.'explode$'| |tptp.'top$'|))) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) _let_1) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v0)) _let_1)))) (= _let_3 |tptp.'zet$'|) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$'| |tptp.'explode$'| |tptp.'top$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$e'| |tptp.'implode$'| A__questionmark_v0)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v1) A__questionmark_v0)))) (|tptp.'fun_app$a'| |tptp.'regular$'| |tptp.'is_Elem_of$'|) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'image$'| |tptp.'explode$'| |tptp.'top$'|))) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) _let_1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'zimplode$'| (|tptp.'zexplode$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_zet$'|)) (= (|tptp.'zexplode$'| (|tptp.'zimplode$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|)) (= (|tptp.'rep_zet$a'| (|tptp.'zimage$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'image$'| A__questionmark_v0 (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|)) (= (|tptp.'fun_app$h'| |tptp.'rep_zet$'| (|tptp.'zimage$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v1)))) (= |tptp.'implode$'| (|tptp.'inv_into$'| |tptp.'top$'| |tptp.'explode$'|)) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|)) (=> (and (|tptp.'strict_mono$'| A__questionmark_v0) (= (|tptp.'image$k'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$u'| A__questionmark_v1 (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (|tptp.'strict_mono$'| A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| |tptp.'top$f'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|)) (= (|tptp.'fun_app$'| |tptp.'top$g'| A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| |tptp.'top$d'| A__questionmark_v0) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'fun_app$x'| |tptp.'top$e'| A__questionmark_v0) (|tptp.'member$c'| A__questionmark_v0 |tptp.'top$c'|))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v4 |tptp.'ZF_set_set_ZF_set_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v5) A__questionmark_v1) (= (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v5) (|tptp.'fun_app$f'| A__questionmark_v3 A__questionmark_v5))))) (= (|tptp.'fun_app$l'| A__questionmark_v4 (|tptp.'image$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'fun_app$l'| A__questionmark_v4 (|tptp.'image$'| A__questionmark_v3 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_set_ZF_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v5) A__questionmark_v1) (= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v5) (|tptp.'fun_app$g'| A__questionmark_v3 A__questionmark_v5))))) (= (|tptp.'fun_app$e'| A__questionmark_v4 (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$e'| A__questionmark_v4 (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v3) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (<= A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_bool_fun$'|)) (= (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'collect$'| A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_bool_fun$'|)) (= (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'collect$b'| A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_bool_fun$'|)) (= (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'collect$c'| A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (= (|tptp.'collect$'| (|tptp.'uu$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|)) (= (|tptp.'collect$b'| (|tptp.'uua$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'collect$c'| (|tptp.'uub$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (<= A__questionmark_v0 A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'member$b'| A__questionmark_v2))) (=> (|tptp.'fun_app$d'| _let_1 A__questionmark_v0) (|tptp.'fun_app$d'| _let_1 A__questionmark_v1)))) (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'member$a'| A__questionmark_v2))) (=> (|tptp.'fun_app$c'| _let_1 A__questionmark_v0) (|tptp.'fun_app$c'| _let_1 A__questionmark_v1)))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF_ZF_prod$'|)) (let ((_let_1 (|tptp.'member$'| A__questionmark_v2))) (=> (|tptp.'fun_app$a'| _let_1 A__questionmark_v0) (|tptp.'fun_app$a'| _let_1 A__questionmark_v1)))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v0) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (= (<= A__questionmark_v1 A__questionmark_v0) (= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (=> (<= A__questionmark_v0 A__questionmark_v1) false) (=> (<= A__questionmark_v1 A__questionmark_v0) false)) false)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_set$'|) (A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v0)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set_ZF_ZF_prod_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_set$'|) (A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v0)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$y'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_set$'|) (A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v5) (<= (|tptp.'fun_app$y'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$y'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$y'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set_ZF_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$o'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v5 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$o'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$o'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$o'| A__questionmark_v2 A__questionmark_v0)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set_ZF_ZF_prod_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v5 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v0)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$z'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v5 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v5) (<= (|tptp.'fun_app$z'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$z'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$z'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_ZF_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$aa'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$aa'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$aa'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$aa'| A__questionmark_v2 A__questionmark_v0)) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_ZF_ZF_prod_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$ab'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$ab'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$ab'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$ab'| A__questionmark_v2 A__questionmark_v0)) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$ac'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$ac'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$ac'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$ac'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_set$'|) (A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_ZF_prod_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_set$'|) (A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'ZF_set_int_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$y'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_set$'|) (A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v5) (<= (|tptp.'fun_app$y'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$y'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$y'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v5 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set_ZF_ZF_prod_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v5 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set_int_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$z'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v5 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v5) (<= (|tptp.'fun_app$z'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$z'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$z'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'Int_ZF_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$aa'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$aa'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$aa'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$aa'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'Int_ZF_ZF_prod_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$ac'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$ac'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$ac'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$ac'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (or (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v1)) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_set$'|) (A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v2 A__questionmark_v0)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set_ZF_ZF_prod_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v1)) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_set$'|) (A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v0)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (<= (|tptp.'fun_app$y'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_set$'|) (A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v5) (<= (|tptp.'fun_app$y'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$y'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$y'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set_ZF_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$o'| A__questionmark_v2 A__questionmark_v1)) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v5 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$o'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$o'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$o'| A__questionmark_v2 A__questionmark_v0)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set_ZF_ZF_prod_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v1)) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v5 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v0)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (<= (|tptp.'fun_app$z'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v5 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v5) (<= (|tptp.'fun_app$z'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$z'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$z'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_ZF_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$aa'| A__questionmark_v2 A__questionmark_v1)) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$aa'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$aa'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$aa'| A__questionmark_v2 A__questionmark_v0)) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_ZF_ZF_prod_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$ab'| A__questionmark_v2 A__questionmark_v1)) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$ab'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$ab'| A__questionmark_v2 A__questionmark_v5))))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$ab'| A__questionmark_v2 A__questionmark_v0)) A__questionmark_v3))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 |tptp.'Int_int_fun$'|) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= (|tptp.'fun_app$ac'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$ac'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$ac'| A__questionmark_v2 A__questionmark_v5))))) (<= (|tptp.'fun_app$ac'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'less_eq$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_set$'|) (A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'less_eq$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v5 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'Int_ZF_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (let ((_let_1 (|tptp.'less_eq$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$aa'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$aa'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$aa'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$aa'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_ZF_prod_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'less_eq$a'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_set$'|) (A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set_ZF_ZF_prod_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'less_eq$a'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v5 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v5) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'Int_ZF_ZF_prod_set_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (let ((_let_1 (|tptp.'less_eq$a'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v5))))) (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'ZF_set_int_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (<= A__questionmark_v0 (|tptp.'fun_app$y'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_set$'|) (A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v5) (<= (|tptp.'fun_app$y'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$y'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$y'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set_int_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (<= A__questionmark_v0 (|tptp.'fun_app$z'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v5 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v5) (<= (|tptp.'fun_app$z'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$z'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$z'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 |tptp.'Int_int_fun$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 (|tptp.'fun_app$ac'| A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v2 A__questionmark_v3) (forall ((A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (<= A__questionmark_v4 A__questionmark_v5) (<= (|tptp.'fun_app$ac'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$ac'| A__questionmark_v1 A__questionmark_v5))))) (<= A__questionmark_v0 (|tptp.'fun_app$ac'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_bool_fun$'|) (A__questionmark_v1 |tptp.'ZF_bool_fun$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'collect$'| A__questionmark_v0)) (|tptp.'collect$'| A__questionmark_v1)) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_bool_fun$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'collect$c'| A__questionmark_v0)) (|tptp.'collect$c'| A__questionmark_v1)) (forall ((A__questionmark_v2 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'less_eq$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$c'| _let_1 A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$c'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'less_eq$a'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$a'| _let_1 A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$a'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_bool_fun$'|) (A__questionmark_v1 |tptp.'ZF_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'collect$'| A__questionmark_v0)) (|tptp.'collect$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'collect$c'| A__questionmark_v0)) (|tptp.'collect$c'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|)) (= (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'member$b'| A__questionmark_v2))) (=> (|tptp.'fun_app$d'| _let_1 A__questionmark_v0) (|tptp.'fun_app$d'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'member$a'| A__questionmark_v2))) (=> (|tptp.'fun_app$c'| _let_1 A__questionmark_v0) (|tptp.'fun_app$c'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF_ZF_prod$'|)) (let ((_let_1 (|tptp.'member$'| A__questionmark_v2))) (=> (|tptp.'fun_app$a'| _let_1 A__questionmark_v0) (|tptp.'fun_app$a'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|)) (= (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'member$b'| A__questionmark_v2))) (=> (|tptp.'fun_app$d'| _let_1 A__questionmark_v0) (|tptp.'fun_app$d'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'member$a'| A__questionmark_v2))) (=> (|tptp.'fun_app$c'| _let_1 A__questionmark_v0) (|tptp.'fun_app$c'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF_ZF_prod$'|)) (let ((_let_1 (|tptp.'member$'| A__questionmark_v2))) (=> (|tptp.'fun_app$a'| _let_1 A__questionmark_v0) (|tptp.'fun_app$a'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v0)) false)) false)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0)) false)) false)) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'member$b'| A__questionmark_v2))) (=> (and (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$d'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'member$a'| A__questionmark_v2))) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$c'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod$'|)) (let ((_let_1 (|tptp.'member$'| A__questionmark_v2))) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$a'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'member$b'| A__questionmark_v2))) (=> (and (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$d'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'member$a'| A__questionmark_v2))) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$c'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod$'|)) (let ((_let_1 (|tptp.'member$'| A__questionmark_v2))) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$a'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Int_ZF_set_fun$'|) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (|tptp.'strict_mono$a'| A__questionmark_v0) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v2)) (<= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Int_ZF_ZF_prod_set_fun$'|) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (|tptp.'strict_mono$b'| A__questionmark_v0) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v2)) (<= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Int_int_fun$'|) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (|tptp.'strict_mono$c'| A__questionmark_v0) (= (<= (|tptp.'fun_app$ac'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$ac'| A__questionmark_v0 A__questionmark_v2)) (<= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'strict_mono$'| A__questionmark_v0) (= (|tptp.'fun_app$x'| (|tptp.'fun_app$ad'| |tptp.'less_eq$c'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'fun_app$x'| (|tptp.'fun_app$ad'| |tptp.'less_eq$c'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'less_eq$'| A__questionmark_v2))) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$c'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'less_eq$a'| A__questionmark_v2))) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$a'| _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v2 A__questionmark_v0)) (<= A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v1 A__questionmark_v0) (<= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'strict_mono$'| A__questionmark_v0) (= (= (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Int_int_bool_fun_fun$'|) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int)) (=> (<= A__questionmark_v3 A__questionmark_v4) (|tptp.'fun_app$ae'| (|tptp.'fun_app$af'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int)) (=> (|tptp.'fun_app$ae'| (|tptp.'fun_app$af'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3) (|tptp.'fun_app$ae'| (|tptp.'fun_app$af'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)))) (|tptp.'fun_app$ae'| (|tptp.'fun_app$af'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'less_eq$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$c'| _let_1 A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$c'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'less_eq$a'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$a'| _let_1 A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$a'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'less_eq$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$c'| _let_1 A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$c'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'less_eq$a'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$a'| _let_1 A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$a'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'less_eq$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$c'| _let_1 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'less_eq$a'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$a'| _let_1 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v2)) (<= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (= A__questionmark_v0 A__questionmark_v1) (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (let ((_let_1 (<= A__questionmark_v0 A__questionmark_v1))) (let ((_let_2 (<= A__questionmark_v2 A__questionmark_v0))) (let ((_let_3 (<= A__questionmark_v1 A__questionmark_v2))) (let ((_let_4 (<= A__questionmark_v1 A__questionmark_v0))) (let ((_let_5 (<= A__questionmark_v2 A__questionmark_v1))) (let ((_let_6 (<= A__questionmark_v0 A__questionmark_v2))) (=> (and (=> (and _let_1 _let_3) false) (=> (and _let_4 _let_6) false) (=> (and _let_6 _let_5) false) (=> (and _let_5 _let_4) false) (=> (and _let_3 _let_2) false) (=> (and _let_2 _let_1) false)) false)))))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (not (<= A__questionmark_v0 A__questionmark_v1)) (and (<= A__questionmark_v1 A__questionmark_v0) (not (= A__questionmark_v1 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (not (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_bool_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (not (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v2)) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v3)))) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v2) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v3))) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2)))) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_bool_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (forall ((A__questionmark_v4 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v4))) (=> (and (|tptp.'fun_app$b'| _let_1 A__questionmark_v3) (|tptp.'fun_app$b'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v4)))) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3))) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1) (not (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (not (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v2))) (= (|tptp.'fun_app$b'| _let_1 A__questionmark_v0) (|tptp.'fun_app$b'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$f'| |tptp.'explode$'| A__questionmark_v1)) A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'ext$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$f'| (|tptp.'ext$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_set_fun$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| (|tptp.'image$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'image$'| A__questionmark_v2 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|)) (let ((_let_1 (|tptp.'image$a'| A__questionmark_v2))) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$i'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_ZF_prod_fun$'|)) (let ((_let_1 (|tptp.'image$b'| A__questionmark_v2))) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$k'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_ZF_fun$'|)) (let ((_let_1 (|tptp.'image$f'| A__questionmark_v2))) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$o'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$o'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|)) (let ((_let_1 (|tptp.'image$h'| A__questionmark_v2))) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$r'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2))) (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| (|tptp.'image$'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2))) (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| (|tptp.'image$d'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$p'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2))) (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| (|tptp.'image$g'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$l'| (|tptp.'image$c'| A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$n'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2))) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'image$e'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$q'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| A__questionmark_v0) (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v1) A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v1) A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v1) A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v1) A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v1) A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v1) A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (= (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (= (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| (|tptp.'image$d'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$i'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (= (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| (|tptp.'image$g'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$p'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$l'| (|tptp.'image$c'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'image$e'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$q'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| A__questionmark_v0) (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'image$'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v1) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v1) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v1) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (|tptp.'less_eq$d'| A__questionmark_v0 |tptp.'top$c'|)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) |tptp.'top$b'|)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (= (|tptp.'less_eq$d'| |tptp.'top$c'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$c'|))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| |tptp.'top$'|) A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| |tptp.'top$b'|) A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (=> (|tptp.'less_eq$d'| |tptp.'top$c'| A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$c'|))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| |tptp.'top$'|) A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| |tptp.'top$b'|) A__questionmark_v0) (= A__questionmark_v0 |tptp.'top$b'|))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (|tptp.'less_eq$d'| A__questionmark_v0 |tptp.'top$c'|)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) |tptp.'top$b'|)) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$f'| |tptp.'explode$'| A__questionmark_v1)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) |tptp.'zet$'|) (|tptp.'member$d'| (|tptp.'image$'| A__questionmark_v1 A__questionmark_v0) |tptp.'zet$a'|))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) |tptp.'zet$'|) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v0)) |tptp.'zet$'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|)) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| (|tptp.'image$l'| A__questionmark_v0 |tptp.'top$c'|)) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) |tptp.'top$'|)) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'image$j'| A__questionmark_v0 |tptp.'top$c'|)) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v0) |tptp.'top$'|)) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'image$m'| A__questionmark_v0 |tptp.'top$c'|)) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$w'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$f'| |tptp.'explode$'| A__questionmark_v0)) |tptp.'zet$'|)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) |tptp.'zet$'|) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$f'| |tptp.'explode$'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_zet$'|)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v0)) |tptp.'zet$'|)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) |tptp.'zet$'|) (forall ((A__questionmark_v1 |tptp.'ZF_zet$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v1)) false))) false)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_bool_fun$'|)) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) |tptp.'zet$'|) (forall ((A__questionmark_v2 |tptp.'ZF_zet$'|)) (|tptp.'fun_app$c'| A__questionmark_v1 (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v2)))) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v4 |tptp.'ZF_set_set_ZF_set_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v5) A__questionmark_v1) (= (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v5) (|tptp.'fun_app$f'| A__questionmark_v3 A__questionmark_v5))))) (= (|tptp.'fun_app$l'| A__questionmark_v4 (|tptp.'image$'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'fun_app$l'| A__questionmark_v4 (|tptp.'image$'| A__questionmark_v3 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_set_ZF_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v5 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v5) A__questionmark_v1) (= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v5) (|tptp.'fun_app$g'| A__questionmark_v3 A__questionmark_v5))))) (= (|tptp.'fun_app$e'| A__questionmark_v4 (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$e'| A__questionmark_v4 (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v3) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (= (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (= (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$g'| (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (= (|tptp.'image$i'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$c'|) (= (|tptp.'fun_app$s'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (= (|tptp.'image$j'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$'|) (= (|tptp.'fun_app$t'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'inv_into$c'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (= (|tptp.'image$k'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|) (= (|tptp.'fun_app$u'| A__questionmark_v0 (|tptp.'fun_app$u'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|)) (= (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (forall ((A__questionmark_v1 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|)) (= (= (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$g'| (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_nat_fun$'|)) (= (= (|tptp.'image$i'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$c'|) (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (= (|tptp.'fun_app$s'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_fun$'|)) (= (= (|tptp.'image$j'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$'|) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$t'| A__questionmark_v0 (|tptp.'fun_app$s'| (|tptp.'inv_into$c'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (= (= (|tptp.'image$k'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|) (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (= (|tptp.'fun_app$u'| A__questionmark_v0 (|tptp.'fun_app$u'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'image$c'| A__questionmark_v0))) (=> (= (|tptp.'fun_app$l'| _let_1 |tptp.'top$a'|) |tptp.'top$'|) (= (|tptp.'fun_app$l'| _let_1 (|tptp.'image$'| (|tptp.'inv_into$e'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|)) (=> (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (= (|tptp.'image$'| A__questionmark_v0 (|tptp.'fun_app$l'| (|tptp.'image$c'| (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0)) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'image$a'| A__questionmark_v0))) (=> (= (|tptp.'fun_app$i'| _let_1 |tptp.'top$'|) |tptp.'top$'|) (= (|tptp.'fun_app$i'| _let_1 (|tptp.'fun_app$i'| (|tptp.'image$a'| (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0)) A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (= (|tptp.'image$i'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$c'|) (= (|tptp.'image$i'| A__questionmark_v0 (|tptp.'image$j'| (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (= (|tptp.'image$j'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$'|) (= (|tptp.'image$j'| A__questionmark_v0 (|tptp.'image$i'| (|tptp.'inv_into$c'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (=> (= (|tptp.'image$k'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|) (= (|tptp.'image$k'| A__questionmark_v0 (|tptp.'image$k'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_fun$'|)) (=> (and (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$a'|) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$e'| A__questionmark_v1 (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|)) (=> (and (= (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$g'| A__questionmark_v1 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_ZF_fun$'|)) (=> (and (= (|tptp.'image$i'| A__questionmark_v0 |tptp.'top$'|) |tptp.'top$c'|) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$t'| A__questionmark_v1 (|tptp.'fun_app$s'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$b'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_nat_fun$'|)) (=> (and (= (|tptp.'image$j'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$'|) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$s'| A__questionmark_v1 (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$c'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_nat_fun$'|)) (=> (and (= (|tptp.'image$k'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$u'| A__questionmark_v1 (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|) (A__questionmark_v3 |tptp.'ZF_set_set$'|)) (=> (and (= (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| A__questionmark_v3) A__questionmark_v2)) (= (|tptp.'image$'| A__questionmark_v0 (|tptp.'fun_app$l'| (|tptp.'image$c'| (|tptp.'inv_into$'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v3)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'image$c'| A__questionmark_v0))) (=> (and (= (|tptp.'fun_app$l'| _let_1 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v2)) (= (|tptp.'fun_app$l'| _let_1 (|tptp.'image$'| (|tptp.'inv_into$e'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v3)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'image$a'| A__questionmark_v0))) (=> (and (= (|tptp.'fun_app$i'| _let_1 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v2)) (= (|tptp.'fun_app$i'| _let_1 (|tptp.'fun_app$i'| (|tptp.'image$a'| (|tptp.'inv_into$a'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v3)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v1 |tptp.'Nat_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (= (|tptp.'image$j'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v2)) (= (|tptp.'image$j'| A__questionmark_v0 (|tptp.'image$i'| (|tptp.'inv_into$c'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v3)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|)) (=> (and (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$f'| A__questionmark_v1 (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$'| |tptp.'top$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat_ZF_fun$'|)) (=> (and (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$s'| A__questionmark_v0 (|tptp.'fun_app$t'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$t'| A__questionmark_v1 (|tptp.'fun_app$s'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$c'| |tptp.'top$c'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$g'| A__questionmark_v1 (|tptp.'fun_app$g'| (|tptp.'inv_into$a'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'fun_app$f'| A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'inv_into$'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v2 |tptp.'Nat_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'image$j'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'fun_app$t'| A__questionmark_v1 (|tptp.'fun_app$s'| (|tptp.'inv_into$c'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$g'| (|tptp.'inv_into$a'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'image$c'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$f'| (|tptp.'inv_into$e'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$j'| (|tptp.'inv_into$f'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$i'| (|tptp.'inv_into$g'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$g'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$m'| (|tptp.'inv_into$h'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$n'| (|tptp.'inv_into$i'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'image$e'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$p'| (|tptp.'inv_into$j'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$q'| (|tptp.'inv_into$k'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$c'| (|tptp.'member$a'| (|tptp.'fun_app$e'| (|tptp.'inv_into$'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v2 |tptp.'Nat_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'image$j'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$c'| (|tptp.'fun_app$s'| (|tptp.'inv_into$c'| A__questionmark_v2 A__questionmark_v1) A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v0))) (let ((_let_2 (|tptp.'inv_into$a'| A__questionmark_v0 A__questionmark_v1))) (=> (and (= (|tptp.'fun_app$g'| _let_2 A__questionmark_v2) (|tptp.'fun_app$g'| _let_2 A__questionmark_v3)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v2) _let_1) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) _let_1)) (= A__questionmark_v2 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'image$'| A__questionmark_v1 A__questionmark_v0))) (let ((_let_2 (|tptp.'inv_into$'| A__questionmark_v0 A__questionmark_v1))) (=> (and (= (|tptp.'fun_app$e'| _let_2 A__questionmark_v2) (|tptp.'fun_app$e'| _let_2 A__questionmark_v3)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) _let_1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) _let_1)) (= A__questionmark_v2 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'image$j'| A__questionmark_v1 A__questionmark_v0))) (let ((_let_2 (|tptp.'inv_into$c'| A__questionmark_v0 A__questionmark_v1))) (=> (and (= (|tptp.'fun_app$s'| _let_2 A__questionmark_v2) (|tptp.'fun_app$s'| _let_2 A__questionmark_v3)) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v2) _let_1) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) _let_1)) (= A__questionmark_v2 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set_set_bool_fun$'|)) (= (forall ((A__questionmark_v3 |tptp.'ZF_set_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'less_eq$b'| A__questionmark_v3) (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$d'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$d'| A__questionmark_v2 (|tptp.'image$'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set_bool_fun$'|)) (= (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v2 (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_set_bool_fun$'|)) (= (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v2 (|tptp.'fun_app$o'| (|tptp.'image$f'| A__questionmark_v0) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set_bool_fun$'|)) (= (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v3) (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$a'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$a'| A__questionmark_v2 (|tptp.'fun_app$k'| (|tptp.'image$b'| A__questionmark_v0) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_ZF_ZF_prod_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set_bool_fun$'|)) (= (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$a'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$a'| A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'image$h'| A__questionmark_v0) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| |tptp.'set_like$'| A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$a'| |tptp.'set_like$'| A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (=> (|tptp.'strict_mono$'| A__questionmark_v0) (|tptp.'strict_mono_on$'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) (|tptp.'image$k'| A__questionmark_v0 |tptp.'top$c'|)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|)) (= (|tptp.'zimage$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'abs_zet$'| (|tptp.'image$'| A__questionmark_v0 (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|)) (= (|tptp.'zimage$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$ag'| |tptp.'abs_zet$a'| (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|)) (= (|tptp.'zimage$a'| A__questionmark_v0 |tptp.'zempty$'|) |tptp.'zempty$'|)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| |tptp.'wfzf$'| A__questionmark_v0) (and (|tptp.'fun_app$a'| |tptp.'regular$'| A__questionmark_v0) (|tptp.'fun_app$a'| |tptp.'set_like$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|)) (= (|tptp.'fun_app$f'| |tptp.'explode$'| (|tptp.'repl$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) (|tptp.'fun_app$f'| |tptp.'explode$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'zexplode$'| A__questionmark_v0) (|tptp.'fun_app$ag'| |tptp.'abs_zet$a'| (|tptp.'fun_app$f'| |tptp.'explode$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| |tptp.'wfzf$'| A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$a'| |tptp.'wfzf$'| A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'repl$'| A__questionmark_v1 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v1) (= A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'Int_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'Int_set$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'strict_mono_on$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$e'| A__questionmark_v2 A__questionmark_v1) (|tptp.'member$e'| A__questionmark_v3 A__questionmark_v1) (<= A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Int_ZF_ZF_prod_set_fun$'|) (A__questionmark_v1 |tptp.'Int_set$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'strict_mono_on$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$e'| A__questionmark_v2 A__questionmark_v1) (|tptp.'member$e'| A__questionmark_v3 A__questionmark_v1) (<= A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Int_int_fun$'|) (A__questionmark_v1 |tptp.'Int_set$'|) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (|tptp.'strict_mono_on$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$e'| A__questionmark_v2 A__questionmark_v1) (|tptp.'member$e'| A__questionmark_v3 A__questionmark_v1) (<= A__questionmark_v2 A__questionmark_v3)) (<= (|tptp.'fun_app$ac'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$ac'| A__questionmark_v0 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'zimage$a'| A__questionmark_v0 (|tptp.'zexplode$'| A__questionmark_v1)) (|tptp.'zexplode$'| (|tptp.'repl$'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_zet$'|)) (= (|tptp.'fun_app$ag'| |tptp.'abs_zet$a'| (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) |tptp.'zet$'|) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) |tptp.'zet$'|)) (= (= (|tptp.'fun_app$ag'| |tptp.'abs_zet$a'| A__questionmark_v0) (|tptp.'fun_app$ag'| |tptp.'abs_zet$a'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_zet_bool_fun$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) |tptp.'zet$'|) (|tptp.'fun_app$ah'| A__questionmark_v0 (|tptp.'fun_app$ag'| |tptp.'abs_zet$a'| A__questionmark_v2)))) (|tptp.'fun_app$ah'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_zet$'|)) (=> (forall ((A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$ag'| |tptp.'abs_zet$a'| A__questionmark_v1)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) |tptp.'zet$'|)) false)) false)) (|tptp.'fun_app$a'| |tptp.'wfzf$'| |tptp.'is_Elem_of$'|) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) |tptp.'zet$'|) (= (|tptp.'fun_app$h'| |tptp.'rep_zet$'| (|tptp.'fun_app$ag'| |tptp.'abs_zet$a'| A__questionmark_v0)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'zimplode$'| A__questionmark_v1)) (|tptp.'fun_app$ah'| (|tptp.'zin$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|)) (=> (|tptp.'bijection$'| A__questionmark_v0) (= (|tptp.'fun_app$i'| (|tptp.'image$a'| (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0)) |tptp.'top$'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (|tptp.'image$k'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) |tptp.'top$c'|) |tptp.'top$c'|))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$ah'| (|tptp.'zin$'| A__questionmark_v0) (|tptp.'zexplode$'| A__questionmark_v1)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1))) (|tptp.'fun_app$d'| (|tptp.'type_definition$'| |tptp.'rep_zet$'| |tptp.'abs_zet$a'|) |tptp.'zet$'|) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$a'| |tptp.'set_like$'| A__questionmark_v0) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'ext_ZF$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$j'| (|tptp.'pair$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|) (A__questionmark_v2 |tptp.'ZF_zet$'|)) (let ((_let_1 (|tptp.'zin$'| A__questionmark_v0))) (= (|tptp.'fun_app$ah'| _let_1 (|tptp.'zunion$'| A__questionmark_v1 A__questionmark_v2)) (or (|tptp.'fun_app$ah'| _let_1 A__questionmark_v1) (|tptp.'fun_app$ah'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_zet$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'zin$'| A__questionmark_v2))) (= (|tptp.'fun_app$ah'| _let_1 A__questionmark_v0) (|tptp.'fun_app$ah'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'member$'| (|tptp.'fun_app$j'| (|tptp.'pair$'| A__questionmark_v2) A__questionmark_v3)))) (=> (|tptp.'fun_app$a'| _let_1 A__questionmark_v0) (|tptp.'fun_app$a'| _let_1 A__questionmark_v1)))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_zet$'|)) (= (|tptp.'zin$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'rep_zet$a'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_zet$'|)) (= (|tptp.'zin$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v0) (|tptp.'rep_zet$b'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|)) (= (|tptp.'fun_app$ah'| (|tptp.'zin$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_zet$'|)) (= (|tptp.'fun_app$ah'| (|tptp.'zin$'| A__questionmark_v0) (|tptp.'zimage$a'| A__questionmark_v1 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$ah'| (|tptp.'zin$'| A__questionmark_v3) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_zet$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$ah'| (|tptp.'zin$'| A__questionmark_v4) A__questionmark_v1) (= (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$g'| A__questionmark_v3 A__questionmark_v4))))) (= (|tptp.'zimage$a'| A__questionmark_v2 A__questionmark_v0) (|tptp.'zimage$a'| A__questionmark_v3 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (not (|tptp.'fun_app$ah'| (|tptp.'zin$'| A__questionmark_v0) |tptp.'zempty$'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|)) (=> (|tptp.'bijection$'| A__questionmark_v0) (= (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (|tptp.'image$k'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'bijection$'| A__questionmark_v0) (= (= A__questionmark_v1 (|tptp.'fun_app$g'| (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (= A__questionmark_v1 (|tptp.'fun_app$u'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'bijection$'| A__questionmark_v0) (= (= (|tptp.'fun_app$g'| (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (= (|tptp.'fun_app$u'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0))) (=> (|tptp.'bijection$'| A__questionmark_v0) (= (= (|tptp.'fun_app$g'| _let_1 A__questionmark_v1) (|tptp.'fun_app$g'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0))) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (= (|tptp.'fun_app$u'| _let_1 A__questionmark_v1) (|tptp.'fun_app$u'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'bijection$'| A__questionmark_v0) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$g'| (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (|tptp.'fun_app$u'| A__questionmark_v0 (|tptp.'fun_app$u'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'bijection$'| A__questionmark_v0) (= (|tptp.'fun_app$g'| (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0) (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (|tptp.'bijection$a'| A__questionmark_v0) (= (|tptp.'fun_app$u'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0))) (=> (and (|tptp.'bijection$'| A__questionmark_v0) (= (|tptp.'fun_app$g'| _let_1 A__questionmark_v1) (|tptp.'fun_app$g'| _let_1 A__questionmark_v2))) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0))) (=> (and (|tptp.'bijection$a'| A__questionmark_v0) (= (|tptp.'fun_app$u'| _let_1 A__questionmark_v1) (|tptp.'fun_app$u'| _let_1 A__questionmark_v2))) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'type_definition$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'image$'| A__questionmark_v0 |tptp.'top$'|) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'type_definition$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v0) |tptp.'top$'|) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'type_definition$c'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'image$'| A__questionmark_v1 A__questionmark_v2) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'type_definition$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$i'| (|tptp.'image$a'| A__questionmark_v1) A__questionmark_v2) |tptp.'top$'|))) (forall ((A__questionmark_v0 |tptp.'ZF_zet$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|)) (= (|tptp.'fun_app$ah'| (|tptp.'zsubset$'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'zin$'| A__questionmark_v2))) (=> (|tptp.'fun_app$ah'| _let_1 A__questionmark_v0) (|tptp.'fun_app$ah'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$g'| (|tptp.'ext_ZF_hull$'| A__questionmark_v0) A__questionmark_v2))) (=> (and (|tptp.'fun_app$a'| |tptp.'set_like$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) _let_1) (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$j'| (|tptp.'pair$'| A__questionmark_v3) A__questionmark_v1)) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) _let_1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| |tptp.'regular$'| A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (not (= A__questionmark_v1 |tptp.'empty$'|)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$j'| (|tptp.'pair$'| A__questionmark_v3) A__questionmark_v2)) A__questionmark_v0) (not (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v1)))))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (not (= A__questionmark_v0 |tptp.'empty$'|)) (exists ((A__questionmark_v1 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v2))) (=> (|tptp.'fun_app$b'| _let_1 A__questionmark_v1) (not (|tptp.'fun_app$b'| _let_1 A__questionmark_v0))))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (not (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) |tptp.'empty$'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$a'| |tptp.'set_like$'| A__questionmark_v0) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'ext_ZF_hull$'| A__questionmark_v0) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$t'| (|tptp.'ext_ZF_n$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$a'| |tptp.'set_like$'| A__questionmark_v0) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v1) (|tptp.'fun_app$f'| (|tptp.'ext$'| (|tptp.'fun_app$r'| |tptp.'trancl$'| A__questionmark_v0)) A__questionmark_v2))) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'ext_ZF_hull$'| A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_zet$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|)) (= (|tptp.'zunion$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$ag'| |tptp.'abs_zet$a'| (|tptp.'fun_app$i'| (|tptp.'sup$'| (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v0)) (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v1))))) (|tptp.'fun_app$b'| _let_2 |tptp.'nat$'|) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_set_fun$'|)) (= (|tptp.'relChain$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$j'| (|tptp.'pair$'| A__questionmark_v2) A__questionmark_v3)) A__questionmark_v0) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_prod_set_fun$'|)) (= (|tptp.'relChain$a'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$j'| (|tptp.'pair$'| A__questionmark_v2) A__questionmark_v3)) A__questionmark_v0) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_int_fun$'|)) (= (|tptp.'relChain$b'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$j'| (|tptp.'pair$'| A__questionmark_v2) A__questionmark_v3)) A__questionmark_v0) (<= (|tptp.'fun_app$aj'| A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$aj'| A__questionmark_v1 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'Nat_ZF_fun$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'seqSum$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$t'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (let ((_let_1 (|tptp.'member$b'| A__questionmark_v0))) (=> (=> (not (|tptp.'fun_app$d'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$d'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$d'| _let_1 (|tptp.'sup$a'| A__questionmark_v2 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'member$'| A__questionmark_v0))) (=> (=> (not (|tptp.'fun_app$a'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$a'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'member$a'| A__questionmark_v0))) (=> (=> (not (|tptp.'fun_app$c'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$c'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (let ((_let_1 (|tptp.'member$b'| A__questionmark_v0))) (= (|tptp.'fun_app$d'| _let_1 (|tptp.'sup$a'| A__questionmark_v1 A__questionmark_v2)) (or (|tptp.'fun_app$d'| _let_1 A__questionmark_v1) (|tptp.'fun_app$d'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'member$'| A__questionmark_v0))) (= (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v1) A__questionmark_v2)) (or (|tptp.'fun_app$a'| _let_1 A__questionmark_v1) (|tptp.'fun_app$a'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'member$a'| A__questionmark_v0))) (= (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v2)) (or (|tptp.'fun_app$c'| _let_1 A__questionmark_v1) (|tptp.'fun_app$c'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (let ((_let_1 (|tptp.'member$b'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$d'| _let_1 (|tptp.'sup$a'| A__questionmark_v1 A__questionmark_v2)) (=> (|tptp.'fun_app$d'| _let_1 A__questionmark_v1) false) (=> (|tptp.'fun_app$d'| _let_1 A__questionmark_v2) false)) false))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'member$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v1) A__questionmark_v2)) (=> (|tptp.'fun_app$a'| _let_1 A__questionmark_v1) false) (=> (|tptp.'fun_app$a'| _let_1 A__questionmark_v2) false)) false))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'member$a'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v2)) (=> (|tptp.'fun_app$c'| _let_1 A__questionmark_v1) false) (=> (|tptp.'fun_app$c'| _let_1 A__questionmark_v2) false)) false))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (let ((_let_1 (|tptp.'member$b'| A__questionmark_v0))) (=> (|tptp.'fun_app$d'| _let_1 A__questionmark_v1) (|tptp.'fun_app$d'| _let_1 (|tptp.'sup$a'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'member$'| A__questionmark_v0))) (=> (|tptp.'fun_app$a'| _let_1 A__questionmark_v1) (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'member$a'| A__questionmark_v0))) (=> (|tptp.'fun_app$c'| _let_1 A__questionmark_v1) (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_set$'|)) (let ((_let_1 (|tptp.'member$b'| A__questionmark_v0))) (=> (|tptp.'fun_app$d'| _let_1 A__questionmark_v1) (|tptp.'fun_app$d'| _let_1 (|tptp.'sup$a'| A__questionmark_v2 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'member$'| A__questionmark_v0))) (=> (|tptp.'fun_app$a'| _let_1 A__questionmark_v1) (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'member$a'| A__questionmark_v0))) (=> (|tptp.'fun_app$c'| _let_1 A__questionmark_v1) (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_bool_fun$'|)) (= (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) (|tptp.'sup$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))) (or (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'ZF_set$'|)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_bool_fun$'|)) (= (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (or (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (and (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_bool_fun$'|)) (= (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3))) (or (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_set_set$'|) (A__questionmark_v2 |tptp.'ZF_set_bool_fun$'|)) (= (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) (|tptp.'sup$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))) (and (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v2 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_bool_fun$'|)) (= (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (and (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'member$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_bool_fun$'|)) (= (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3))) (and (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'sup$'| A__questionmark_v0))) (= (|tptp.'fun_app$i'| (|tptp.'sup$'| (|tptp.'fun_app$i'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$i'| _let_1 (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'sup$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$i'| _let_1 A__questionmark_v1))) (= (|tptp.'fun_app$i'| _let_1 _let_2) _let_2)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'sup$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'sup$'| A__questionmark_v1))) (= (|tptp.'fun_app$i'| _let_1 (|tptp.'fun_app$i'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$i'| _let_2 (|tptp.'fun_app$i'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'image$'| A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'sup$a'| (|tptp.'image$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'image$a'| A__questionmark_v0))) (= (|tptp.'fun_app$i'| _let_1 (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$i'| (|tptp.'sup$'| (|tptp.'fun_app$i'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$i'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'ZF_set$'|) (A__questionmark_v4 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v4) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v3) A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v1) A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v4 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v4) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v3) A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (= (|tptp.'sup$c'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$i'| (|tptp.'sup$'| |tptp.'top$'|) A__questionmark_v0) |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (= (|tptp.'sup$c'| |tptp.'top$c'| A__questionmark_v0) |tptp.'top$c'|)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| |tptp.'set_like$'| A__questionmark_v0) (|tptp.'fun_app$a'| |tptp.'set_like$'| (|tptp.'fun_app$r'| |tptp.'trancl$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (=> (|tptp.'fun_app$a'| |tptp.'wfzf$'| A__questionmark_v0) (|tptp.'fun_app$a'| |tptp.'wfzf$'| (|tptp.'fun_app$r'| |tptp.'trancl$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$g'| (|tptp.'ext_ZF_hull$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'seqSum$'| (|tptp.'ext_ZF_n$'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$a'| |tptp.'set_like$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$t'| (|tptp.'ext_ZF_n$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3))) (|tptp.'fun_app$c'| (|tptp.'member$a'| A__questionmark_v1) (|tptp.'fun_app$f'| (|tptp.'ext$'| (|tptp.'fun_app$r'| |tptp.'trancl$'| A__questionmark_v0)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_zet$'|) (A__questionmark_v1 |tptp.'ZF_zet$'|)) (= (|tptp.'fun_app$h'| |tptp.'rep_zet$'| (|tptp.'zunion$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$i'| (|tptp.'sup$'| (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v0)) (|tptp.'fun_app$h'| |tptp.'rep_zet$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$i'| (|tptp.'sup$'| |tptp.'top$'|) A__questionmark_v0) |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (= (|tptp.'sup$c'| |tptp.'top$c'| A__questionmark_v0) |tptp.'top$c'|)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (= (|tptp.'sup$c'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$i'| (|tptp.'sup$'| |tptp.'top$'|) A__questionmark_v0) |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (= (|tptp.'sup$c'| |tptp.'top$c'| A__questionmark_v0) |tptp.'top$c'|)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (= (|tptp.'sup$c'| A__questionmark_v0 |tptp.'top$c'|) |tptp.'top$c'|)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (= (<= (|tptp.'fun_app$ac'| (|tptp.'sup$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (and (<= A__questionmark_v0 A__questionmark_v2) (<= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (= (<= (|tptp.'fun_app$ac'| (|tptp.'sup$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (and (<= A__questionmark_v0 A__questionmark_v2) (<= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (<= A__questionmark_v0 (|tptp.'fun_app$ac'| (|tptp.'sup$d'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (<= A__questionmark_v0 (|tptp.'fun_app$ac'| (|tptp.'sup$d'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= (|tptp.'fun_app$ac'| (|tptp.'sup$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (and (<= A__questionmark_v0 A__questionmark_v2) (<= A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v2 A__questionmark_v1)) (<= (|tptp.'fun_app$ac'| (|tptp.'sup$d'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (<= A__questionmark_v0 (|tptp.'fun_app$ac'| (|tptp.'sup$d'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (|tptp.'fun_app$c'| (|tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|)) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (<= A__questionmark_v0 (|tptp.'fun_app$ac'| (|tptp.'sup$d'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'less_eq$'| A__questionmark_v0))) (=> (|tptp.'fun_app$c'| _let_1 A__questionmark_v1) (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'less_eq$a'| A__questionmark_v0))) (=> (|tptp.'fun_app$a'| _let_1 A__questionmark_v1) (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 (|tptp.'fun_app$ac'| (|tptp.'sup$d'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (let ((_let_1 (|tptp.'less_eq$'| A__questionmark_v0))) (=> (|tptp.'fun_app$c'| _let_1 A__questionmark_v1) (|tptp.'fun_app$c'| _let_1 (|tptp.'fun_app$i'| (|tptp.'sup$'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_prod_set$'|)) (let ((_let_1 (|tptp.'less_eq$a'| A__questionmark_v0))) (=> (|tptp.'fun_app$a'| _let_1 A__questionmark_v1) (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$r'| (|tptp.'sup$b'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 (|tptp.'fun_app$ac'| (|tptp.'sup$d'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) |tptp.'nat$'|) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'sucNat$'| A__questionmark_v0)) |tptp.'nat$'|))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$t'| |tptp.'nat2Nat$'| A__questionmark_v0)) |tptp.'nat$'|)) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| |tptp.'nat$'|) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v2))) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$b'| _let_1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| |tptp.'empty$'|) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) |tptp.'nat$'|) (= (|tptp.'fun_app$t'| |tptp.'nat2Nat$'| (|tptp.'fun_app$s'| |tptp.'nat2nat$'| A__questionmark_v0)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$t'| |tptp.'nat2Nat$'| A__questionmark_v0)) |tptp.'inf$'|)) (and (|tptp.'fun_app$b'| _let_2 |tptp.'inf$'|) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) |tptp.'inf$'|) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'sucNat$'| A__questionmark_v0)) |tptp.'inf$'|)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'product$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'of_nat$'| (|tptp.'fun_app$s'| |tptp.'nat2nat$'| (|tptp.'fun_app$t'| |tptp.'nat2Nat$'| A__questionmark_v0))) (|tptp.'of_nat$'| A__questionmark_v0))) (= |tptp.'nat2nat$'| (|tptp.'inv_into$c'| |tptp.'top$c'| |tptp.'nat2Nat$'|)) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) |tptp.'nat$'|) (= (|tptp.'of_nat$'| (|tptp.'fun_app$s'| |tptp.'nat2nat$'| (|tptp.'fun_app$g'| |tptp.'sucNat$'| A__questionmark_v0))) (+ (|tptp.'of_nat$'| (|tptp.'fun_app$s'| |tptp.'nat2nat$'| A__questionmark_v0)) 1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| (|tptp.'cartProd$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| (|tptp.'union$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'power$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'fun_app$t'| |tptp.'nat2Nat$'| (|tptp.'nat$a'| (+ (|tptp.'of_nat$'| A__questionmark_v0) 1))) (|tptp.'fun_app$g'| |tptp.'sucNat$'| (|tptp.'fun_app$t'| |tptp.'nat2Nat$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v0))) (= (|tptp.'fun_app$b'| _let_1 (|tptp.'fun_app$g'| (|tptp.'union$'| A__questionmark_v1) A__questionmark_v2)) (or (|tptp.'fun_app$b'| _let_1 A__questionmark_v1) (|tptp.'fun_app$b'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$f'| |tptp.'explode$'| (|tptp.'fun_app$g'| (|tptp.'union$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$i'| (|tptp.'sup$'| (|tptp.'fun_app$f'| |tptp.'explode$'| A__questionmark_v0)) (|tptp.'fun_app$f'| |tptp.'explode$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'ext_ZF_n$'| A__questionmark_v0 A__questionmark_v1))) (= (|tptp.'fun_app$t'| _let_1 (|tptp.'nat$a'| (+ (|tptp.'of_nat$'| A__questionmark_v2) 1))) (|tptp.'fun_app$g'| |tptp.'sum$'| (|tptp.'repl$'| (|tptp.'fun_app$t'| _let_1 A__questionmark_v2) (|tptp.'ext_ZF$'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'of_nat$'| A__questionmark_v0))) (= (<= (+ _let_2 1) (+ _let_1 1)) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v0))) (<= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (|tptp.'of_nat$'| A__questionmark_v1))) (=> (and (<= _let_2 _let_3) (<= _let_3 _let_1)) (<= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'of_nat$'| A__questionmark_v0))) (=> (= _let_2 _let_1) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'of_nat$'| A__questionmark_v0))) (=> (and (<= _let_2 _let_1) (<= _let_1 _let_2)) (= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'of_nat$'| A__questionmark_v1))) (or (<= _let_1 _let_2) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v3) (<= (|tptp.'of_nat$'| A__questionmark_v3) (|tptp.'of_nat$'| A__questionmark_v2))))) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (and (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v4) (<= (|tptp.'of_nat$'| A__questionmark_v4) (|tptp.'of_nat$'| A__questionmark_v3)))))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (|tptp.'strict_mono$'| A__questionmark_v0) (<= (|tptp.'of_nat$'| A__questionmark_v1) (|tptp.'of_nat$'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$g'| |tptp.'sum$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'of_nat$'| A__questionmark_v0))) (=> (<= (+ _let_2 1) _let_1) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (+ _let_1 1))) (let ((_let_3 (|tptp.'of_nat$'| A__questionmark_v0))) (=> (and (<= _let_3 _let_2) (=> (<= _let_3 _let_1) false) (=> (= _let_3 _let_2) false)) false))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'of_nat$'| A__questionmark_v0))) (=> (<= _let_2 _let_1) (<= _let_2 (+ _let_1 1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (<= (+ (|tptp.'of_nat$'| A__questionmark_v0) 1) (|tptp.'of_nat$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'of_nat$'| A__questionmark_v1) (+ (|tptp.'of_nat$'| A__questionmark_v2) 1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (+ _let_1 1))) (let ((_let_3 (|tptp.'of_nat$'| A__questionmark_v0))) (= (<= _let_3 _let_2) (or (<= _let_3 _let_1) (= _let_3 _let_2))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v0))) (not (<= (+ _let_1 1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'of_nat$'| A__questionmark_v1))) (= (not (<= _let_1 _let_2)) (<= (+ _let_2 1) _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (<= (+ (|tptp.'of_nat$'| A__questionmark_v3) 1) (|tptp.'of_nat$'| A__questionmark_v2)) (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v3))) (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_bool_fun$'|)) (=> (and (<= (|tptp.'of_nat$'| A__questionmark_v0) (|tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$x'| A__questionmark_v2 A__questionmark_v0) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'of_nat$'| A__questionmark_v3))) (=> (and (<= (|tptp.'of_nat$'| A__questionmark_v0) _let_1) (|tptp.'fun_app$x'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$x'| A__questionmark_v2 (|tptp.'nat$a'| (+ _let_1 1))))))) (|tptp.'fun_app$x'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_nat_bool_fun_fun$'|)) (=> (and (<= (|tptp.'of_nat$'| A__questionmark_v0) (|tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$x'| (|tptp.'fun_app$ad'| A__questionmark_v2 A__questionmark_v3) A__questionmark_v3)) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat$'|) (A__questionmark_v5 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$ad'| A__questionmark_v2 A__questionmark_v3))) (=> (and (|tptp.'fun_app$x'| _let_1 A__questionmark_v4) (|tptp.'fun_app$x'| (|tptp.'fun_app$ad'| A__questionmark_v2 A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$x'| _let_1 A__questionmark_v5)))) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$x'| (|tptp.'fun_app$ad'| A__questionmark_v2 A__questionmark_v3) (|tptp.'nat$a'| (+ (|tptp.'of_nat$'| A__questionmark_v3) 1))))) (|tptp.'fun_app$x'| (|tptp.'fun_app$ad'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'sum$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (|tptp.'fun_app$b'| (|tptp.'subset$'| (|tptp.'fun_app$g'| |tptp.'product$'| A__questionmark_v0)) (|tptp.'fun_app$g'| |tptp.'power$'| (|tptp.'fun_app$g'| (|tptp.'cartProd$'| A__questionmark_v0) (|tptp.'fun_app$g'| |tptp.'sum$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'Nat_ZF_fun$'|)) (= (|tptp.'seqSum$'| A__questionmark_v0) (|tptp.'fun_app$g'| |tptp.'sum$'| (|tptp.'repl$'| |tptp.'nat$'| (|tptp.'comp$'| A__questionmark_v0 |tptp.'nat2nat$'|))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$g'| |tptp.'sucNat$'| A__questionmark_v0) (|tptp.'fun_app$g'| (|tptp.'union$'| A__questionmark_v0) (|tptp.'fun_app$g'| |tptp.'singleton$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'subset$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$b'| _let_1 A__questionmark_v1) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'subset$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$b'| _let_1 A__questionmark_v1) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| _let_1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v2))) (=> (|tptp.'fun_app$b'| _let_1 A__questionmark_v0) (|tptp.'fun_app$b'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (|tptp.'fun_app$b'| (|tptp.'subset$'| |tptp.'empty$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$g'| |tptp.'singleton$'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (not (= (|tptp.'fun_app$g'| |tptp.'singleton$'| A__questionmark_v0) |tptp.'empty$'|))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$g'| |tptp.'power$'| A__questionmark_v1)) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'singleton$'| A__questionmark_v1)) A__questionmark_v0))) (= _let_1 _let_1) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|)) (= (|tptp.'fun_app$g'| |tptp.'sum$'| (|tptp.'repl$'| A__questionmark_v0 (|tptp.'comp$b'| |tptp.'singleton$'| A__questionmark_v1))) (|tptp.'repl$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| |tptp.'empty$'|) A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'singleton$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'power$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) (|tptp.'fun_app$g'| (|tptp.'fun$'| A__questionmark_v1) A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'sum$'| (|tptp.'fun_app$g'| |tptp.'range$'| A__questionmark_v2))) A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| |tptp.'nat$'|) A__questionmark_v0)) (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| |tptp.'empty$'|) A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'singleton$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'power$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) (|tptp.'fun_app$g'| (|tptp.'fun$'| A__questionmark_v1) A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'sum$'| (|tptp.'fun_app$g'| |tptp.'range$'| A__questionmark_v2))) A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| |tptp.'nat$'|) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$g'| (|tptp.'fun$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'subset$'| (|tptp.'fun_app$g'| |tptp.'range$'| A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) (|tptp.'fun_app$g'| (|tptp.'fun$'| A__questionmark_v1) A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| |tptp.'sum$'| (|tptp.'fun_app$g'| |tptp.'range$'| A__questionmark_v2))) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v0))) (=> (|tptp.'fun_app$b'| _let_1 (|tptp.'fun_app$g'| (|tptp.'fun$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| _let_1 (|tptp.'fun_app$g'| (|tptp.'pFun$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|)) (= (|tptp.'fun_app$g'| |tptp.'range$'| (|tptp.'lambda$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'repl$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|)) (= (= (|tptp.'lambda$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'lambda$'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (forall ((A__questionmark_v4 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v4) A__questionmark_v0) (= (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$g'| A__questionmark_v3 A__questionmark_v4))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$g'| (|tptp.'fun$'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_ZF_fun$'|)) (= A__questionmark_v0 (|tptp.'lambda$'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'lambda$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$g'| (|tptp.'fun$'| A__questionmark_v2) A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (forall ((A__questionmark_v4 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v4) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v4)) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'lambda$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$g'| (|tptp.'fun$'| A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$g'| (|tptp.'app$'| (|tptp.'lambda$'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v0) (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$g'| (|tptp.'union$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$g'| |tptp.'sum$'| (|tptp.'fun_app$g'| (|tptp.'upair$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$g'| (|tptp.'upair$'| A__questionmark_v1) A__questionmark_v2)) (or (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$g'| (|tptp.'upair$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'upair$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'upair$'| A__questionmark_v0))) (= (= (|tptp.'fun_app$g'| _let_1 A__questionmark_v1) (|tptp.'fun_app$g'| _let_1 A__questionmark_v2)) (or (and (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (= (|tptp.'fun_app$g'| (|tptp.'upair$'| A__questionmark_v0) A__questionmark_v0) (|tptp.'fun_app$g'| (|tptp.'upair$'| A__questionmark_v1) A__questionmark_v2)) (and (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (not (= (|tptp.'fun_app$g'| (|tptp.'upair$'| A__questionmark_v0) A__questionmark_v1) |tptp.'empty$'|))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$g'| |tptp.'singleton$'| A__questionmark_v0) (|tptp.'fun_app$g'| (|tptp.'upair$'| A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| (|tptp.'upair$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$g'| (|tptp.'upair$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'union$'| (|tptp.'fun_app$g'| |tptp.'singleton$'| A__questionmark_v0)) (|tptp.'fun_app$g'| |tptp.'singleton$'| A__questionmark_v1)))) (not (exists ((A__questionmark_v0 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| |tptp.'isFun$'| A__questionmark_v0) (= (|tptp.'fun_app$g'| |tptp.'domain$'| A__questionmark_v0) |tptp.'nat$'|) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'app$'| A__questionmark_v0))) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) |tptp.'nat$'|) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| _let_1 (|tptp.'fun_app$g'| |tptp.'sucNat$'| A__questionmark_v1))) (|tptp.'fun_app$g'| _let_1 A__questionmark_v1)))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|)) (= (|tptp.'fun_app$g'| |tptp.'domain$'| (|tptp.'lambda$'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|)) (|tptp.'fun_app$b'| |tptp.'isFun$'| (|tptp.'lambda$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'isFun$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$g'| |tptp.'domain$'| A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| (|tptp.'app$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$g'| |tptp.'range$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'isFun$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$g'| |tptp.'range$'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) (|tptp.'fun_app$g'| |tptp.'domain$'| A__questionmark_v0)) (= (|tptp.'fun_app$g'| (|tptp.'app$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$g'| |tptp.'field$'| A__questionmark_v0) (|tptp.'fun_app$g'| (|tptp.'union$'| (|tptp.'fun_app$g'| |tptp.'domain$'| A__questionmark_v0)) (|tptp.'fun_app$g'| |tptp.'range$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$g'| (|tptp.'pFun$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'sep$'| (|tptp.'fun_app$g'| |tptp.'power$'| (|tptp.'fun_app$g'| (|tptp.'cartProd$'| A__questionmark_v0) A__questionmark_v1)) |tptp.'isFun$'|))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_bool_fun$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v0))) (= (|tptp.'fun_app$b'| _let_1 (|tptp.'sep$'| A__questionmark_v1 A__questionmark_v2)) (and (|tptp.'fun_app$b'| _let_1 A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_bool_fun$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$b'| (|tptp.'subset$'| (|tptp.'sep$'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_bool_fun$'|)) (|tptp.'fun_app$b'| (|tptp.'subset$'| (|tptp.'sep$'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'isFun$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$g'| |tptp.'domain$'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| (|tptp.'opair$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v0) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| (|tptp.'opair$'| A__questionmark_v1) A__questionmark_v3)) A__questionmark_v0) (= A__questionmark_v3 A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'upair$'| A__questionmark_v0))) (= (|tptp.'fun_app$g'| (|tptp.'opair$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'upair$'| (|tptp.'fun_app$g'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$g'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) (|tptp.'fun_app$g'| (|tptp.'opair$'| A__questionmark_v0) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'repl$'| A__questionmark_v0 |tptp.'id$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (= (= (|tptp.'fun_app$g'| (|tptp.'opair$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'opair$'| A__questionmark_v2) A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| (|tptp.'opair$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$g'| (|tptp.'fun$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v1)) (exists ((A__questionmark_v4 |tptp.'ZF$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| (|tptp.'opair$'| A__questionmark_v3) A__questionmark_v4)) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$g'| |tptp.'range$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| (|tptp.'opair$'| A__questionmark_v2) A__questionmark_v0)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$g'| |tptp.'domain$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| (|tptp.'opair$'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| |tptp.'isFun$'| A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'opair$'| A__questionmark_v1))) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| _let_1 A__questionmark_v2)) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$g'| _let_1 A__questionmark_v3)) A__questionmark_v0)) (= A__questionmark_v2 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$g'| (|tptp.'cartProd$'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v4) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$g'| (|tptp.'opair$'| A__questionmark_v3) A__questionmark_v4)))))) (|tptp.'inj_on$'| |tptp.'nat2Nat$'| |tptp.'top$c'|) (|tptp.'fun_app$c'| (|tptp.'inj_on$a'| |tptp.'explode$'|) |tptp.'top$'|) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (<= 0 (|tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'nat$a'| (|tptp.'of_nat$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (let ((_let_1 (|tptp.'of_nat$'| (|tptp.'nat$a'| A__questionmark_v0)))) (let ((_let_2 (<= 0 A__questionmark_v0))) (and (=> _let_2 (= _let_1 A__questionmark_v0)) (=> (not _let_2) (= _let_1 0)))))) true))))))))))
% 0.63/0.93 )
% 0.63/0.93 % SZS output end Proof for ITP001_1
% 0.63/0.93 % cvc5---1.0.5 exiting
% 0.63/0.93 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------