TSTP Solution File: SWW473+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW473+2 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 18:19:59 EDT 2024
% Result : Theorem 1.40s 1.57s
% Output : Proof 1.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.22 % Problem : SWW473+2 : TPTP v8.2.0. Released v5.3.0.
% 0.22/0.23 % Command : do_cvc5 %s %d
% 0.23/0.44 % Computer : n017.cluster.edu
% 0.23/0.44 % Model : x86_64 x86_64
% 0.23/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.44 % Memory : 8042.1875MB
% 0.23/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.23/0.44 % CPULimit : 300
% 0.23/0.44 % WCLimit : 300
% 0.23/0.44 % DateTime : Sun May 26 06:40:54 EDT 2024
% 0.23/0.44 % CPUTime :
% 0.52/0.79 %----Proving TF0_NAR, FOF, or CNF
% 1.40/1.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.40/1.57 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.NGATPEZ01Q/cvc5---1.0.5_29650.smt2
% 1.40/1.57 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.NGATPEZ01Q/cvc5---1.0.5_29650.smt2
% 1.40/1.57 (assume a0 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_2_1) (tptp.is_fun_a_bool (tptp.cOMBB_bool_bool_a B_1_1 B_2_1)))))
% 1.40/1.57 (assume a1 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun_pname_bool (tptp.cOMBB_647938656_pname B_1_1 B_2_1)))))
% 1.40/1.57 (assume a2 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun949378684l_bool B_2_1) (tptp.is_fun949378684l_bool (tptp.cOMBB_2140588453a_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a3 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.cOMBB_307249310e_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a4 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_bool B_1_1) (tptp.is_fun_a_bool (tptp.cOMBK_bool_a B_1_1)))))
% 1.40/1.57 (assume a5 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_bool B_1_1) (tptp.is_fun_pname_bool (tptp.cOMBK_bool_pname B_1_1)))))
% 1.40/1.57 (assume a6 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_bool B_1_1) (tptp.is_fun949378684l_bool (tptp.cOMBK_324466864a_bool B_1_1)))))
% 1.40/1.57 (assume a7 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_bool B_1_1) (tptp.is_fun1661590463l_bool (tptp.cOMBK_1857069011e_bool B_1_1)))))
% 1.40/1.57 (assume a8 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_2_1) (tptp.is_fun_a_bool (tptp.cOMBS_a_bool_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a9 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun_pname_bool (tptp.cOMBS_568398431l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a10 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun949378684l_bool B_2_1) (tptp.is_fun949378684l_bool (tptp.cOMBS_1035972772l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a11 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.cOMBS_350070575l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a12 (tptp.is_fun949378684l_bool tptp.finite_finite_a))
% 1.40/1.57 (assume a13 (tptp.is_fun1661590463l_bool tptp.finite_finite_pname))
% 1.40/1.57 (assume a14 (tptp.is_a (tptp.undefined_a tptp.x_a)))
% 1.40/1.57 (assume a15 (tptp.is_pname (tptp.undefined_pname tptp.pname)))
% 1.40/1.57 (assume a16 (tptp.is_fun_a_bool (tptp.undefined_fun_a_bool (tptp.fun tptp.x_a tptp.bool))))
% 1.40/1.57 (assume a17 (tptp.is_fun_pname_bool (tptp.undefi17486888e_bool (tptp.fun tptp.pname tptp.bool))))
% 1.40/1.57 (assume a18 (tptp.is_fun949378684l_bool (tptp.undefi1699038445l_bool (tptp.fun (tptp.fun tptp.x_a tptp.bool) tptp.bool))))
% 1.40/1.57 (assume a19 (tptp.is_fun1661590463l_bool (tptp.undefi64961550l_bool (tptp.fun (tptp.fun tptp.pname tptp.bool) tptp.bool))))
% 1.40/1.57 (assume a20 (tptp.is_bool tptp.bot_bot_bool))
% 1.40/1.57 (assume a21 (tptp.is_fun_a_bool tptp.bot_bot_fun_a_bool))
% 1.40/1.57 (assume a22 (tptp.is_fun_pname_bool tptp.bot_bo844097828e_bool))
% 1.40/1.57 (assume a23 (tptp.is_fun949378684l_bool tptp.bot_bo1389914601l_bool))
% 1.40/1.57 (assume a24 (tptp.is_fun1661590463l_bool tptp.bot_bo1649642514l_bool))
% 1.40/1.57 (assume a25 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_1_1) (tptp.is_fun_a_bool (tptp.collect_a B_1_1)))))
% 1.40/1.57 (assume a26 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_1_1) (tptp.is_fun_pname_bool (tptp.collect_pname B_1_1)))))
% 1.40/1.57 (assume a27 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun949378684l_bool B_1_1) (tptp.is_fun949378684l_bool (tptp.collect_fun_a_bool B_1_1)))))
% 1.40/1.57 (assume a28 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_1_1) (tptp.is_fun1661590463l_bool (tptp.collec1974731493e_bool B_1_1)))))
% 1.40/1.57 (assume a29 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_2_1) (tptp.is_fun_a_bool (tptp.image_a_a B_1_1 B_2_1)))))
% 1.40/1.57 (assume a30 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_2_1) (tptp.is_fun_pname_bool (tptp.image_a_pname B_1_1 B_2_1)))))
% 1.40/1.57 (assume a31 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_2_1) (tptp.is_fun949378684l_bool (tptp.image_a_fun_a_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a32 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.image_819518260e_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a33 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun_a_bool (tptp.image_pname_a B_1_1 B_2_1)))))
% 1.40/1.57 (assume a34 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun_pname_bool (tptp.image_pname_pname B_1_1 B_2_1)))))
% 1.40/1.57 (assume a35 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun949378684l_bool (tptp.image_112932426a_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a36 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.image_47868345e_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a37 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_a_bool (tptp.image_nat_a B_1_1 B_2_1))))
% 1.40/1.57 (assume a38 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.image_nat_pname B_1_1 B_2_1))))
% 1.40/1.57 (assume a39 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun949378684l_bool (tptp.image_nat_fun_a_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a40 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1661590463l_bool (tptp.image_1655916159e_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a41 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun949378684l_bool B_2_1) (tptp.is_fun_a_bool (tptp.image_fun_a_bool_a B_1_1 B_2_1)))))
% 1.40/1.57 (assume a42 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun949378684l_bool B_2_1) (tptp.is_fun_pname_bool (tptp.image_1854862208_pname B_1_1 B_2_1)))))
% 1.40/1.57 (assume a43 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_fun_a_bool (tptp.image_876012084bool_a B_1_1 B_2_1)))))
% 1.40/1.57 (assume a44 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_fun_pname_bool (tptp.image_1283814551_pname B_1_1 B_2_1)))))
% 1.40/1.57 (assume a45 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_a_bool (tptp.image_fun_nat_bool_a B_1_1 B_2_1))))
% 1.40/1.57 (assume a46 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.image_1921560913_pname B_1_1 B_2_1))))
% 1.40/1.57 (assume a47 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_a B_1_1) (tptp.is_fun_a_bool B_2_1)) (tptp.is_fun_a_bool (tptp.insert_a B_1_1 B_2_1)))))
% 1.40/1.57 (assume a48 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_pname B_1_1) (tptp.is_fun_pname_bool B_2_1)) (tptp.is_fun_pname_bool (tptp.insert_pname B_1_1 B_2_1)))))
% 1.40/1.57 (assume a49 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun_a_bool B_1_1) (tptp.is_fun949378684l_bool B_2_1)) (tptp.is_fun949378684l_bool (tptp.insert_fun_a_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a50 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool B_1_1) (tptp.is_fun1661590463l_bool B_2_1)) (tptp.is_fun1661590463l_bool (tptp.insert1325755072e_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a51 (tptp.is_bool tptp.fFalse))
% 1.40/1.57 (assume a52 (tptp.is_bool tptp.fTrue))
% 1.40/1.57 (assume a53 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_a B_2_1) (tptp.is_a (tptp.hAPP_a_a B_1_1 B_2_1)))))
% 1.40/1.57 (assume a54 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_a B_2_1) (tptp.is_pname (tptp.hAPP_a_pname B_1_1 B_2_1)))))
% 1.40/1.57 (assume a55 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun_a_bool B_1_1) (tptp.is_a B_2_1)) (tptp.is_bool (tptp.hAPP_a_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a56 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_a B_2_1) (tptp.is_fun_a_bool (tptp.hAPP_a_fun_a_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a57 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_a B_2_1) (tptp.is_fun_pname_bool (tptp.hAPP_a93125764e_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a58 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_a B_2_1) (tptp.is_fun949378684l_bool (tptp.hAPP_a85458249l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a59 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_a B_2_1) (tptp.is_fun1661590463l_bool (tptp.hAPP_a217006258l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a60 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_pname B_2_1) (tptp.is_a (tptp.hAPP_pname_a B_1_1 B_2_1)))))
% 1.40/1.57 (assume a61 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_pname B_2_1) (tptp.is_pname (tptp.hAPP_pname_pname B_1_1 B_2_1)))))
% 1.40/1.57 (assume a62 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool B_1_1) (tptp.is_pname B_2_1)) (tptp.is_bool (tptp.hAPP_pname_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a63 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_pname B_2_1) (tptp.is_fun_a_bool (tptp.hAPP_p1534023578a_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a64 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_pname B_2_1) (tptp.is_fun_pname_bool (tptp.hAPP_p61793385e_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a65 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_pname B_2_1) (tptp.is_fun949378684l_bool (tptp.hAPP_p1824510254l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a66 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_pname B_2_1) (tptp.is_fun1661590463l_bool (tptp.hAPP_p338031245l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a67 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_bool (tptp.hAPP_bool_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a68 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_a (tptp.hAPP_nat_a B_1_1 B_2_1))))
% 1.40/1.57 (assume a69 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_pname (tptp.hAPP_nat_pname B_1_1 B_2_1))))
% 1.40/1.57 (assume a70 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_nat_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a71 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_a_bool (tptp.hAPP_nat_fun_a_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a72 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.hAPP_n1025906991e_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a73 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun949378684l_bool (tptp.hAPP_n1414589940l_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a74 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1661590463l_bool (tptp.hAPP_n850744903l_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a75 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_2_1) (tptp.is_pname (tptp.hAPP_f1128469712_pname B_1_1 B_2_1)))))
% 1.40/1.57 (assume a76 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun949378684l_bool B_1_1) (tptp.is_fun_a_bool B_2_1)) (tptp.is_bool (tptp.hAPP_fun_a_bool_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a77 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_2_1) (tptp.is_fun_a_bool (tptp.hAPP_f2050579477a_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a78 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_2_1) (tptp.is_fun_pname_bool (tptp.hAPP_f1794073134e_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a79 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_2_1) (tptp.is_fun949378684l_bool (tptp.hAPP_f1631501043l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a80 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_pname (tptp.hAPP_f1297739591_pname B_1_1 B_2_1)))))
% 1.40/1.57 (assume a81 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun1661590463l_bool B_1_1) (tptp.is_fun_pname_bool B_2_1)) (tptp.is_bool (tptp.hAPP_f1664156314l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a82 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun_a_bool (tptp.hAPP_f1051908748a_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a83 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun_pname_bool (tptp.hAPP_f759274231e_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a84 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.hAPP_f434788991l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a85 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_pname (tptp.hAPP_f1291551745_pname B_1_1 B_2_1))))
% 1.40/1.57 (assume a86 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f54304608l_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a87 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_a_bool (tptp.hAPP_f1549043526a_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a88 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.hAPP_f654413245e_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a89 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun949378684l_bool B_2_1) (tptp.is_bool (tptp.hAPP_f621171935l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a90 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun949378684l_bool B_2_1) (tptp.is_fun949378684l_bool (tptp.hAPP_f2117159681l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a91 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_bool (tptp.hAPP_f1935102916l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a92 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.hAPP_f559147733l_bool B_1_1 B_2_1)))))
% 1.40/1.57 (assume a93 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1637334154l_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a94 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f292226953l_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a95 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f389811538l_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a96 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f937997336l_bool B_1_1 B_2_1))))
% 1.40/1.57 (assume a97 (tptp.is_fun_a_bool tptp.g))
% 1.40/1.57 (assume a98 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_1_1) (tptp.is_fun949378684l_bool (tptp.p B_1_1)))))
% 1.40/1.57 (assume a99 (tptp.is_fun_pname_bool tptp.u))
% 1.40/1.57 (assume a100 (forall ((B_1_1 $$unsorted)) (tptp.is_a (tptp.mgt B_1_1))))
% 1.40/1.57 (assume a101 (tptp.is_pname tptp.pn))
% 1.40/1.57 (assume a102 (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.wt B_1_1))))
% 1.40/1.57 (assume a103 (forall ((Ts $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Ts) G)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p G) Ts)))))
% 1.40/1.57 (assume a104 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1)) (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool (tptp.collec1015864663l_bool (tptp.hAPP_f1772781669l_bool (tptp.cOMBC_595898202l_bool tptp.ord_le1454342156l_bool) A_1)))))))
% 1.40/1.57 (assume a105 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool tptp.ord_le675606854l_bool) A_1)))))))
% 1.40/1.57 (assume a106 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1)) (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool (tptp.collec707592106l_bool (tptp.hAPP_f1434722111l_bool (tptp.cOMBC_331553030l_bool tptp.ord_le1375614389l_bool) A_1)))))))
% 1.40/1.57 (assume a107 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool tptp.ord_le1311769555a_bool) A_1)))))))
% 1.40/1.57 (assume a108 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.ord_le313189616e_bool) A_1)))))))
% 1.40/1.57 (assume a109 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool tptp.ord_le1568362934t_bool) A_1)))))))
% 1.40/1.57 (assume a110 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_2129980159t_bool H F_1))))))
% 1.40/1.57 (assume a111 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_47868345e_bool H F_1))))))
% 1.40/1.57 (assume a112 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_112932426a_bool H F_1))))))
% 1.40/1.57 (assume a113 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_nat_a H F_1))))))
% 1.40/1.57 (assume a114 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_26036933t_bool H F_1))))))
% 1.40/1.57 (assume a115 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_1655916159e_bool H F_1))))))
% 1.40/1.57 (assume a116 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_nat_fun_a_bool H F_1))))))
% 1.40/1.57 (assume a117 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_a_pname H F_1))))))
% 1.40/1.57 (assume a118 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1921560913_pname H F_1))))))
% 1.40/1.57 (assume a119 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1283814551_pname H F_1))))))
% 1.40/1.57 (assume a120 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1854862208_pname H F_1))))))
% 1.40/1.57 (assume a121 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_a_nat H F_1))))))
% 1.40/1.57 (assume a122 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool F_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_496248727ol_nat H F_1))))))
% 1.40/1.57 (assume a123 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_1551609309ol_nat H F_1))))))
% 1.40/1.57 (assume a124 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool F_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_fun_a_bool_nat H F_1))))))
% 1.40/1.57 (assume a125 (forall ((H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_pname_a H F_1))))))
% 1.40/1.57 (assume a126 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.insert_fun_nat_bool A_3 A_1))))))
% 1.40/1.57 (assume a127 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.insert1325755072e_bool A_3 A_1))))))
% 1.40/1.57 (assume a128 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.insert_fun_a_bool A_3 A_1))))))
% 1.40/1.57 (assume a129 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.insert_pname A_3 A_1))))))
% 1.40/1.57 (assume a130 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.insert_nat A_3 A_1))))))
% 1.40/1.57 (assume a131 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.insert_a A_3 A_1))))))
% 1.40/1.57 (assume a132 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_pname_pname F A_1))) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A_1))))))
% 1.40/1.57 (assume a133 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_a_a F A_1))) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A_1))))))
% 1.40/1.57 (assume a134 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_fun_nat_bool_a F A_1))) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A_1))))))
% 1.40/1.57 (assume a135 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_876012084bool_a F A_1))) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A_1))))))
% 1.40/1.57 (assume a136 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_fun_a_bool_a F A_1))) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A_1))))))
% 1.40/1.57 (assume a137 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_pname_nat F A_1))) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A_1))))))
% 1.40/1.57 (assume a138 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_a_nat F A_1))) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A_1))))))
% 1.40/1.57 (assume a139 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_496248727ol_nat F A_1))) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A_1))))))
% 1.40/1.57 (assume a140 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_1551609309ol_nat F A_1))) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A_1))))))
% 1.40/1.57 (assume a141 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_fun_a_bool_nat F A_1))) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A_1))))))
% 1.40/1.57 (assume a142 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_a_pname F A_1))) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A_1))))))
% 1.40/1.57 (assume a143 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_nat_pname F A_1))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A_1))))))
% 1.40/1.57 (assume a144 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_pname_a F A_1))) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A_1))))))
% 1.40/1.57 (assume a145 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A_1)) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool B_6)))))))
% 1.40/1.57 (assume a146 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A_1)) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool B_6)))))))
% 1.40/1.57 (assume a147 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A_1)) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool B_6)))))))
% 1.40/1.57 (assume a148 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A_1)) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname B_6)))))))
% 1.40/1.57 (assume a149 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A_1)) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a B_6)))))))
% 1.40/1.57 (assume a150 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A_1)) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat B_6)))))))
% 1.40/1.57 (assume a151 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool B_6)) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A_1))) (= A_1 B_6))))))
% 1.40/1.57 (assume a152 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (and (tptp.is_fun1661590463l_bool A_1) (tptp.is_fun1661590463l_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool B_6)) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A_1))) (= A_1 B_6)))))))
% 1.40/1.57 (assume a153 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (and (tptp.is_fun949378684l_bool A_1) (tptp.is_fun949378684l_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool B_6)) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A_1))) (= A_1 B_6)))))))
% 1.40/1.57 (assume a154 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (and (tptp.is_fun_pname_bool A_1) (tptp.is_fun_pname_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname B_6)) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A_1))) (= A_1 B_6)))))))
% 1.40/1.57 (assume a155 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (and (tptp.is_fun_a_bool A_1) (tptp.is_fun_a_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a B_6)) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A_1))) (= A_1 B_6)))))))
% 1.40/1.57 (assume a156 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat B_6)) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A_1))) (= A_1 B_6))))))
% 1.40/1.57 (assume a157 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A_1)) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.insert_fun_nat_bool X_3 A_1)))))))
% 1.40/1.57 (assume a158 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A_1)) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.insert1325755072e_bool X_3 A_1)))))))
% 1.40/1.57 (assume a159 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A_1)) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.insert_fun_a_bool X_3 A_1)))))))
% 1.40/1.57 (assume a160 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A_1)) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.insert_pname X_3 A_1)))))))
% 1.40/1.57 (assume a161 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A_1)) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.insert_nat X_3 A_1)))))))
% 1.40/1.57 (assume a162 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A_1)) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.insert_a X_3 A_1)))))))
% 1.40/1.57 (assume a163 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1)) (and (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool X_3) A_1)) (= (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.insert_fun_nat_bool X_3 A_1)) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool X_3) A_1))) (= (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.insert_fun_nat_bool X_3 A_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A_1))))))))
% 1.40/1.57 (assume a164 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (and (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_3) A_1)) (= (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.insert1325755072e_bool X_3 A_1)) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_3) A_1))) (= (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.insert1325755072e_bool X_3 A_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A_1))))))))
% 1.40/1.57 (assume a165 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1)) (and (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool X_3) A_1)) (= (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.insert_fun_a_bool X_3 A_1)) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool X_3) A_1))) (= (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.insert_fun_a_bool X_3 A_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A_1))))))))
% 1.40/1.57 (assume a166 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)) (and (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.insert_nat X_3 A_1)) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1))) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.insert_nat X_3 A_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A_1))))))))
% 1.40/1.57 (assume a167 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.insert_pname X_3 A_1)) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.insert_pname X_3 A_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A_1))))))))
% 1.40/1.57 (assume a168 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1)) (and (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1)) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.insert_a X_3 A_1)) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A_1))) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1))) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.insert_a X_3 A_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A_1))))))))
% 1.40/1.57 (assume a169 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool X_3) A_1))) (= (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.insert_fun_nat_bool X_3 A_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A_1)))))))
% 1.40/1.57 (assume a170 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_3) A_1))) (= (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.insert1325755072e_bool X_3 A_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A_1)))))))
% 1.40/1.57 (assume a171 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool X_3) A_1))) (= (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.insert_fun_a_bool X_3 A_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A_1)))))))
% 1.40/1.57 (assume a172 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1))) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.insert_nat X_3 A_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A_1)))))))
% 1.40/1.57 (assume a173 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.insert_pname X_3 A_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A_1)))))))
% 1.40/1.57 (assume a174 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1))) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.insert_a X_3 A_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A_1)))))))
% 1.40/1.57 (assume a175 (forall ((Q_1 $$unsorted) (Pa $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a Pa))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a Q_1)))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj Pa) Q_1)))))))
% 1.40/1.57 (assume a176 (forall ((Q_1 $$unsorted) (Pa $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool Pa))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool Q_1)))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj Pa) Q_1)))))))
% 1.40/1.57 (assume a177 (forall ((Q_1 $$unsorted) (Pa $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool Pa))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool Q_1)))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj Pa) Q_1)))))))
% 1.40/1.57 (assume a178 (forall ((Q_1 $$unsorted) (Pa $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool Pa))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool Q_1)))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj Pa) Q_1)))))))
% 1.40/1.57 (assume a179 (forall ((Q_1 $$unsorted) (Pa $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname Pa))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname Q_1)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj Pa) Q_1)))))))
% 1.40/1.57 (assume a180 (forall ((Q_1 $$unsorted) (Pa $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat Pa))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat Q_1)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj Pa) Q_1)))))))
% 1.40/1.57 (assume a181 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M)) N) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N))))))
% 1.40/1.57 (assume a182 (forall ((K_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat) K_2))))))
% 1.40/1.57 (assume a183 (forall ((Na $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat) Na))) (tptp.hAPP_nat_nat tptp.suc Na))))
% 1.40/1.57 (assume a184 (forall ((X $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP_nat_nat tptp.suc X) (tptp.hAPP_nat_nat tptp.suc Y)) (= X Y))))
% 1.40/1.57 (assume a185 (forall ((Nat_3 $$unsorted) (Nat_2 $$unsorted)) (= (= (tptp.hAPP_nat_nat tptp.suc Nat_3) (tptp.hAPP_nat_nat tptp.suc Nat_2)) (= Nat_3 Nat_2))))
% 1.40/1.57 (assume a186 (forall ((N $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc N) N))))
% 1.40/1.57 (assume a187 (forall ((N $$unsorted)) (not (= N (tptp.hAPP_nat_nat tptp.suc N)))))
% 1.40/1.57 (assume a188 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= M N)))))
% 1.40/1.57 (assume a189 (forall ((K $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J_2) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) K))))))
% 1.40/1.57 (assume a190 (forall ((M $$unsorted) (N $$unsorted)) (=> (= M N) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))))
% 1.40/1.57 (assume a191 (forall ((M $$unsorted) (N $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)))))
% 1.40/1.57 (assume a192 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) N))))
% 1.40/1.57 (assume a193 (forall ((I $$unsorted) (J_2 $$unsorted) (K $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat I) J_2)) K) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat I) K)) J_2))))
% 1.40/1.57 (assume a194 (forall ((Pa $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj Pa) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a Pa))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a Q_1)))))))
% 1.40/1.57 (assume a195 (forall ((Pa $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj Pa) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool Pa))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool Q_1)))))))
% 1.40/1.57 (assume a196 (forall ((Pa $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj Pa) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool Pa))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool Q_1)))))))
% 1.40/1.57 (assume a197 (forall ((Pa $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj Pa) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool Pa))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool Q_1)))))))
% 1.40/1.57 (assume a198 (forall ((Pa $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj Pa) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname Pa))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname Q_1)))))))
% 1.40/1.57 (assume a199 (forall ((Pa $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj Pa) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat Pa))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat Q_1)))))))
% 1.40/1.57 (assume a200 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.insert_fun_nat_bool A_3 A_1))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1)))))
% 1.40/1.57 (assume a201 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.insert1325755072e_bool A_3 A_1))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)))))
% 1.40/1.57 (assume a202 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.insert_fun_a_bool A_3 A_1))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1)))))
% 1.40/1.57 (assume a203 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.insert_pname A_3 A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)))))
% 1.40/1.57 (assume a204 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.insert_nat A_3 A_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)))))
% 1.40/1.57 (assume a205 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.insert_a A_3 A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1)))))
% 1.40/1.57 (assume a206 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B_6)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1))))))
% 1.40/1.57 (assume a207 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B_6)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1))))))
% 1.40/1.57 (assume a208 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B_6)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1))))))
% 1.40/1.57 (assume a209 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1))))))
% 1.40/1.57 (assume a210 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))))))
% 1.40/1.57 (assume a211 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1))))))
% 1.40/1.57 (assume a212 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1))))))
% 1.40/1.57 (assume a213 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1))))))
% 1.40/1.57 (assume a214 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1))))))
% 1.40/1.57 (assume a215 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1))))))
% 1.40/1.57 (assume a216 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))))))
% 1.40/1.57 (assume a217 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1))))))
% 1.40/1.57 (assume a218 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))))
% 1.40/1.57 (assume a219 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) (tptp.hAPP_nat_nat tptp.suc N))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N))) (= M (tptp.hAPP_nat_nat tptp.suc N))))))
% 1.40/1.57 (assume a220 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) (tptp.hAPP_nat_nat tptp.suc N))))))
% 1.40/1.57 (assume a221 (forall ((Na $$unsorted) (M_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) (tptp.hAPP_nat_nat tptp.suc M_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) M_1)))))
% 1.40/1.57 (assume a222 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) (tptp.hAPP_nat_nat tptp.suc Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)) (= M_1 (tptp.hAPP_nat_nat tptp.suc Na))))))
% 1.40/1.57 (assume a223 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) M_1)))))
% 1.40/1.57 (assume a224 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N)) N)))))
% 1.40/1.57 (assume a225 (forall ((M $$unsorted) (N $$unsorted) (K $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M)) N)) (tptp.hAPP_nat_nat tptp.suc K)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) K))))
% 1.40/1.57 (assume a226 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N))))
% 1.40/1.57 (assume a227 (forall ((Na $$unsorted) (K_2 $$unsorted) (M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) M_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) Na)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M_1) K_2)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat Na) K_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)))))))
% 1.40/1.57 (assume a228 (forall ((N $$unsorted) (K $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) N)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) K)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) K)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N))))))
% 1.40/1.57 (assume a229 (forall ((Na $$unsorted) (K_2 $$unsorted) (M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) M_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) Na)) (= (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M_1) K_2) (tptp.hAPP_nat_nat (tptp.minus_minus_nat Na) K_2)) (= M_1 Na))))))
% 1.40/1.57 (assume a230 (forall ((I $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) N)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) I)) I))))
% 1.40/1.57 (assume a231 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) L)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) L))))))
% 1.40/1.57 (assume a232 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat L) N)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat L) M))))))
% 1.40/1.57 (assume a233 (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) M))))
% 1.40/1.57 (assume a234 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_a_a F A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6))))))
% 1.40/1.57 (assume a235 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_fun_nat_bool_a F A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6))))))
% 1.40/1.57 (assume a236 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_876012084bool_a F A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6))))))
% 1.40/1.57 (assume a237 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_fun_a_bool_a F A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6))))))
% 1.40/1.57 (assume a238 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool B_6) (tptp.image_2129980159t_bool F A_1))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B_6))))))
% 1.40/1.57 (assume a239 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B_6) (tptp.image_47868345e_bool F A_1))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B_6))))))
% 1.40/1.57 (assume a240 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool B_6) (tptp.image_112932426a_bool F A_1))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B_6))))))
% 1.40/1.57 (assume a241 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_pname_pname F A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6))))))
% 1.40/1.57 (assume a242 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_pname_nat F A_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6))))))
% 1.40/1.57 (assume a243 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_nat_a F A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6))))))
% 1.40/1.57 (assume a244 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool B_6) (tptp.image_26036933t_bool F A_1))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B_6))))))
% 1.40/1.57 (assume a245 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B_6) (tptp.image_1655916159e_bool F A_1))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B_6))))))
% 1.40/1.57 (assume a246 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool B_6) (tptp.image_nat_fun_a_bool F A_1))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B_6))))))
% 1.40/1.57 (assume a247 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_nat_pname F A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6))))))
% 1.40/1.57 (assume a248 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_nat_nat F A_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6))))))
% 1.40/1.57 (assume a249 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_a_pname F A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6))))))
% 1.40/1.57 (assume a250 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_1921560913_pname F A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6))))))
% 1.40/1.57 (assume a251 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_1283814551_pname F A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6))))))
% 1.40/1.57 (assume a252 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_1854862208_pname F A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6))))))
% 1.40/1.57 (assume a253 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_a_nat F A_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6))))))
% 1.40/1.57 (assume a254 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_496248727ol_nat F A_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6))))))
% 1.40/1.57 (assume a255 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_1551609309ol_nat F A_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6))))))
% 1.40/1.57 (assume a256 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_fun_a_bool_nat F A_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6))))))
% 1.40/1.57 (assume a257 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_pname_a F A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6))))))
% 1.40/1.57 (assume a258 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun_a_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_fun_nat_bool_a F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool C_7)) (= B_6 (tptp.image_fun_nat_bool_a F C_7)))))))))
% 1.40/1.57 (assume a259 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun_a_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_876012084bool_a F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun1661590463l_bool C_7) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool C_7)) (= B_6 (tptp.image_876012084bool_a F C_7)))))))))
% 1.40/1.57 (assume a260 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun_a_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_fun_a_bool_a F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun949378684l_bool C_7) (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool C_7)) (= B_6 (tptp.image_fun_a_bool_a F C_7)))))))))
% 1.40/1.57 (assume a261 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun_a_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_a_a F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun_a_bool C_7) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_7)) (= B_6 (tptp.image_a_a F C_7)))))))))
% 1.40/1.57 (assume a262 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool B_6) (tptp.image_a_fun_nat_bool F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun_a_bool C_7) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_7)) (= B_6 (tptp.image_a_fun_nat_bool F C_7))))))))
% 1.40/1.57 (assume a263 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B_6) (tptp.image_819518260e_bool F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun_a_bool C_7) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_7)) (= B_6 (tptp.image_819518260e_bool F C_7)))))))))
% 1.40/1.57 (assume a264 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun949378684l_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool B_6) (tptp.image_a_fun_a_bool F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun_a_bool C_7) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_7)) (= B_6 (tptp.image_a_fun_a_bool F C_7)))))))))
% 1.40/1.57 (assume a265 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun_pname_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_a_pname F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun_a_bool C_7) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_7)) (= B_6 (tptp.image_a_pname F C_7)))))))))
% 1.40/1.57 (assume a266 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun_pname_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_1921560913_pname F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool C_7)) (= B_6 (tptp.image_1921560913_pname F C_7)))))))))
% 1.40/1.57 (assume a267 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun_pname_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_1283814551_pname F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun1661590463l_bool C_7) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool C_7)) (= B_6 (tptp.image_1283814551_pname F C_7)))))))))
% 1.40/1.57 (assume a268 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun_pname_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_1854862208_pname F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun949378684l_bool C_7) (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool C_7)) (= B_6 (tptp.image_1854862208_pname F C_7)))))))))
% 1.40/1.57 (assume a269 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_a_nat F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun_a_bool C_7) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_7)) (= B_6 (tptp.image_a_nat F C_7))))))))
% 1.40/1.57 (assume a270 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_496248727ol_nat F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool C_7)) (= B_6 (tptp.image_496248727ol_nat F C_7))))))))
% 1.40/1.57 (assume a271 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_1551609309ol_nat F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun1661590463l_bool C_7) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool C_7)) (= B_6 (tptp.image_1551609309ol_nat F C_7))))))))
% 1.40/1.57 (assume a272 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_fun_a_bool_nat F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun949378684l_bool C_7) (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool C_7)) (= B_6 (tptp.image_fun_a_bool_nat F C_7))))))))
% 1.40/1.57 (assume a273 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool B_6) (tptp.image_2129980159t_bool F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun_pname_bool C_7) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_7)) (= B_6 (tptp.image_2129980159t_bool F C_7))))))))
% 1.40/1.57 (assume a274 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B_6) (tptp.image_47868345e_bool F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun_pname_bool C_7) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_7)) (= B_6 (tptp.image_47868345e_bool F C_7)))))))))
% 1.40/1.57 (assume a275 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun949378684l_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool B_6) (tptp.image_112932426a_bool F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun_pname_bool C_7) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_7)) (= B_6 (tptp.image_112932426a_bool F C_7)))))))))
% 1.40/1.57 (assume a276 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun_pname_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_pname_pname F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun_pname_bool C_7) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_7)) (= B_6 (tptp.image_pname_pname F C_7)))))))))
% 1.40/1.57 (assume a277 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_pname_nat F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun_pname_bool C_7) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_7)) (= B_6 (tptp.image_pname_nat F C_7))))))))
% 1.40/1.57 (assume a278 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun_a_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_nat_a F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_7)) (= B_6 (tptp.image_nat_a F C_7)))))))))
% 1.40/1.57 (assume a279 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool B_6) (tptp.image_26036933t_bool F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_7)) (= B_6 (tptp.image_26036933t_bool F C_7))))))))
% 1.40/1.57 (assume a280 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B_6) (tptp.image_1655916159e_bool F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_7)) (= B_6 (tptp.image_1655916159e_bool F C_7)))))))))
% 1.40/1.57 (assume a281 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun949378684l_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool B_6) (tptp.image_nat_fun_a_bool F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_7)) (= B_6 (tptp.image_nat_fun_a_bool F C_7)))))))))
% 1.40/1.57 (assume a282 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun_pname_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_nat_pname F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_7)) (= B_6 (tptp.image_nat_pname F C_7)))))))))
% 1.40/1.57 (assume a283 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_nat_nat F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_7)) (= B_6 (tptp.image_nat_nat F C_7))))))))
% 1.40/1.57 (assume a284 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.is_fun_a_bool B_6) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_pname_a F A_1))) (exists ((C_7 $$unsorted)) (and (tptp.is_fun_pname_bool C_7) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_7) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_7)) (= B_6 (tptp.image_pname_a F C_7)))))))))
% 1.40/1.57 (assume a285 (forall ((Na $$unsorted) (N_3 $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F N_2)) (tptp.hAPP_nat_bool F (tptp.hAPP_nat_nat tptp.suc N_2))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_3)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F Na)) (tptp.hAPP_nat_bool F N_3)))))))
% 1.40/1.57 (assume a286 (forall ((Na $$unsorted) (N_3 $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_n1025906991e_bool F N_2)) (tptp.hAPP_n1025906991e_bool F (tptp.hAPP_nat_nat tptp.suc N_2))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_3)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_n1025906991e_bool F Na)) (tptp.hAPP_n1025906991e_bool F N_3)))))))
% 1.40/1.57 (assume a287 (forall ((Na $$unsorted) (N_3 $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool F N_2)) (tptp.hAPP_n1699378549t_bool F (tptp.hAPP_nat_nat tptp.suc N_2))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_3)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool F Na)) (tptp.hAPP_n1699378549t_bool F N_3)))))))
% 1.40/1.57 (assume a288 (forall ((Na $$unsorted) (N_3 $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_nat_fun_a_bool F N_2)) (tptp.hAPP_nat_fun_a_bool F (tptp.hAPP_nat_nat tptp.suc N_2))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_3)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_nat_fun_a_bool F Na)) (tptp.hAPP_nat_fun_a_bool F N_3)))))))
% 1.40/1.57 (assume a289 (forall ((Na $$unsorted) (N_3 $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F N_2)) (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat tptp.suc N_2))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F Na)) (tptp.hAPP_nat_nat F N_3)))))))
% 1.40/1.57 (assume a290 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_nat_pname F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) A_1)) (tptp.hAPP_p1499970991t_bool (tptp.cOMBC_nat_pname_bool (tptp.cOMBB_1212655066ol_nat tptp.fequal_pname F)) (tptp.hAPP_nat_pname F X_1)))))))))))))
% 1.40/1.57 (assume a291 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_a_pname F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_a X_1) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool tptp.member_a) A_1)) (tptp.hAPP_p1534023578a_bool (tptp.cOMBC_a_pname_bool (tptp.cOMBB_610033911bool_a tptp.fequal_pname F)) (tptp.hAPP_a_pname F X_1)))))))))))))
% 1.40/1.57 (assume a292 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_pname_pname F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_pname X_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) A_1)) (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool (tptp.cOMBB_542850580_pname tptp.fequal_pname F)) (tptp.hAPP_pname_pname F X_1)))))))))))))
% 1.40/1.57 (assume a293 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1921560913_pname F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj (tptp.hAPP_f1246832597l_bool (tptp.cOMBC_1245412066l_bool tptp.member_fun_nat_bool) A_1)) (tptp.hAPP_p130839763l_bool (tptp.cOMBC_615407716e_bool (tptp.cOMBB_141086128t_bool tptp.fequal_pname F)) (tptp.hAPP_f1291551745_pname F X_1)))))))))))))
% 1.40/1.57 (assume a294 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1283814551_pname F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_fun_pname_bool X_1) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) A_1)) (tptp.hAPP_p338031245l_bool (tptp.cOMBC_1004116266e_bool (tptp.cOMBB_598082538e_bool tptp.fequal_pname F)) (tptp.hAPP_f1297739591_pname F X_1)))))))))))))
% 1.40/1.57 (assume a295 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1854862208_pname F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_fun_a_bool X_1) (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj (tptp.hAPP_f2117159681l_bool (tptp.cOMBC_1880041174l_bool tptp.member_fun_a_bool) A_1)) (tptp.hAPP_p1824510254l_bool (tptp.cOMBC_1738168533e_bool (tptp.cOMBB_1693087065a_bool tptp.fequal_pname F)) (tptp.hAPP_f1128469712_pname F X_1)))))))))))))
% 1.40/1.57 (assume a296 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_nat_nat F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) A_1)) (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool (tptp.cOMBB_800536526ol_nat tptp.fequal_nat F)) (tptp.hAPP_nat_nat F X_1)))))))))))))
% 1.40/1.57 (assume a297 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_a_nat F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_a X_1) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool tptp.member_a) A_1)) (tptp.hAPP_nat_fun_a_bool (tptp.cOMBC_a_nat_bool (tptp.cOMBB_1321347587bool_a tptp.fequal_nat F)) (tptp.hAPP_a_nat F X_1)))))))))))))
% 1.40/1.57 (assume a298 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_pname_nat F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_pname X_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) A_1)) (tptp.hAPP_n1025906991e_bool (tptp.cOMBC_pname_nat_bool (tptp.cOMBB_523834888_pname tptp.fequal_nat F)) (tptp.hAPP_pname_nat F X_1)))))))))))))
% 1.40/1.57 (assume a299 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_496248727ol_nat F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj (tptp.hAPP_f1246832597l_bool (tptp.cOMBC_1245412066l_bool tptp.member_fun_nat_bool) A_1)) (tptp.hAPP_n215258509l_bool (tptp.cOMBC_385542954t_bool (tptp.cOMBB_1250273980t_bool tptp.fequal_nat F)) (tptp.hAPP_f22106695ol_nat F X_1)))))))))))))
% 1.40/1.57 (assume a300 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_1551609309ol_nat F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_fun_pname_bool X_1) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) A_1)) (tptp.hAPP_n850744903l_bool (tptp.cOMBC_1666426608t_bool (tptp.cOMBB_1896684278e_bool tptp.fequal_nat F)) (tptp.hAPP_f921600141ol_nat F X_1)))))))))))))
% 1.40/1.57 (assume a301 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_fun_a_bool_nat F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_fun_a_bool X_1) (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj (tptp.hAPP_f2117159681l_bool (tptp.cOMBC_1880041174l_bool tptp.member_fun_a_bool) A_1)) (tptp.hAPP_n1414589940l_bool (tptp.cOMBC_619334683t_bool (tptp.cOMBB_164527437a_bool tptp.fequal_nat F)) (tptp.hAPP_fun_a_bool_nat F X_1)))))))))))))
% 1.40/1.57 (assume a302 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1))) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_nat_a F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) A_1)) (tptp.hAPP_a_fun_nat_bool (tptp.cOMBC_nat_a_bool (tptp.cOMBB_1885489796ol_nat tptp.fequal_a F)) (tptp.hAPP_nat_a F X_1)))))))))))))
% 1.40/1.57 (assume a303 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_26036933t_bool F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) A_1)) (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool (tptp.cOMBB_2026977092ol_nat tptp.fequal_fun_nat_bool F)) (tptp.hAPP_n1699378549t_bool F X_1)))))))))))))
% 1.40/1.57 (assume a304 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_1655916159e_bool F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) A_1)) (tptp.hAPP_f1066163005t_bool (tptp.cOMBC_386238098l_bool (tptp.cOMBB_2117322052ol_nat tptp.fequal533582459e_bool F)) (tptp.hAPP_n1025906991e_bool F X_1)))))))))))))
% 1.40/1.57 (assume a305 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_1))) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_nat_fun_a_bool F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) A_1)) (tptp.hAPP_f282463732t_bool (tptp.cOMBC_1928494297l_bool (tptp.cOMBB_1823939024ol_nat tptp.fequal_fun_a_bool F)) (tptp.hAPP_nat_fun_a_bool F X_1)))))))))))))
% 1.40/1.57 (assume a306 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_2129980159t_bool F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_pname X_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) A_1)) (tptp.hAPP_f654413245e_bool (tptp.cOMBC_267053842l_bool (tptp.cOMBB_928955006_pname tptp.fequal_fun_nat_bool F)) (tptp.hAPP_p1499970991t_bool F X_1)))))))))))))
% 1.40/1.57 (assume a307 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_47868345e_bool F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_pname X_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) A_1)) (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool (tptp.cOMBB_408569982_pname tptp.fequal533582459e_bool F)) (tptp.hAPP_p61793385e_bool F X_1)))))))))))))
% 1.40/1.57 (assume a308 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_112932426a_bool F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_pname X_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) A_1)) (tptp.hAPP_f1794073134e_bool (tptp.cOMBC_445755039l_bool (tptp.cOMBB_392435466_pname tptp.fequal_fun_a_bool F)) (tptp.hAPP_p1534023578a_bool F X_1)))))))))))))
% 1.40/1.57 (assume a309 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1))) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_a_a F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_a X_1) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool tptp.member_a) A_1)) (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool (tptp.cOMBB_a_fun_a_bool_a tptp.fequal_a F)) (tptp.hAPP_a_a F X_1)))))))))))))
% 1.40/1.57 (assume a310 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_a_fun_nat_bool F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_a X_1) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool tptp.member_a) A_1)) (tptp.hAPP_f1549043526a_bool (tptp.cOMBC_777206479l_bool (tptp.cOMBB_743407885bool_a tptp.fequal_fun_nat_bool F)) (tptp.hAPP_a_fun_nat_bool F X_1)))))))))))))
% 1.40/1.57 (assume a311 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_819518260e_bool F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_a X_1) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool tptp.member_a) A_1)) (tptp.hAPP_f1051908748a_bool (tptp.cOMBC_1834145417l_bool (tptp.cOMBB_1137537805bool_a tptp.fequal533582459e_bool F)) (tptp.hAPP_a93125764e_bool F X_1)))))))))))))
% 1.40/1.57 (assume a312 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_1))) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_a_fun_a_bool F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_a X_1) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool tptp.member_a) A_1)) (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool (tptp.cOMBB_472261505bool_a tptp.fequal_fun_a_bool F)) (tptp.hAPP_a_fun_a_bool F X_1)))))))))))))
% 1.40/1.57 (assume a313 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_pname_a F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_pname X_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) A_1)) (tptp.hAPP_a93125764e_bool (tptp.cOMBC_pname_a_bool (tptp.cOMBB_1897541054_pname tptp.fequal_a F)) (tptp.hAPP_pname_a F X_1)))))))))))))
% 1.40/1.57 (assume a314 (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (=> (= B_1 (tptp.hAPP_pname_nat F X_3)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat B_1) (tptp.image_pname_nat F A_1)))))))
% 1.40/1.57 (assume a315 (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (=> (= B_1 (tptp.hAPP_a_nat F X_3)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat B_1) (tptp.image_a_nat F A_1)))))))
% 1.40/1.57 (assume a316 (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (=> (= B_1 (tptp.hAPP_nat_pname F X_3)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.image_nat_pname F A_1)))))))
% 1.40/1.57 (assume a317 (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (=> (= B_1 (tptp.hAPP_nat_a F X_3)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_nat_a F A_1)))))))
% 1.40/1.57 (assume a318 (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (=> (= B_1 (tptp.hAPP_pname_a F X_3)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_pname_a F A_1)))))))
% 1.40/1.57 (assume a319 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (and (tptp.is_fun_pname_bool A_1) (tptp.is_fun_pname_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) A_1)) (= A_1 B_6))))))
% 1.40/1.57 (assume a320 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) A_1)) (= A_1 B_6)))))
% 1.40/1.57 (assume a321 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (and (tptp.is_fun_a_bool A_1) (tptp.is_fun_a_bool B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) A_1)) (= A_1 B_6))))))
% 1.40/1.57 (assume a322 (forall ((C_1 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_1) B_6))))))
% 1.40/1.57 (assume a323 (forall ((C_1 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_1) B_6))))))
% 1.40/1.57 (assume a324 (forall ((C_1 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_1) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_1) B_6))))))
% 1.40/1.57 (assume a325 (forall ((B_1 $$unsorted) (A_3 $$unsorted) (B_6 $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_3) B_6))) (= A_3 B_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_3) (tptp.insert_nat B_1 B_6))))))
% 1.40/1.57 (assume a326 (forall ((B_1 $$unsorted) (A_3 $$unsorted) (B_6 $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) B_6))) (= A_3 B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) (tptp.insert_pname B_1 B_6))))))
% 1.40/1.57 (assume a327 (forall ((B_1 $$unsorted) (A_3 $$unsorted) (B_6 $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_3) B_6))) (= A_3 B_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_3) (tptp.insert_a B_1 B_6))))))
% 1.40/1.57 (assume a328 (forall ((A_3 $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_3) (tptp.insert_nat B_1 A_1))) (=> (not (= A_3 B_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_3) A_1))))))
% 1.40/1.57 (assume a329 (forall ((A_3 $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (and (tptp.is_pname A_3) (tptp.is_pname B_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) (tptp.insert_pname B_1 A_1))) (=> (not (= A_3 B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) A_1)))))))
% 1.40/1.57 (assume a330 (forall ((A_3 $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (and (tptp.is_a A_3) (tptp.is_a B_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_3) (tptp.insert_a B_1 A_1))) (=> (not (= A_3 B_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_3) A_1)))))))
% 1.40/1.57 (assume a331 (forall ((I_1 $$unsorted) (Pa $$unsorted) (K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa K_2)) (=> (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc N_2))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa N_2)))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat (tptp.minus_minus_nat K_2) I_1)))))))
% 1.40/1.57 (assume a332 (forall ((N $$unsorted) (M_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N)) M_3)) (exists ((M_2 $$unsorted)) (= M_3 (tptp.hAPP_nat_nat tptp.suc M_2))))))
% 1.40/1.57 (assume a333 (forall ((A_3 $$unsorted) (B_6 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_3) (tptp.insert_nat A_3 B_6)))))
% 1.40/1.57 (assume a334 (forall ((A_3 $$unsorted) (B_6 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) (tptp.insert_pname A_3 B_6)))))
% 1.40/1.57 (assume a335 (forall ((A_3 $$unsorted) (B_6 $$unsorted)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_3) (tptp.insert_a A_3 B_6)))))
% 1.40/1.57 (assume a336 (forall ((A_3 $$unsorted) (B_6 $$unsorted)) (= (tptp.insert_fun_nat_bool A_3 B_6) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool tptp.fequal_fun_nat_bool) A_3)) (tptp.hAPP_f1246832597l_bool (tptp.cOMBC_1245412066l_bool tptp.member_fun_nat_bool) B_6))))))
% 1.40/1.57 (assume a337 (forall ((A_3 $$unsorted) (B_6 $$unsorted)) (= (tptp.insert1325755072e_bool A_3 B_6) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A_3)) (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) B_6))))))
% 1.40/1.57 (assume a338 (forall ((A_3 $$unsorted) (B_6 $$unsorted)) (= (tptp.insert_fun_a_bool A_3 B_6) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool tptp.fequal_fun_a_bool) A_3)) (tptp.hAPP_f2117159681l_bool (tptp.cOMBC_1880041174l_bool tptp.member_fun_a_bool) B_6))))))
% 1.40/1.57 (assume a339 (forall ((A_3 $$unsorted) (B_6 $$unsorted)) (= (tptp.insert_nat A_3 B_6) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.fequal_nat) A_3)) (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) B_6))))))
% 1.40/1.57 (assume a340 (forall ((A_3 $$unsorted) (B_6 $$unsorted)) (= (tptp.insert_pname A_3 B_6) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A_3)) (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) B_6))))))
% 1.40/1.57 (assume a341 (forall ((A_3 $$unsorted) (B_6 $$unsorted)) (= (tptp.insert_a A_3 B_6) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool tptp.fequal_a) A_3)) (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool tptp.member_a) B_6))))))
% 1.40/1.57 (assume a342 (forall ((A_3 $$unsorted) (Pa $$unsorted)) (= (tptp.insert_pname A_3 (tptp.collect_pname Pa)) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fimplies (tptp.cOMBB_647938656_pname tptp.fNot (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A_3))) Pa)))))
% 1.40/1.57 (assume a343 (forall ((A_3 $$unsorted) (Pa $$unsorted)) (= (tptp.insert_fun_nat_bool A_3 (tptp.collect_fun_nat_bool Pa)) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fimplies (tptp.cOMBB_238756964t_bool tptp.fNot (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool tptp.fequal_fun_nat_bool) A_3))) Pa)))))
% 1.40/1.57 (assume a344 (forall ((A_3 $$unsorted) (Pa $$unsorted)) (= (tptp.insert1325755072e_bool A_3 (tptp.collec1974731493e_bool Pa)) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fimplies (tptp.cOMBB_307249310e_bool tptp.fNot (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A_3))) Pa)))))
% 1.40/1.57 (assume a345 (forall ((A_3 $$unsorted) (Pa $$unsorted)) (= (tptp.insert_fun_a_bool A_3 (tptp.collect_fun_a_bool Pa)) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fimplies (tptp.cOMBB_2140588453a_bool tptp.fNot (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool tptp.fequal_fun_a_bool) A_3))) Pa)))))
% 1.40/1.57 (assume a346 (forall ((A_3 $$unsorted) (Pa $$unsorted)) (= (tptp.insert_nat A_3 (tptp.collect_nat Pa)) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fimplies (tptp.cOMBB_bool_bool_nat tptp.fNot (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.fequal_nat) A_3))) Pa)))))
% 1.40/1.57 (assume a347 (forall ((A_3 $$unsorted) (Pa $$unsorted)) (= (tptp.insert_a A_3 (tptp.collect_a Pa)) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fimplies (tptp.cOMBB_bool_bool_a tptp.fNot (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool tptp.fequal_a) A_3))) Pa)))))
% 1.40/1.57 (assume a348 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (= (tptp.insert_pname X_3 (tptp.insert_pname X_3 A_1)) (tptp.insert_pname X_3 A_1))))
% 1.40/1.57 (assume a349 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (= (tptp.insert_nat X_3 (tptp.insert_nat X_3 A_1)) (tptp.insert_nat X_3 A_1))))
% 1.40/1.57 (assume a350 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (= (tptp.insert_a X_3 (tptp.insert_a X_3 A_1)) (tptp.insert_a X_3 A_1))))
% 1.40/1.57 (assume a351 (forall ((X_3 $$unsorted) (Y_2 $$unsorted) (A_1 $$unsorted)) (= (tptp.insert_pname X_3 (tptp.insert_pname Y_2 A_1)) (tptp.insert_pname Y_2 (tptp.insert_pname X_3 A_1)))))
% 1.40/1.57 (assume a352 (forall ((X_3 $$unsorted) (Y_2 $$unsorted) (A_1 $$unsorted)) (= (tptp.insert_nat X_3 (tptp.insert_nat Y_2 A_1)) (tptp.insert_nat Y_2 (tptp.insert_nat X_3 A_1)))))
% 1.40/1.57 (assume a353 (forall ((X_3 $$unsorted) (Y_2 $$unsorted) (A_1 $$unsorted)) (= (tptp.insert_a X_3 (tptp.insert_a Y_2 A_1)) (tptp.insert_a Y_2 (tptp.insert_a X_3 A_1)))))
% 1.40/1.57 (assume a354 (forall ((A_3 $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_3) (tptp.insert_nat B_1 A_1))) (or (= A_3 B_1) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_3) A_1))))))
% 1.40/1.57 (assume a355 (forall ((A_3 $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (and (tptp.is_pname A_3) (tptp.is_pname B_1)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) (tptp.insert_pname B_1 A_1))) (or (= A_3 B_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) A_1)))))))
% 1.40/1.57 (assume a356 (forall ((A_3 $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (and (tptp.is_a A_3) (tptp.is_a B_1)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_3) (tptp.insert_a B_1 A_1))) (or (= A_3 B_1) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_3) A_1)))))))
% 1.40/1.57 (assume a357 (forall ((Y_2 $$unsorted) (A_1 $$unsorted) (X_3 $$unsorted)) (=> (and (tptp.is_pname Y_2) (tptp.is_pname X_3)) (= (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.insert_pname Y_2 A_1) X_3)) (or (= Y_2 X_3) (tptp.hBOOL (tptp.hAPP_pname_bool A_1 X_3)))))))
% 1.40/1.57 (assume a358 (forall ((Y_2 $$unsorted) (A_1 $$unsorted) (X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.insert_nat Y_2 A_1) X_3)) (or (= Y_2 X_3) (tptp.hBOOL (tptp.hAPP_nat_bool A_1 X_3))))))
% 1.40/1.57 (assume a359 (forall ((Y_2 $$unsorted) (A_1 $$unsorted) (X_3 $$unsorted)) (=> (and (tptp.is_a Y_2) (tptp.is_a X_3)) (= (tptp.hBOOL (tptp.hAPP_a_bool (tptp.insert_a Y_2 A_1) X_3)) (or (= Y_2 X_3) (tptp.hBOOL (tptp.hAPP_a_bool A_1 X_3)))))))
% 1.40/1.57 (assume a360 (forall ((B_6 $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) B_6))) (= (= (tptp.insert_nat X_3 A_1) (tptp.insert_nat X_3 B_6)) (= A_1 B_6))))))
% 1.40/1.57 (assume a361 (forall ((B_6 $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool B_6) (tptp.is_fun_pname_bool A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) B_6))) (= (= (tptp.insert_pname X_3 A_1) (tptp.insert_pname X_3 B_6)) (= A_1 B_6)))))))
% 1.40/1.57 (assume a362 (forall ((B_6 $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (and (tptp.is_fun_a_bool B_6) (tptp.is_fun_a_bool A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1))) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6))) (= (= (tptp.insert_a X_3 A_1) (tptp.insert_a X_3 B_6)) (= A_1 B_6)))))))
% 1.40/1.57 (assume a363 (forall ((B_1 $$unsorted) (A_3 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_3) B_6)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_3) (tptp.insert_nat B_1 B_6))))))
% 1.40/1.57 (assume a364 (forall ((B_1 $$unsorted) (A_3 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) B_6)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) (tptp.insert_pname B_1 B_6))))))
% 1.40/1.57 (assume a365 (forall ((B_1 $$unsorted) (A_3 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_3) (tptp.insert_a B_1 B_6))))))
% 1.40/1.57 (assume a366 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_3) A_1)) (= (tptp.insert_nat A_3 A_1) A_1))))
% 1.40/1.57 (assume a367 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) A_1)) (= (tptp.insert_pname A_3 A_1) A_1)))))
% 1.40/1.57 (assume a368 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_a_bool A_1) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_3) A_1)) (= (tptp.insert_a A_3 A_1) A_1)))))
% 1.40/1.57 (assume a369 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) A_1))))
% 1.40/1.57 (assume a370 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) A_1))))
% 1.40/1.57 (assume a371 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) A_1))))
% 1.40/1.57 (assume a372 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (and (tptp.is_fun_pname_bool A_1) (tptp.is_fun_pname_bool B_6)) (= (= A_1 B_6) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) A_1)))))))
% 1.40/1.57 (assume a373 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (= (= A_1 B_6) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) A_1))))))
% 1.40/1.57 (assume a374 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (and (tptp.is_fun_a_bool A_1) (tptp.is_fun_a_bool B_6)) (= (= A_1 B_6) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) A_1)))))))
% 1.40/1.57 (assume a375 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (= A_1 B_6) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)))))
% 1.40/1.57 (assume a376 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (= A_1 B_6) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)))))
% 1.40/1.57 (assume a377 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (= A_1 B_6) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)))))
% 1.40/1.57 (assume a378 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (= A_1 B_6) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) A_1)))))
% 1.40/1.57 (assume a379 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (= A_1 B_6) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) A_1)))))
% 1.40/1.57 (assume a380 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (= A_1 B_6) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) A_1)))))
% 1.40/1.57 (assume a381 (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) B_6))))))
% 1.40/1.57 (assume a382 (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) B_6))))))
% 1.40/1.57 (assume a383 (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6))))))
% 1.40/1.57 (assume a384 (forall ((B_6 $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) B_6))))))
% 1.40/1.57 (assume a385 (forall ((B_6 $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) B_6))))))
% 1.40/1.57 (assume a386 (forall ((B_6 $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6))))))
% 1.40/1.57 (assume a387 (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) B_6))))))
% 1.40/1.57 (assume a388 (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) B_6))))))
% 1.40/1.57 (assume a389 (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6))))))
% 1.40/1.57 (assume a390 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool A_1 X_3)))))
% 1.40/1.57 (assume a391 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (tptp.hBOOL (tptp.hAPP_pname_bool A_1 X_3)))))
% 1.40/1.57 (assume a392 (forall ((X_3 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1)) (tptp.hBOOL (tptp.hAPP_a_bool A_1 X_3)))))
% 1.40/1.57 (assume a393 (forall ((Pa $$unsorted)) (=> (tptp.is_fun_a_bool Pa) (= (tptp.collect_a Pa) Pa))))
% 1.40/1.57 (assume a394 (forall ((Pa $$unsorted)) (=> (tptp.is_fun_pname_bool Pa) (= (tptp.collect_pname Pa) Pa))))
% 1.40/1.57 (assume a395 (forall ((Pa $$unsorted)) (= (tptp.collect_fun_nat_bool Pa) Pa)))
% 1.40/1.57 (assume a396 (forall ((Pa $$unsorted)) (=> (tptp.is_fun1661590463l_bool Pa) (= (tptp.collec1974731493e_bool Pa) Pa))))
% 1.40/1.57 (assume a397 (forall ((Pa $$unsorted)) (=> (tptp.is_fun949378684l_bool Pa) (= (tptp.collect_fun_a_bool Pa) Pa))))
% 1.40/1.57 (assume a398 (forall ((Pa $$unsorted)) (= (tptp.collect_nat Pa) Pa)))
% 1.40/1.57 (assume a399 (forall ((C_6 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) C_6)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) C_6))))))
% 1.40/1.57 (assume a400 (forall ((C_6 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) C_6)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) C_6))))))
% 1.40/1.57 (assume a401 (forall ((C_6 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) C_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) C_6))))))
% 1.40/1.57 (assume a402 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (= A_1 B_6) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) A_1))))))))
% 1.40/1.57 (assume a403 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (= A_1 B_6) (not (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) A_1))))))))
% 1.40/1.57 (assume a404 (forall ((A_1 $$unsorted) (B_6 $$unsorted)) (=> (= A_1 B_6) (not (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) A_1))))))))
% 1.40/1.57 (assume a405 (forall ((Z_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_a Z_1) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a Z_1) (tptp.image_pname_a F A_1))) (exists ((X_1 $$unsorted)) (and (tptp.is_pname X_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (= Z_1 (tptp.hAPP_pname_a F X_1))))))))
% 1.40/1.57 (assume a406 (forall ((F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_pname_nat F X_3)) (tptp.image_pname_nat F A_1))))))
% 1.40/1.57 (assume a407 (forall ((F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_a_nat F X_3)) (tptp.image_a_nat F A_1))))))
% 1.40/1.57 (assume a408 (forall ((F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_nat_pname F X_3)) (tptp.image_nat_pname F A_1))))))
% 1.40/1.57 (assume a409 (forall ((F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_nat_a F X_3)) (tptp.image_nat_a F A_1))))))
% 1.40/1.57 (assume a410 (forall ((F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))))
% 1.40/1.57 (assume a411 (forall ((B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (=> (= B_1 (tptp.hAPP_pname_nat F X_3)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat B_1) (tptp.image_pname_nat F A_1)))))))
% 1.40/1.57 (assume a412 (forall ((B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1)) (=> (= B_1 (tptp.hAPP_a_nat F X_3)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat B_1) (tptp.image_a_nat F A_1)))))))
% 1.40/1.57 (assume a413 (forall ((B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1)) (=> (= B_1 (tptp.hAPP_nat_pname F X_3)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.image_nat_pname F A_1)))))))
% 1.40/1.57 (assume a414 (forall ((B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1)) (=> (= B_1 (tptp.hAPP_nat_a F X_3)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_nat_a F A_1)))))))
% 1.40/1.57 (assume a415 (forall ((B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (=> (= B_1 (tptp.hAPP_pname_a F X_3)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_pname_a F A_1)))))))
% 1.40/1.57 (assume a416 (forall ((X_1 $$unsorted) (Xa $$unsorted)) (= (tptp.insert_fun_nat_bool X_1 Xa) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool tptp.fequal_fun_nat_bool) X_1)) (tptp.hAPP_f1246832597l_bool (tptp.cOMBC_1245412066l_bool tptp.member_fun_nat_bool) Xa))))))
% 1.40/1.57 (assume a417 (forall ((X_1 $$unsorted) (Xa $$unsorted)) (= (tptp.insert1325755072e_bool X_1 Xa) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) X_1)) (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) Xa))))))
% 1.40/1.57 (assume a418 (forall ((X_1 $$unsorted) (Xa $$unsorted)) (= (tptp.insert_fun_a_bool X_1 Xa) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool tptp.fequal_fun_a_bool) X_1)) (tptp.hAPP_f2117159681l_bool (tptp.cOMBC_1880041174l_bool tptp.member_fun_a_bool) Xa))))))
% 1.40/1.57 (assume a419 (forall ((X_1 $$unsorted) (Xa $$unsorted)) (= (tptp.insert_nat X_1 Xa) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.fequal_nat) X_1)) (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) Xa))))))
% 1.40/1.57 (assume a420 (forall ((X_1 $$unsorted) (Xa $$unsorted)) (= (tptp.insert_pname X_1 Xa) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) X_1)) (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) Xa))))))
% 1.40/1.57 (assume a421 (forall ((X_1 $$unsorted) (Xa $$unsorted)) (= (tptp.insert_a X_1 Xa) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool tptp.fequal_a) X_1)) (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool tptp.member_a) Xa))))))
% 1.40/1.57 (assume a422 (forall ((B_6 $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.insert_pname A_3 B_6)))))
% 1.40/1.57 (assume a423 (forall ((B_6 $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.insert_nat A_3 B_6)))))
% 1.40/1.57 (assume a424 (forall ((B_6 $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.insert_a A_3 B_6)))))
% 1.40/1.57 (assume a425 (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.insert_nat X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) B_6)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6))))))
% 1.40/1.57 (assume a426 (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.insert_pname X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) B_6)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6))))))
% 1.40/1.57 (assume a427 (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6))))))
% 1.40/1.57 (assume a428 (forall ((B_6 $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1))) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) (tptp.insert_nat X_3 B_6))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6))))))
% 1.40/1.57 (assume a429 (forall ((B_6 $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) (tptp.insert_pname X_3 B_6))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6))))))
% 1.40/1.57 (assume a430 (forall ((B_6 $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) (tptp.insert_a X_3 B_6))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6))))))
% 1.40/1.57 (assume a431 (forall ((B_1 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) (tptp.insert_pname B_1 B_6))))))
% 1.40/1.57 (assume a432 (forall ((B_1 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) (tptp.insert_nat B_1 B_6))))))
% 1.40/1.57 (assume a433 (forall ((B_1 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) (tptp.insert_a B_1 B_6))))))
% 1.40/1.57 (assume a434 (forall ((A_3 $$unsorted) (C_6 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_6) D_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.insert_pname A_3 C_6)) (tptp.insert_pname A_3 D_1))))))
% 1.40/1.57 (assume a435 (forall ((A_3 $$unsorted) (C_6 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_6) D_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.insert_nat A_3 C_6)) (tptp.insert_nat A_3 D_1))))))
% 1.40/1.57 (assume a436 (forall ((A_3 $$unsorted) (C_6 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_6) D_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a A_3 C_6)) (tptp.insert_a A_3 D_1))))))
% 1.40/1.57 (assume a437 (forall ((F $$unsorted) (A_3 $$unsorted) (B_6 $$unsorted)) (= (tptp.image_a_pname F (tptp.insert_a A_3 B_6)) (tptp.insert_pname (tptp.hAPP_a_pname F A_3) (tptp.image_a_pname F B_6)))))
% 1.40/1.57 (assume a438 (forall ((F $$unsorted) (A_3 $$unsorted) (B_6 $$unsorted)) (= (tptp.image_a_nat F (tptp.insert_a A_3 B_6)) (tptp.insert_nat (tptp.hAPP_a_nat F A_3) (tptp.image_a_nat F B_6)))))
% 1.40/1.57 (assume a439 (forall ((F $$unsorted) (A_3 $$unsorted) (B_6 $$unsorted)) (= (tptp.image_nat_a F (tptp.insert_nat A_3 B_6)) (tptp.insert_a (tptp.hAPP_nat_a F A_3) (tptp.image_nat_a F B_6)))))
% 1.40/1.57 (assume a440 (forall ((F $$unsorted) (A_3 $$unsorted) (B_6 $$unsorted)) (= (tptp.image_pname_a F (tptp.insert_pname A_3 B_6)) (tptp.insert_a (tptp.hAPP_pname_a F A_3) (tptp.image_pname_a F B_6)))))
% 1.40/1.57 (assume a441 (forall ((F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (= (tptp.insert_pname (tptp.hAPP_pname_pname F X_3) (tptp.image_pname_pname F A_1)) (tptp.image_pname_pname F A_1)))))
% 1.40/1.57 (assume a442 (forall ((F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (= (tptp.insert_nat (tptp.hAPP_pname_nat F X_3) (tptp.image_pname_nat F A_1)) (tptp.image_pname_nat F A_1)))))
% 1.40/1.57 (assume a443 (forall ((F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1)) (= (tptp.insert_pname (tptp.hAPP_a_pname F X_3) (tptp.image_a_pname F A_1)) (tptp.image_a_pname F A_1)))))
% 1.40/1.57 (assume a444 (forall ((F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) A_1)) (= (tptp.insert_nat (tptp.hAPP_a_nat F X_3) (tptp.image_a_nat F A_1)) (tptp.image_a_nat F A_1)))))
% 1.40/1.57 (assume a445 (forall ((F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_3) A_1)) (= (tptp.insert_a (tptp.hAPP_nat_a F X_3) (tptp.image_nat_a F A_1)) (tptp.image_nat_a F A_1)))))
% 1.40/1.57 (assume a446 (forall ((F $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (= (tptp.insert_a (tptp.hAPP_pname_a F X_3) (tptp.image_pname_a F A_1)) (tptp.image_pname_a F A_1)))))
% 1.40/1.57 (assume a447 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_6) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_nat_a F A_1))) (exists ((AA $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool AA) A_1)) (= B_6 (tptp.image_nat_a F AA))))))))
% 1.40/1.57 (assume a448 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_6) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_6) (tptp.image_a_pname F A_1))) (exists ((AA $$unsorted)) (and (tptp.is_fun_a_bool AA) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool AA) A_1)) (= B_6 (tptp.image_a_pname F AA))))))))
% 1.40/1.57 (assume a449 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_6) (tptp.image_a_nat F A_1))) (exists ((AA $$unsorted)) (and (tptp.is_fun_a_bool AA) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool AA) A_1)) (= B_6 (tptp.image_a_nat F AA)))))))
% 1.40/1.57 (assume a450 (forall ((B_6 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_a_bool B_6) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_6) (tptp.image_pname_a F A_1))) (exists ((AA $$unsorted)) (and (tptp.is_fun_pname_bool AA) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool AA) A_1)) (= B_6 (tptp.image_pname_a F AA))))))))
% 1.40/1.57 (assume a451 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.image_a_pname F A_1)) (tptp.image_a_pname F B_6))))))
% 1.40/1.57 (assume a452 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.image_a_nat F A_1)) (tptp.image_a_nat F B_6))))))
% 1.40/1.57 (assume a453 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.image_nat_a F A_1)) (tptp.image_nat_a F B_6))))))
% 1.40/1.57 (assume a454 (forall ((F $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.image_pname_a F A_1)) (tptp.image_pname_a F B_6))))))
% 1.40/1.57 (assume a455 (forall ((B_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_pname B_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.image_nat_pname F A_1))) (not (forall ((X_1 $$unsorted)) (=> (= B_1 (tptp.hAPP_nat_pname F X_1)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1))))))))))
% 1.40/1.57 (assume a456 (forall ((B_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_a B_1) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_nat_a F A_1))) (not (forall ((X_1 $$unsorted)) (=> (= B_1 (tptp.hAPP_nat_a F X_1)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1))))))))))
% 1.40/1.57 (assume a457 (forall ((B_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat B_1) (tptp.image_pname_nat F A_1))) (not (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (=> (= B_1 (tptp.hAPP_pname_nat F X_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1))))))))))
% 1.40/1.57 (assume a458 (forall ((B_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat B_1) (tptp.image_a_nat F A_1))) (not (forall ((X_1 $$unsorted)) (=> (tptp.is_a X_1) (=> (= B_1 (tptp.hAPP_a_nat F X_1)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A_1))))))))))
% 1.40/1.57 (assume a459 (forall ((B_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_a B_1) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_pname_a F A_1))) (not (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (=> (= B_1 (tptp.hAPP_pname_a F X_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)))))))))))
% 1.40/1.57 (assume a460 (forall ((B_6 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) B_6)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_6)))))
% 1.40/1.57 (assume a461 (forall ((B_6 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B_6))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B_6)))))
% 1.40/1.57 (assume a462 (forall ((B_6 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_a X_1) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B_6))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)))))
% 1.40/1.57 (assume a463 (forall ((F $$unsorted) (B_6 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_pname_nat F X_1)) B_6))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.image_pname_nat F A_1)) B_6)))))
% 1.40/1.57 (assume a464 (forall ((F $$unsorted) (B_6 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_pname_pname F X_1)) B_6))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.image_pname_pname F A_1)) B_6)))))
% 1.40/1.57 (assume a465 (forall ((F $$unsorted) (B_6 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_a X_1) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_a_nat F X_1)) B_6))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.image_a_nat F A_1)) B_6)))))
% 1.40/1.57 (assume a466 (forall ((F $$unsorted) (B_6 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_a X_1) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_a_pname F X_1)) B_6))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.image_a_pname F A_1)) B_6)))))
% 1.40/1.57 (assume a467 (forall ((F $$unsorted) (B_6 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_nat_pname F X_1)) B_6)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.image_nat_pname F A_1)) B_6)))))
% 1.40/1.57 (assume a468 (forall ((F $$unsorted) (B_6 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_nat_a F X_1)) B_6)))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.image_nat_a F A_1)) B_6)))))
% 1.40/1.57 (assume a469 (forall ((F $$unsorted) (B_6 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) B_6))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.image_pname_a F A_1)) B_6)))))
% 1.40/1.57 (assume a470 (forall ((X_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_3) X_3))))
% 1.40/1.57 (assume a471 (forall ((X_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_3) X_3))))
% 1.40/1.57 (assume a472 (forall ((X_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_3) X_3))))
% 1.40/1.57 (assume a473 (forall ((X_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_3) X_3))))
% 1.40/1.57 (assume a474 (forall ((X_10 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_10) X_10))))
% 1.40/1.57 (assume a475 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_1)) (exists ((M_2 $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) M_2))))))))
% 1.40/1.57 (assume a476 (forall ((G $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wt C_1)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) tptp.u)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p G) (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call X_1) tptp.bot_bot_fun_a_bool)))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p G) (tptp.insert_a (tptp.mgt C_1) tptp.bot_bot_fun_a_bool)))))))
% 1.40/1.57 (assume a477 (forall ((F $$unsorted) (G_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool F) G_1)) (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_pname_bool F X_1)) (tptp.hAPP_pname_bool G_1 X_1))))))))
% 1.40/1.57 (assume a478 (forall ((F $$unsorted) (G_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G_1)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_1)) (tptp.hAPP_nat_bool G_1 X_1)))))))
% 1.40/1.57 (assume a479 (forall ((F $$unsorted) (G_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool F) G_1)) (forall ((X_1 $$unsorted)) (=> (tptp.is_a X_1) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_a_bool F X_1)) (tptp.hAPP_a_bool G_1 X_1))))))))
% 1.40/1.57 (assume a480 (forall ((X_3 $$unsorted) (F $$unsorted) (G_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool F) G_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_pname_bool F X_3)) (tptp.hAPP_pname_bool G_1 X_3))))))
% 1.40/1.57 (assume a481 (forall ((X_3 $$unsorted) (F $$unsorted) (G_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_3)) (tptp.hAPP_nat_bool G_1 X_3))))))
% 1.40/1.57 (assume a482 (forall ((X_3 $$unsorted) (F $$unsorted) (G_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool F) G_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_a_bool F X_3)) (tptp.hAPP_a_bool G_1 X_3))))))
% 1.40/1.57 (assume a483 (forall ((X_3 $$unsorted) (F $$unsorted) (G_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool F) G_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_pname_bool F X_3)) (tptp.hAPP_pname_bool G_1 X_3))))))
% 1.40/1.57 (assume a484 (forall ((X_3 $$unsorted) (F $$unsorted) (G_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_3)) (tptp.hAPP_nat_bool G_1 X_3))))))
% 1.40/1.57 (assume a485 (forall ((X_3 $$unsorted) (F $$unsorted) (G_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool F) G_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_a_bool F X_3)) (tptp.hAPP_a_bool G_1 X_3))))))
% 1.40/1.57 (assume a486 (forall ((A_3 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_3) tptp.bot_bot_fun_nat_bool)))))
% 1.40/1.57 (assume a487 (forall ((A_3 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) tptp.bot_bo844097828e_bool)))))
% 1.40/1.57 (assume a488 (forall ((A_3 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_3) tptp.bot_bot_fun_a_bool)))))
% 1.40/1.57 (assume a489 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool tptp.bot_bo1701429464l_bool)))
% 1.40/1.57 (assume a490 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool tptp.bot_bo1649642514l_bool)))
% 1.40/1.57 (assume a491 (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool tptp.bot_bo1389914601l_bool)))
% 1.40/1.57 (assume a492 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a tptp.bot_bot_fun_a_bool)))
% 1.40/1.57 (assume a493 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.bot_bo844097828e_bool)))
% 1.40/1.57 (assume a494 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat tptp.bot_bot_fun_nat_bool)))
% 1.40/1.57 (assume a495 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool tptp.bot_bo844097828e_bool) A_1))))
% 1.40/1.57 (assume a496 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool tptp.bot_bot_fun_nat_bool) A_1))))
% 1.40/1.57 (assume a497 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.bot_bot_fun_a_bool) A_1))))
% 1.40/1.57 (assume a498 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (=> (= A_1 tptp.bot_bot_fun_nat_bool) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_3) A_1))))))
% 1.40/1.57 (assume a499 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (=> (= A_1 tptp.bot_bo844097828e_bool) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) A_1))))))
% 1.40/1.57 (assume a500 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (=> (= A_1 tptp.bot_bot_fun_a_bool) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_3) A_1))))))
% 1.40/1.57 (assume a501 (forall ((Pa $$unsorted)) (= (= (tptp.collect_pname Pa) tptp.bot_bo844097828e_bool) (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (not (tptp.hBOOL (tptp.hAPP_pname_bool Pa X_1))))))))
% 1.40/1.57 (assume a502 (forall ((Pa $$unsorted)) (= (= (tptp.collect_fun_nat_bool Pa) tptp.bot_bo1701429464l_bool) (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa X_1)))))))
% 1.40/1.57 (assume a503 (forall ((Pa $$unsorted)) (= (= (tptp.collec1974731493e_bool Pa) tptp.bot_bo1649642514l_bool) (forall ((X_1 $$unsorted)) (=> (tptp.is_fun_pname_bool X_1) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa X_1))))))))
% 1.40/1.57 (assume a504 (forall ((Pa $$unsorted)) (= (= (tptp.collect_fun_a_bool Pa) tptp.bot_bo1389914601l_bool) (forall ((X_1 $$unsorted)) (=> (tptp.is_fun_a_bool X_1) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa X_1))))))))
% 1.40/1.57 (assume a505 (forall ((Pa $$unsorted)) (= (= (tptp.collect_a Pa) tptp.bot_bot_fun_a_bool) (forall ((X_1 $$unsorted)) (=> (tptp.is_a X_1) (not (tptp.hBOOL (tptp.hAPP_a_bool Pa X_1))))))))
% 1.40/1.57 (assume a506 (forall ((Pa $$unsorted)) (= (= (tptp.collect_nat Pa) tptp.bot_bot_fun_nat_bool) (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_1)))))))
% 1.40/1.57 (assume a507 (forall ((C_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_1) tptp.bot_bot_fun_nat_bool)))))
% 1.40/1.57 (assume a508 (forall ((C_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_1) tptp.bot_bo844097828e_bool)))))
% 1.40/1.57 (assume a509 (forall ((C_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_1) tptp.bot_bot_fun_a_bool)))))
% 1.40/1.57 (assume a510 (forall ((Pa $$unsorted)) (= (= tptp.bot_bo844097828e_bool (tptp.collect_pname Pa)) (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (not (tptp.hBOOL (tptp.hAPP_pname_bool Pa X_1))))))))
% 1.40/1.57 (assume a511 (forall ((Pa $$unsorted)) (= (= tptp.bot_bo1701429464l_bool (tptp.collect_fun_nat_bool Pa)) (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa X_1)))))))
% 1.40/1.57 (assume a512 (forall ((Pa $$unsorted)) (= (= tptp.bot_bo1649642514l_bool (tptp.collec1974731493e_bool Pa)) (forall ((X_1 $$unsorted)) (=> (tptp.is_fun_pname_bool X_1) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa X_1))))))))
% 1.40/1.57 (assume a513 (forall ((Pa $$unsorted)) (= (= tptp.bot_bo1389914601l_bool (tptp.collect_fun_a_bool Pa)) (forall ((X_1 $$unsorted)) (=> (tptp.is_fun_a_bool X_1) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa X_1))))))))
% 1.40/1.57 (assume a514 (forall ((Pa $$unsorted)) (= (= tptp.bot_bot_fun_a_bool (tptp.collect_a Pa)) (forall ((X_1 $$unsorted)) (=> (tptp.is_a X_1) (not (tptp.hBOOL (tptp.hAPP_a_bool Pa X_1))))))))
% 1.40/1.57 (assume a515 (forall ((Pa $$unsorted)) (= (= tptp.bot_bot_fun_nat_bool (tptp.collect_nat Pa)) (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_1)))))))
% 1.40/1.57 (assume a516 (forall ((A_1 $$unsorted)) (= (exists ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1))) (not (= A_1 tptp.bot_bot_fun_nat_bool)))))
% 1.40/1.57 (assume a517 (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (= (exists ((X_1 $$unsorted)) (and (tptp.is_pname X_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)))) (not (= A_1 tptp.bot_bo844097828e_bool))))))
% 1.40/1.57 (assume a518 (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_a_bool A_1) (= (exists ((X_1 $$unsorted)) (and (tptp.is_a X_1) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A_1)))) (not (= A_1 tptp.bot_bot_fun_a_bool))))))
% 1.40/1.57 (assume a519 (forall ((A_1 $$unsorted)) (= (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)))) (= A_1 tptp.bot_bot_fun_nat_bool))))
% 1.40/1.57 (assume a520 (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (= (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1))))) (= A_1 tptp.bot_bo844097828e_bool)))))
% 1.40/1.57 (assume a521 (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_a_bool A_1) (= (forall ((X_1 $$unsorted)) (=> (tptp.is_a X_1) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A_1))))) (= A_1 tptp.bot_bot_fun_a_bool)))))
% 1.40/1.57 (assume a522 (= tptp.bot_bo844097828e_bool (tptp.collect_pname (tptp.cOMBK_bool_pname tptp.fFalse))))
% 1.40/1.57 (assume a523 (= tptp.bot_bo1701429464l_bool (tptp.collect_fun_nat_bool (tptp.cOMBK_1994329625t_bool tptp.fFalse))))
% 1.40/1.57 (assume a524 (= tptp.bot_bo1649642514l_bool (tptp.collec1974731493e_bool (tptp.cOMBK_1857069011e_bool tptp.fFalse))))
% 1.40/1.57 (assume a525 (= tptp.bot_bo1389914601l_bool (tptp.collect_fun_a_bool (tptp.cOMBK_324466864a_bool tptp.fFalse))))
% 1.40/1.57 (assume a526 (= tptp.bot_bot_fun_a_bool (tptp.collect_a (tptp.cOMBK_bool_a tptp.fFalse))))
% 1.40/1.57 (assume a527 (= tptp.bot_bot_fun_nat_bool (tptp.collect_nat (tptp.cOMBK_bool_nat tptp.fFalse))))
% 1.40/1.57 (assume a528 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_pname_bool tptp.bot_bo844097828e_bool X_1)) (tptp.hBOOL tptp.bot_bot_bool))))
% 1.40/1.57 (assume a529 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.bot_bot_fun_nat_bool X_1)) (tptp.hBOOL tptp.bot_bot_bool))))
% 1.40/1.57 (assume a530 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_a_bool tptp.bot_bot_fun_a_bool X_1)) (tptp.hBOOL tptp.bot_bot_bool))))
% 1.40/1.57 (assume a531 (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_pname_bool tptp.bot_bo844097828e_bool X_3)) (tptp.hBOOL tptp.bot_bot_bool))))
% 1.40/1.57 (assume a532 (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.bot_bot_fun_nat_bool X_3)) (tptp.hBOOL tptp.bot_bot_bool))))
% 1.40/1.57 (assume a533 (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_a_bool tptp.bot_bot_fun_a_bool X_3)) (tptp.hBOOL tptp.bot_bot_bool))))
% 1.40/1.57 (assume a534 (forall ((A_3 $$unsorted)) (=> (tptp.is_fun_pname_bool A_3) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_3) tptp.bot_bo844097828e_bool)) (= A_3 tptp.bot_bo844097828e_bool)))))
% 1.40/1.57 (assume a535 (forall ((A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_3) tptp.bot_bot_bool)) (= (tptp.hBOOL A_3) (tptp.hBOOL tptp.bot_bot_bool)))))
% 1.40/1.57 (assume a536 (forall ((A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_3) tptp.bot_bot_fun_nat_bool)) (= A_3 tptp.bot_bot_fun_nat_bool))))
% 1.40/1.57 (assume a537 (forall ((A_3 $$unsorted)) (=> (tptp.is_fun_a_bool A_3) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_3) tptp.bot_bot_fun_a_bool)) (= A_3 tptp.bot_bot_fun_a_bool)))))
% 1.40/1.57 (assume a538 (forall ((A_9 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_9) tptp.bot_bot_nat)) (= A_9 tptp.bot_bot_nat))))
% 1.40/1.57 (assume a539 (forall ((A_3 $$unsorted)) (=> (tptp.is_fun_pname_bool A_3) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_3) tptp.bot_bo844097828e_bool)) (= A_3 tptp.bot_bo844097828e_bool)))))
% 1.40/1.57 (assume a540 (forall ((A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_3) tptp.bot_bot_bool)) (= (tptp.hBOOL A_3) (tptp.hBOOL tptp.bot_bot_bool)))))
% 1.40/1.57 (assume a541 (forall ((A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_3) tptp.bot_bot_fun_nat_bool)) (= A_3 tptp.bot_bot_fun_nat_bool))))
% 1.40/1.57 (assume a542 (forall ((A_3 $$unsorted)) (=> (tptp.is_fun_a_bool A_3) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_3) tptp.bot_bot_fun_a_bool)) (= A_3 tptp.bot_bot_fun_a_bool)))))
% 1.40/1.57 (assume a543 (forall ((A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_3) tptp.bot_bot_nat)) (= A_3 tptp.bot_bot_nat))))
% 1.40/1.57 (assume a544 (forall ((A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool tptp.bot_bo844097828e_bool) A_3))))
% 1.40/1.57 (assume a545 (forall ((A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool tptp.bot_bot_bool) A_3))))
% 1.40/1.57 (assume a546 (forall ((A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool tptp.bot_bot_fun_nat_bool) A_3))))
% 1.40/1.57 (assume a547 (forall ((A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.bot_bot_fun_a_bool) A_3))))
% 1.40/1.57 (assume a548 (forall ((A_8 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.bot_bot_nat) A_8))))
% 1.40/1.57 (assume a549 (forall ((A_3 $$unsorted) (B_1 $$unsorted)) (=> (and (tptp.is_pname A_3) (tptp.is_pname B_1)) (=> (= (tptp.insert_pname A_3 tptp.bot_bo844097828e_bool) (tptp.insert_pname B_1 tptp.bot_bo844097828e_bool)) (= A_3 B_1)))))
% 1.40/1.57 (assume a550 (forall ((A_3 $$unsorted) (B_1 $$unsorted)) (=> (= (tptp.insert_nat A_3 tptp.bot_bot_fun_nat_bool) (tptp.insert_nat B_1 tptp.bot_bot_fun_nat_bool)) (= A_3 B_1))))
% 1.40/1.57 (assume a551 (forall ((A_3 $$unsorted) (B_1 $$unsorted)) (=> (and (tptp.is_a A_3) (tptp.is_a B_1)) (=> (= (tptp.insert_a A_3 tptp.bot_bot_fun_a_bool) (tptp.insert_a B_1 tptp.bot_bot_fun_a_bool)) (= A_3 B_1)))))
% 1.40/1.57 (assume a552 (forall ((B_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat B_1) (tptp.insert_nat A_3 tptp.bot_bot_fun_nat_bool))) (= B_1 A_3))))
% 1.40/1.57 (assume a553 (forall ((B_1 $$unsorted) (A_3 $$unsorted)) (=> (and (tptp.is_pname B_1) (tptp.is_pname A_3)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.insert_pname A_3 tptp.bot_bo844097828e_bool))) (= B_1 A_3)))))
% 1.40/1.57 (assume a554 (forall ((B_1 $$unsorted) (A_3 $$unsorted)) (=> (and (tptp.is_a B_1) (tptp.is_a A_3)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.insert_a A_3 tptp.bot_bot_fun_a_bool))) (= B_1 A_3)))))
% 1.40/1.57 (assume a555 (forall ((A_3 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D $$unsorted)) (=> (and (tptp.is_pname A_3) (tptp.is_pname B_1) (tptp.is_pname C_1) (tptp.is_pname D)) (= (= (tptp.insert_pname A_3 (tptp.insert_pname B_1 tptp.bot_bo844097828e_bool)) (tptp.insert_pname C_1 (tptp.insert_pname D tptp.bot_bo844097828e_bool))) (or (and (= A_3 C_1) (= B_1 D)) (and (= A_3 D) (= B_1 C_1)))))))
% 1.40/1.57 (assume a556 (forall ((A_3 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D $$unsorted)) (= (= (tptp.insert_nat A_3 (tptp.insert_nat B_1 tptp.bot_bot_fun_nat_bool)) (tptp.insert_nat C_1 (tptp.insert_nat D tptp.bot_bot_fun_nat_bool))) (or (and (= A_3 C_1) (= B_1 D)) (and (= A_3 D) (= B_1 C_1))))))
% 1.40/1.57 (assume a557 (forall ((A_3 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D $$unsorted)) (=> (and (tptp.is_a A_3) (tptp.is_a B_1) (tptp.is_a C_1) (tptp.is_a D)) (= (= (tptp.insert_a A_3 (tptp.insert_a B_1 tptp.bot_bot_fun_a_bool)) (tptp.insert_a C_1 (tptp.insert_a D tptp.bot_bot_fun_a_bool))) (or (and (= A_3 C_1) (= B_1 D)) (and (= A_3 D) (= B_1 C_1)))))))
% 1.40/1.57 (assume a558 (forall ((B_1 $$unsorted) (A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat B_1) (tptp.insert_nat A_3 tptp.bot_bot_fun_nat_bool))) (= B_1 A_3))))
% 1.40/1.57 (assume a559 (forall ((B_1 $$unsorted) (A_3 $$unsorted)) (=> (and (tptp.is_pname B_1) (tptp.is_pname A_3)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.insert_pname A_3 tptp.bot_bo844097828e_bool))) (= B_1 A_3)))))
% 1.40/1.57 (assume a560 (forall ((B_1 $$unsorted) (A_3 $$unsorted)) (=> (and (tptp.is_a B_1) (tptp.is_a A_3)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.insert_a A_3 tptp.bot_bot_fun_a_bool))) (= B_1 A_3)))))
% 1.40/1.57 (assume a561 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (not (= (tptp.insert_pname A_3 A_1) tptp.bot_bo844097828e_bool))))
% 1.40/1.57 (assume a562 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (not (= (tptp.insert_nat A_3 A_1) tptp.bot_bot_fun_nat_bool))))
% 1.40/1.57 (assume a563 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (not (= (tptp.insert_a A_3 A_1) tptp.bot_bot_fun_a_bool))))
% 1.40/1.57 (assume a564 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (not (= tptp.bot_bo844097828e_bool (tptp.insert_pname A_3 A_1)))))
% 1.40/1.57 (assume a565 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (not (= tptp.bot_bot_fun_nat_bool (tptp.insert_nat A_3 A_1)))))
% 1.40/1.57 (assume a566 (forall ((A_3 $$unsorted) (A_1 $$unsorted)) (not (= tptp.bot_bot_fun_a_bool (tptp.insert_a A_3 A_1)))))
% 1.40/1.57 (assume a567 (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) tptp.bot_bot_fun_nat_bool)) (= A_1 tptp.bot_bot_fun_nat_bool))))
% 1.40/1.57 (assume a568 (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) tptp.bot_bo844097828e_bool)) (= A_1 tptp.bot_bo844097828e_bool)))))
% 1.40/1.57 (assume a569 (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_a_bool A_1) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) tptp.bot_bot_fun_a_bool)) (= A_1 tptp.bot_bot_fun_a_bool)))))
% 1.40/1.57 (assume a570 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (= (= (tptp.image_pname_a F A_1) tptp.bot_bot_fun_a_bool) (= A_1 tptp.bot_bo844097828e_bool)))))
% 1.40/1.57 (assume a571 (forall ((F $$unsorted)) (= (tptp.image_pname_a F tptp.bot_bo844097828e_bool) tptp.bot_bot_fun_a_bool)))
% 1.40/1.57 (assume a572 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (= (= tptp.bot_bot_fun_a_bool (tptp.image_pname_a F A_1)) (= A_1 tptp.bot_bo844097828e_bool)))))
% 1.40/1.57 (assume a573 (forall ((Pa $$unsorted) (A_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa A_3)) (= (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.fequal_nat) A_3)) Pa)) (tptp.insert_nat A_3 tptp.bot_bot_fun_nat_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa A_3))) (= (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.fequal_nat) A_3)) Pa)) tptp.bot_bot_fun_nat_bool)))))
% 1.40/1.57 (assume a574 (forall ((Pa $$unsorted) (A_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_pname_bool Pa A_3)) (= (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A_3)) Pa)) (tptp.insert_pname A_3 tptp.bot_bo844097828e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_pname_bool Pa A_3))) (= (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A_3)) Pa)) tptp.bot_bo844097828e_bool)))))
% 1.40/1.57 (assume a575 (forall ((Pa $$unsorted) (A_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_a_bool Pa A_3)) (= (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool tptp.fequal_a) A_3)) Pa)) (tptp.insert_a A_3 tptp.bot_bot_fun_a_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_a_bool Pa A_3))) (= (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool tptp.fequal_a) A_3)) Pa)) tptp.bot_bot_fun_a_bool)))))
% 1.40/1.57 (assume a576 (forall ((Pa $$unsorted) (A_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa A_3)) (= (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool tptp.fequal_fun_nat_bool) A_3)) Pa)) (tptp.insert_fun_nat_bool A_3 tptp.bot_bo1701429464l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa A_3))) (= (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool tptp.fequal_fun_nat_bool) A_3)) Pa)) tptp.bot_bo1701429464l_bool)))))
% 1.40/1.57 (assume a577 (forall ((Pa $$unsorted) (A_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa A_3)) (= (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A_3)) Pa)) (tptp.insert1325755072e_bool A_3 tptp.bot_bo1649642514l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa A_3))) (= (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A_3)) Pa)) tptp.bot_bo1649642514l_bool)))))
% 1.40/1.57 (assume a578 (forall ((Pa $$unsorted) (A_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa A_3)) (= (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool tptp.fequal_fun_a_bool) A_3)) Pa)) (tptp.insert_fun_a_bool A_3 tptp.bot_bo1389914601l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa A_3))) (= (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool tptp.fequal_fun_a_bool) A_3)) Pa)) tptp.bot_bo1389914601l_bool)))))
% 1.40/1.57 (assume a579 (forall ((Pa $$unsorted) (A_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa A_3)) (= (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_n1699378549t_bool tptp.fequal_nat A_3)) Pa)) (tptp.insert_nat A_3 tptp.bot_bot_fun_nat_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa A_3))) (= (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_n1699378549t_bool tptp.fequal_nat A_3)) Pa)) tptp.bot_bot_fun_nat_bool)))))
% 1.40/1.57 (assume a580 (forall ((Pa $$unsorted) (A_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_pname_bool Pa A_3)) (= (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_p61793385e_bool tptp.fequal_pname A_3)) Pa)) (tptp.insert_pname A_3 tptp.bot_bo844097828e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_pname_bool Pa A_3))) (= (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_p61793385e_bool tptp.fequal_pname A_3)) Pa)) tptp.bot_bo844097828e_bool)))))
% 1.40/1.57 (assume a581 (forall ((Pa $$unsorted) (A_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_a_bool Pa A_3)) (= (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_a_fun_a_bool tptp.fequal_a A_3)) Pa)) (tptp.insert_a A_3 tptp.bot_bot_fun_a_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_a_bool Pa A_3))) (= (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_a_fun_a_bool tptp.fequal_a A_3)) Pa)) tptp.bot_bot_fun_a_bool)))))
% 1.40/1.57 (assume a582 (forall ((Pa $$unsorted) (A_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa A_3)) (= (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool A_3)) Pa)) (tptp.insert_fun_nat_bool A_3 tptp.bot_bo1701429464l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa A_3))) (= (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool A_3)) Pa)) tptp.bot_bo1701429464l_bool)))))
% 1.40/1.57 (assume a583 (forall ((Pa $$unsorted) (A_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa A_3)) (= (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool A_3)) Pa)) (tptp.insert1325755072e_bool A_3 tptp.bot_bo1649642514l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa A_3))) (= (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool A_3)) Pa)) tptp.bot_bo1649642514l_bool)))))
% 1.40/1.57 (assume a584 (forall ((Pa $$unsorted) (A_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa A_3)) (= (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool A_3)) Pa)) (tptp.insert_fun_a_bool A_3 tptp.bot_bo1389914601l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa A_3))) (= (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool A_3)) Pa)) tptp.bot_bo1389914601l_bool)))))
% 1.40/1.57 (assume a585 (forall ((A_3 $$unsorted)) (= (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.fequal_nat) A_3)) (tptp.insert_nat A_3 tptp.bot_bot_fun_nat_bool))))
% 1.40/1.57 (assume a586 (forall ((A_3 $$unsorted)) (= (tptp.collect_pname (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A_3)) (tptp.insert_pname A_3 tptp.bot_bo844097828e_bool))))
% 1.40/1.57 (assume a587 (forall ((A_3 $$unsorted)) (= (tptp.collect_a (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool tptp.fequal_a) A_3)) (tptp.insert_a A_3 tptp.bot_bot_fun_a_bool))))
% 1.40/1.57 (assume a588 (forall ((A_3 $$unsorted)) (= (tptp.collect_fun_nat_bool (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool tptp.fequal_fun_nat_bool) A_3)) (tptp.insert_fun_nat_bool A_3 tptp.bot_bo1701429464l_bool))))
% 1.40/1.57 (assume a589 (forall ((A_3 $$unsorted)) (= (tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A_3)) (tptp.insert1325755072e_bool A_3 tptp.bot_bo1649642514l_bool))))
% 1.40/1.57 (assume a590 (forall ((A_3 $$unsorted)) (= (tptp.collect_fun_a_bool (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool tptp.fequal_fun_a_bool) A_3)) (tptp.insert_fun_a_bool A_3 tptp.bot_bo1389914601l_bool))))
% 1.40/1.57 (assume a591 (forall ((A_3 $$unsorted)) (= (tptp.collect_nat (tptp.hAPP_n1699378549t_bool tptp.fequal_nat A_3)) (tptp.insert_nat A_3 tptp.bot_bot_fun_nat_bool))))
% 1.40/1.57 (assume a592 (forall ((A_3 $$unsorted)) (= (tptp.collect_pname (tptp.hAPP_p61793385e_bool tptp.fequal_pname A_3)) (tptp.insert_pname A_3 tptp.bot_bo844097828e_bool))))
% 1.40/1.57 (assume a593 (forall ((A_3 $$unsorted)) (= (tptp.collect_a (tptp.hAPP_a_fun_a_bool tptp.fequal_a A_3)) (tptp.insert_a A_3 tptp.bot_bot_fun_a_bool))))
% 1.40/1.57 (assume a594 (forall ((A_3 $$unsorted)) (= (tptp.collect_fun_nat_bool (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool A_3)) (tptp.insert_fun_nat_bool A_3 tptp.bot_bo1701429464l_bool))))
% 1.40/1.57 (assume a595 (forall ((A_3 $$unsorted)) (= (tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool A_3)) (tptp.insert1325755072e_bool A_3 tptp.bot_bo1649642514l_bool))))
% 1.40/1.57 (assume a596 (forall ((A_3 $$unsorted)) (= (tptp.collect_fun_a_bool (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool A_3)) (tptp.insert_fun_a_bool A_3 tptp.bot_bo1389914601l_bool))))
% 1.40/1.57 (assume a597 (forall ((A_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) (tptp.insert_nat X_3 tptp.bot_bot_fun_nat_bool))) (or (= A_1 tptp.bot_bot_fun_nat_bool) (= A_1 (tptp.insert_nat X_3 tptp.bot_bot_fun_nat_bool))))))
% 1.40/1.57 (assume a598 (forall ((A_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) (tptp.insert_pname X_3 tptp.bot_bo844097828e_bool))) (or (= A_1 tptp.bot_bo844097828e_bool) (= A_1 (tptp.insert_pname X_3 tptp.bot_bo844097828e_bool)))))))
% 1.40/1.57 (assume a599 (forall ((A_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.is_fun_a_bool A_1) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) (tptp.insert_a X_3 tptp.bot_bot_fun_a_bool))) (or (= A_1 tptp.bot_bot_fun_a_bool) (= A_1 (tptp.insert_a X_3 tptp.bot_bot_fun_a_bool)))))))
% 1.40/1.57 (assume a600 (forall ((C_1 $$unsorted) (X_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (= (tptp.image_pname_a (tptp.cOMBK_a_pname C_1) A_1) (tptp.insert_a C_1 tptp.bot_bot_fun_a_bool)))))
% 1.40/1.57 (assume a601 (forall ((C_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (and (=> (= A_1 tptp.bot_bo844097828e_bool) (= (tptp.image_pname_a (tptp.cOMBK_a_pname C_1) A_1) tptp.bot_bot_fun_a_bool)) (=> (not (= A_1 tptp.bot_bo844097828e_bool)) (= (tptp.image_pname_a (tptp.cOMBK_a_pname C_1) A_1) (tptp.insert_a C_1 tptp.bot_bot_fun_a_bool)))))))
% 1.40/1.57 (assume a602 (forall ((X_9 $$unsorted) (Y_8 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_9) Y_8))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_8) X_9)))))
% 1.40/1.57 (assume a603 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_3)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Z_1) X_3))))))
% 1.40/1.57 (assume a604 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_3)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Z_1) X_3))))))
% 1.40/1.57 (assume a605 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_3)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Z_1) X_3))))))
% 1.40/1.57 (assume a606 (forall ((Z_3 $$unsorted) (Y_7 $$unsorted) (X_8 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_7) X_8)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Z_3) Y_7)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Z_3) X_8))))))
% 1.40/1.57 (assume a607 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Y_2) X_3)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Z_1) X_3))))))
% 1.40/1.57 (assume a608 (forall ((Y_2 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_3)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_3) Y_2)) (= (tptp.hBOOL X_3) (tptp.hBOOL Y_2))))))
% 1.40/1.57 (assume a609 (forall ((Y_2 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_3)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_3) Y_2)) (= X_3 Y_2)))))
% 1.40/1.57 (assume a610 (forall ((Y_2 $$unsorted) (X_3 $$unsorted)) (=> (and (tptp.is_fun_pname_bool Y_2) (tptp.is_fun_pname_bool X_3)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_3)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_3) Y_2)) (= X_3 Y_2))))))
% 1.40/1.57 (assume a611 (forall ((Y_6 $$unsorted) (X_7 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_6) X_7)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_7) Y_6)) (= X_7 Y_6)))))
% 1.40/1.57 (assume a612 (forall ((Y_2 $$unsorted) (X_3 $$unsorted)) (=> (and (tptp.is_fun_a_bool Y_2) (tptp.is_fun_a_bool X_3)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Y_2) X_3)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_3) Y_2)) (= X_3 Y_2))))))
% 1.40/1.57 (assume a613 (forall ((Z_1 $$unsorted) (X_3 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_3) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_3) Z_1))))))
% 1.40/1.57 (assume a614 (forall ((Z_1 $$unsorted) (X_3 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_3) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_3) Z_1))))))
% 1.40/1.57 (assume a615 (forall ((Z_1 $$unsorted) (X_3 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_3) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_3) Z_1))))))
% 1.40/1.57 (assume a616 (forall ((Z_2 $$unsorted) (X_6 $$unsorted) (Y_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_6) Y_5)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_5) Z_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_6) Z_2))))))
% 1.40/1.57 (assume a617 (forall ((Z_1 $$unsorted) (X_3 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_3) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_3) Z_1))))))
% 1.40/1.57 (assume a618 (forall ((X_3 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_3) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_3)) (= (tptp.hBOOL X_3) (tptp.hBOOL Y_2))))))
% 1.40/1.57 (assume a619 (forall ((X_3 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_3) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_3)) (= X_3 Y_2)))))
% 1.40/1.57 (assume a620 (forall ((X_3 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun_pname_bool X_3) (tptp.is_fun_pname_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_3) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_3)) (= X_3 Y_2))))))
% 1.40/1.57 (assume a621 (forall ((X_5 $$unsorted) (Y_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_5) Y_4)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_4) X_5)) (= X_5 Y_4)))))
% 1.40/1.57 (assume a622 (forall ((X_3 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun_a_bool X_3) (tptp.is_fun_a_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_3) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Y_2) X_3)) (= X_3 Y_2))))))
% 1.40/1.57 (assume a623 (forall ((C_1 $$unsorted) (B_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool B_1) A_3)) (=> (= (tptp.hBOOL B_1) (tptp.hBOOL C_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool C_1) A_3))))))
% 1.40/1.57 (assume a624 (forall ((C_1 $$unsorted) (B_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_1) A_3)) (=> (= B_1 C_1) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_1) A_3))))))
% 1.40/1.57 (assume a625 (forall ((C_1 $$unsorted) (B_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) A_3)) (=> (= B_1 C_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_1) A_3))))))
% 1.40/1.57 (assume a626 (forall ((C_5 $$unsorted) (B_5 $$unsorted) (A_7 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_5) A_7)) (=> (= B_5 C_5) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_5) A_7))))))
% 1.40/1.57 (assume a627 (forall ((C_1 $$unsorted) (B_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_1) A_3)) (=> (= B_1 C_1) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_1) A_3))))))
% 1.40/1.57 (assume a628 (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_3) B_1)) (=> (= (tptp.hBOOL B_1) (tptp.hBOOL C_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_3) C_1))))))
% 1.40/1.57 (assume a629 (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_3) B_1)) (=> (= B_1 C_1) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_3) C_1))))))
% 1.40/1.57 (assume a630 (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_3) B_1)) (=> (= B_1 C_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_3) C_1))))))
% 1.40/1.57 (assume a631 (forall ((C_4 $$unsorted) (A_6 $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_6) B_4)) (=> (= B_4 C_4) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_6) C_4))))))
% 1.40/1.57 (assume a632 (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_3) B_1)) (=> (= B_1 C_1) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_3) C_1))))))
% 1.40/1.57 (assume a633 (forall ((C_1 $$unsorted) (B_1 $$unsorted) (A_3 $$unsorted)) (=> (= (tptp.hBOOL A_3) (tptp.hBOOL B_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool C_1) B_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool C_1) A_3))))))
% 1.40/1.57 (assume a634 (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_1 $$unsorted)) (=> (= A_3 B_1) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_1) B_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_1) A_3))))))
% 1.40/1.57 (assume a635 (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_1 $$unsorted)) (=> (= A_3 B_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_1) B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_1) A_3))))))
% 1.40/1.57 (assume a636 (forall ((C_3 $$unsorted) (A_5 $$unsorted) (B_3 $$unsorted)) (=> (= A_5 B_3) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_3) B_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_3) A_5))))))
% 1.40/1.57 (assume a637 (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_1 $$unsorted)) (=> (= A_3 B_1) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_1) B_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_1) A_3))))))
% 1.40/1.57 (assume a638 (forall ((C_1 $$unsorted) (B_1 $$unsorted) (A_3 $$unsorted)) (=> (= (tptp.hBOOL A_3) (tptp.hBOOL B_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool B_1) C_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_3) C_1))))))
% 1.40/1.57 (assume a639 (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_1 $$unsorted)) (=> (= A_3 B_1) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_1) C_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_3) C_1))))))
% 1.40/1.57 (assume a640 (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_1 $$unsorted)) (=> (= A_3 B_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) C_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_3) C_1))))))
% 1.40/1.57 (assume a641 (forall ((C_2 $$unsorted) (A_4 $$unsorted) (B_2 $$unsorted)) (=> (= A_4 B_2) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_2) C_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_4) C_2))))))
% 1.40/1.57 (assume a642 (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_1 $$unsorted)) (=> (= A_3 B_1) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_1) C_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_3) C_1))))))
% 1.40/1.57 (assume a643 (forall ((Y_2 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_3)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_3) Y_2)) (= (tptp.hBOOL X_3) (tptp.hBOOL Y_2))))))
% 1.40/1.57 (assume a644 (forall ((Y_2 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_3)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_3) Y_2)) (= X_3 Y_2)))))
% 1.40/1.57 (assume a645 (forall ((Y_2 $$unsorted) (X_3 $$unsorted)) (=> (and (tptp.is_fun_pname_bool Y_2) (tptp.is_fun_pname_bool X_3)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_3)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_3) Y_2)) (= X_3 Y_2))))))
% 1.40/1.57 (assume a646 (forall ((Y_2 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_2) X_3)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_3) Y_2)) (= X_3 Y_2)))))
% 1.40/1.57 (assume a647 (forall ((Y_2 $$unsorted) (X_3 $$unsorted)) (=> (and (tptp.is_fun_a_bool Y_2) (tptp.is_fun_a_bool X_3)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Y_2) X_3)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_3) Y_2)) (= X_3 Y_2))))))
% 1.40/1.57 (assume a648 (forall ((Y_2 $$unsorted) (X_3 $$unsorted)) (=> (= (tptp.hBOOL X_3) (tptp.hBOOL Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_3) Y_2)))))
% 1.40/1.57 (assume a649 (forall ((X_3 $$unsorted) (Y_2 $$unsorted)) (=> (= X_3 Y_2) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_3) Y_2)))))
% 1.40/1.57 (assume a650 (forall ((X_3 $$unsorted) (Y_2 $$unsorted)) (=> (= X_3 Y_2) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_3) Y_2)))))
% 1.40/1.57 (assume a651 (forall ((X_4 $$unsorted) (Y_3 $$unsorted)) (=> (= X_4 Y_3) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_4) Y_3)))))
% 1.40/1.57 (assume a652 (forall ((X_3 $$unsorted) (Y_2 $$unsorted)) (=> (= X_3 Y_2) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_3) Y_2)))))
% 1.40/1.57 (assume a653 (forall ((Y_2 $$unsorted) (X_3 $$unsorted)) (= (= (tptp.hBOOL X_3) (tptp.hBOOL Y_2)) (and (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_3) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_3))))))
% 1.40/1.57 (assume a654 (forall ((X_3 $$unsorted) (Y_2 $$unsorted)) (= (= X_3 Y_2) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_3) Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_3))))))
% 1.40/1.57 (assume a655 (forall ((X_3 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun_pname_bool X_3) (tptp.is_fun_pname_bool Y_2)) (= (= X_3 Y_2) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_3) Y_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_3)))))))
% 1.40/1.57 (assume a656 (forall ((X_3 $$unsorted) (Y_2 $$unsorted)) (= (= X_3 Y_2) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_3) Y_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_2) X_3))))))
% 1.40/1.57 (assume a657 (forall ((X_3 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun_a_bool X_3) (tptp.is_fun_a_bool Y_2)) (= (= X_3 Y_2) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_3) Y_2)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Y_2) X_3)))))))
% 1.40/1.57 (assume a658 (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_2)))))
% 1.40/1.57 (assume a659 (forall ((Pa $$unsorted) (A_1 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F_1) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa tptp.bot_bot_fun_nat_bool)) (=> (forall ((A_2 $$unsorted) (F_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa (tptp.insert_nat A_2 F_2)))))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa F_1))))))))
% 1.40/1.57 (assume a660 (forall ((Pa $$unsorted) (A_1 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool F_1) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa tptp.bot_bo844097828e_bool)) (=> (forall ((A_2 $$unsorted) (F_2 $$unsorted)) (=> (and (tptp.is_pname A_2) (tptp.is_fun_pname_bool F_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa (tptp.insert_pname A_2 F_2))))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa F_1))))))))
% 1.40/1.57 (assume a661 (forall ((Pa $$unsorted) (A_1 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool F_1) A_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa tptp.bot_bot_fun_a_bool)) (=> (forall ((A_2 $$unsorted) (F_2 $$unsorted)) (=> (and (tptp.is_a A_2) (tptp.is_fun_a_bool F_2)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_2)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa (tptp.insert_a A_2 F_2))))))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa F_1))))))))
% 1.40/1.57 (assume a662 (forall ((Pa $$unsorted) (A_1 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool F_1) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool Pa tptp.bot_bo1701429464l_bool)) (=> (forall ((A_2 $$unsorted) (F_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool F_2)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool A_2) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool A_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool Pa (tptp.insert_fun_nat_bool A_2 F_2)))))))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool Pa F_1))))))))
% 1.40/1.57 (assume a663 (forall ((Pa $$unsorted) (A_1 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool F_1) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool Pa tptp.bot_bo1649642514l_bool)) (=> (forall ((A_2 $$unsorted) (F_2 $$unsorted)) (=> (and (tptp.is_fun_pname_bool A_2) (tptp.is_fun1661590463l_bool F_2)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_2)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_2) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool Pa (tptp.insert1325755072e_bool A_2 F_2))))))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool Pa F_1))))))))
% 1.40/1.57 (assume a664 (forall ((Pa $$unsorted) (A_1 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool F_1) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool Pa tptp.bot_bo1389914601l_bool)) (=> (forall ((A_2 $$unsorted) (F_2 $$unsorted)) (=> (and (tptp.is_fun_a_bool A_2) (tptp.is_fun949378684l_bool F_2)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool F_2)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool A_2) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool A_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool Pa (tptp.insert_fun_a_bool A_2 F_2))))))))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool Pa F_1))))))))
% 1.40/1.57 (assume a665 (forall ((Pn $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call Pn) G)) (tptp.insert_a (tptp.mgt (tptp.the_com (tptp.body Pn))) tptp.bot_bot_fun_a_bool))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p G) (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call Pn) tptp.bot_bot_fun_a_bool))))))
% 1.40/1.57 (assume a666 (forall ((Pa $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool Pa tptp.bot_bo1701429464l_bool)) (=> (forall ((X_1 $$unsorted) (F_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool F_2)) (=> (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool X_1) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool Pa (tptp.insert_fun_nat_bool X_1 F_2))))))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool Pa F_1)))))))
% 1.40/1.57 (assume a667 (forall ((Pa $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool Pa tptp.bot_bo1649642514l_bool)) (=> (forall ((X_1 $$unsorted) (F_2 $$unsorted)) (=> (and (tptp.is_fun_pname_bool X_1) (tptp.is_fun1661590463l_bool F_2)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_2)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool Pa (tptp.insert1325755072e_bool X_1 F_2)))))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool Pa F_1)))))))
% 1.40/1.57 (assume a668 (forall ((Pa $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool Pa tptp.bot_bo1389914601l_bool)) (=> (forall ((X_1 $$unsorted) (F_2 $$unsorted)) (=> (and (tptp.is_fun_a_bool X_1) (tptp.is_fun949378684l_bool F_2)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool F_2)) (=> (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool X_1) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool Pa (tptp.insert_fun_a_bool X_1 F_2)))))))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool Pa F_1)))))))
% 1.40/1.57 (assume a669 (forall ((U $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_2) (tptp.hAPP_nat_nat F N_2)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool (tptp.cOMBB_800536526ol_nat tptp.ord_less_eq_nat F)) U)))))))
% 1.40/1.57 (assume a670 (forall ((Pn $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname Pn) tptp.u)) (tptp.hBOOL (tptp.wt (tptp.the_com (tptp.body Pn)))))))
% 1.40/1.57 (assume a671 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) tptp.one_one_nat)) N))))
% 1.40/1.57 (assume a672 (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc N)) tptp.one_one_nat) N)))
% 1.40/1.57 (assume a673 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_1)) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.nat_case_bool tptp.fFalse (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1)) Na)))))
% 1.40/1.57 (assume a674 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) N)))))
% 1.40/1.57 (assume a675 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.suc M)) N) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) N)))))
% 1.40/1.57 (assume a676 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.suc M)) N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) (tptp.hAPP_nat_nat tptp.suc N)))))
% 1.40/1.57 (assume a677 (forall ((M_1 $$unsorted) (K_2 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_1) K_2) (tptp.hAPP_nat_nat (tptp.plus_plus_nat Na) K_2)) (= M_1 Na))))
% 1.40/1.57 (assume a678 (forall ((K_2 $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat K_2) M_1) (tptp.hAPP_nat_nat (tptp.plus_plus_nat K_2) Na)) (= M_1 Na))))
% 1.40/1.57 (assume a679 (forall ((M $$unsorted) (N $$unsorted) (K $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) N)) K) (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) K)))))
% 1.40/1.57 (assume a680 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat X) (tptp.hAPP_nat_nat (tptp.plus_plus_nat Y) Z)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat Y) (tptp.hAPP_nat_nat (tptp.plus_plus_nat X) Z)))))
% 1.40/1.57 (assume a681 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) M))))
% 1.40/1.57 (assume a682 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) N)) N) M)))
% 1.40/1.57 (assume a683 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) M)) N) M)))
% 1.40/1.57 (assume a684 (forall ((I $$unsorted) (J_2 $$unsorted) (K $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat I) J_2)) K) (tptp.hAPP_nat_nat (tptp.minus_minus_nat I) (tptp.hAPP_nat_nat (tptp.plus_plus_nat J_2) K)))))
% 1.40/1.57 (assume a685 (forall ((K $$unsorted) (M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat K) M)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat K) N)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N))))
% 1.40/1.57 (assume a686 (forall ((M $$unsorted) (K $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) K)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) K)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N))))
% 1.40/1.57 (assume a687 (forall ((N $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) N)))))
% 1.40/1.57 (assume a688 (forall ((N $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) M)))))
% 1.40/1.57 (assume a689 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)) (exists ((K_1 $$unsorted)) (= Na (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_1) K_1))))))
% 1.40/1.57 (assume a690 (forall ((K_2 $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat K_2) M_1)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat K_2) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)))))
% 1.40/1.57 (assume a691 (forall ((M $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) (tptp.hAPP_nat_nat (tptp.plus_plus_nat J_2) M))))))
% 1.40/1.57 (assume a692 (forall ((M $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) J_2))))))
% 1.40/1.57 (assume a693 (forall ((K $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) K)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat J_2) K))))))
% 1.40/1.57 (assume a694 (forall ((K $$unsorted) (L $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) L)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) K)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat J_2) L)))))))
% 1.40/1.57 (assume a695 (forall ((M $$unsorted) (K $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) K)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) N)))))
% 1.40/1.57 (assume a696 (forall ((M $$unsorted) (K $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) K)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))))
% 1.40/1.57 (assume a697 (forall ((M $$unsorted) (K $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) K)) N)) (not (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) N))))))))
% 1.40/1.57 (assume a698 (forall ((I $$unsorted) (K $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) J_2)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat J_2) I)) K) (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_2) K)) I)))))
% 1.40/1.57 (assume a699 (forall ((I $$unsorted) (K $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) J_2)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_2) K)) I) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat J_2) I)) K)))))
% 1.40/1.57 (assume a700 (forall ((I $$unsorted) (K $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) J_2)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) J_2)) K) (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_2) K))))))
% 1.40/1.57 (assume a701 (forall ((K_2 $$unsorted) (I_1 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J_1)) (= (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_1) I_1) K_2) (= J_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat K_2) I_1))))))
% 1.40/1.57 (assume a702 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) N) M))))
% 1.40/1.57 (assume a703 (forall ((I_1 $$unsorted) (K_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J_1)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_1) K_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_1) K_2)) J_1))))))
% 1.40/1.57 (assume a704 (forall ((I $$unsorted) (K $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) J_2)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_2) K)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) J_2)) K)))))
% 1.40/1.57 (assume a705 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) M))))
% 1.40/1.57 (assume a706 (forall ((M $$unsorted) (K $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) M)) K))))))
% 1.40/1.57 (assume a707 (forall ((J_1 $$unsorted) (K_2 $$unsorted) (I_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_1) K_2)) I_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J_1) (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_1) K_2))))))
% 1.40/1.57 (assume a708 (forall ((I $$unsorted) (K $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) J_2)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat I) (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_2) K)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) K)) J_2)))))
% 1.40/1.57 (assume a709 (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat tptp.suc N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) tptp.one_one_nat))))
% 1.40/1.57 (assume a710 (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat tptp.suc N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat tptp.one_one_nat) N))))
% 1.40/1.57 (assume a711 (forall ((M $$unsorted) (K $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) J_2)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_2) K))) M) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc J_2)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat K) M))))))
% 1.40/1.57 (assume a712 (forall ((M $$unsorted) (K $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) J_2)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_2) K))) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) K)) (tptp.hAPP_nat_nat tptp.suc J_2))))))
% 1.40/1.57 (assume a713 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) (tptp.hAPP_nat_nat (tptp.plus_plus_nat Y) Z))))))
% 1.40/1.57 (assume a714 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) Z)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) (tptp.hAPP_nat_nat (tptp.plus_plus_nat Y) Z))))))
% 1.40/1.57 (assume a715 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat tptp.suc N)))))
% 1.40/1.57 (assume a716 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc N))))))
% 1.40/1.57 (assume a717 (forall ((K_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) K_2))))))
% 1.40/1.57 (assume a718 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) (tptp.hAPP_nat_nat (tptp.plus_plus_nat Y) Z))))))
% 1.40/1.57 (assume a719 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) Z)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) (tptp.hAPP_nat_nat (tptp.plus_plus_nat Y) Z))))))
% 1.40/1.57 (assume a720 (forall ((I $$unsorted) (J_2 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) J_2)) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) K)))))
% 1.40/1.57 (assume a721 (forall ((M $$unsorted) (N $$unsorted) (K $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K) L)) (=> (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) L) (tptp.hAPP_nat_nat (tptp.plus_plus_nat K) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))))))
% 1.40/1.57 (assume a722 (forall ((K $$unsorted) (L $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K) L)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) K)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat J_2) L)))))))
% 1.40/1.57 (assume a723 (forall ((K $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) K)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat J_2) K))))))
% 1.40/1.57 (assume a724 (forall ((M $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) J_2))))))
% 1.40/1.57 (assume a725 (forall ((M $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) (tptp.hAPP_nat_nat (tptp.plus_plus_nat J_2) M))))))
% 1.40/1.57 (assume a726 (forall ((K_2 $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat K_2) M_1)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat K_2) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)))))
% 1.40/1.57 (assume a727 (forall ((J_2 $$unsorted) (I $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat J_2) I)) I)))))
% 1.40/1.57 (assume a728 (forall ((I $$unsorted) (J_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) J_2)) I)))))
% 1.40/1.57 (assume a729 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc N))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))))
% 1.40/1.57 (assume a730 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))))
% 1.40/1.57 (assume a731 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) (tptp.hAPP_nat_nat tptp.suc N))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))) (= M N)))))
% 1.40/1.57 (assume a732 (forall ((K $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J_2) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc I)) K))))))
% 1.40/1.57 (assume a733 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (=> (not (= (tptp.hAPP_nat_nat tptp.suc M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M)) N))))))
% 1.40/1.57 (assume a734 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) (tptp.hAPP_nat_nat tptp.suc N))))))
% 1.40/1.57 (assume a735 (forall ((N $$unsorted) (M $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat tptp.suc M))) (= M N)))))
% 1.40/1.57 (assume a736 (forall ((Na $$unsorted) (M_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M_1))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc M_1))) (= Na M_1)))))
% 1.40/1.57 (assume a737 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_1)) (tptp.hAPP_nat_nat tptp.suc Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)))))
% 1.40/1.57 (assume a738 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) (tptp.hAPP_nat_nat tptp.suc Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (= M_1 Na)))))
% 1.40/1.57 (assume a739 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc M_1))))))
% 1.40/1.57 (assume a740 (forall ((M $$unsorted) (N $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (= M N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))))
% 1.40/1.57 (assume a741 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (=> (not (= M N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))))))
% 1.40/1.57 (assume a742 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))))
% 1.40/1.57 (assume a743 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (= M_1 Na)))))
% 1.40/1.57 (assume a744 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)) (not (= M_1 Na))))))
% 1.40/1.57 (assume a745 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) L)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat L) N)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat L) M)))))))
% 1.40/1.57 (assume a746 (forall ((N $$unsorted) (J_2 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J_2) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_2) N)) K)))))
% 1.40/1.57 (assume a747 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) Y)))))
% 1.40/1.57 (assume a748 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N)))))
% 1.40/1.57 (assume a749 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (not (= M_1 Na)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M_1))))))
% 1.40/1.57 (assume a750 (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (= X Y)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) Y))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y) X))))))
% 1.40/1.57 (assume a751 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N)))))
% 1.40/1.57 (assume a752 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) M)) (not (= M N)))))
% 1.40/1.57 (assume a753 (forall ((S $$unsorted) (T $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat S) T)) (not (= S T)))))
% 1.40/1.57 (assume a754 (forall ((Pa $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M_1))) (=> (=> (= M_1 Na) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M_1))) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M_1)))))))
% 1.40/1.57 (assume a755 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_1)) (exists ((M_2 $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) M_2))))))))
% 1.40/1.57 (assume a756 (forall ((Na $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) Na))) Na)))
% 1.40/1.57 (assume a757 (forall ((Pa $$unsorted) (I_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj Pa) (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) I_1)))))))
% 1.40/1.57 (assume a758 (forall ((I $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) M))))))
% 1.40/1.57 (assume a759 (forall ((I $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) I))))))
% 1.40/1.57 (assume a760 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (exists ((K_1 $$unsorted)) (= Na (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_1) K_1)))))))
% 1.40/1.57 (assume a761 (forall ((Na $$unsorted) (M_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) M_1)))))
% 1.40/1.57 (assume a762 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) (tptp.hAPP_nat_nat tptp.suc Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)))))
% 1.40/1.57 (assume a763 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_1)) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)))))
% 1.40/1.57 (assume a764 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) (tptp.hAPP_nat_nat tptp.suc N))))))
% 1.40/1.57 (assume a765 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M)) N)))))
% 1.40/1.57 (assume a766 (forall ((M_1 $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc M_1))) (= Na M_1)))))
% 1.40/1.57 (assume a767 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))))
% 1.40/1.57 (assume a768 (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) (tptp.hAPP_nat_nat tptp.suc M)))))
% 1.40/1.57 (assume a769 (forall ((M $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) M))))
% 1.40/1.57 (assume a770 (forall ((I_1 $$unsorted) (J_1 $$unsorted) (K_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_1) K_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_1) K_2)) J_1)))))
% 1.40/1.57 (assume a771 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A) B)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C) A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat A) C)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat B) C)))))))
% 1.40/1.57 (assume a772 (forall ((Na $$unsorted) (K_2 $$unsorted) (M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) M_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) Na)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M_1) K_2)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat Na) K_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)))))))
% 1.40/1.57 (assume a773 (forall ((X_1 $$unsorted)) (= (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc X_1)))))
% 1.40/1.57 (assume a774 (forall ((M_1 $$unsorted) (K_2 $$unsorted) (F $$unsorted)) (=> (forall ((M_2 $$unsorted) (N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat F M_2)) (tptp.hAPP_nat_nat F N_2))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat F M_1)) K_2)) (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_1) K_2)))))))
% 1.40/1.57 (assume a775 (forall ((Pa $$unsorted) (I_1 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa J_1)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc I_2))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa I_2))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa I_1)))))))
% 1.40/1.57 (assume a776 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (exists ((K_1 $$unsorted)) (= N (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) K_1)))))))
% 1.40/1.57 (assume a777 (forall ((Na $$unsorted) (N_1 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Na)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_1)))))
% 1.40/1.57 (assume a778 (forall ((I_1 $$unsorted) (J_1 $$unsorted) (F $$unsorted)) (=> (forall ((I_2 $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat F I_2)) (tptp.hAPP_nat_nat F J))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F I_1)) (tptp.hAPP_nat_nat F J_1)))))))
% 1.40/1.57 (assume a779 (forall ((I $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc I)) K)) (not (forall ((J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J)) (not (= K (tptp.hAPP_nat_nat tptp.suc J)))))))))
% 1.40/1.57 (assume a780 (forall ((I $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) K)) (=> (not (= K (tptp.hAPP_nat_nat tptp.suc I))) (not (forall ((J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J)) (not (= K (tptp.hAPP_nat_nat tptp.suc J))))))))))
% 1.40/1.57 (assume a781 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))))
% 1.40/1.57 (assume a782 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))))
% 1.40/1.57 (assume a783 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat tptp.suc N)))))
% 1.40/1.57 (assume a784 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_1) Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (or (and (= M_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (= Na tptp.zero_zero_nat)) (and (= M_1 tptp.zero_zero_nat) (= Na (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 1.40/1.57 (assume a785 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat) (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_1) Na)) (or (and (= M_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (= Na tptp.zero_zero_nat)) (and (= M_1 tptp.zero_zero_nat) (= Na (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 1.40/1.57 (assume a786 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) M)) tptp.zero_zero_nat)))
% 1.40/1.57 (assume a787 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N) tptp.zero_zero_nat))))
% 1.40/1.57 (assume a788 (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M_1) Na) tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)))))
% 1.40/1.57 (assume a789 (= tptp.one_one_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))
% 1.40/1.57 (assume a790 (forall ((M $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N) tptp.zero_zero_nat) (=> (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) M) tptp.zero_zero_nat) (= M N)))))
% 1.40/1.57 (assume a791 (forall ((M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) M) tptp.zero_zero_nat)))
% 1.40/1.57 (assume a792 (forall ((M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) tptp.zero_zero_nat) M)))
% 1.40/1.57 (assume a793 (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)))
% 1.40/1.57 (assume a794 (forall ((M $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc M) tptp.zero_zero_nat))))
% 1.40/1.57 (assume a795 (forall ((M $$unsorted)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc M)))))
% 1.40/1.57 (assume a796 (forall ((Nat_1 $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc Nat_1) tptp.zero_zero_nat))))
% 1.40/1.57 (assume a797 (forall ((M $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc M) tptp.zero_zero_nat))))
% 1.40/1.57 (assume a798 (forall ((Nat $$unsorted)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc Nat)))))
% 1.40/1.57 (assume a799 (forall ((M $$unsorted)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc M)))))
% 1.40/1.57 (assume a800 (= tptp.bot_bot_nat tptp.zero_zero_nat))
% 1.40/1.57 (assume a801 (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) tptp.zero_zero_nat)) (= Na tptp.zero_zero_nat))))
% 1.40/1.57 (assume a802 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))))
% 1.40/1.57 (assume a803 (forall ((P $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P))) (not (tptp.hBOOL P)))))
% 1.40/1.57 (assume a804 (forall ((P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P)))))
% 1.40/1.57 (assume a805 (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q)))))
% 1.40/1.57 (assume a806 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL P))))
% 1.40/1.57 (assume a807 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL Q))))
% 1.40/1.57 (assume a808 (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q)))))
% 1.40/1.57 (assume a809 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q)))))
% 1.40/1.57 (assume a810 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q))) (tptp.hBOOL P) (tptp.hBOOL Q))))
% 1.40/1.57 (assume a811 (not (tptp.hBOOL tptp.fFalse)))
% 1.40/1.57 (assume a812 (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))))
% 1.40/1.57 (assume a813 (forall ((Q $$unsorted) (P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q)))))
% 1.40/1.57 (assume a814 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q)))))
% 1.40/1.57 (assume a815 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q))) (not (tptp.hBOOL P)) (tptp.hBOOL Q))))
% 1.40/1.57 (assume a816 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_a X) (tptp.is_a Y)) (or (not (tptp.hBOOL (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool tptp.fequal_a X) Y))) (= X Y)))))
% 1.40/1.57 (assume a817 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool tptp.fequal_a X) Y)))))
% 1.40/1.57 (assume a818 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat X) Y))) (= X Y))))
% 1.40/1.57 (assume a819 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat X) Y)))))
% 1.40/1.57 (assume a820 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_pname X) (tptp.is_pname Y)) (or (not (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname X) Y))) (= X Y)))))
% 1.40/1.57 (assume a821 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname X) Y)))))
% 1.40/1.57 (assume a822 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_a_bool (tptp.cOMBK_bool_a P) Q) P))))
% 1.40/1.57 (assume a823 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_a P) (= (tptp.hAPP_pname_a (tptp.cOMBK_a_pname P) Q) P))))
% 1.40/1.57 (assume a824 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool P) Q) R) (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool P R) Q))))
% 1.40/1.57 (assume a825 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_nat_bool (tptp.cOMBK_bool_nat P) Q) P))))
% 1.40/1.57 (assume a826 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_fun_a_bool X) (tptp.is_fun_a_bool Y)) (or (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool X) Y))) (= X Y)))))
% 1.40/1.57 (assume a827 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool X) Y)))))
% 1.40/1.57 (assume a828 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_pname_bool (tptp.cOMBK_bool_pname P) Q) P))))
% 1.40/1.57 (assume a829 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a_bool (tptp.hAPP_nat_fun_a_bool (tptp.cOMBC_a_nat_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_a_fun_nat_bool P R) Q))))
% 1.40/1.57 (assume a830 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_a_fun_nat_bool (tptp.cOMBC_nat_a_bool P) Q) R) (tptp.hAPP_a_bool (tptp.hAPP_nat_fun_a_bool P R) Q))))
% 1.40/1.57 (assume a831 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a_bool (tptp.cOMBB_bool_bool_a P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_a_bool Q R)))))
% 1.40/1.57 (assume a832 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a_bool (tptp.cOMBS_a_bool_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_a_fun_bool_bool P R) (tptp.hAPP_a_bool Q R)))))
% 1.40/1.57 (assume a833 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a_bool (tptp.hAPP_p1534023578a_bool (tptp.cOMBC_a_pname_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_a93125764e_bool P R) Q))))
% 1.40/1.57 (assume a834 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_a93125764e_bool (tptp.cOMBC_pname_a_bool P) Q) R) (tptp.hAPP_a_bool (tptp.hAPP_p1534023578a_bool P R) Q))))
% 1.40/1.57 (assume a835 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool X) Y))) (= X Y))))
% 1.40/1.57 (assume a836 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool X) Y)))))
% 1.40/1.57 (assume a837 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_fun_pname_bool X) (tptp.is_fun_pname_bool Y)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool X) Y))) (= X Y)))))
% 1.40/1.57 (assume a838 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool X) Y)))))
% 1.40/1.57 (assume a839 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a_fun_a_bool (tptp.cOMBB_a_fun_a_bool_a P Q) R) (tptp.hAPP_a_fun_a_bool P (tptp.hAPP_a_a Q R)))))
% 1.40/1.57 (assume a840 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P R) Q))))
% 1.40/1.57 (assume a841 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.cOMBB_bool_bool_nat P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_nat_bool Q R)))))
% 1.40/1.57 (assume a842 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBK_324466864a_bool P) Q) P))))
% 1.40/1.57 (assume a843 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.cOMBS_nat_bool_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_n1006566506l_bool P R) (tptp.hAPP_nat_bool Q R)))))
% 1.40/1.57 (assume a844 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_n1025906991e_bool (tptp.cOMBC_pname_nat_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_p1499970991t_bool P R) Q))))
% 1.40/1.57 (assume a845 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_p1499970991t_bool (tptp.cOMBC_nat_pname_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_n1025906991e_bool P R) Q))))
% 1.40/1.57 (assume a846 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.cOMBB_647938656_pname P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_pname_bool Q R)))))
% 1.40/1.57 (assume a847 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.cOMBS_568398431l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_p393069232l_bool P R) (tptp.hAPP_pname_bool Q R)))))
% 1.40/1.57 (assume a848 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool P R) Q))))
% 1.40/1.57 (assume a849 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_fun_a_bool (tptp.cOMBB_1885489796ol_nat P Q) R) (tptp.hAPP_a_fun_a_bool P (tptp.hAPP_nat_a Q R)))))
% 1.40/1.57 (assume a850 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a_bool (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool P) Q) R) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool P R) Q))))
% 1.40/1.57 (assume a851 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p1534023578a_bool (tptp.cOMBB_1897541054_pname P Q) R) (tptp.hAPP_a_fun_a_bool P (tptp.hAPP_pname_a Q R)))))
% 1.40/1.57 (assume a852 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f54304608l_bool (tptp.cOMBK_1994329625t_bool P) Q) P))))
% 1.40/1.57 (assume a853 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBK_1857069011e_bool P) Q) P))))
% 1.40/1.57 (assume a854 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a_fun_nat_bool (tptp.cOMBB_1321347587bool_a P Q) R) (tptp.hAPP_n1699378549t_bool P (tptp.hAPP_a_nat Q R)))))
% 1.40/1.57 (assume a855 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a_bool (tptp.hAPP_f1549043526a_bool (tptp.cOMBC_777206479l_bool P) Q) R) (tptp.hAPP_f54304608l_bool (tptp.hAPP_a1392362872l_bool P R) Q))))
% 1.40/1.57 (assume a856 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f282463732t_bool (tptp.cOMBC_1928494297l_bool P) Q) R) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_n1414589940l_bool P R) Q))))
% 1.40/1.57 (assume a857 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_n1414589940l_bool (tptp.cOMBC_619334683t_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_f282463732t_bool P R) Q))))
% 1.40/1.57 (assume a858 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBB_2140588453a_bool P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_fun_a_bool_bool Q R)))))
% 1.40/1.57 (assume a859 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a_fun_bool_bool (tptp.cOMBB_1972296269bool_a P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_a_bool Q R)))))
% 1.40/1.57 (assume a860 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBS_1035972772l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f198738859l_bool P R) (tptp.hAPP_fun_a_bool_bool Q R)))))
% 1.40/1.57 (assume a861 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a_bool (tptp.hAPP_f1051908748a_bool (tptp.cOMBC_1834145417l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_a217006258l_bool P R) Q))))
% 1.40/1.57 (assume a862 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_f1794073134e_bool (tptp.cOMBC_445755039l_bool P) Q) R) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_p1824510254l_bool P R) Q))))
% 1.40/1.57 (assume a863 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_p1824510254l_bool (tptp.cOMBC_1738168533e_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_f1794073134e_bool P R) Q))))
% 1.40/1.57 (assume a864 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a93125764e_bool (tptp.cOMBB_610033911bool_a P Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_a_pname Q R)))))
% 1.40/1.57 (assume a865 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.cOMBB_800536526ol_nat P Q) R) (tptp.hAPP_n1699378549t_bool P (tptp.hAPP_nat_nat Q R)))))
% 1.40/1.57 (assume a866 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool P) Q) R) (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool P R) Q))))
% 1.40/1.57 (assume a867 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool (tptp.cOMBC_385542954t_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool P R) Q))))
% 1.40/1.57 (assume a868 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f54304608l_bool (tptp.cOMBB_238756964t_bool P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f54304608l_bool Q R)))))
% 1.40/1.57 (assume a869 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1006566506l_bool (tptp.cOMBB_1015721476ol_nat P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_nat_bool Q R)))))
% 1.40/1.57 (assume a870 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p1499970991t_bool (tptp.cOMBB_523834888_pname P Q) R) (tptp.hAPP_n1699378549t_bool P (tptp.hAPP_pname_nat Q R)))))
% 1.40/1.57 (assume a871 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f54304608l_bool (tptp.cOMBS_1187019125l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f1748468828l_bool P R) (tptp.hAPP_f54304608l_bool Q R)))))
% 1.40/1.57 (assume a872 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_f654413245e_bool (tptp.cOMBC_267053842l_bool P) Q) R) (tptp.hAPP_f54304608l_bool (tptp.hAPP_p130839763l_bool P R) Q))))
% 1.40/1.57 (assume a873 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f1066163005t_bool (tptp.cOMBC_386238098l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_n850744903l_bool P R) Q))))
% 1.40/1.57 (assume a874 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_n850744903l_bool (tptp.cOMBC_1666426608t_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_f1066163005t_bool P R) Q))))
% 1.40/1.57 (assume a875 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_p130839763l_bool (tptp.cOMBC_615407716e_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_f654413245e_bool P R) Q))))
% 1.40/1.57 (assume a876 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1025906991e_bool (tptp.cOMBB_1212655066ol_nat P Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_nat_pname Q R)))))
% 1.40/1.57 (assume a877 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBB_307249310e_bool P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f1664156314l_bool Q R)))))
% 1.40/1.57 (assume a878 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p393069232l_bool (tptp.cOMBB_675860798_pname P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_pname_bool Q R)))))
% 1.40/1.57 (assume a879 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBS_350070575l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f1476298914l_bool P R) (tptp.hAPP_f1664156314l_bool Q R)))))
% 1.40/1.57 (assume a880 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool P R) Q))))
% 1.40/1.57 (assume a881 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool (tptp.cOMBC_1004116266e_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool P R) Q))))
% 1.40/1.57 (assume a882 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p61793385e_bool (tptp.cOMBB_542850580_pname P Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_pname_pname Q R)))))
% 1.40/1.57 (assume a883 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool P) Q) R) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool P R) Q))))
% 1.40/1.57 (assume a884 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f282463732t_bool (tptp.cOMBB_164527437a_bool P Q) R) (tptp.hAPP_n1699378549t_bool P (tptp.hAPP_fun_a_bool_nat Q R)))))
% 1.40/1.57 (assume a885 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f198738859l_bool (tptp.cOMBB_338059395a_bool P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_fun_a_bool_bool Q R)))))
% 1.40/1.57 (assume a886 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1794073134e_bool (tptp.cOMBB_1693087065a_bool P Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_f1128469712_pname Q R)))))
% 1.40/1.57 (assume a887 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f800510211t_bool (tptp.cOMBB_1250273980t_bool P Q) R) (tptp.hAPP_n1699378549t_bool P (tptp.hAPP_f22106695ol_nat Q R)))))
% 1.40/1.57 (assume a888 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a85458249l_bool (tptp.cOMBB_472261505bool_a P Q) R) (tptp.hAPP_f1631501043l_bool P (tptp.hAPP_a_fun_a_bool Q R)))))
% 1.40/1.57 (assume a889 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool P) Q) R) (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool P R) Q))))
% 1.40/1.57 (assume a890 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1748468828l_bool (tptp.cOMBB_444170502t_bool P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f54304608l_bool Q R)))))
% 1.40/1.57 (assume a891 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1066163005t_bool (tptp.cOMBB_1896684278e_bool P Q) R) (tptp.hAPP_n1699378549t_bool P (tptp.hAPP_f921600141ol_nat Q R)))))
% 1.40/1.57 (assume a892 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f654413245e_bool (tptp.cOMBB_141086128t_bool P Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_f1291551745_pname Q R)))))
% 1.40/1.57 (assume a893 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1476298914l_bool (tptp.cOMBB_2095475776e_bool P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f1664156314l_bool Q R)))))
% 1.40/1.57 (assume a894 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool P R) Q))))
% 1.40/1.57 (assume a895 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.cOMBB_598082538e_bool P Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_f1297739591_pname Q R)))))
% 1.40/1.57 (assume a896 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1414589940l_bool (tptp.cOMBB_1823939024ol_nat P Q) R) (tptp.hAPP_f1631501043l_bool P (tptp.hAPP_nat_fun_a_bool Q R)))))
% 1.40/1.57 (assume a897 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f2117159681l_bool (tptp.cOMBC_1880041174l_bool P) Q) R) (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool P R) Q))))
% 1.40/1.57 (assume a898 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p1824510254l_bool (tptp.cOMBB_392435466_pname P Q) R) (tptp.hAPP_f1631501043l_bool P (tptp.hAPP_p1534023578a_bool Q R)))))
% 1.40/1.57 (assume a899 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a1392362872l_bool (tptp.cOMBB_743407885bool_a P Q) R) (tptp.hAPP_f103356543l_bool P (tptp.hAPP_a_fun_nat_bool Q R)))))
% 1.40/1.57 (assume a900 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_a217006258l_bool (tptp.cOMBB_1137537805bool_a P Q) R) (tptp.hAPP_f434788991l_bool P (tptp.hAPP_a93125764e_bool Q R)))))
% 1.40/1.57 (assume a901 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n215258509l_bool (tptp.cOMBB_2026977092ol_nat P Q) R) (tptp.hAPP_f103356543l_bool P (tptp.hAPP_n1699378549t_bool Q R)))))
% 1.40/1.57 (assume a902 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_f1246832597l_bool (tptp.cOMBC_1245412066l_bool P) Q) R) (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool P R) Q))))
% 1.40/1.57 (assume a903 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p130839763l_bool (tptp.cOMBB_928955006_pname P Q) R) (tptp.hAPP_f103356543l_bool P (tptp.hAPP_p1499970991t_bool Q R)))))
% 1.40/1.57 (assume a904 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n850744903l_bool (tptp.cOMBB_2117322052ol_nat P Q) R) (tptp.hAPP_f434788991l_bool P (tptp.hAPP_n1025906991e_bool Q R)))))
% 1.40/1.57 (assume a905 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool P) Q) R) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool P R) Q))))
% 1.40/1.57 (assume a906 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p338031245l_bool (tptp.cOMBB_408569982_pname P Q) R) (tptp.hAPP_f434788991l_bool P (tptp.hAPP_p61793385e_bool Q R)))))
% 1.40/1.57 (assume a907 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool (tptp.cOMBC_331553030l_bool P) Q) R) (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool P R) Q))))
% 1.40/1.57 (assume a908 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool (tptp.cOMBC_595898202l_bool P) Q) R) (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool P R) Q))))
% 1.40/1.57 (assume a909 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool P) Q) R) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool P R) Q))))
% 1.40/1.57 (assume a910 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.u)))
% 1.40/1.57 (assume a911 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))
% 1.40/1.57 (assume a912 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc tptp.na)) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_pname_a tptp.mgt_call tptp.u)))))
% 1.40/1.57 (assume a913 (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a tptp.g) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hAPP_nat_nat tptp.suc tptp.na))))
% 1.40/1.57 (assume a914 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u)))
% 1.40/1.57 (assume a915 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g))))
% 1.40/1.57 (assume a916 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))
% 1.40/1.57 (assume a917 true)
% 1.40/1.57 (step t1 (cl (=> (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))))) :rule implies_neg1)
% 1.40/1.57 (anchor :step t2)
% 1.40/1.57 (assume t2.a0 (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))))
% 1.40/1.57 (step t2.t1 (cl (or (not (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule forall_inst :args ((:= A_1 tptp.u) (:= F tptp.mgt_call) (:= X_3 tptp.pn)))
% 1.40/1.57 (step t2.t2 (cl (not (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule or :premises (t2.t1))
% 1.40/1.57 (step t2.t3 (cl (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule resolution :premises (t2.t2 t2.a0))
% 1.40/1.57 (step t2 (cl (not (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule subproof :discharge (t2.a0))
% 1.40/1.57 (step t3 (cl (=> (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule resolution :premises (t1 t2))
% 1.40/1.57 (step t4 (cl (=> (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) (not (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule implies_neg2)
% 1.40/1.57 (step t5 (cl (=> (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) (=> (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule resolution :premises (t3 t4))
% 1.40/1.57 (step t6 (cl (=> (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule contraction :premises (t5))
% 1.40/1.57 (step t7 (cl (not (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule implies :premises (t6))
% 1.40/1.57 (step t8 (cl (not (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))) :rule or_pos)
% 1.40/1.57 (step t9 (cl (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (not (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule reordering :premises (t8))
% 1.40/1.57 (step t10 (cl (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule and_neg)
% 1.40/1.57 (step t11 (cl (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule reordering :premises (t10))
% 1.40/1.57 (step t12 (cl (not (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (not (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule equiv_pos1)
% 1.40/1.57 (step t13 (cl (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (not (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))) (not (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))))) :rule reordering :premises (t12))
% 1.40/1.57 (step t14 (cl (=> (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)))))) :rule implies_neg1)
% 1.40/1.57 (anchor :step t15)
% 1.40/1.57 (assume t15.a0 (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6))))))
% 1.40/1.57 (step t15.t1 (cl (or (not (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))))) :rule forall_inst :args ((:= X_3 (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (:= A_1 tptp.g) (:= B_6 (tptp.image_pname_a tptp.mgt_call tptp.u))))
% 1.40/1.57 (step t15.t2 (cl (not (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule or :premises (t15.t1))
% 1.40/1.57 (step t15.t3 (cl (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule resolution :premises (t15.t2 t15.a0))
% 1.40/1.57 (step t15 (cl (not (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule subproof :discharge (t15.a0))
% 1.40/1.57 (step t16 (cl (=> (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule resolution :premises (t14 t15))
% 1.40/1.57 (step t17 (cl (=> (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) (not (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))))) :rule implies_neg2)
% 1.40/1.57 (step t18 (cl (=> (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) (=> (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))))) :rule resolution :premises (t16 t17))
% 1.40/1.57 (step t19 (cl (=> (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))))) :rule contraction :premises (t18))
% 1.40/1.57 (step t20 (cl (not (forall ((X_3 $$unsorted) (A_1 $$unsorted) (B_6 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a X_3 A_1)) B_6)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_3) B_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_1) B_6)))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule implies :premises (t19))
% 1.40/1.57 (step t21 (cl (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule resolution :premises (t20 a427))
% 1.40/1.57 (step t22 (cl (not (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule resolution :premises (t13 a916 t21))
% 1.40/1.57 (step t23 (cl (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule resolution :premises (t11 a911 t22))
% 1.40/1.57 (step t24 (cl (not (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule resolution :premises (t9 a914 t23))
% 1.40/1.57 (step t25 (cl (not (= (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (=> (= B_1 (tptp.hAPP_pname_a F X_3)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_pname_a F A_1)))))) (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))))) (not (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (=> (= B_1 (tptp.hAPP_pname_a F X_3)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_pname_a F A_1))))))) (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))))) :rule equiv_pos2)
% 1.40/1.57 (step t26 (cl (= (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (=> (= B_1 (tptp.hAPP_pname_a F X_3)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_pname_a F A_1)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (= B_1 (tptp.hAPP_pname_a F X_3))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_pname_a F A_1))))))) :rule all_simplify)
% 1.40/1.57 (step t27 (cl (= (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (= B_1 (tptp.hAPP_pname_a F X_3))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_pname_a F A_1))))) (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (= (tptp.hAPP_pname_a F X_3) (tptp.hAPP_pname_a F X_3))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))))) :rule all_simplify)
% 1.40/1.57 (anchor :step t28 :args ((A_1 $$unsorted) (:= A_1 A_1) (F $$unsorted) (:= F F) (X_3 $$unsorted) (:= X_3 X_3)))
% 1.40/1.57 (step t28.t1 (cl (= A_1 A_1)) :rule refl)
% 1.40/1.57 (step t28.t2 (cl (= F F)) :rule refl)
% 1.40/1.57 (step t28.t3 (cl (= X_3 X_3)) :rule refl)
% 1.40/1.57 (step t28.t4 (cl (= (= (tptp.hAPP_pname_a F X_3) (tptp.hAPP_pname_a F X_3)) true)) :rule all_simplify)
% 1.40/1.57 (step t28.t5 (cl (= (not (= (tptp.hAPP_pname_a F X_3) (tptp.hAPP_pname_a F X_3))) (not true))) :rule cong :premises (t28.t4))
% 1.40/1.57 (step t28.t6 (cl (= (not true) false)) :rule all_simplify)
% 1.40/1.57 (step t28.t7 (cl (= (not (= (tptp.hAPP_pname_a F X_3) (tptp.hAPP_pname_a F X_3))) false)) :rule trans :premises (t28.t5 t28.t6))
% 1.40/1.57 (step t28.t8 (cl (= (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))))) :rule refl)
% 1.40/1.57 (step t28.t9 (cl (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))) :rule refl)
% 1.40/1.57 (step t28.t10 (cl (= (or (not (= (tptp.hAPP_pname_a F X_3) (tptp.hAPP_pname_a F X_3))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))) (or false (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))))) :rule cong :premises (t28.t7 t28.t8 t28.t9))
% 1.40/1.57 (step t28.t11 (cl (= (or false (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))))) :rule all_simplify)
% 1.40/1.57 (step t28.t12 (cl (= (or (not (= (tptp.hAPP_pname_a F X_3) (tptp.hAPP_pname_a F X_3))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))))) :rule trans :premises (t28.t10 t28.t11))
% 1.40/1.58 (step t28 (cl (= (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (= (tptp.hAPP_pname_a F X_3) (tptp.hAPP_pname_a F X_3))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))) (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))))) :rule bind)
% 1.40/1.58 (step t29 (cl (= (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (= B_1 (tptp.hAPP_pname_a F X_3))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_pname_a F A_1))))) (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))))) :rule trans :premises (t27 t28))
% 1.40/1.58 (step t30 (cl (= (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (=> (= B_1 (tptp.hAPP_pname_a F X_3)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_1) (tptp.image_pname_a F A_1)))))) (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1))))))) :rule trans :premises (t26 t29))
% 1.40/1.58 (step t31 (cl (forall ((A_1 $$unsorted) (F $$unsorted) (X_3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_3) A_1))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_3)) (tptp.image_pname_a F A_1)))))) :rule resolution :premises (t25 t30 a318))
% 1.40/1.58 (step t32 (cl) :rule resolution :premises (t7 t24 t31))
% 1.40/1.58
% 1.40/1.58 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.NGATPEZ01Q/cvc5---1.0.5_29650.smt2
% 1.40/1.58 % cvc5---1.0.5 exiting
% 1.40/1.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------