%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW474+2 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n020.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 18:20:01 EDT 2024

% Result   : Theorem 3.20s 3.44s
% Output   : Proof 3.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.23  % Problem    : SWW474+2 : TPTP v8.2.0. Released v5.3.0.
% 0.23/0.23  % Command    : do_cvc5 %s %d
% 0.23/0.44  % Computer : n020.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 05:53:24 EDT 2024
% 0.23/0.44  % CPUTime    : 
% 0.51/0.79  %----Proving TF0_NAR, FOF, or CNF
% 3.20/3.44  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.20/3.44  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.raIsEcxsun/cvc5---1.0.5_2546.smt2
% 3.20/3.44  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.raIsEcxsun/cvc5---1.0.5_2546.smt2
% 3.20/3.44  (assume a0 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_bool B_1_1) (tptp.is_fun_pname_bool (tptp.cOMBK_bool_pname B_1_1)))))
% 3.20/3.44  (assume a1 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_bool B_1_1) (tptp.is_fun1661590463l_bool (tptp.cOMBK_1857069011e_bool B_1_1)))))
% 3.20/3.44  (assume a2 (tptp.is_bool tptp.wT_bodies))
% 3.20/3.44  (assume a3 (tptp.is_fun1661590463l_bool tptp.finite_finite_pname))
% 3.20/3.44  (assume a4 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.finite1282449217_pname B_1_1 B_2_1))))
% 3.20/3.44  (assume a5 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.finite774711482_state B_1_1 B_2_1))))
% 3.20/3.44  (assume a6 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.finite1626890877e_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a7 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.finite132673334e_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a8 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.finite89670078_pname B_1_1 B_2_1))))
% 3.20/3.44  (assume a9 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.finite506823037_state B_1_1 B_2_1))))
% 3.20/3.44  (assume a10 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.finite1268145088e_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a11 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.finite959343283e_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a12 (tptp.is_pname (tptp.undefined_pname tptp.pname)))
% 3.20/3.44  (assume a13 (tptp.is_fun_pname_bool (tptp.undefi17486888e_bool (tptp.fun tptp.pname tptp.bool))))
% 3.20/3.44  (assume a14 (tptp.is_fun1661590463l_bool (tptp.undefi64961550l_bool (tptp.fun (tptp.fun tptp.pname tptp.bool) tptp.bool))))
% 3.20/3.44  (assume a15 (tptp.is_bool tptp.hoare_298929751gleton))
% 3.20/3.44  (assume a16 (forall ((B_1_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.dom_pname_com B_1_1))))
% 3.20/3.44  (assume a17 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_pname B_1_1) (tptp.is_option_pname (tptp.some_pname B_1_1)))))
% 3.20/3.44  (assume a18 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_option_pname B_1_1) (tptp.is_fun_pname_bool (tptp.set_pname B_1_1)))))
% 3.20/3.44  (assume a19 (tptp.is_bool tptp.bot_bot_bool))
% 3.20/3.44  (assume a20 (tptp.is_fun_pname_bool tptp.bot_bo844097828e_bool))
% 3.20/3.44  (assume a21 (tptp.is_fun1661590463l_bool tptp.bot_bo1649642514l_bool))
% 3.20/3.44  (assume a22 (tptp.is_bool tptp.fFalse))
% 3.20/3.44  (assume a23 (tptp.is_bool tptp.fTrue))
% 3.20/3.44  (assume a24 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_com_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a25 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_pname B_2_1) (tptp.is_pname (tptp.hAPP_pname_pname B_1_1 B_2_1)))))
% 3.20/3.44  (assume a26 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool B_1_1) (tptp.is_pname B_2_1)) (tptp.is_bool (tptp.hAPP_pname_bool B_1_1 B_2_1)))))
% 3.20/3.44  (assume a27 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_pname B_2_1) (tptp.is_fun_pname_bool (tptp.hAPP_p61793385e_bool B_1_1 B_2_1)))))
% 3.20/3.44  (assume a28 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_pname B_2_1) (tptp.is_fun1661590463l_bool (tptp.hAPP_p338031245l_bool B_1_1 B_2_1)))))
% 3.20/3.44  (assume a29 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_state_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a30 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_bool (tptp.hAPP_bool_bool B_1_1 B_2_1)))))
% 3.20/3.44  (assume a31 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_pname (tptp.hAPP_H1344248906_pname B_1_1 B_2_1))))
% 3.20/3.44  (assume a32 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_H513860823e_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a33 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.hAPP_H1632039476e_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a34 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1661590463l_bool (tptp.hAPP_H737849090l_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a35 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f990396704l_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a36 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_pname (tptp.hAPP_f1297739591_pname B_1_1 B_2_1)))))
% 3.20/3.44  (assume a37 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun1661590463l_bool B_1_1) (tptp.is_fun_pname_bool B_2_1)) (tptp.is_bool (tptp.hAPP_f1664156314l_bool B_1_1 B_2_1)))))
% 3.20/3.44  (assume a38 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun_pname_bool (tptp.hAPP_f759274231e_bool B_1_1 B_2_1)))))
% 3.20/3.44  (assume a39 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.hAPP_f434788991l_bool B_1_1 B_2_1)))))
% 3.20/3.44  (assume a40 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.hAPP_f42430548e_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a41 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f327114704l_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a42 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_pname (tptp.hAPP_f1008690464_pname B_1_1 B_2_1))))
% 3.20/3.44  (assume a43 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1760790145l_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a44 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.hAPP_f1745235422e_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a45 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1661590463l_bool (tptp.hAPP_f748867288l_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a46 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_bool (tptp.hAPP_f1935102916l_bool B_1_1 B_2_1)))))
% 3.20/3.44  (assume a47 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_fun_pname_bool (tptp.hAPP_f674760225e_bool B_1_1 B_2_1)))))
% 3.20/3.44  (assume a48 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.hAPP_f559147733l_bool B_1_1 B_2_1)))))
% 3.20/3.44  (assume a49 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f239102607l_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a50 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.hAPP_f280588268e_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a51 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f389811538l_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a52 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1904669497l_bool B_1_1 B_2_1))))
% 3.20/3.44  (assume a53 (tptp.is_pname tptp.pn))
% 3.20/3.44  (assume a54 (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool))))
% 3.20/3.44  (assume a55 (forall ((Ts $$unsorted) (G_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Ts) G_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)))))
% 3.20/3.44  (assume a56 (forall ((Ts $$unsorted) (G_1 $$unsorted) (Ts_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Ts) Ts_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))))
% 3.20/3.44  (assume a57 (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool G_2) G_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))))
% 3.20/3.44  (assume a58 (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))))
% 3.20/3.44  (assume a59 (forall ((Ts $$unsorted) (G_1 $$unsorted) (T $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state T) tptp.bot_bo1055319631e_bool))) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state T) Ts)))))))
% 3.20/3.44  (assume a60 (forall ((G_1 $$unsorted) (T $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state T) Ts))) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state T) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))))
% 3.20/3.44  (assume a61 (forall ((Pn_1 $$unsorted) (G_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_pname_com tptp.body_1 Pn_1))) G_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_option_com_com tptp.the_com (tptp.hAPP_p799580910on_com tptp.body Pn_1)))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_pname_com tptp.body_1 Pn_1))) tptp.bot_bo1055319631e_bool))))))
% 3.20/3.44  (assume a62 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.hAPP_f783502055l_bool tptp.collec1613912337l_bool (tptp.hAPP_f510955609l_bool (tptp.hAPP_f1879335953l_bool tptp.cOMBC_7971162l_bool tptp.ord_le675606854l_bool) A_1)))))))
% 3.20/3.44  (assume a63 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (tptp.hBOOL (tptp.hAPP_f1904669497l_bool tptp.finite1586217244l_bool (tptp.hAPP_f1987093l_bool tptp.collec1277803610l_bool (tptp.hAPP_f1269496639l_bool (tptp.hAPP_f1508257257l_bool tptp.cOMBC_1084925030l_bool tptp.ord_le1076702565l_bool) A_1)))))))
% 3.20/3.44  (assume a64 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f854625363l_bool (tptp.hAPP_f2119687429l_bool tptp.cOMBC_1018307482l_bool tptp.ord_le1720872323e_bool) A_1)))))))
% 3.20/3.44  (assume a65 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.hAPP_f1297925993l_bool tptp.cOMBC_1284144636l_bool tptp.ord_le313189616e_bool) A_1)))))))
% 3.20/3.44  (assume a66 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state Fa)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f748867288l_bool (tptp.image_1259634916e_bool H) Fa))))))
% 3.20/3.44  (assume a67 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state Fa)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f854625363l_bool (tptp.image_277167759e_bool H) Fa))))))
% 3.20/3.44  (assume a68 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f434788991l_bool (tptp.image_47868345e_bool H) Fa))))))
% 3.20/3.44  (assume a69 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1874607724l_bool (tptp.image_505480954e_bool H) Fa))))))
% 3.20/3.44  (assume a70 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f780887186e_bool (tptp.image_936554724_state H) Fa))))))
% 3.20/3.44  (assume a71 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f772567431e_bool (tptp.image_774712299_state H) Fa))))))
% 3.20/3.44  (assume a72 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f674760225e_bool (tptp.image_1283814551_pname H) Fa))))))
% 3.20/3.44  (assume a73 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f280588268e_bool (tptp.image_636285904_pname H) Fa))))))
% 3.20/3.44  (assume a74 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state H) Fa))))))
% 3.20/3.44  (assume a75 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool tptp.bot_bo844097828e_bool) A_1))))
% 3.20/3.44  (assume a76 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool tptp.bot_bo1055319631e_bool) A_1))))
% 3.20/3.44  (assume a77 (forall ((A $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A) A_1))))))
% 3.20/3.44  (assume a78 (forall ((A $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool A) A_1))))))
% 3.20/3.44  (assume a79 (forall ((A $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) A_1))))))
% 3.20/3.44  (assume a80 (forall ((A $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) A_1))))))
% 3.20/3.44  (assume a81 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool tptp.bot_bo1649642514l_bool)))
% 3.20/3.44  (assume a82 (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool tptp.bot_bo1325454745l_bool)))
% 3.20/3.44  (assume a83 (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state tptp.bot_bo1055319631e_bool)))
% 3.20/3.44  (assume a84 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.bot_bo844097828e_bool)))
% 3.20/3.44  (assume a85 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool Q_1)))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj) P_1)) Q_1)))))))
% 3.20/3.44  (assume a86 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool P_1))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool Q_1)))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fconj) P_1)) Q_1)))))))
% 3.20/3.44  (assume a87 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool tptp.collec727977250_state P_1))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool tptp.collec727977250_state Q_1)))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fconj) P_1)) Q_1)))))))
% 3.20/3.44  (assume a88 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool tptp.collect_pname Q_1)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fconj) P_1)) Q_1)))))))
% 3.20/3.44  (assume a89 (forall ((C $$unsorted) (A_1 $$unsorted)) (and (=> (= A_1 tptp.bot_bo1055319631e_bool) (= (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname (tptp.cOMBK_588224941_state C)) A_1) tptp.bot_bo844097828e_bool)) (=> (not (= A_1 tptp.bot_bo1055319631e_bool)) (= (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname (tptp.cOMBK_588224941_state C)) A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname C) tptp.bot_bo844097828e_bool))))))
% 3.20/3.44  (assume a90 (forall ((C $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (and (=> (= A_1 tptp.bot_bo844097828e_bool) (= (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.cOMBK_90103121_pname C)) A_1) tptp.bot_bo1055319631e_bool)) (=> (not (= A_1 tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.cOMBK_90103121_pname C)) A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state C) tptp.bot_bo1055319631e_bool)))))))
% 3.20/3.44  (assume a91 (forall ((C $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (= (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname (tptp.cOMBK_588224941_state C)) A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname C) tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a92 (forall ((C $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (= (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.cOMBK_90103121_pname C)) A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state C) tptp.bot_bo1055319631e_bool)))))
% 3.20/3.44  (assume a93 (forall ((F $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= (tptp.hAPP_p799580910on_com F X_1) (tptp.some_com Y_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) (tptp.dom_pname_com F)) (tptp.dom_pname_com F)))))
% 3.20/3.44  (assume a94 (forall ((B $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.hAPP_f748867288l_bool (tptp.image_1259634916e_bool F) A_1))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B))))))
% 3.20/3.44  (assume a95 (forall ((B $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool B) (tptp.hAPP_f854625363l_bool (tptp.image_277167759e_bool F) A_1))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool B))))))
% 3.20/3.44  (assume a96 (forall ((B $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 3.20/3.44  (assume a97 (forall ((B $$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) (tptp.hAPP_f434788991l_bool (tptp.image_47868345e_bool F) A_1))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B))))))
% 3.20/3.44  (assume a98 (forall ((B $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool B) (tptp.hAPP_f1874607724l_bool (tptp.image_505480954e_bool F) A_1))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool B))))))
% 3.20/3.44  (assume a99 (forall ((B $$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) (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname F) A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 3.20/3.44  (assume a100 (forall ((B $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) (tptp.hAPP_f780887186e_bool (tptp.image_936554724_state F) A_1))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state B))))))
% 3.20/3.44  (assume a101 (forall ((B $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) (tptp.hAPP_f772567431e_bool (tptp.image_774712299_state F) A_1))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state B))))))
% 3.20/3.44  (assume a102 (forall ((B $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f674760225e_bool (tptp.image_1283814551_pname F) A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 3.20/3.44  (assume a103 (forall ((B $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f280588268e_bool (tptp.image_636285904_pname F) A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 3.20/3.44  (assume a104 (forall ((B $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state B))))))
% 3.20/3.44  (assume a105 (forall ((A_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))) (or (= A_1 tptp.bot_bo844097828e_bool) (= A_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)))))))
% 3.20/3.44  (assume a106 (forall ((A_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) tptp.bot_bo1055319631e_bool))) (or (= A_1 tptp.bot_bo1055319631e_bool) (= A_1 (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) tptp.bot_bo1055319631e_bool))))))
% 3.20/3.44  (assume a107 (forall ((C $$unsorted)) (=> (tptp.hBOOL tptp.hoare_298929751gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))))))
% 3.20/3.44  (assume a108 (forall ((A $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a109 (forall ((A $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) tptp.bot_bo1055319631e_bool)))))
% 3.20/3.44  (assume a110 (forall ((B_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) B))) (= A B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) B))))))
% 3.20/3.44  (assume a111 (forall ((B_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) B))) (= A B_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state B_1) B))))))
% 3.20/3.44  (assume a112 (forall ((A $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (and (tptp.is_pname A) (tptp.is_pname B_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) A_1))) (=> (not (= A B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) A_1)))))))
% 3.20/3.44  (assume a113 (forall ((A $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state B_1) A_1))) (=> (not (= A B_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) A_1))))))
% 3.20/3.44  (assume a114 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun_pname_bool A_1) (tptp.is_fun_pname_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A_1)) (= A_1 B))))))
% 3.20/3.44  (assume a115 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) A_1)) (= A_1 B)))))
% 3.20/3.44  (assume a116 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))))))
% 3.20/3.44  (assume a117 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) B))))))
% 3.20/3.44  (assume a118 (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted)) (=> (= B_1 (tptp.hAPP_H1344248906_pname F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1)))))))
% 3.20/3.44  (assume a119 (forall ((A_1 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted)) (=> (= B_1 (tptp.hAPP_p1842370726_state F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state B_1) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1)))))))
% 3.20/3.44  (assume a120 (forall ((A $$unsorted) (A_1 $$unsorted)) (=> (= A_1 tptp.bot_bo844097828e_bool) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) A_1))))))
% 3.20/3.44  (assume a121 (forall ((A $$unsorted) (A_1 $$unsorted)) (=> (= A_1 tptp.bot_bo1055319631e_bool) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) A_1))))))
% 3.20/3.44  (assume a122 (forall ((P_1 $$unsorted)) (= (= (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1) tptp.bot_bo844097828e_bool) (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (not (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2))))))))
% 3.20/3.44  (assume a123 (forall ((P_1 $$unsorted)) (= (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1) tptp.bot_bo1649642514l_bool) (forall ((X_2 $$unsorted)) (=> (tptp.is_fun_pname_bool X_2) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 X_2))))))))
% 3.20/3.44  (assume a124 (forall ((P_1 $$unsorted)) (= (= (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool P_1) tptp.bot_bo1325454745l_bool) (forall ((X_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 X_2)))))))
% 3.20/3.44  (assume a125 (forall ((P_1 $$unsorted)) (= (= (tptp.hAPP_f921536533e_bool tptp.collec727977250_state P_1) tptp.bot_bo1055319631e_bool) (forall ((X_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_2)))))))
% 3.20/3.44  (assume a126 (forall ((C $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a127 (forall ((C $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) tptp.bot_bo1055319631e_bool)))))
% 3.20/3.44  (assume a128 (forall ((P_1 $$unsorted)) (= (= tptp.bot_bo844097828e_bool (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1)) (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (not (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2))))))))
% 3.20/3.44  (assume a129 (forall ((P_1 $$unsorted)) (= (= tptp.bot_bo1649642514l_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1)) (forall ((X_2 $$unsorted)) (=> (tptp.is_fun_pname_bool X_2) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 X_2))))))))
% 3.20/3.44  (assume a130 (forall ((P_1 $$unsorted)) (= (= tptp.bot_bo1325454745l_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool P_1)) (forall ((X_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 X_2)))))))
% 3.20/3.44  (assume a131 (forall ((P_1 $$unsorted)) (= (= tptp.bot_bo1055319631e_bool (tptp.hAPP_f921536533e_bool tptp.collec727977250_state P_1)) (forall ((X_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_2)))))))
% 3.20/3.44  (assume a132 (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (= (exists ((X_2 $$unsorted)) (and (tptp.is_pname X_2) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1)))) (not (= A_1 tptp.bot_bo844097828e_bool))))))
% 3.20/3.44  (assume a133 (forall ((A_1 $$unsorted)) (= (exists ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1))) (not (= A_1 tptp.bot_bo1055319631e_bool)))))
% 3.20/3.44  (assume a134 (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (= (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1))))) (= A_1 tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a135 (forall ((A_1 $$unsorted)) (= (forall ((X_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1)))) (= A_1 tptp.bot_bo1055319631e_bool))))
% 3.20/3.44  (assume a136 (= tptp.bot_bo844097828e_bool (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.cOMBK_bool_pname tptp.fFalse))))
% 3.20/3.44  (assume a137 (= tptp.bot_bo1649642514l_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.cOMBK_1857069011e_bool tptp.fFalse))))
% 3.20/3.44  (assume a138 (= tptp.bot_bo1325454745l_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.cOMBK_564432736e_bool tptp.fFalse))))
% 3.20/3.44  (assume a139 (= tptp.bot_bo1055319631e_bool (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.cOMBK_1079618832_state tptp.fFalse))))
% 3.20/3.44  (assume a140 (forall ((A $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) A_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) A_1) A_1)))))
% 3.20/3.44  (assume a141 (forall ((A $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) A_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) A_1) A_1))))
% 3.20/3.44  (assume a142 (forall ((B_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) B))))))
% 3.20/3.44  (assume a143 (forall ((B_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) B)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state B_1) B))))))
% 3.20/3.44  (assume a144 (forall ((B $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool B) (tptp.is_fun_pname_bool A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))) (= (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) B)) (= A_1 B)))))))
% 3.20/3.44  (assume a145 (forall ((B $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) B))) (= (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) B)) (= A_1 B))))))
% 3.20/3.44  (assume a146 (forall ((Y_1 $$unsorted) (A_1 $$unsorted) (X_1 $$unsorted)) (=> (and (tptp.is_pname Y_1) (tptp.is_pname X_1)) (= (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname Y_1) A_1) X_1)) (or (= Y_1 X_1) (tptp.hBOOL (tptp.hAPP_pname_bool A_1 X_1)))))))
% 3.20/3.44  (assume a147 (forall ((Y_1 $$unsorted) (A_1 $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state Y_1) A_1) X_1)) (or (= Y_1 X_1) (tptp.hBOOL (tptp.hAPP_H513860823e_bool A_1 X_1))))))
% 3.20/3.44  (assume a148 (forall ((A $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (and (tptp.is_pname A) (tptp.is_pname B_1)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) A_1))) (or (= A B_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) A_1)))))))
% 3.20/3.44  (assume a149 (forall ((A $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state B_1) A_1))) (or (= A B_1) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) A_1))))))
% 3.20/3.44  (assume a150 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname Y_1) A_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname Y_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A_1)))))
% 3.20/3.44  (assume a151 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state Y_1) A_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state Y_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) A_1)))))
% 3.20/3.44  (assume a152 (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A_1))))
% 3.20/3.44  (assume a153 (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) A_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) A_1))))
% 3.20/3.44  (assume a154 (forall ((A $$unsorted) (P_1 $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1)) (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fimplies) (tptp.hAPP_f759274231e_bool (tptp.cOMBB_647938656_pname tptp.fNot) (tptp.hAPP_p61793385e_bool (tptp.hAPP_f22061361e_bool tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A)))) P_1)))))
% 3.20/3.44  (assume a155 (forall ((A $$unsorted) (P_1 $$unsorted)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A) (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1)) (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fimplies) (tptp.hAPP_f559147733l_bool (tptp.cOMBB_307249310e_bool tptp.fNot) (tptp.hAPP_f434788991l_bool (tptp.hAPP_f1297925993l_bool tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A)))) P_1)))))
% 3.20/3.44  (assume a156 (forall ((A $$unsorted) (P_1 $$unsorted)) (= (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool A) (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool P_1)) (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fimplies) (tptp.hAPP_f1970439265l_bool (tptp.cOMBB_1957242197e_bool tptp.fNot) (tptp.hAPP_f854625363l_bool (tptp.hAPP_f2119687429l_bool tptp.cOMBC_1018307482l_bool tptp.fequal1746921144e_bool) A)))) P_1)))))
% 3.20/3.44  (assume a157 (forall ((A $$unsorted) (P_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) (tptp.hAPP_f921536533e_bool tptp.collec727977250_state P_1)) (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fimplies) (tptp.hAPP_f921536533e_bool (tptp.cOMBB_416661851_state tptp.fNot) (tptp.hAPP_H1645666623e_bool (tptp.hAPP_f262880489e_bool tptp.cOMBC_1424981238e_bool tptp.fequal1531560888_state) A)))) P_1)))))
% 3.20/3.44  (assume a158 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B) (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fdisj) (tptp.hAPP_p61793385e_bool (tptp.hAPP_f22061361e_bool tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) B))))))
% 3.20/3.44  (assume a159 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A) B) (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj) (tptp.hAPP_f434788991l_bool (tptp.hAPP_f1297925993l_bool tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A))) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) B))))))
% 3.20/3.44  (assume a160 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool A) B) (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fdisj) (tptp.hAPP_f854625363l_bool (tptp.hAPP_f2119687429l_bool tptp.cOMBC_1018307482l_bool tptp.fequal1746921144e_bool) A))) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f517001763l_bool tptp.cOMBC_1166591542l_bool tptp.member402455436e_bool) B))))))
% 3.20/3.44  (assume a161 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B) (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fdisj) (tptp.hAPP_H1645666623e_bool (tptp.hAPP_f262880489e_bool tptp.cOMBC_1424981238e_bool tptp.fequal1531560888_state) A))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) B))))))
% 3.20/3.44  (assume a162 (forall ((A $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)))))
% 3.20/3.44  (assume a163 (forall ((A $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)))))
% 3.20/3.44  (assume a164 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (= A_1 B) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A_1))))))))
% 3.20/3.44  (assume a165 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (= A_1 B) (not (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) A_1))))))))
% 3.20/3.44  (assume a166 (forall ((C_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) C_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) C_1))))))
% 3.20/3.44  (assume a167 (forall ((C_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) C_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) C_1))))))
% 3.20/3.44  (assume a168 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))))))
% 3.20/3.44  (assume a169 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) B))))))
% 3.20/3.44  (assume a170 (forall ((B $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))))))
% 3.20/3.44  (assume a171 (forall ((B $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) B))))))
% 3.20/3.44  (assume a172 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))))))
% 3.20/3.44  (assume a173 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) B))))))
% 3.20/3.44  (assume a174 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (= A_1 B) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A_1)))))
% 3.20/3.44  (assume a175 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (= A_1 B) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) A_1)))))
% 3.20/3.44  (assume a176 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (= A_1 B) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)))))
% 3.20/3.44  (assume a177 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (= A_1 B) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)))))
% 3.20/3.44  (assume a178 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun_pname_bool A_1) (tptp.is_fun_pname_bool B)) (= (= A_1 B) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A_1)))))))
% 3.20/3.44  (assume a179 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (= A_1 B) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) A_1))))))
% 3.20/3.44  (assume a180 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) A_1))))
% 3.20/3.44  (assume a181 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) A_1))))
% 3.20/3.44  (assume a182 (forall ((B_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (=> (= B_1 (tptp.hAPP_H1344248906_pname F X_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1)))))))
% 3.20/3.44  (assume a183 (forall ((B_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (=> (= B_1 (tptp.hAPP_p1842370726_state F X_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state B_1) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1)))))))
% 3.20/3.44  (assume a184 (forall ((F $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_H1344248906_pname F X_1)) (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1))))))
% 3.20/3.44  (assume a185 (forall ((F $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state (tptp.hAPP_p1842370726_state F X_1)) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1))))))
% 3.20/3.44  (assume a186 (forall ((Z $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state Z) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.is_pname X_2) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1)) (= Z (tptp.hAPP_p1842370726_state F X_2)))))))
% 3.20/3.44  (assume a187 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj) P_1)) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool Q_1)))))))
% 3.20/3.44  (assume a188 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fdisj) P_1)) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool P_1))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool Q_1)))))))
% 3.20/3.44  (assume a189 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fdisj) P_1)) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool tptp.collec727977250_state P_1))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool tptp.collec727977250_state Q_1)))))))
% 3.20/3.44  (assume a190 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fdisj) P_1)) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool tptp.collect_pname Q_1)))))))
% 3.20/3.44  (assume a191 (forall ((X_2 $$unsorted) (Xa $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) Xa) (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fdisj) (tptp.hAPP_p61793385e_bool (tptp.hAPP_f22061361e_bool tptp.cOMBC_1149511130e_bool tptp.fequal_pname) X_2))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) Xa))))))
% 3.20/3.44  (assume a192 (forall ((X_2 $$unsorted) (Xa $$unsorted)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_2) Xa) (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj) (tptp.hAPP_f434788991l_bool (tptp.hAPP_f1297925993l_bool tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) X_2))) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) Xa))))))
% 3.20/3.44  (assume a193 (forall ((X_2 $$unsorted) (Xa $$unsorted)) (= (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_2) Xa) (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fdisj) (tptp.hAPP_f854625363l_bool (tptp.hAPP_f2119687429l_bool tptp.cOMBC_1018307482l_bool tptp.fequal1746921144e_bool) X_2))) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f517001763l_bool tptp.cOMBC_1166591542l_bool tptp.member402455436e_bool) Xa))))))
% 3.20/3.44  (assume a194 (forall ((X_2 $$unsorted) (Xa $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_2) Xa) (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fdisj) (tptp.hAPP_H1645666623e_bool (tptp.hAPP_f262880489e_bool tptp.cOMBC_1424981238e_bool tptp.fequal1531560888_state) X_2))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) Xa))))))
% 3.20/3.44  (assume a195 (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (and (tptp.is_pname A) (tptp.is_pname B_1)) (=> (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) tptp.bot_bo844097828e_bool) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) tptp.bot_bo844097828e_bool)) (= A B_1)))))
% 3.20/3.44  (assume a196 (forall ((A $$unsorted) (B_1 $$unsorted)) (=> (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state B_1) tptp.bot_bo1055319631e_bool)) (= A B_1))))
% 3.20/3.44  (assume a197 (forall ((B_1 $$unsorted) (A $$unsorted)) (=> (and (tptp.is_pname B_1) (tptp.is_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) tptp.bot_bo844097828e_bool))) (= B_1 A)))))
% 3.20/3.44  (assume a198 (forall ((B_1 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state B_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) tptp.bot_bo1055319631e_bool))) (= B_1 A))))
% 3.20/3.44  (assume a199 (forall ((A $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.is_pname A) (tptp.is_pname B_1) (tptp.is_pname C) (tptp.is_pname D)) (= (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) tptp.bot_bo844097828e_bool)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname D) tptp.bot_bo844097828e_bool))) (or (and (= A C) (= B_1 D)) (and (= A D) (= B_1 C)))))))
% 3.20/3.44  (assume a200 (forall ((A $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D $$unsorted)) (= (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state B_1) tptp.bot_bo1055319631e_bool)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state D) tptp.bot_bo1055319631e_bool))) (or (and (= A C) (= B_1 D)) (and (= A D) (= B_1 C))))))
% 3.20/3.44  (assume a201 (forall ((B_1 $$unsorted) (A $$unsorted)) (=> (and (tptp.is_pname B_1) (tptp.is_pname A)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) tptp.bot_bo844097828e_bool))) (= B_1 A)))))
% 3.20/3.44  (assume a202 (forall ((B_1 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state B_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) tptp.bot_bo1055319631e_bool))) (= B_1 A))))
% 3.20/3.44  (assume a203 (forall ((A $$unsorted) (A_1 $$unsorted)) (not (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) A_1) tptp.bot_bo844097828e_bool))))
% 3.20/3.44  (assume a204 (forall ((A $$unsorted) (A_1 $$unsorted)) (not (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) A_1) tptp.bot_bo1055319631e_bool))))
% 3.20/3.44  (assume a205 (forall ((A $$unsorted) (A_1 $$unsorted)) (not (= tptp.bot_bo844097828e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) A_1)))))
% 3.20/3.44  (assume a206 (forall ((A $$unsorted) (A_1 $$unsorted)) (not (= tptp.bot_bo1055319631e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) A_1)))))
% 3.20/3.44  (assume a207 (forall ((A $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A) A_1))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)))))
% 3.20/3.44  (assume a208 (forall ((A $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool A) A_1))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)))))
% 3.20/3.44  (assume a209 (forall ((A $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)))))
% 3.20/3.44  (assume a210 (forall ((A $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) A_1))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)))))
% 3.20/3.44  (assume a211 (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) tptp.bot_bo844097828e_bool)) (= A_1 tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a212 (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) tptp.bot_bo1055319631e_bool)) (= A_1 tptp.bot_bo1055319631e_bool))))
% 3.20/3.44  (assume a213 (forall ((F $$unsorted) (A_1 $$unsorted)) (= (= (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1) tptp.bot_bo844097828e_bool) (= A_1 tptp.bot_bo1055319631e_bool))))
% 3.20/3.44  (assume a214 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (= (= (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1) tptp.bot_bo1055319631e_bool) (= A_1 tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a215 (forall ((F $$unsorted)) (= (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) tptp.bot_bo1055319631e_bool) tptp.bot_bo844097828e_bool)))
% 3.20/3.44  (assume a216 (forall ((F $$unsorted)) (= (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) tptp.bot_bo844097828e_bool) tptp.bot_bo1055319631e_bool)))
% 3.20/3.44  (assume a217 (forall ((F $$unsorted) (A_1 $$unsorted)) (= (= tptp.bot_bo844097828e_bool (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1)) (= A_1 tptp.bot_bo1055319631e_bool))))
% 3.20/3.44  (assume a218 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (= (= tptp.bot_bo1055319631e_bool (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1)) (= A_1 tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a219 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1))))))
% 3.20/3.44  (assume a220 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool B)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1))))))
% 3.20/3.44  (assume a221 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state B)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1))))))
% 3.20/3.44  (assume a222 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))))))
% 3.20/3.44  (assume a223 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A_1) B)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1))))))
% 3.20/3.44  (assume a224 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool A_1) B)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1))))))
% 3.20/3.44  (assume a225 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state B)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1))))))
% 3.20/3.44  (assume a226 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))))))
% 3.20/3.44  (assume a227 (forall ((A $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_1) D_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) C_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) D_1))))))
% 3.20/3.44  (assume a228 (forall ((A $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C_1) D_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) C_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) D_1))))))
% 3.20/3.44  (assume a229 (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (tptp.hBOOL (tptp.hAPP_pname_bool A_1 X_1)))))
% 3.20/3.44  (assume a230 (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool A_1 X_1)))))
% 3.20/3.44  (assume a231 (forall ((P_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool tptp.collec727977250_state P_1) P_1)))
% 3.20/3.44  (assume a232 (forall ((P_1 $$unsorted)) (=> (tptp.is_fun_pname_bool P_1) (= (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1) P_1))))
% 3.20/3.44  (assume a233 (forall ((P_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool P_1) (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1) P_1))))
% 3.20/3.44  (assume a234 (forall ((P_1 $$unsorted)) (= (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool P_1) P_1)))
% 3.20/3.44  (assume a235 (forall ((B_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) B))))))
% 3.20/3.44  (assume a236 (forall ((B_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state B_1) B))))))
% 3.20/3.44  (assume a237 (forall ((B $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1))) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B))))))
% 3.20/3.44  (assume a238 (forall ((B $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1))) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) B))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B))))))
% 3.20/3.44  (assume a239 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A_1)) B)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B))))))
% 3.20/3.44  (assume a240 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) A_1)) B)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) B)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B))))))
% 3.20/3.44  (assume a241 (forall ((B $$unsorted) (A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)))))
% 3.20/3.44  (assume a242 (forall ((B $$unsorted) (A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)))))
% 3.20/3.44  (assume a243 (forall ((F $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname (tptp.hAPP_H1344248906_pname F X_1)) (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1)) (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1)))))
% 3.20/3.44  (assume a244 (forall ((F $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_p1842370726_state F X_1)) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1)) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1)))))
% 3.20/3.44  (assume a245 (forall ((F $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname (tptp.hAPP_H1344248906_pname F A)) (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) B)))))
% 3.20/3.44  (assume a246 (forall ((F $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_p1842370726_state F A)) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) B)))))
% 3.20/3.44  (assume a247 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1)) (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) B))))))
% 3.20/3.44  (assume a248 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1)) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) B))))))
% 3.20/3.44  (assume a249 (forall ((B $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1))) (exists ((AA $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool AA) A_1)) (= B (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) AA))))))))
% 3.20/3.44  (assume a250 (forall ((B $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1))) (exists ((AA $$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 (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) AA)))))))
% 3.20/3.44  (assume a251 (forall ((M_1 $$unsorted) (A $$unsorted) (B_1 $$unsorted)) (=> (= (tptp.hAPP_p799580910on_com M_1 A) (tptp.some_com B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) (tptp.dom_pname_com M_1))))))
% 3.20/3.44  (assume a252 (forall ((P_1 $$unsorted) (A $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_pname_bool P_1 A)) (= (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fconj) (tptp.hAPP_p61793385e_bool (tptp.hAPP_f22061361e_bool tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A))) P_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) tptp.bot_bo844097828e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_pname_bool P_1 A))) (= (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fconj) (tptp.hAPP_p61793385e_bool (tptp.hAPP_f22061361e_bool tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A))) P_1)) tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a253 (forall ((P_1 $$unsorted) (A $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A)) (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj) (tptp.hAPP_f434788991l_bool (tptp.hAPP_f1297925993l_bool tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A))) P_1)) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A) tptp.bot_bo1649642514l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A))) (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj) (tptp.hAPP_f434788991l_bool (tptp.hAPP_f1297925993l_bool tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A))) P_1)) tptp.bot_bo1649642514l_bool)))))
% 3.20/3.44  (assume a254 (forall ((P_1 $$unsorted) (A $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 A)) (= (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fconj) (tptp.hAPP_f854625363l_bool (tptp.hAPP_f2119687429l_bool tptp.cOMBC_1018307482l_bool tptp.fequal1746921144e_bool) A))) P_1)) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool A) tptp.bot_bo1325454745l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 A))) (= (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fconj) (tptp.hAPP_f854625363l_bool (tptp.hAPP_f2119687429l_bool tptp.cOMBC_1018307482l_bool tptp.fequal1746921144e_bool) A))) P_1)) tptp.bot_bo1325454745l_bool)))))
% 3.20/3.44  (assume a255 (forall ((P_1 $$unsorted) (A $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 A)) (= (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fconj) (tptp.hAPP_H1645666623e_bool (tptp.hAPP_f262880489e_bool tptp.cOMBC_1424981238e_bool tptp.fequal1531560888_state) A))) P_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) tptp.bot_bo1055319631e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 A))) (= (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fconj) (tptp.hAPP_H1645666623e_bool (tptp.hAPP_f262880489e_bool tptp.cOMBC_1424981238e_bool tptp.fequal1531560888_state) A))) P_1)) tptp.bot_bo1055319631e_bool)))))
% 3.20/3.44  (assume a256 (forall ((P_1 $$unsorted) (A $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_pname_bool P_1 A)) (= (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fconj) (tptp.hAPP_p61793385e_bool tptp.fequal_pname A))) P_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) tptp.bot_bo844097828e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_pname_bool P_1 A))) (= (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fconj) (tptp.hAPP_p61793385e_bool tptp.fequal_pname A))) P_1)) tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a257 (forall ((P_1 $$unsorted) (A $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A)) (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj) (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool A))) P_1)) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A) tptp.bot_bo1649642514l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A))) (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj) (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool A))) P_1)) tptp.bot_bo1649642514l_bool)))))
% 3.20/3.44  (assume a258 (forall ((P_1 $$unsorted) (A $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 A)) (= (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fconj) (tptp.hAPP_f854625363l_bool tptp.fequal1746921144e_bool A))) P_1)) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool A) tptp.bot_bo1325454745l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 A))) (= (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fconj) (tptp.hAPP_f854625363l_bool tptp.fequal1746921144e_bool A))) P_1)) tptp.bot_bo1325454745l_bool)))))
% 3.20/3.44  (assume a259 (forall ((P_1 $$unsorted) (A $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 A)) (= (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fconj) (tptp.hAPP_H1645666623e_bool tptp.fequal1531560888_state A))) P_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) tptp.bot_bo1055319631e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 A))) (= (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fconj) (tptp.hAPP_H1645666623e_bool tptp.fequal1531560888_state A))) P_1)) tptp.bot_bo1055319631e_bool)))))
% 3.20/3.44  (assume a260 (forall ((A $$unsorted)) (= (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_p61793385e_bool (tptp.hAPP_f22061361e_bool tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) tptp.bot_bo844097828e_bool))))
% 3.20/3.44  (assume a261 (forall ((A $$unsorted)) (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.hAPP_f1297925993l_bool tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A)) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A) tptp.bot_bo1649642514l_bool))))
% 3.20/3.44  (assume a262 (forall ((A $$unsorted)) (= (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f854625363l_bool (tptp.hAPP_f2119687429l_bool tptp.cOMBC_1018307482l_bool tptp.fequal1746921144e_bool) A)) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool A) tptp.bot_bo1325454745l_bool))))
% 3.20/3.44  (assume a263 (forall ((A $$unsorted)) (= (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_H1645666623e_bool (tptp.hAPP_f262880489e_bool tptp.cOMBC_1424981238e_bool tptp.fequal1531560888_state) A)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) tptp.bot_bo1055319631e_bool))))
% 3.20/3.44  (assume a264 (forall ((A $$unsorted)) (= (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_p61793385e_bool tptp.fequal_pname A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) tptp.bot_bo844097828e_bool))))
% 3.20/3.44  (assume a265 (forall ((A $$unsorted)) (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool A)) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A) tptp.bot_bo1649642514l_bool))))
% 3.20/3.44  (assume a266 (forall ((A $$unsorted)) (= (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f854625363l_bool tptp.fequal1746921144e_bool A)) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool A) tptp.bot_bo1325454745l_bool))))
% 3.20/3.44  (assume a267 (forall ((A $$unsorted)) (= (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_H1645666623e_bool tptp.fequal1531560888_state A)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) tptp.bot_bo1055319631e_bool))))
% 3.20/3.44  (assume a268 (forall ((C $$unsorted) (G_1 $$unsorted)) (=> (tptp.hBOOL tptp.hoare_298929751gleton) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) (tptp.dom_pname_com tptp.body))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_pname_com tptp.body_1 X_2))) tptp.bot_bo1055319631e_bool)))))) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))))))
% 3.20/3.44  (assume a269 (forall ((Pn $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))))
% 3.20/3.44  (assume a270 (forall ((B_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_pname B_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1))) (not (forall ((X_2 $$unsorted)) (=> (= B_1 (tptp.hAPP_H1344248906_pname F X_2)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1))))))))))
% 3.20/3.44  (assume a271 (forall ((B_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state B_1) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1))) (not (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (=> (= B_1 (tptp.hAPP_p1842370726_state F X_2)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1))))))))))
% 3.20/3.44  (assume a272 (forall ((P_1 $$unsorted) (A_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool Fa) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 tptp.bot_bo1649642514l_bool)) (=> (forall ((A_3 $$unsorted) (F_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool A_3) (tptp.is_fun1661590463l_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_3) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_3) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_3) F_1))))))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 Fa))))))))
% 3.20/3.44  (assume a273 (forall ((P_1 $$unsorted) (A_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool Fa) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool P_1 tptp.bot_bo1325454745l_bool)) (=> (forall ((A_3 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool A_3) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool A_3) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool P_1 (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool A_3) F_1)))))))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool P_1 Fa))))))))
% 3.20/3.44  (assume a274 (forall ((P_1 $$unsorted) (A_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Fa) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 tptp.bot_bo844097828e_bool)) (=> (forall ((A_3 $$unsorted) (F_1 $$unsorted)) (=> (and (tptp.is_pname A_3) (tptp.is_fun_pname_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_3) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_3) F_1))))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 Fa))))))))
% 3.20/3.44  (assume a275 (forall ((P_1 $$unsorted) (A_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Fa) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 tptp.bot_bo1055319631e_bool)) (=> (forall ((A_3 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A_3) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A_3) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A_3) F_1)))))))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 Fa))))))))
% 3.20/3.44  (assume a276 (forall ((P $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt (tptp.hAPP_pname_com tptp.body_1 P))) (not (forall ((Y_2 $$unsorted)) (not (= (tptp.hAPP_p799580910on_com tptp.body P) (tptp.some_com Y_2))))))))
% 3.20/3.44  (assume a277 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) B))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)))))
% 3.20/3.44  (assume a278 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) B)))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)))))
% 3.20/3.44  (assume a279 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state B)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) (tptp.hAPP_f780887186e_bool (tptp.image_936554724_state F) A_1))) (exists ((C_3 $$unsorted)) (and (tptp.is_fun1661590463l_bool C_3) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool C_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool C_3)) (= B (tptp.hAPP_f780887186e_bool (tptp.image_936554724_state F) C_3))))))))
% 3.20/3.44  (assume a280 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state B)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) (tptp.hAPP_f772567431e_bool (tptp.image_774712299_state F) A_1))) (exists ((C_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool C_3) A_1)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool C_3)) (= B (tptp.hAPP_f772567431e_bool (tptp.image_774712299_state F) C_3))))))))
% 3.20/3.44  (assume a281 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.is_fun_pname_bool B) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f674760225e_bool (tptp.image_1283814551_pname F) A_1))) (exists ((C_3 $$unsorted)) (and (tptp.is_fun1661590463l_bool C_3) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool C_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool C_3)) (= B (tptp.hAPP_f674760225e_bool (tptp.image_1283814551_pname F) C_3)))))))))
% 3.20/3.44  (assume a282 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.is_fun_pname_bool B) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f280588268e_bool (tptp.image_636285904_pname F) A_1))) (exists ((C_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool C_3) A_1)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool C_3)) (= B (tptp.hAPP_f280588268e_bool (tptp.image_636285904_pname F) C_3)))))))))
% 3.20/3.44  (assume a283 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.is_fun1661590463l_bool B) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.hAPP_f748867288l_bool (tptp.image_1259634916e_bool F) A_1))) (exists ((C_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state C_3)) (= B (tptp.hAPP_f748867288l_bool (tptp.image_1259634916e_bool F) C_3)))))))))
% 3.20/3.44  (assume a284 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool B) (tptp.hAPP_f854625363l_bool (tptp.image_277167759e_bool F) A_1))) (exists ((C_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state C_3)) (= B (tptp.hAPP_f854625363l_bool (tptp.image_277167759e_bool F) C_3))))))))
% 3.20/3.44  (assume a285 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.is_fun_pname_bool B) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1))) (exists ((C_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state C_3)) (= B (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) C_3)))))))))
% 3.20/3.44  (assume a286 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.is_fun1661590463l_bool B) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.hAPP_f434788991l_bool (tptp.image_47868345e_bool F) A_1))) (exists ((C_3 $$unsorted)) (and (tptp.is_fun_pname_bool C_3) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_3)) (= B (tptp.hAPP_f434788991l_bool (tptp.image_47868345e_bool F) C_3)))))))))
% 3.20/3.44  (assume a287 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool B) (tptp.hAPP_f1874607724l_bool (tptp.image_505480954e_bool F) A_1))) (exists ((C_3 $$unsorted)) (and (tptp.is_fun_pname_bool C_3) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_3)) (= B (tptp.hAPP_f1874607724l_bool (tptp.image_505480954e_bool F) C_3))))))))
% 3.20/3.44  (assume a288 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.is_fun_pname_bool B) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname F) A_1))) (exists ((C_3 $$unsorted)) (and (tptp.is_fun_pname_bool C_3) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_3)) (= B (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname F) C_3)))))))))
% 3.20/3.44  (assume a289 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state B)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1))) (exists ((C_3 $$unsorted)) (and (tptp.is_fun_pname_bool C_3) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_3) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_3)) (= B (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) C_3))))))))
% 3.20/3.44  (assume a290 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.dom_pname_com tptp.body))))
% 3.20/3.44  (assume a291 (forall ((P_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 tptp.bot_bo1649642514l_bool)) (=> (forall ((X_2 $$unsorted) (F_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool X_2) (tptp.is_fun1661590463l_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_2) F_1)))))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 Fa)))))))
% 3.20/3.44  (assume a292 (forall ((P_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool P_1 tptp.bot_bo1325454745l_bool)) (=> (forall ((X_2 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool F_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool X_2) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool P_1 (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_2) F_1))))))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool P_1 Fa)))))))
% 3.20/3.44  (assume a293 (forall ((P_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 tptp.bot_bo844097828e_bool)) (=> (forall ((X_2 $$unsorted) (F_1 $$unsorted)) (=> (and (tptp.is_pname X_2) (tptp.is_fun_pname_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) F_1)))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 Fa)))))))
% 3.20/3.44  (assume a294 (forall ((P_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 tptp.bot_bo1055319631e_bool)) (=> (forall ((X_2 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state F_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_2) F_1))))))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 Fa)))))))
% 3.20/3.44  (assume a295 (forall ((A $$unsorted)) (=> (tptp.is_fun1661590463l_bool A) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (or (= A tptp.bot_bo1649642514l_bool) (exists ((A_4 $$unsorted) (A_3 $$unsorted)) (and (tptp.is_fun1661590463l_bool A_4) (tptp.is_fun_pname_bool A_3) (= A (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_3) A_4)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_4)))))))))
% 3.20/3.44  (assume a296 (forall ((A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A)) (or (= A tptp.bot_bo1325454745l_bool) (exists ((A_4 $$unsorted) (A_3 $$unsorted)) (and (= A (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool A_3) A_4)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_4))))))))
% 3.20/3.44  (assume a297 (forall ((A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (or (= A tptp.bot_bo844097828e_bool) (exists ((A_4 $$unsorted) (A_3 $$unsorted)) (and (tptp.is_fun_pname_bool A_4) (tptp.is_pname A_3) (= A (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_3) A_4)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_4)))))))))
% 3.20/3.44  (assume a298 (forall ((A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A)) (or (= A tptp.bot_bo1055319631e_bool) (exists ((A_4 $$unsorted) (A_3 $$unsorted)) (and (= A (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A_3) A_4)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_4))))))))
% 3.20/3.44  (assume a299 (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.hAPP_f434788991l_bool (tptp.image_47868345e_bool F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.is_pname X_2) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fconj) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) A_1))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool (tptp.hAPP_f567934427l_bool (tptp.cOMBB_408569982_pname tptp.fequal533582459e_bool) F)) (tptp.hAPP_p61793385e_bool F X_2)))))))))))))
% 3.20/3.44  (assume a300 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1874607724l_bool (tptp.image_505480954e_bool F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.is_pname X_2) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fconj) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) A_1))) (tptp.hAPP_f1745235422e_bool (tptp.hAPP_f1558052123e_bool tptp.cOMBC_2140141647l_bool (tptp.hAPP_f2081555625l_bool (tptp.cOMBB_44445098_pname tptp.fequal1746921144e_bool) F)) (tptp.hAPP_p877885514e_bool F X_2)))))))))))))
% 3.20/3.44  (assume a301 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool (tptp.image_650584225_state F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fconj) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) A_1))) (tptp.hAPP_H1645666623e_bool (tptp.hAPP_f262880489e_bool tptp.cOMBC_1424981238e_bool (tptp.hAPP_f1844318385e_bool (tptp.cOMBB_291471741_state tptp.fequal1531560888_state) F)) (tptp.hAPP_H563960305_state F X_2)))))))))))))
% 3.20/3.44  (assume a302 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f780887186e_bool (tptp.image_936554724_state F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.is_fun_pname_bool X_2) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) A_1))) (tptp.hAPP_H737849090l_bool (tptp.hAPP_f261382953l_bool tptp.cOMBC_2107548985e_bool (tptp.hAPP_f547518321e_bool (tptp.cOMBB_1170234304e_bool tptp.fequal1531560888_state) F)) (tptp.hAPP_f1308959284_state F X_2)))))))))))))
% 3.20/3.44  (assume a303 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f772567431e_bool (tptp.image_774712299_state F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fconj) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f517001763l_bool tptp.cOMBC_1166591542l_bool tptp.member402455436e_bool) A_1))) (tptp.hAPP_H248360617l_bool (tptp.hAPP_f492098723l_bool tptp.cOMBC_1305755390e_bool (tptp.hAPP_f481659057e_bool (tptp.cOMBB_1099197107e_bool tptp.fequal1531560888_state) F)) (tptp.hAPP_f2143211163_state F X_2)))))))))))))
% 3.20/3.44  (assume a304 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.is_pname X_2) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fconj) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) A_1))) (tptp.hAPP_p61793385e_bool (tptp.hAPP_f22061361e_bool tptp.cOMBC_1149511130e_bool (tptp.hAPP_f1336811455e_bool (tptp.cOMBB_542850580_pname tptp.fequal_pname) F)) (tptp.hAPP_pname_pname F X_2)))))))))))))
% 3.20/3.44  (assume a305 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fconj) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) A_1))) (tptp.hAPP_p877885514e_bool (tptp.hAPP_f294904177e_bool tptp.cOMBC_725526061e_bool (tptp.hAPP_f833390165e_bool (tptp.cOMBB_1456120487_state tptp.fequal_pname) F)) (tptp.hAPP_H1344248906_pname F X_2)))))))))))))
% 3.20/3.44  (assume a306 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f674760225e_bool (tptp.image_1283814551_pname F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.is_fun_pname_bool X_2) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) A_1))) (tptp.hAPP_p338031245l_bool (tptp.hAPP_f2082757169l_bool tptp.cOMBC_1004116266e_bool (tptp.hAPP_f1385420507e_bool (tptp.cOMBB_598082538e_bool tptp.fequal_pname) F)) (tptp.hAPP_f1297739591_pname F X_2)))))))))))))
% 3.20/3.44  (assume a307 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f280588268e_bool (tptp.image_636285904_pname F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fconj) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f517001763l_bool tptp.cOMBC_1166591542l_bool tptp.member402455436e_bool) A_1))) (tptp.hAPP_p1617973726l_bool (tptp.hAPP_f2070658331l_bool tptp.cOMBC_367297061e_bool (tptp.hAPP_f1973135743e_bool (tptp.cOMBB_1671808265e_bool tptp.fequal_pname) F)) (tptp.hAPP_f1008690464_pname F X_2)))))))))))))
% 3.20/3.44  (assume a308 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f748867288l_bool (tptp.image_1259634916e_bool F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fconj) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) A_1))) (tptp.hAPP_f631639356e_bool (tptp.hAPP_f1721106985e_bool tptp.cOMBC_498627897l_bool (tptp.hAPP_f376825399l_bool (tptp.cOMBB_1722165949_state tptp.fequal533582459e_bool) F)) (tptp.hAPP_H1632039476e_bool F X_2)))))))))))))
% 3.20/3.44  (assume a309 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1))) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f854625363l_bool (tptp.image_277167759e_bool F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fconj) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) A_1))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool (tptp.hAPP_f1862834069l_bool (tptp.cOMBB_1239130257_state tptp.fequal1746921144e_bool) F)) (tptp.hAPP_H1645666623e_bool F X_2)))))))))))))
% 3.20/3.44  (assume a310 (forall ((F $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1))) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1))) (exists ((X_2 $$unsorted)) (and (tptp.is_pname X_2) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fconj) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) A_1))) (tptp.hAPP_H1632039476e_bool (tptp.hAPP_f167506745e_bool tptp.cOMBC_290948233e_bool (tptp.hAPP_f998786331e_bool (tptp.cOMBB_799949246_pname tptp.fequal1531560888_state) F)) (tptp.hAPP_p1842370726_state F X_2)))))))))))))
% 3.20/3.44  (assume a311 (forall ((Pname_2 $$unsorted) (Pname_1 $$unsorted)) (=> (and (tptp.is_pname Pname_2) (tptp.is_pname Pname_1)) (= (= (tptp.hAPP_pname_com tptp.body_1 Pname_2) (tptp.hAPP_pname_com tptp.body_1 Pname_1)) (= Pname_2 Pname_1)))))
% 3.20/3.44  (assume a312 (forall ((G_1 $$unsorted) (Procs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool G_1) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) Procs))) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) (tptp.hAPP_f96342628me_com (tptp.cOMBB_923936821_pname tptp.the_com) tptp.body))) Procs))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Procs)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) Procs)))))))
% 3.20/3.44  (assume a313 (forall ((A $$unsorted) (M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) (tptp.dom_pname_com M_1))) (exists ((B_3 $$unsorted)) (= (tptp.hAPP_p799580910on_com M_1 A) (tptp.some_com B_3))))))
% 3.20/3.44  (assume a314 (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (= (tptp.hAPP_f1297739591_pname tptp.the_elem_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) X_1))))
% 3.20/3.44  (assume a315 (forall ((X_1 $$unsorted)) (= (tptp.hAPP_f2143211163_state tptp.the_el23965208_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) tptp.bot_bo1055319631e_bool)) X_1)))
% 3.20/3.44  (assume a316 (forall ((F $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_H1344248906_pname F X_2)) B)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f1745235422e_bool (tptp.image_1925245338_pname F) A_1)) B)))))
% 3.20/3.44  (assume a317 (forall ((F $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state (tptp.hAPP_p1842370726_state F X_2)) B))))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1)) B)))))
% 3.20/3.44  (assume a318 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) X_1))))
% 3.20/3.44  (assume a319 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) X_1))))
% 3.20/3.44  (assume a320 (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (= (not (= A_1 tptp.bot_bo844097828e_bool)) (exists ((X_2 $$unsorted) (B_2 $$unsorted)) (and (tptp.is_pname X_2) (tptp.is_fun_pname_bool B_2) (= A_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) B_2)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) B_2)))))))))
% 3.20/3.44  (assume a321 (forall ((A_1 $$unsorted)) (= (not (= A_1 tptp.bot_bo1055319631e_bool)) (exists ((X_2 $$unsorted) (B_2 $$unsorted)) (and (= A_1 (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_2) B_2)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) B_2))))))))
% 3.20/3.44  (assume a322 (forall ((X_4 $$unsorted)) (= (tptp.hAPP_option_com_com tptp.the_com (tptp.some_com X_4)) X_4)))
% 3.20/3.44  (assume a323 (forall ((G_1 $$unsorted) (P_1 $$unsorted) (Pn_1 $$unsorted) (Q_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) (tptp.hAPP_option_com_com tptp.the_com (tptp.hAPP_p799580910on_com tptp.body Pn_1))) Q_1)) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) (tptp.hAPP_pname_com tptp.body_1 Pn_1)) Q_1)) tptp.bot_bo1055319631e_bool))))))
% 3.20/3.44  (assume a324 (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B))))))
% 3.20/3.44  (assume a325 (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) B))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) A_1))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B))))))
% 3.20/3.44  (assume a326 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))))))
% 3.20/3.44  (assume a327 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) A_1))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) B))))))
% 3.20/3.44  (assume a328 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fdisj) P_1)) Q_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1)) (tptp.hAPP_f759274231e_bool tptp.collect_pname Q_1)))))
% 3.20/3.44  (assume a329 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj) P_1)) Q_1)) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1)) (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool Q_1)))))
% 3.20/3.44  (assume a330 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fdisj) P_1)) Q_1)) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila2055205435l_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool P_1)) (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool Q_1)))))
% 3.20/3.44  (assume a331 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fdisj) P_1)) Q_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool tptp.collec727977250_state P_1)) (tptp.hAPP_f921536533e_bool tptp.collec727977250_state Q_1)))))
% 3.20/3.44  (assume a332 (forall ((Fun1_2 $$unsorted) (Com_2 $$unsorted) (Fun2_2 $$unsorted) (Fun1_1 $$unsorted) (Com_1 $$unsorted) (Fun2_1 $$unsorted)) (= (= (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state Fun1_2) Com_2) Fun2_2) (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state Fun1_1) Com_1) Fun2_1)) (and (= Fun1_2 Fun1_1) (= Com_2 Com_1) (= Fun2_2 Fun2_1)))))
% 3.20/3.44  (assume a333 (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B))))))
% 3.20/3.44  (assume a334 (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) B)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B))))))
% 3.20/3.44  (assume a335 (forall ((B $$unsorted) (C $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B))))))
% 3.20/3.44  (assume a336 (forall ((B $$unsorted) (C $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B))))))
% 3.20/3.44  (assume a337 (forall ((P_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B))) (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_2)))) (and (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_2)))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) B)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_2))))))))
% 3.20/3.44  (assume a338 (forall ((P_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B))) (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_2)))) (or (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_2)))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) B)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_2))))))))
% 3.20/3.44  (assume a339 (forall ((A_1 $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B)) C_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B) C_1)))))
% 3.20/3.44  (assume a340 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B))) (or (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))))))
% 3.20/3.44  (assume a341 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B))) (or (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) B))))))
% 3.20/3.44  (assume a342 (forall ((A_1 $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B) C_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) C_1)))))
% 3.20/3.44  (assume a343 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B))))
% 3.20/3.44  (assume a344 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B) A_1))))
% 3.20/3.44  (assume a345 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B) (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fdisj) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) A_1))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) B))))))
% 3.20/3.44  (assume a346 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool A_1) B) (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) A_1))) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) B))))))
% 3.20/3.44  (assume a347 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila2055205435l_bool A_1) B) (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fdisj) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f517001763l_bool tptp.cOMBC_1166591542l_bool tptp.member402455436e_bool) A_1))) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f517001763l_bool tptp.cOMBC_1166591542l_bool tptp.member402455436e_bool) B))))))
% 3.20/3.44  (assume a348 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B) (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fdisj) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) A_1))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) B))))))
% 3.20/3.44  (assume a349 (forall ((A_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) A_1) A_1)))
% 3.20/3.44  (assume a350 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun_pname_bool A_1) (tptp.is_fun_pname_bool B)) (= (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B) tptp.bot_bo844097828e_bool) (and (= A_1 tptp.bot_bo844097828e_bool) (= B tptp.bot_bo844097828e_bool))))))
% 3.20/3.44  (assume a351 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B) tptp.bot_bo1055319631e_bool) (and (= A_1 tptp.bot_bo1055319631e_bool) (= B tptp.bot_bo1055319631e_bool)))))
% 3.20/3.44  (assume a352 (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) tptp.bot_bo844097828e_bool) A_1))))
% 3.20/3.44  (assume a353 (forall ((A_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) tptp.bot_bo1055319631e_bool) A_1)))
% 3.20/3.44  (assume a354 (forall ((B $$unsorted)) (=> (tptp.is_fun_pname_bool B) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool tptp.bot_bo844097828e_bool) B) B))))
% 3.20/3.44  (assume a355 (forall ((B $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool tptp.bot_bo1055319631e_bool) B) B)))
% 3.20/3.44  (assume a356 (forall ((G_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool G_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool Fa) G_1)))))))
% 3.20/3.44  (assume a357 (forall ((G_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool G_1)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila2055205435l_bool Fa) G_1)))))))
% 3.20/3.44  (assume a358 (forall ((G_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname G_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Fa) G_1)))))))
% 3.20/3.44  (assume a359 (forall ((G_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state G_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Fa) G_1)))))))
% 3.20/3.44  (assume a360 (forall ((Fa $$unsorted) (G_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool Fa) G_1))) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool G_1))))))
% 3.20/3.44  (assume a361 (forall ((Fa $$unsorted) (G_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila2055205435l_bool Fa) G_1))) (and (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool G_1))))))
% 3.20/3.44  (assume a362 (forall ((Fa $$unsorted) (G_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Fa) G_1))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname G_1))))))
% 3.20/3.44  (assume a363 (forall ((Fa $$unsorted) (G_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Fa) G_1))) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state Fa)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state G_1))))))
% 3.20/3.44  (assume a364 (forall ((A $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) C_1)))))
% 3.20/3.44  (assume a365 (forall ((A $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) C_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B) C_1)))))
% 3.20/3.44  (assume a366 (forall ((A_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B)))))
% 3.20/3.44  (assume a367 (forall ((A_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B)))))
% 3.20/3.44  (assume a368 (forall ((B $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) D_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool C_1) D_1)))))))
% 3.20/3.44  (assume a369 (forall ((B $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) D_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool C_1) D_1)))))))
% 3.20/3.44  (assume a370 (forall ((B $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) C_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B)) C_1))))))
% 3.20/3.44  (assume a371 (forall ((B $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) C_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B)) C_1))))))
% 3.20/3.44  (assume a372 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B) A_1)))))
% 3.20/3.44  (assume a373 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) A_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B) A_1))))
% 3.20/3.44  (assume a374 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.is_fun_pname_bool B) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B) B)))))
% 3.20/3.44  (assume a375 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B) B))))
% 3.20/3.44  (assume a376 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.is_fun_pname_bool B) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B) B)))))
% 3.20/3.44  (assume a377 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B) B))))
% 3.20/3.44  (assume a378 (forall ((B $$unsorted) (A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B)))))
% 3.20/3.44  (assume a379 (forall ((B $$unsorted) (A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B)))))
% 3.20/3.44  (assume a380 (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B)))))
% 3.20/3.44  (assume a381 (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B)))))
% 3.20/3.44  (assume a382 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1)) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) B)))))
% 3.20/3.44  (assume a383 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_p61793385e_bool (tptp.hAPP_f22061361e_bool tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A))) B))))
% 3.20/3.44  (assume a384 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_H1645666623e_bool (tptp.hAPP_f262880489e_bool tptp.cOMBC_1424981238e_bool tptp.fequal1531560888_state) A))) B))))
% 3.20/3.44  (assume a385 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A) B) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.hAPP_f1297925993l_bool tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A))) B))))
% 3.20/3.44  (assume a386 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool A) B) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila2055205435l_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f854625363l_bool (tptp.hAPP_f2119687429l_bool tptp.cOMBC_1018307482l_bool tptp.fequal1746921144e_bool) A))) B))))
% 3.20/3.44  (assume a387 (forall ((A $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) tptp.bot_bo844097828e_bool)) A_1))))
% 3.20/3.44  (assume a388 (forall ((A $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) tptp.bot_bo1055319631e_bool)) A_1))))
% 3.20/3.44  (assume a389 (forall ((G_1 $$unsorted) (P_1 $$unsorted) (Q_1 $$unsorted) (Procs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool G_1) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1296386871_state (tptp.hAPP_f358330902_state tptp.cOMBS_1615712031_state (tptp.hAPP_f2136041130_state (tptp.hAPP_f1777033564_state tptp.cOMBS_1401555724_state (tptp.hAPP_f950918952_state (tptp.cOMBB_2123334001_pname tptp.hoare_1575745797_state) P_1)) tptp.body_1)) Q_1)) Procs))) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1296386871_state (tptp.hAPP_f358330902_state tptp.cOMBS_1615712031_state (tptp.hAPP_f2136041130_state (tptp.hAPP_f1777033564_state tptp.cOMBS_1401555724_state (tptp.hAPP_f950918952_state (tptp.cOMBB_2123334001_pname tptp.hoare_1575745797_state) P_1)) (tptp.hAPP_f96342628me_com (tptp.cOMBB_923936821_pname tptp.the_com) tptp.body))) Q_1)) Procs))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1296386871_state (tptp.hAPP_f358330902_state tptp.cOMBS_1615712031_state (tptp.hAPP_f2136041130_state (tptp.hAPP_f1777033564_state tptp.cOMBS_1401555724_state (tptp.hAPP_f950918952_state (tptp.cOMBB_2123334001_pname tptp.hoare_1575745797_state) P_1)) tptp.body_1)) Q_1)) Procs))))))
% 3.20/3.44  (assume a390 (forall ((Z $$unsorted) (Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_1) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Z) Y_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Z) X_1))))))
% 3.20/3.44  (assume a391 (forall ((Z $$unsorted) (Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_1) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Z) Y_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Z) X_1))))))
% 3.20/3.44  (assume a392 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool Y_1) (tptp.is_fun_pname_bool X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_1) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_1)) (= X_1 Y_1))))))
% 3.20/3.44  (assume a393 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_1) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Y_1)) (= X_1 Y_1)))))
% 3.20/3.44  (assume a394 (forall ((Z $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_1) Z)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Z))))))
% 3.20/3.44  (assume a395 (forall ((Z $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_1) Z)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Z))))))
% 3.20/3.44  (assume a396 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool X_1) (tptp.is_fun_pname_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_1) X_1)) (= X_1 Y_1))))))
% 3.20/3.44  (assume a397 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_1) X_1)) (= X_1 Y_1)))))
% 3.20/3.44  (assume a398 (forall ((C $$unsorted) (B_1 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) A)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C) A))))))
% 3.20/3.44  (assume a399 (forall ((C $$unsorted) (B_1 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B_1) A)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C) A))))))
% 3.20/3.44  (assume a400 (forall ((C $$unsorted) (A $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) C))))))
% 3.20/3.44  (assume a401 (forall ((C $$unsorted) (A $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A) B_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A) C))))))
% 3.20/3.44  (assume a402 (forall ((C $$unsorted) (A $$unsorted) (B_1 $$unsorted)) (=> (= A B_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C) B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C) A))))))
% 3.20/3.44  (assume a403 (forall ((C $$unsorted) (A $$unsorted) (B_1 $$unsorted)) (=> (= A B_1) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C) B_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C) A))))))
% 3.20/3.44  (assume a404 (forall ((C $$unsorted) (A $$unsorted) (B_1 $$unsorted)) (=> (= A B_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) C)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) C))))))
% 3.20/3.44  (assume a405 (forall ((C $$unsorted) (A $$unsorted) (B_1 $$unsorted)) (=> (= A B_1) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B_1) C)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A) C))))))
% 3.20/3.44  (assume a406 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool Y_1) (tptp.is_fun_pname_bool X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_1) X_1)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_1)) (= X_1 Y_1))))))
% 3.20/3.44  (assume a407 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_1) X_1)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Y_1)) (= X_1 Y_1)))))
% 3.20/3.44  (assume a408 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= X_1 Y_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_1)))))
% 3.20/3.44  (assume a409 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= X_1 Y_1) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Y_1)))))
% 3.20/3.44  (assume a410 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool X_1) (tptp.is_fun_pname_bool Y_1)) (= (= X_1 Y_1) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_1) X_1)))))))
% 3.20/3.44  (assume a411 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= X_1 Y_1) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_1) X_1))))))
% 3.20/3.44  (assume a412 (forall ((A $$unsorted) (A_2 $$unsorted)) (= (= (tptp.some_com A) (tptp.some_com A_2)) (= A A_2))))
% 3.20/3.44  (assume a413 (forall ((G_1 $$unsorted) (P_1 $$unsorted) (C $$unsorted) (Q_1 $$unsorted) (C_1 $$unsorted)) (=> (=> (tptp.hBOOL C_1) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) C) Q_1)) tptp.bot_bo1055319631e_bool)))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state (tptp.hAPP_b1095269219e_bool (tptp.hAPP_f701449317e_bool tptp.cOMBC_471052088e_bool (tptp.hAPP_f873506917e_bool (tptp.cOMBB_1757942702_state tptp.cOMBC_231445413l_bool) (tptp.hAPP_f1283379615l_bool (tptp.cOMBB_1759179140_state (tptp.cOMBB_188601460_state tptp.fconj)) P_1))) C_1)) C) Q_1)) tptp.bot_bo1055319631e_bool))))))
% 3.20/3.44  (assume a414 (forall ((Pn_1 $$unsorted) (G_1 $$unsorted) (P_1 $$unsorted) (Q_1 $$unsorted) (Procs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool G_1) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1296386871_state (tptp.hAPP_f358330902_state tptp.cOMBS_1615712031_state (tptp.hAPP_f2136041130_state (tptp.hAPP_f1777033564_state tptp.cOMBS_1401555724_state (tptp.hAPP_f950918952_state (tptp.cOMBB_2123334001_pname tptp.hoare_1575745797_state) P_1)) tptp.body_1)) Q_1)) Procs))) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1296386871_state (tptp.hAPP_f358330902_state tptp.cOMBS_1615712031_state (tptp.hAPP_f2136041130_state (tptp.hAPP_f1777033564_state tptp.cOMBS_1401555724_state (tptp.hAPP_f950918952_state (tptp.cOMBB_2123334001_pname tptp.hoare_1575745797_state) P_1)) (tptp.hAPP_f96342628me_com (tptp.cOMBB_923936821_pname tptp.the_com) tptp.body))) Q_1)) Procs))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname Pn_1) Procs)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state (tptp.hAPP_p1637813682e_bool P_1 Pn_1)) (tptp.hAPP_pname_com tptp.body_1 Pn_1)) (tptp.hAPP_p1637813682e_bool Q_1 Pn_1))) tptp.bot_bo1055319631e_bool)))))))
% 3.20/3.44  (assume a415 (forall ((A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) tptp.bot_bo844097828e_bool)) (= A tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a416 (forall ((A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A) tptp.bot_bo1055319631e_bool)) (= A tptp.bot_bo1055319631e_bool))))
% 3.20/3.44  (assume a417 (forall ((A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) tptp.bot_bo844097828e_bool)) (= A tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a418 (forall ((A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A) tptp.bot_bo1055319631e_bool)) (= A tptp.bot_bo1055319631e_bool))))
% 3.20/3.44  (assume a419 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool tptp.bot_bo844097828e_bool) A))))
% 3.20/3.44  (assume a420 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool tptp.bot_bo1055319631e_bool) A))))
% 3.20/3.44  (assume a421 (forall ((X_1 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_pname_bool F X_1)) (tptp.hAPP_pname_bool G X_1))))))
% 3.20/3.44  (assume a422 (forall ((X_1 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_H513860823e_bool F X_1)) (tptp.hAPP_H513860823e_bool G X_1))))))
% 3.20/3.44  (assume a423 (forall ((X_1 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_pname_bool F X_1)) (tptp.hAPP_pname_bool G X_1))))))
% 3.20/3.44  (assume a424 (forall ((X_1 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_H513860823e_bool F X_1)) (tptp.hAPP_H513860823e_bool G X_1))))))
% 3.20/3.44  (assume a425 (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool F) G)) (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_pname_bool F X_2)) (tptp.hAPP_pname_bool G X_2))))))))
% 3.20/3.44  (assume a426 (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool F) G)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_H513860823e_bool F X_2)) (tptp.hAPP_H513860823e_bool G X_2)))))))
% 3.20/3.44  (assume a427 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_pname_bool tptp.bot_bo844097828e_bool X_1)) (tptp.hBOOL tptp.bot_bot_bool))))
% 3.20/3.44  (assume a428 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_H513860823e_bool tptp.bot_bo1055319631e_bool X_1)) (tptp.hBOOL tptp.bot_bot_bool))))
% 3.20/3.44  (assume a429 (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_pname_bool tptp.bot_bo844097828e_bool X_2)) (tptp.hBOOL tptp.bot_bot_bool))))
% 3.20/3.44  (assume a430 (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_H513860823e_bool tptp.bot_bo1055319631e_bool X_2)) (tptp.hBOOL tptp.bot_bot_bool))))
% 3.20/3.44  (assume a431 (forall ((P_1 $$unsorted) (Pn_1 $$unsorted) (Q_1 $$unsorted) (G_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) (tptp.hAPP_pname_com tptp.body_1 Pn_1)) Q_1)) G_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) (tptp.hAPP_option_com_com tptp.the_com (tptp.hAPP_p799580910on_com tptp.body Pn_1))) Q_1)) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) (tptp.hAPP_pname_com tptp.body_1 Pn_1)) Q_1)) tptp.bot_bo1055319631e_bool))))))
% 3.20/3.44  (assume a432 (forall ((P_1 $$unsorted) (Q_1 $$unsorted) (G_1 $$unsorted) (P_2 $$unsorted) (C0_1 $$unsorted) (Q_2 $$unsorted) (U_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname U_1)) (=> (forall ((P_3 $$unsorted)) (=> (tptp.is_pname P_3) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state (tptp.hAPP_p1637813682e_bool P_2 P_3)) (tptp.hAPP_pname_com C0_1 P_3)) (tptp.hAPP_p1637813682e_bool Q_2 P_3))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state (tptp.hAPP_p1637813682e_bool P_1 P_3)) (tptp.hAPP_pname_com C0_1 P_3)) (tptp.hAPP_p1637813682e_bool Q_1 P_3))) tptp.bot_bo1055319631e_bool)))))) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1296386871_state (tptp.hAPP_f358330902_state tptp.cOMBS_1615712031_state (tptp.hAPP_f2136041130_state (tptp.hAPP_f1777033564_state tptp.cOMBS_1401555724_state (tptp.hAPP_f950918952_state (tptp.cOMBB_2123334001_pname tptp.hoare_1575745797_state) P_2)) C0_1)) Q_2)) U_1))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1296386871_state (tptp.hAPP_f358330902_state tptp.cOMBS_1615712031_state (tptp.hAPP_f2136041130_state (tptp.hAPP_f1777033564_state tptp.cOMBS_1401555724_state (tptp.hAPP_f950918952_state (tptp.cOMBB_2123334001_pname tptp.hoare_1575745797_state) P_1)) C0_1)) Q_1)) U_1))))))))
% 3.20/3.44  (assume a433 (forall ((G_1 $$unsorted) (C $$unsorted) (Q_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((Z_2 $$unsorted) (S_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P_1 Z_2) S_3)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state (tptp.cOMBK_631994958_state (tptp.hAPP_s1806633685e_bool (tptp.hAPP_f817621513e_bool tptp.cOMBC_2027030106e_bool tptp.fequal_state) S_3))) C) (tptp.cOMBK_631994958_state (tptp.hAPP_s1806633685e_bool Q_1 Z_2)))) tptp.bot_bo1055319631e_bool))))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) C) Q_1)) tptp.bot_bo1055319631e_bool))))))
% 3.20/3.44  (assume a434 (forall ((G_1 $$unsorted) (P_1 $$unsorted) (Q_1 $$unsorted) (Procs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_1065416081_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool G_1) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1296386871_state (tptp.hAPP_f358330902_state tptp.cOMBS_1615712031_state (tptp.hAPP_f2136041130_state (tptp.hAPP_f1777033564_state tptp.cOMBS_1401555724_state (tptp.hAPP_f950918952_state (tptp.cOMBB_2123334001_pname tptp.hoare_1575745797_state) P_1)) tptp.body_1)) Q_1)) Procs))) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1296386871_state (tptp.hAPP_f358330902_state tptp.cOMBS_1615712031_state (tptp.hAPP_f2136041130_state (tptp.hAPP_f1777033564_state tptp.cOMBS_1401555724_state (tptp.hAPP_f950918952_state (tptp.cOMBB_2123334001_pname tptp.hoare_1575745797_state) P_1)) (tptp.hAPP_f96342628me_com (tptp.cOMBB_923936821_pname tptp.the_com) tptp.body))) Q_1)) Procs))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_1065416081_state G_1) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1296386871_state (tptp.hAPP_f358330902_state tptp.cOMBS_1615712031_state (tptp.hAPP_f2136041130_state (tptp.hAPP_f1777033564_state tptp.cOMBS_1401555724_state (tptp.hAPP_f950918952_state (tptp.cOMBB_2123334001_pname tptp.hoare_1575745797_state) P_1)) tptp.body_1)) Q_1)) Procs))))))
% 3.20/3.44  (assume a435 (forall ((P_1 $$unsorted) (G_1 $$unsorted) (P_2 $$unsorted) (C $$unsorted) (Q_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_2) C) Q_1)) tptp.bot_bo1055319631e_bool))) (=> (forall ((Z_2 $$unsorted) (S_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P_1 Z_2) S_3)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P_2 Z_2) S_3)))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) C) Q_1)) tptp.bot_bo1055319631e_bool)))))))
% 3.20/3.44  (assume a436 (forall ((Q_1 $$unsorted) (G_1 $$unsorted) (P_1 $$unsorted) (C $$unsorted) (Q_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) C) Q_2)) tptp.bot_bo1055319631e_bool))) (=> (forall ((Z_2 $$unsorted) (S_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool Q_2 Z_2) S_3)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool Q_1 Z_2) S_3)))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) C) Q_1)) tptp.bot_bo1055319631e_bool)))))))
% 3.20/3.44  (assume a437 (forall ((P_1 $$unsorted) (Q_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_1065416081_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) C) Q_1)) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) C) Q_1)) tptp.bot_bo1055319631e_bool)))))))
% 3.20/3.44  (assume a438 (forall ((A_1 $$unsorted) (B $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B) X_1)) (=> (not (tptp.hBOOL (tptp.hAPP_H513860823e_bool A_1 X_1))) (tptp.hBOOL (tptp.hAPP_H513860823e_bool B X_1))))))
% 3.20/3.44  (assume a439 (forall ((A_1 $$unsorted) (B $$unsorted) (X_1 $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_H513860823e_bool B X_1))) (tptp.hBOOL (tptp.hAPP_H513860823e_bool A_1 X_1))) (tptp.hBOOL (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B) X_1)))))
% 3.20/3.44  (assume a440 (forall ((G_1 $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_1065416081_state G_1) Ts)))))
% 3.20/3.44  (assume a441 (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_pname_bool tptp.bot_bo844097828e_bool X_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a442 (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_H513860823e_bool tptp.bot_bo1055319631e_bool X_2)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) tptp.bot_bo1055319631e_bool)))))
% 3.20/3.44  (assume a443 (forall ((Q_1 $$unsorted) (P_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool P_1) Q_1)) (tptp.hBOOL (tptp.hAPP_pname_bool Q_1 X_1))))))
% 3.20/3.44  (assume a444 (forall ((Q_1 $$unsorted) (P_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool P_1) Q_1)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool Q_1 X_1))))))
% 3.20/3.44  (assume a445 (forall ((X_1 $$unsorted) (P_1 $$unsorted) (Q_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool P_1) Q_1)) (=> (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_pname_bool Q_1 X_1))))))
% 3.20/3.44  (assume a446 (forall ((X_1 $$unsorted) (P_1 $$unsorted) (Q_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool P_1) Q_1)) (=> (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool Q_1 X_1))))))
% 3.20/3.44  (assume a447 (forall ((A_1 $$unsorted) (B $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_H513860823e_bool B X_1)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B) X_1)))))
% 3.20/3.44  (assume a448 (forall ((B $$unsorted) (A_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_H513860823e_bool A_1 X_1)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B) X_1)))))
% 3.20/3.44  (assume a449 (forall ((R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) R_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) S))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool R_1) S)))))
% 3.20/3.44  (assume a450 (forall ((R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) R_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) S))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool R_1) S)))))
% 3.20/3.44  (assume a451 (forall ((R_1 $$unsorted) (S $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) R_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) S)) X_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool R_1) S))))))
% 3.20/3.44  (assume a452 (forall ((R_1 $$unsorted) (S $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) R_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) S)) X_2)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool R_1) S))))))
% 3.20/3.44  (assume a453 (forall ((Q_1 $$unsorted) (P_1 $$unsorted) (G_1 $$unsorted) (P_2 $$unsorted) (C $$unsorted) (Q_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_2) C) Q_2)) tptp.bot_bo1055319631e_bool))) (=> (forall ((Z_2 $$unsorted) (S_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P_1 Z_2) S_3)) (forall ((S_4 $$unsorted)) (=> (forall ((Z_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P_2 Z_3) S_3)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool Q_2 Z_3) S_4)))) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool Q_1 Z_2) S_4)))))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) C) Q_1)) tptp.bot_bo1055319631e_bool)))))))
% 3.20/3.44  (assume a454 (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_pname_bool F X_2)) (tptp.hAPP_pname_bool G X_2))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool F) G)))))
% 3.20/3.44  (assume a455 (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_H513860823e_bool F X_2)) (tptp.hAPP_H513860823e_bool G X_2)))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool F) G)))))
% 3.20/3.44  (assume a456 (forall ((X_1 $$unsorted)) (= (tptp.set_pname (tptp.some_pname X_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))))
% 3.20/3.44  (assume a457 (forall ((X_1 $$unsorted)) (= (tptp.set_Ho1831989999_state (tptp.some_H1133819688_state X_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) tptp.bot_bo1055319631e_bool))))
% 3.20/3.44  (assume a458 (forall ((X_1 $$unsorted)) (= (tptp.set_com (tptp.some_com X_1)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool))))
% 3.20/3.44  (assume a459 (forall ((X_1 $$unsorted) (Xo $$unsorted)) (=> (tptp.is_option_pname Xo) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) (tptp.set_pname Xo))) (= Xo (tptp.some_pname X_1))))))
% 3.20/3.44  (assume a460 (forall ((X_1 $$unsorted) (Xo $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) (tptp.set_Ho1831989999_state Xo))) (= Xo (tptp.some_H1133819688_state X_1)))))
% 3.20/3.44  (assume a461 (forall ((X_1 $$unsorted) (Xo $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) (tptp.set_com Xo))) (= Xo (tptp.some_com X_1)))))
% 3.20/3.44  (assume a462 (forall ((X_1 $$unsorted) (P_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) (tptp.set_com A_1))) (tptp.hBOOL (tptp.hAPP_com_bool P_1 X_2)))) (=> (= A_1 (tptp.some_com X_1)) (tptp.hBOOL (tptp.hAPP_com_bool P_1 X_1))))))
% 3.20/3.44  (assume a463 (forall ((F $$unsorted) (G $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool F) G) X_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_H513860823e_bool F X_2)) (tptp.hAPP_H513860823e_bool G X_2))))))
% 3.20/3.44  (assume a464 (forall ((F $$unsorted) (G $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool F) G) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_H513860823e_bool F X_1)) (tptp.hAPP_H513860823e_bool G X_1))))))
% 3.20/3.44  (assume a465 (=> (tptp.hBOOL tptp.hoare_298929751gleton) (forall ((T_2 $$unsorted)) (not (forall ((S_3 $$unsorted)) (= S_3 T_2))))))
% 3.20/3.44  (assume a466 (= (tptp.hBOOL tptp.hoare_298929751gleton) (exists ((S_3 $$unsorted) (T_2 $$unsorted)) (not (= S_3 T_2)))))
% 3.20/3.44  (assume a467 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)) Z) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) Z)))))
% 3.20/3.44  (assume a468 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)) Z) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) Z)))))
% 3.20/3.44  (assume a469 (forall ((A $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) B_1)) C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B_1) C)))))
% 3.20/3.44  (assume a470 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) Z)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Z)))))
% 3.20/3.44  (assume a471 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) Z)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Z)))))
% 3.20/3.44  (assume a472 (forall ((B_1 $$unsorted) (A $$unsorted) (C $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) C)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B_1) C)))))
% 3.20/3.44  (assume a473 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1))))
% 3.20/3.44  (assume a474 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1))))
% 3.20/3.44  (assume a475 (forall ((A $$unsorted) (B_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) B_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) B_1))))
% 3.20/3.44  (assume a476 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) X_1))))
% 3.20/3.44  (assume a477 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) X_1))))
% 3.20/3.44  (assume a478 (forall ((A $$unsorted) (B_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) B_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B_1) A))))
% 3.20/3.44  (assume a479 (forall ((X_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) X_1) X_1)))
% 3.20/3.44  (assume a480 (forall ((A $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) A) A)))
% 3.20/3.44  (assume a481 (forall ((A $$unsorted) (B_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B_1)) X_1)) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) X_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) X_1))))))))
% 3.20/3.44  (assume a482 (forall ((A $$unsorted) (B_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) B_1)) X_1)) (not (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A) X_1)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B_1) X_1))))))))
% 3.20/3.44  (assume a483 (forall ((B_1 $$unsorted) (D $$unsorted) (A $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) C)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) D)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool C) D)))))))
% 3.20/3.44  (assume a484 (forall ((B_1 $$unsorted) (D $$unsorted) (A $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A) C)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B_1) D)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) B_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool C) D)))))))
% 3.20/3.44  (assume a485 (forall ((Z $$unsorted) (Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_1) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Z) X_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_1) Z)) X_1))))))
% 3.20/3.44  (assume a486 (forall ((Z $$unsorted) (Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_1) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Z) X_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) Z)) X_1))))))
% 3.20/3.44  (assume a487 (forall ((B_1 $$unsorted) (A $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B_1)) X_1))))))
% 3.20/3.44  (assume a488 (forall ((B_1 $$unsorted) (A $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) B_1)) X_1))))))
% 3.20/3.44  (assume a489 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.is_fun_pname_bool X_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_1) X_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_1) X_1)))))
% 3.20/3.44  (assume a490 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_1) X_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1) X_1))))
% 3.20/3.44  (assume a491 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.is_fun_pname_bool Y_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_1) Y_1)))))
% 3.20/3.44  (assume a492 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Y_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1) Y_1))))
% 3.20/3.44  (assume a493 (forall ((A $$unsorted) (X_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B_1))))))
% 3.20/3.44  (assume a494 (forall ((A $$unsorted) (X_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) B_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) B_1))))))
% 3.20/3.44  (assume a495 (forall ((B_1 $$unsorted) (X_1 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B_1))))))
% 3.20/3.44  (assume a496 (forall ((B_1 $$unsorted) (X_1 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A) B_1))))))
% 3.20/3.44  (assume a497 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_1)) Z)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Z)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_1) Z))))))
% 3.20/3.44  (assume a498 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)) Z)) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Z)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_1) Z))))))
% 3.20/3.44  (assume a499 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.is_fun_pname_bool Y_1) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_1) Y_1)))))
% 3.20/3.44  (assume a500 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Y_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1) Y_1))))
% 3.20/3.44  (assume a501 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_1)))))
% 3.20/3.44  (assume a502 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)))))
% 3.20/3.44  (assume a503 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_1)))))
% 3.20/3.44  (assume a504 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)))))
% 3.20/3.44  (assume a505 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_1)))))
% 3.20/3.44  (assume a506 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)))))
% 3.20/3.44  (assume a507 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_1)))))
% 3.20/3.44  (assume a508 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)))))
% 3.20/3.44  (assume a509 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool X_1) (tptp.is_fun_pname_bool Y_1)) (= (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_1) tptp.bot_bo844097828e_bool) (and (= X_1 tptp.bot_bo844097828e_bool) (= Y_1 tptp.bot_bo844097828e_bool))))))
% 3.20/3.44  (assume a510 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1) tptp.bot_bo1055319631e_bool) (and (= X_1 tptp.bot_bo1055319631e_bool) (= Y_1 tptp.bot_bo1055319631e_bool)))))
% 3.20/3.44  (assume a511 (forall ((X_1 $$unsorted)) (=> (tptp.is_fun_pname_bool X_1) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) tptp.bot_bo844097828e_bool) X_1))))
% 3.20/3.44  (assume a512 (forall ((X_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) tptp.bot_bo1055319631e_bool) X_1)))
% 3.20/3.44  (assume a513 (forall ((X_1 $$unsorted)) (=> (tptp.is_fun_pname_bool X_1) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool tptp.bot_bo844097828e_bool) X_1) X_1))))
% 3.20/3.44  (assume a514 (forall ((X_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool tptp.bot_bo1055319631e_bool) X_1) X_1)))
% 3.20/3.44  (assume a515 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (and (tptp.is_fun1661590463l_bool B) (tptp.is_fun1661590463l_bool A_1)) (=> (tptp.hBOOL (tptp.finite1268145088e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (not (= A_1 tptp.bot_bo1649642514l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (not (= B tptp.bot_bo1649642514l_bool)) (= (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool A_1) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F (tptp.hAPP_f674760225e_bool Fa A_1)) (tptp.hAPP_f674760225e_bool Fa B)))))))))))
% 3.20/3.44  (assume a516 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite959343283e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (=> (not (= A_1 tptp.bot_bo1325454745l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool B)) (=> (not (= B tptp.bot_bo1325454745l_bool)) (= (tptp.hAPP_f772567431e_bool Fa (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila2055205435l_bool A_1) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F (tptp.hAPP_f772567431e_bool Fa A_1)) (tptp.hAPP_f772567431e_bool Fa B))))))))))
% 3.20/3.44  (assume a517 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (and (tptp.is_fun_pname_bool B) (tptp.is_fun_pname_bool A_1)) (=> (tptp.hBOOL (tptp.finite89670078_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (not (= A_1 tptp.bot_bo844097828e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (not (= B tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F (tptp.hAPP_f1297739591_pname Fa A_1)) (tptp.hAPP_f1297739591_pname Fa B)))))))))))
% 3.20/3.44  (assume a518 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite506823037_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (=> (not (= A_1 tptp.bot_bo1055319631e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state B)) (=> (not (= B tptp.bot_bo1055319631e_bool)) (= (tptp.hAPP_f2143211163_state Fa (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B)) (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F (tptp.hAPP_f2143211163_state Fa A_1)) (tptp.hAPP_f2143211163_state Fa B))))))))))
% 3.20/3.44  (assume a519 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun1661590463l_bool B) (=> (tptp.hBOOL (tptp.finite1268145088e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (not (= B tptp.bot_bo1649642514l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) A_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F (tptp.hAPP_f674760225e_bool Fa B)) (tptp.hAPP_f674760225e_bool Fa A_1)) (tptp.hAPP_f674760225e_bool Fa A_1)))))))))
% 3.20/3.44  (assume a520 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite959343283e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (=> (not (= B tptp.bot_bo1325454745l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool B) A_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F (tptp.hAPP_f772567431e_bool Fa B)) (tptp.hAPP_f772567431e_bool Fa A_1)) (tptp.hAPP_f772567431e_bool Fa A_1))))))))
% 3.20/3.44  (assume a521 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun_pname_bool B) (=> (tptp.hBOOL (tptp.finite89670078_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (not (= B tptp.bot_bo844097828e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A_1)) (= (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F (tptp.hAPP_f1297739591_pname Fa B)) (tptp.hAPP_f1297739591_pname Fa A_1)) (tptp.hAPP_f1297739591_pname Fa A_1)))))))))
% 3.20/3.44  (assume a522 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite506823037_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (=> (not (= B tptp.bot_bo1055319631e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) A_1)) (= (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F (tptp.hAPP_f2143211163_state Fa B)) (tptp.hAPP_f2143211163_state Fa A_1)) (tptp.hAPP_f2143211163_state Fa A_1))))))))
% 3.20/3.44  (assume a523 (forall ((G_1 $$unsorted) (P_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) tptp.skip) P_1)) tptp.bot_bo1055319631e_bool)))))
% 3.20/3.44  (assume a524 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (tptp.hBOOL (tptp.finite89670078_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (not (= A_1 tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A_1)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) (tptp.hAPP_f1297739591_pname Fa A_1)))))))))
% 3.20/3.44  (assume a525 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite506823037_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (=> (not (= A_1 tptp.bot_bo1055319631e_bool)) (= (tptp.hAPP_f2143211163_state Fa (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) A_1)) (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F X_1) (tptp.hAPP_f2143211163_state Fa A_1))))))))
% 3.20/3.44  (assume a526 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun1661590463l_bool A_1) (=> (tptp.hBOOL (tptp.finite1268145088e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (not (= A_1 tptp.bot_bo1649642514l_bool)) (= (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) A_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F X_1) (tptp.hAPP_f674760225e_bool Fa A_1)))))))))
% 3.20/3.44  (assume a527 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite959343283e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (=> (not (= A_1 tptp.bot_bo1325454745l_bool)) (= (tptp.hAPP_f772567431e_bool Fa (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_1) A_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F X_1) (tptp.hAPP_f772567431e_bool Fa A_1))))))))
% 3.20/3.44  (assume a528 (forall ((P_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun_pname_bool Fa) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (=> (not (= Fa tptp.bot_bo844097828e_bool)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) tptp.bot_bo844097828e_bool))))) (=> (forall ((X_2 $$unsorted) (F_1 $$unsorted)) (=> (and (tptp.is_pname X_2) (tptp.is_fun_pname_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (=> (not (= F_1 tptp.bot_bo844097828e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) F_1))))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 Fa)))))))))
% 3.20/3.44  (assume a529 (forall ((P_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state Fa)) (=> (not (= Fa tptp.bot_bo1055319631e_bool)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_2) tptp.bot_bo1055319631e_bool)))) (=> (forall ((X_2 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state F_1)) (=> (not (= F_1 tptp.bot_bo1055319631e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_2) F_1)))))))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 Fa))))))))
% 3.20/3.44  (assume a530 (forall ((P_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun1661590463l_bool Fa) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (=> (not (= Fa tptp.bot_bo1649642514l_bool)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun_pname_bool X_2) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_2) tptp.bot_bo1649642514l_bool))))) (=> (forall ((X_2 $$unsorted) (F_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool X_2) (tptp.is_fun1661590463l_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_1)) (=> (not (= F_1 tptp.bot_bo1649642514l_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_2) F_1))))))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 Fa)))))))))
% 3.20/3.44  (assume a531 (forall ((P_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool Fa)) (=> (not (= Fa tptp.bot_bo1325454745l_bool)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool P_1 (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_2) tptp.bot_bo1325454745l_bool)))) (=> (forall ((X_2 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool F_1)) (=> (not (= F_1 tptp.bot_bo1325454745l_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool X_2) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool P_1 (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_2) F_1)))))))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool P_1 Fa))))))))
% 3.20/3.44  (assume a532 (forall ((Pname $$unsorted)) (not (= (tptp.hAPP_pname_com tptp.body_1 Pname) tptp.skip))))
% 3.20/3.44  (assume a533 (forall ((Pname $$unsorted)) (not (= tptp.skip (tptp.hAPP_pname_com tptp.body_1 Pname)))))
% 3.20/3.44  (assume a534 (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.skip)))
% 3.20/3.44  (assume a535 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite89670078_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (= (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) (tptp.hAPP_f1297739591_pname Fa A_1)) (tptp.hAPP_f1297739591_pname Fa A_1)))))))
% 3.20/3.44  (assume a536 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite506823037_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (= (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F X_1) (tptp.hAPP_f2143211163_state Fa A_1)) (tptp.hAPP_f2143211163_state Fa A_1)))))))
% 3.20/3.44  (assume a537 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite1268145088e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F X_1) (tptp.hAPP_f674760225e_bool Fa A_1)) (tptp.hAPP_f674760225e_bool Fa A_1)))))))
% 3.20/3.44  (assume a538 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite959343283e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool X_1) A_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F X_1) (tptp.hAPP_f772567431e_bool Fa A_1)) (tptp.hAPP_f772567431e_bool Fa A_1)))))))
% 3.20/3.44  (assume a539 (forall ((N $$unsorted) (H $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun1661590463l_bool N) (=> (tptp.hBOOL (tptp.finite1268145088e_bool F Fa)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun_pname_bool X_2) (tptp.is_fun_pname_bool Y_2)) (= (tptp.hAPP_f759274231e_bool H (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F X_2) Y_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F (tptp.hAPP_f759274231e_bool H X_2)) (tptp.hAPP_f759274231e_bool H Y_2))))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool N)) (=> (not (= N tptp.bot_bo1649642514l_bool)) (= (tptp.hAPP_f759274231e_bool H (tptp.hAPP_f674760225e_bool Fa N)) (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.image_2063528359e_bool H) N))))))))))
% 3.20/3.44  (assume a540 (forall ((N $$unsorted) (H $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite959343283e_bool F Fa)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hAPP_f921536533e_bool H (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F X_2) Y_2)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F (tptp.hAPP_f921536533e_bool H X_2)) (tptp.hAPP_f921536533e_bool H Y_2)))) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool N)) (=> (not (= N tptp.bot_bo1325454745l_bool)) (= (tptp.hAPP_f921536533e_bool H (tptp.hAPP_f772567431e_bool Fa N)) (tptp.hAPP_f772567431e_bool Fa (tptp.hAPP_f1970439265l_bool (tptp.image_505022149e_bool H) N)))))))))
% 3.20/3.44  (assume a541 (forall ((N $$unsorted) (H $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun_pname_bool N) (=> (tptp.hBOOL (tptp.finite89670078_pname F Fa)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_pname X_2) (tptp.is_pname Y_2)) (= (tptp.hAPP_pname_pname H (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_2) Y_2)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F (tptp.hAPP_pname_pname H X_2)) (tptp.hAPP_pname_pname H Y_2))))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname N)) (=> (not (= N tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_pname_pname H (tptp.hAPP_f1297739591_pname Fa N)) (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname H) N))))))))))
% 3.20/3.44  (assume a542 (forall ((N $$unsorted) (H $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite506823037_state F Fa)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hAPP_H563960305_state H (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F X_2) Y_2)) (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F (tptp.hAPP_H563960305_state H X_2)) (tptp.hAPP_H563960305_state H Y_2)))) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state N)) (=> (not (= N tptp.bot_bo1055319631e_bool)) (= (tptp.hAPP_H563960305_state H (tptp.hAPP_f2143211163_state Fa N)) (tptp.hAPP_f2143211163_state Fa (tptp.hAPP_f921536533e_bool (tptp.image_650584225_state H) N)))))))))
% 3.20/3.44  (assume a543 (forall ((G_1 $$unsorted) (P_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state (tptp.hAPP_f1863945078e_bool (tptp.hAPP_f915354021e_bool tptp.cOMBC_952831051e_bool (tptp.hAPP_f1138284024e_bool (tptp.cOMBB_20296667_state tptp.cOMBS_1378840469l_bool) (tptp.hAPP_f1283379615l_bool (tptp.cOMBB_1759179140_state (tptp.cOMBB_188601460_state tptp.fconj)) P_1))) (tptp.hAPP_f1759915619e_bool (tptp.cOMBB_160679318_state tptp.fNot) B_1))) (tptp.while B_1 C)) P_1)) tptp.bot_bo1055319631e_bool)))))
% 3.20/3.44  (assume a544 (forall ((D $$unsorted) (R_1 $$unsorted) (G_1 $$unsorted) (P_1 $$unsorted) (C $$unsorted) (Q_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) C) Q_1)) tptp.bot_bo1055319631e_bool))) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state Q_1) D) R_1)) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state P_1) (tptp.semi C D)) R_1)) tptp.bot_bo1055319631e_bool)))))))
% 3.20/3.44  (assume a545 (forall ((X_3 $$unsorted)) (= (tptp.hAPP_f1297739591_pname tptp.the_elem_pname X_3) (tptp.hAPP_f1297739591_pname tptp.the_pname (tptp.hAPP_f42430548e_bool (tptp.cOMBB_530759491_pname (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool X_3)) (tptp.hAPP_f180827860e_bool (tptp.hAPP_f698292281e_bool tptp.cOMBC_1123258281e_bool tptp.insert_pname) tptp.bot_bo844097828e_bool))))))
% 3.20/3.44  (assume a546 (forall ((X_3 $$unsorted)) (= (tptp.hAPP_f2143211163_state tptp.the_el23965208_state X_3) (tptp.hAPP_f2143211163_state tptp.the_Ho10452358_state (tptp.hAPP_f1456107715e_bool (tptp.cOMBB_1653402815_state (tptp.hAPP_f854625363l_bool tptp.fequal1746921144e_bool X_3)) (tptp.hAPP_f762269719e_bool (tptp.hAPP_f964290431e_bool tptp.cOMBC_488258100e_bool tptp.insert1835143293_state) tptp.bot_bo1055319631e_bool))))))
% 3.20/3.44  (assume a547 (forall ((B_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt (tptp.while B_1 C))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)))))
% 3.20/3.44  (assume a548 (forall ((C1 $$unsorted) (C2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt (tptp.semi C1 C2))) (not (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C1)) (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C2))))))))
% 3.20/3.44  (assume a549 (forall ((Com1_3 $$unsorted) (Com2_3 $$unsorted) (Fun $$unsorted) (Com_1 $$unsorted)) (not (= (tptp.semi Com1_3 Com2_3) (tptp.while Fun Com_1)))))
% 3.20/3.44  (assume a550 (forall ((Fun $$unsorted) (Com_1 $$unsorted) (Com1_3 $$unsorted) (Com2_3 $$unsorted)) (not (= (tptp.while Fun Com_1) (tptp.semi Com1_3 Com2_3)))))
% 3.20/3.44  (assume a551 (forall ((Com1_3 $$unsorted) (Com2_3 $$unsorted) (Com1_2 $$unsorted) (Com2_2 $$unsorted)) (= (= (tptp.semi Com1_3 Com2_3) (tptp.semi Com1_2 Com2_2)) (and (= Com1_3 Com1_2) (= Com2_3 Com2_2)))))
% 3.20/3.44  (assume a552 (forall ((Fun_1 $$unsorted) (Com_2 $$unsorted) (Fun $$unsorted) (Com_1 $$unsorted)) (= (= (tptp.while Fun_1 Com_2) (tptp.while Fun Com_1)) (and (= Fun_1 Fun) (= Com_2 Com_1)))))
% 3.20/3.44  (assume a553 (forall ((Pname_1 $$unsorted) (Fun_1 $$unsorted) (Com_2 $$unsorted)) (not (= (tptp.hAPP_pname_com tptp.body_1 Pname_1) (tptp.while Fun_1 Com_2)))))
% 3.20/3.44  (assume a554 (forall ((Fun_1 $$unsorted) (Com_2 $$unsorted) (Pname_1 $$unsorted)) (not (= (tptp.while Fun_1 Com_2) (tptp.hAPP_pname_com tptp.body_1 Pname_1)))))
% 3.20/3.44  (assume a555 (forall ((B_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt (tptp.while B_1 C))))))
% 3.20/3.44  (assume a556 (forall ((Fun $$unsorted) (Com_1 $$unsorted)) (not (= tptp.skip (tptp.while Fun Com_1)))))
% 3.20/3.44  (assume a557 (forall ((Fun $$unsorted) (Com_1 $$unsorted)) (not (= (tptp.while Fun Com_1) tptp.skip))))
% 3.20/3.44  (assume a558 (forall ((Pname $$unsorted) (Com1_1 $$unsorted) (Com2_1 $$unsorted)) (not (= (tptp.hAPP_pname_com tptp.body_1 Pname) (tptp.semi Com1_1 Com2_1)))))
% 3.20/3.44  (assume a559 (forall ((Com1_1 $$unsorted) (Com2_1 $$unsorted) (Pname $$unsorted)) (not (= (tptp.semi Com1_1 Com2_1) (tptp.hAPP_pname_com tptp.body_1 Pname)))))
% 3.20/3.44  (assume a560 (forall ((C1 $$unsorted) (C0 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C0)) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C1)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt (tptp.semi C0 C1)))))))
% 3.20/3.44  (assume a561 (forall ((Com1 $$unsorted) (Com2 $$unsorted)) (not (= tptp.skip (tptp.semi Com1 Com2)))))
% 3.20/3.44  (assume a562 (forall ((Com1 $$unsorted) (Com2 $$unsorted)) (not (= (tptp.semi Com1 Com2) tptp.skip))))
% 3.20/3.44  (assume a563 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (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_1) A_1))) (=> (not (= A_1 tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A_1)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) (tptp.hAPP_f1297739591_pname Fa A_1))))))))))
% 3.20/3.44  (assume a564 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite774711482_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1))) (=> (not (= A_1 tptp.bot_bo1055319631e_bool)) (= (tptp.hAPP_f2143211163_state Fa (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) A_1)) (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F X_1) (tptp.hAPP_f2143211163_state Fa A_1)))))))))
% 3.20/3.44  (assume a565 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun1661590463l_bool A_1) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (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_1) A_1))) (=> (not (= A_1 tptp.bot_bo1649642514l_bool)) (= (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) A_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F X_1) (tptp.hAPP_f674760225e_bool Fa A_1))))))))))
% 3.20/3.44  (assume a566 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite132673334e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool X_1) A_1))) (=> (not (= A_1 tptp.bot_bo1325454745l_bool)) (= (tptp.hAPP_f772567431e_bool Fa (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_1) A_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F X_1) (tptp.hAPP_f772567431e_bool Fa A_1)))))))))
% 3.20/3.44  (assume a567 (forall ((X_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_pname X_1) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (= (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) X_1)))))
% 3.20/3.44  (assume a568 (forall ((X_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite774711482_state F Fa)) (= (tptp.hAPP_f2143211163_state Fa (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) tptp.bot_bo1055319631e_bool)) X_1))))
% 3.20/3.44  (assume a569 (forall ((A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (not (= A_1 tptp.bot_bo844097828e_bool)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_pname X_2) (tptp.is_pname Y_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_2) Y_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname Y_2) tptp.bot_bo844097828e_bool)))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_f1297739591_pname Fa A_1)) A_1)))))))))
% 3.20/3.44  (assume a570 (forall ((A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite774711482_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (=> (not (= A_1 tptp.bot_bo1055319631e_bool)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F X_2) Y_2)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_2) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state Y_2) tptp.bot_bo1055319631e_bool))))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state (tptp.hAPP_f2143211163_state Fa A_1)) A_1))))))))
% 3.20/3.44  (assume a571 (forall ((A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun1661590463l_bool A_1) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (not (= A_1 tptp.bot_bo1649642514l_bool)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun_pname_bool X_2) (tptp.is_fun_pname_bool Y_2)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F X_2) Y_2)) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_2) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool Y_2) tptp.bot_bo1649642514l_bool)))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool (tptp.hAPP_f674760225e_bool Fa A_1)) A_1)))))))))
% 3.20/3.44  (assume a572 (forall ((A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite132673334e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (=> (not (= A_1 tptp.bot_bo1325454745l_bool)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F X_2) Y_2)) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_2) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool Y_2) tptp.bot_bo1325454745l_bool))))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool (tptp.hAPP_f772567431e_bool Fa A_1)) A_1))))))))
% 3.20/3.44  (assume a573 (forall ((Y_1 $$unsorted)) (not (forall ((Fun1 $$unsorted) (Com $$unsorted) (Fun2 $$unsorted)) (not (= Y_1 (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state Fun1) Com) Fun2)))))))
% 3.20/3.44  (assume a574 (forall ((F $$unsorted) (G $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (= M N) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) N)) (= (tptp.hAPP_p1842370726_state F X_2) (tptp.hAPP_p1842370726_state G X_2))))) (= (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) M) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state G) N))))))
% 3.20/3.44  (assume a575 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool Q_1 X_2)))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool tptp.collec727977250_state P_1)) (tptp.hAPP_f921536533e_bool tptp.collec727977250_state Q_1))))))
% 3.20/3.44  (assume a576 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (=> (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_pname_bool Q_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1)) (tptp.hAPP_f759274231e_bool tptp.collect_pname Q_1))))))
% 3.20/3.44  (assume a577 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun_pname_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Q_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1)) (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool Q_1))))))
% 3.20/3.44  (assume a578 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool Q_1 X_2)))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool P_1)) (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool Q_1))))))
% 3.20/3.44  (assume a579 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (=> (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_pname_bool Q_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool P_1) Q_1)))))
% 3.20/3.44  (assume a580 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool Q_1 X_2)))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool P_1) Q_1)))))
% 3.20/3.44  (assume a581 (forall ((A $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) A_1)) (exists ((B_2 $$unsorted)) (and (tptp.is_fun_pname_bool B_2) (= A_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B_2)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) B_2)))))))))
% 3.20/3.44  (assume a582 (forall ((A $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) A_1)) (exists ((B_2 $$unsorted)) (and (= A_1 (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B_2)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) B_2))))))))
% 3.20/3.44  (assume a583 (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (not (forall ((B_2 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2) (=> (= A_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) B_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B_2))))))))))
% 3.20/3.44  (assume a584 (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (not (forall ((B_2 $$unsorted)) (=> (= A_1 (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) B_2)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) B_2))))))))
% 3.20/3.44  (assume a585 (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (forall ((Y_2 $$unsorted)) (=> (tptp.is_pname Y_2) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname Y_2) A_1))))) (= A_1 tptp.bot_bo844097828e_bool)))))
% 3.20/3.44  (assume a586 (forall ((A_1 $$unsorted)) (=> (forall ((Y_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state Y_2) A_1)))) (= A_1 tptp.bot_bo1055319631e_bool))))
% 3.20/3.44  (assume a587 (forall ((G_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL tptp.hoare_298929751gleton) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state (tptp.hAPP_f1935169308e_bool (tptp.cOMBB_1036740637_state (tptp.cOMBB_1911358915_state tptp.fAll_state)) (tptp.hAPP_f249262236e_bool (tptp.cOMBB_1476898461_state (tptp.hAPP_f915354021e_bool tptp.cOMBC_952831051e_bool (tptp.hAPP_f1138284024e_bool (tptp.cOMBB_20296667_state tptp.cOMBS_1378840469l_bool) (tptp.hAPP_f1283379615l_bool (tptp.cOMBB_1759179140_state (tptp.cOMBB_188601460_state tptp.fimplies)) (tptp.evalc C))))) tptp.fequal_state))) C) tptp.fequal_state)) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool)))))))
% 3.20/3.44  (assume a588 (forall ((G_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state (tptp.hAPP_f1935169308e_bool (tptp.cOMBB_1036740637_state (tptp.cOMBB_1911358915_state tptp.fAll_state)) (tptp.hAPP_f249262236e_bool (tptp.cOMBB_1476898461_state (tptp.hAPP_f915354021e_bool tptp.cOMBC_952831051e_bool (tptp.hAPP_f1138284024e_bool (tptp.cOMBB_20296667_state tptp.cOMBS_1378840469l_bool) (tptp.hAPP_f1283379615l_bool (tptp.cOMBB_1759179140_state (tptp.cOMBB_188601460_state tptp.fimplies)) (tptp.evalc C))))) tptp.fequal_state))) C) tptp.fequal_state)) tptp.bot_bo1055319631e_bool))))))
% 3.20/3.44  (assume a589 (forall ((C $$unsorted)) (= (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C) (tptp.hAPP_f588507005_state (tptp.hAPP_c408625258_state (tptp.hAPP_f1949912908_state tptp.hoare_1575745797_state tptp.fequal_state) C) (tptp.evalc C)))))
% 3.20/3.44  (assume a590 (forall ((Pn $$unsorted) (S0 $$unsorted) (S1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_option_com_com tptp.the_com (tptp.hAPP_p799580910on_com tptp.body Pn))) S0) S1_1)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_pname_com tptp.body_1 Pn)) S0) S1_1)))))
% 3.20/3.44  (assume a591 (forall ((P $$unsorted) (S_2 $$unsorted) (S1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_pname_com tptp.body_1 P)) S_2) S1_1)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_option_com_com tptp.the_com (tptp.hAPP_p799580910on_com tptp.body P))) S_2) S1_1)))))
% 3.20/3.44  (assume a592 (forall ((S_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc tptp.skip) S_2) T_1)) (= T_1 S_2))))
% 3.20/3.44  (assume a593 (forall ((C $$unsorted) (B_1 $$unsorted) (S_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_state_bool B_1 S_1))) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.while B_1 C)) S_1) S_1)))))
% 3.20/3.44  (assume a594 (forall ((S2_1 $$unsorted) (C $$unsorted) (S1_2 $$unsorted) (B_1 $$unsorted) (S0_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool B_1 S0_1)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C) S0_1) S1_2)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.while B_1 C)) S1_2) S2_1)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.while B_1 C)) S0_1) S2_1)))))))
% 3.20/3.44  (assume a595 (forall ((C1 $$unsorted) (S2 $$unsorted) (C0 $$unsorted) (S0 $$unsorted) (S1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C0) S0) S1_1)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C1) S1_1) S2)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.semi C0 C1)) S0) S2))))))
% 3.20/3.44  (assume a596 (forall ((S_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc tptp.skip) S_2) S_2))))
% 3.20/3.44  (assume a597 (forall ((U $$unsorted) (C_2 $$unsorted) (S_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C_2) S_2) T_1)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C_2) S_2) U)) (= U T_1)))))
% 3.20/3.44  (assume a598 (forall ((C1 $$unsorted) (C2 $$unsorted) (S_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.semi C1 C2)) S_2) T_1)) (not (forall ((S1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C1) S_2) S1)) (not (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C2) S1) T_1)))))))))
% 3.20/3.44  (assume a599 (forall ((B_1 $$unsorted) (C $$unsorted) (S_1 $$unsorted) (T $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.while B_1 C)) S_1) T)) (=> (=> (= T S_1) (tptp.hBOOL (tptp.hAPP_state_bool B_1 S_1))) (not (=> (tptp.hBOOL (tptp.hAPP_state_bool B_1 S_1)) (forall ((S1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C) S_1) S1)) (not (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.while B_1 C)) S1) T)))))))))))
% 3.20/3.44  (assume a600 (forall ((C $$unsorted) (A $$unsorted) (F $$unsorted) (B_1 $$unsorted)) (=> (= A (tptp.hAPP_f759274231e_bool F B_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C) B_1)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun_pname_bool X_2) (tptp.is_fun_pname_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool F Y_2)) (tptp.hAPP_f759274231e_bool F X_2)))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool F C)) A)))))))
% 3.20/3.44  (assume a601 (forall ((C $$unsorted) (A $$unsorted) (F $$unsorted) (B_1 $$unsorted)) (=> (= A (tptp.hAPP_f921536533e_bool F B_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C) B_1)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_2) X_2)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool F Y_2)) (tptp.hAPP_f921536533e_bool F X_2))))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool F C)) A)))))))
% 3.20/3.44  (assume a602 (forall ((F $$unsorted) (C $$unsorted) (B_1 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) A)) (=> (= (tptp.hAPP_f759274231e_bool F B_1) C) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun_pname_bool X_2) (tptp.is_fun_pname_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool F Y_2)) (tptp.hAPP_f759274231e_bool F X_2)))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C) (tptp.hAPP_f759274231e_bool F A))))))))
% 3.20/3.44  (assume a603 (forall ((F $$unsorted) (C $$unsorted) (B_1 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B_1) A)) (=> (= (tptp.hAPP_f921536533e_bool F B_1) C) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_2) X_2)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool F Y_2)) (tptp.hAPP_f921536533e_bool F X_2))))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C) (tptp.hAPP_f921536533e_bool F A))))))))
% 3.20/3.44  (assume a604 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (not (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool A_1) B) tptp.bot_bo1649642514l_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool A_1) B))) (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool A_1) B))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F (tptp.hAPP_f674760225e_bool Fa A_1)) (tptp.hAPP_f674760225e_bool Fa B)))))))))
% 3.20/3.44  (assume a605 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite132673334e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool B)) (=> (not (= (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila1410775201l_bool A_1) B) tptp.bot_bo1325454745l_bool)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F (tptp.hAPP_f772567431e_bool Fa (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila2055205435l_bool A_1) B))) (tptp.hAPP_f772567431e_bool Fa (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila1410775201l_bool A_1) B))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F (tptp.hAPP_f772567431e_bool Fa A_1)) (tptp.hAPP_f772567431e_bool Fa B)))))))))
% 3.20/3.44  (assume a606 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (not (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B) tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B))) (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B))) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F (tptp.hAPP_f1297739591_pname Fa A_1)) (tptp.hAPP_f1297739591_pname Fa B)))))))))
% 3.20/3.44  (assume a607 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite774711482_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state B)) (=> (not (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B) tptp.bot_bo1055319631e_bool)) (= (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F (tptp.hAPP_f2143211163_state Fa (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B))) (tptp.hAPP_f2143211163_state Fa (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B))) (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F (tptp.hAPP_f2143211163_state Fa A_1)) (tptp.hAPP_f2143211163_state Fa B)))))))))
% 3.20/3.44  (assume a608 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (and (tptp.is_fun1661590463l_bool B) (tptp.is_fun1661590463l_bool A_1)) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (not (= A_1 tptp.bot_bo1649642514l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (not (= B tptp.bot_bo1649642514l_bool)) (=> (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool A_1) B) tptp.bot_bo1649642514l_bool) (= (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool A_1) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F (tptp.hAPP_f674760225e_bool Fa A_1)) (tptp.hAPP_f674760225e_bool Fa B))))))))))))
% 3.20/3.44  (assume a609 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite132673334e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (=> (not (= A_1 tptp.bot_bo1325454745l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool B)) (=> (not (= B tptp.bot_bo1325454745l_bool)) (=> (= (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila1410775201l_bool A_1) B) tptp.bot_bo1325454745l_bool) (= (tptp.hAPP_f772567431e_bool Fa (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila2055205435l_bool A_1) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F (tptp.hAPP_f772567431e_bool Fa A_1)) (tptp.hAPP_f772567431e_bool Fa B)))))))))))
% 3.20/3.44  (assume a610 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (and (tptp.is_fun_pname_bool B) (tptp.is_fun_pname_bool A_1)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (not (= A_1 tptp.bot_bo844097828e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (not (= B tptp.bot_bo844097828e_bool)) (=> (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B) tptp.bot_bo844097828e_bool) (= (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_1) B)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F (tptp.hAPP_f1297739591_pname Fa A_1)) (tptp.hAPP_f1297739591_pname Fa B))))))))))))
% 3.20/3.44  (assume a611 (forall ((B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite774711482_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (=> (not (= A_1 tptp.bot_bo1055319631e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state B)) (=> (not (= B tptp.bot_bo1055319631e_bool)) (=> (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B) tptp.bot_bo1055319631e_bool) (= (tptp.hAPP_f2143211163_state Fa (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B)) (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F (tptp.hAPP_f2143211163_state Fa A_1)) (tptp.hAPP_f2143211163_state Fa B)))))))))))
% 3.20/3.44  (assume a612 (forall ((B $$unsorted) (C $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B)))))))
% 3.20/3.44  (assume a613 (forall ((B $$unsorted) (C $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) B)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B)))))))
% 3.20/3.44  (assume a614 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))))))))
% 3.20/3.44  (assume a615 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) A_1)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) B))))))))
% 3.20/3.44  (assume a616 (forall ((G_1 $$unsorted) (Fa $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool G_1))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool Fa) G_1))))))
% 3.20/3.44  (assume a617 (forall ((G_1 $$unsorted) (Fa $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool G_1))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila1410775201l_bool Fa) G_1))))))
% 3.20/3.44  (assume a618 (forall ((G_1 $$unsorted) (Fa $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname G_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool Fa) G_1))))))
% 3.20/3.44  (assume a619 (forall ((G_1 $$unsorted) (Fa $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state Fa)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state G_1))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool Fa) G_1))))))
% 3.20/3.44  (assume a620 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B) tptp.bot_bo844097828e_bool) (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1)) (forall ((Xa $$unsorted)) (=> (tptp.is_pname Xa) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname Xa) B)) (not (= X_2 Xa)))))))))))
% 3.20/3.44  (assume a621 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B) tptp.bot_bo1055319631e_bool) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1)) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state Xa) B)) (not (= X_2 Xa)))))))))
% 3.20/3.44  (assume a622 (forall ((A_1 $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) tptp.bot_bo844097828e_bool) tptp.bot_bo844097828e_bool)))
% 3.20/3.44  (assume a623 (forall ((A_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) tptp.bot_bo1055319631e_bool) tptp.bot_bo1055319631e_bool)))
% 3.20/3.44  (assume a624 (forall ((B $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool tptp.bot_bo844097828e_bool) B) tptp.bot_bo844097828e_bool)))
% 3.20/3.44  (assume a625 (forall ((B $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool tptp.bot_bo1055319631e_bool) B) tptp.bot_bo1055319631e_bool)))
% 3.20/3.44  (assume a626 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B) (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fconj) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) A_1))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) B))))))
% 3.20/3.44  (assume a627 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B) (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fconj) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) A_1))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) B))))))
% 3.20/3.44  (assume a628 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool A_1) B) (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) A_1))) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) B))))))
% 3.20/3.44  (assume a629 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila1410775201l_bool A_1) B) (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fconj) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f517001763l_bool tptp.cOMBC_1166591542l_bool tptp.member402455436e_bool) A_1))) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f517001763l_bool tptp.cOMBC_1166591542l_bool tptp.member402455436e_bool) B))))))
% 3.20/3.44  (assume a630 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))))))
% 3.20/3.44  (assume a631 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B))) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) B))))))
% 3.20/3.44  (assume a632 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A_1)))))
% 3.20/3.44  (assume a633 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) A_1)))))
% 3.20/3.44  (assume a634 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B)))))
% 3.20/3.44  (assume a635 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) B)))))
% 3.20/3.44  (assume a636 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool tptp.collec727977250_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state tptp.fconj) P_1)) Q_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool tptp.collec727977250_state P_1)) (tptp.hAPP_f921536533e_bool tptp.collec727977250_state Q_1)))))
% 3.20/3.44  (assume a637 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname tptp.fconj) P_1)) Q_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1)) (tptp.hAPP_f759274231e_bool tptp.collect_pname Q_1)))))
% 3.20/3.44  (assume a638 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj) P_1)) Q_1)) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1)) (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool Q_1)))))
% 3.20/3.44  (assume a639 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool tptp.fconj) P_1)) Q_1)) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila1410775201l_bool (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool P_1)) (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool Q_1)))))
% 3.20/3.44  (assume a640 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (P_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1)))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_1))))))
% 3.20/3.44  (assume a641 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (P_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) (tptp.hAPP_f921536533e_bool tptp.collec727977250_state P_1)))) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_1))))))
% 3.20/3.44  (assume a642 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (P_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool A_1) (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1)))) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 X_1))))))
% 3.20/3.44  (assume a643 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (P_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool X_1) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila1410775201l_bool A_1) (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool P_1)))) (and (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 X_1))))))
% 3.20/3.44  (assume a644 (forall ((R_1 $$unsorted) (S $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) R_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) S)) X_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool R_1) S))))))
% 3.20/3.44  (assume a645 (forall ((R_1 $$unsorted) (S $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) R_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool tptp.member1758697444_state) S)) X_2)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool R_1) S))))))
% 3.20/3.44  (assume a646 (forall ((A_1 $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool B) C_1))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool C_1) A_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B) C_1))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool C_1) A_1)))))
% 3.20/3.44  (assume a647 (forall ((B $$unsorted) (C_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool B) C_1)) A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B) A_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool C_1) A_1)))))
% 3.20/3.44  (assume a648 (forall ((B $$unsorted) (C_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B) C_1)) A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool B) A_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool C_1) A_1)))))
% 3.20/3.44  (assume a649 (forall ((A_1 $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool B) C_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool A_1) C_1)))))
% 3.20/3.44  (assume a650 (forall ((A_1 $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B) C_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) C_1)))))
% 3.20/3.44  (assume a651 (forall ((B $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) D_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool C_1) D_1)))))))
% 3.20/3.44  (assume a652 (forall ((B $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) D_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool C_1) D_1)))))))
% 3.20/3.44  (assume a653 (forall ((B $$unsorted) (C_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_1) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_1) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B)))))))
% 3.20/3.44  (assume a654 (forall ((B $$unsorted) (C_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C_1) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C_1) B)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B)))))))
% 3.20/3.44  (assume a655 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B) B)))))
% 3.20/3.44  (assume a656 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B) A_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B) B))))
% 3.20/3.44  (assume a657 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B) A_1)))))
% 3.20/3.44  (assume a658 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B) A_1))))
% 3.20/3.44  (assume a659 (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B)) B))))
% 3.20/3.44  (assume a660 (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B)) B))))
% 3.20/3.44  (assume a661 (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B)) A_1))))
% 3.20/3.44  (assume a662 (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B)) A_1))))
% 3.20/3.44  (assume a663 (forall ((B $$unsorted) (A $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) C_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) C_1))))))
% 3.20/3.44  (assume a664 (forall ((B $$unsorted) (A $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) C_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) C_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool B) C_1))))))
% 3.20/3.44  (assume a665 (forall ((B $$unsorted) (A $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) A_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B))))))
% 3.20/3.44  (assume a666 (forall ((B $$unsorted) (A $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) A_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B))))))
% 3.20/3.44  (assume a667 (forall ((B $$unsorted) (A $$unsorted) (C_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) C_1))) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) C_1)))))
% 3.20/3.44  (assume a668 (forall ((B $$unsorted) (A $$unsorted) (C_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) C_1))) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) C_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool B) C_1)))))
% 3.20/3.44  (assume a669 (forall ((B $$unsorted) (A $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) A_1))) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B)))))
% 3.20/3.44  (assume a670 (forall ((B $$unsorted) (A $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) A_1))) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B)))))
% 3.20/3.44  (assume a671 (forall ((A $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) A_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B)))))
% 3.20/3.44  (assume a672 (forall ((A $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) A_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B)))))
% 3.20/3.44  (assume a673 (forall ((B $$unsorted) (A $$unsorted) (C_1 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) C_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) C_1)))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) C_1))) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) C_1))))))
% 3.20/3.44  (assume a674 (forall ((B $$unsorted) (A $$unsorted) (C_1 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) C_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) C_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool B) C_1)))) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) C_1))) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) C_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool B) C_1))))))
% 3.20/3.44  (assume a675 (forall ((B $$unsorted) (A $$unsorted) (A_1 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) A_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B)))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) A_1))) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B))))))
% 3.20/3.44  (assume a676 (forall ((B $$unsorted) (A $$unsorted) (A_1 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) A_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B)))) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) A_1))) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B))))))
% 3.20/3.44  (assume a677 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Y_1)) X_1))))
% 3.20/3.44  (assume a678 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Y_1)) X_1))))
% 3.20/3.44  (assume a679 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Y_1)) X_1))))
% 3.20/3.44  (assume a680 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Y_1)) X_1))))
% 3.20/3.44  (assume a681 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Y_1)) Y_1))))
% 3.20/3.44  (assume a682 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Y_1)) Y_1))))
% 3.20/3.44  (assume a683 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Y_1)) Y_1))))
% 3.20/3.44  (assume a684 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Y_1)) Y_1))))
% 3.20/3.44  (assume a685 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.is_fun_pname_bool X_1) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Y_1) X_1)))))
% 3.20/3.44  (assume a686 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Y_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Y_1) X_1))))
% 3.20/3.44  (assume a687 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool Y_1) Z))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Z))))))
% 3.20/3.44  (assume a688 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool Y_1) Z))) (and (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Z))))))
% 3.20/3.44  (assume a689 (forall ((B_1 $$unsorted) (A $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) X_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B_1)) X_1)))))
% 3.20/3.44  (assume a690 (forall ((B_1 $$unsorted) (A $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A) X_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A) B_1)) X_1)))))
% 3.20/3.44  (assume a691 (forall ((A $$unsorted) (B_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B_1)) X_1)))))
% 3.20/3.44  (assume a692 (forall ((A $$unsorted) (B_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A) B_1)) X_1)))))
% 3.20/3.44  (assume a693 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.is_fun_pname_bool X_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Y_1) X_1)))))
% 3.20/3.44  (assume a694 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Y_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Y_1) X_1))))
% 3.20/3.44  (assume a695 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.is_fun_pname_bool Y_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_1) X_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Y_1) Y_1)))))
% 3.20/3.44  (assume a696 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool Y_1) X_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Y_1) Y_1))))
% 3.20/3.44  (assume a697 (forall ((B_1 $$unsorted) (X_1 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B_1)))))))
% 3.20/3.44  (assume a698 (forall ((B_1 $$unsorted) (X_1 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) B_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A) B_1)))))))
% 3.20/3.44  (assume a699 (forall ((Z $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Z)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool Y_1) Z)))))))
% 3.20/3.44  (assume a700 (forall ((Z $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) Z)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool Y_1) Z)))))))
% 3.20/3.44  (assume a701 (forall ((B_1 $$unsorted) (D $$unsorted) (A $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) C)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) D)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool C) D)))))))
% 3.20/3.44  (assume a702 (forall ((B_1 $$unsorted) (D $$unsorted) (A $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A) C)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool B_1) D)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A) B_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool C) D)))))))
% 3.20/3.44  (assume a703 (forall ((X_1 $$unsorted) (A $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B_1))) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) A)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) B_1))))))))
% 3.20/3.44  (assume a704 (forall ((X_1 $$unsorted) (A $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A) B_1))) (not (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) A)) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool X_1) B_1))))))))
% 3.20/3.44  (assume a705 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)) X_1)))
% 3.20/3.44  (assume a706 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Y_1)) X_1)))
% 3.20/3.44  (assume a707 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) Z)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Y_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Z)))))
% 3.20/3.44  (assume a708 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool Y_1) Z)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Z)))))
% 3.20/3.44  (assume a709 (forall ((Y_1 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) Z)) X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool Y_1) X_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool Z) X_1)))))
% 3.20/3.44  (assume a710 (forall ((Y_1 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool Y_1) Z)) X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) X_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Z) X_1)))))
% 3.20/3.44  (assume a711 (forall ((X_1 $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) tptp.bot_bo844097828e_bool) tptp.bot_bo844097828e_bool)))
% 3.20/3.44  (assume a712 (forall ((X_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) tptp.bot_bo1055319631e_bool) tptp.bot_bo1055319631e_bool)))
% 3.20/3.44  (assume a713 (forall ((X_1 $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool tptp.bot_bo844097828e_bool) X_1) tptp.bot_bo844097828e_bool)))
% 3.20/3.44  (assume a714 (forall ((X_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool tptp.bot_bo1055319631e_bool) X_1) tptp.bot_bo1055319631e_bool)))
% 3.20/3.44  (assume a715 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool Y_1) Z))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Z))))))
% 3.20/3.44  (assume a716 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool Y_1) Z))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Z))))))
% 3.20/3.44  (assume a717 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Y_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Z))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_1) Z))))))
% 3.20/3.44  (assume a718 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Y_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Z))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) Z))))))
% 3.20/3.44  (assume a719 (forall ((F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) A_1)) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) B))))))
% 3.20/3.44  (assume a720 (forall ((A_1 $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (= (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) C_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_1) A_1)))))
% 3.20/3.44  (assume a721 (forall ((A_1 $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (= (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) B)) C_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool B) C_1))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool C_1) A_1)))))
% 3.20/3.44  (assume a722 (forall ((P_1 $$unsorted) (F $$unsorted) (G $$unsorted) (S $$unsorted)) (= (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1661207211_state (tptp.hAPP_f137248406_state tptp.cOMBS_843273363_state (tptp.hAPP_f2101567797_state (tptp.hAPP_f939130838_state tptp.cOMBS_381334199_state (tptp.hAPP_f1405979047_state (tptp.cOMBB_707293872_pname tptp.if_Hoa533980679_state) P_1)) F)) G)) S) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool S) (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1)))) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state G) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool S) (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.cOMBB_647938656_pname tptp.fNot) P_1))))))))
% 3.20/3.44  (assume a723 (forall ((P_1 $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.dom_pname_com (tptp.hAPP_f2123220539on_com (tptp.hAPP_f1673966486on_com tptp.cOMBS_904531235on_com (tptp.hAPP_f648377725on_com (tptp.hAPP_f2093196134on_com tptp.cOMBS_1529518335on_com (tptp.hAPP_f755519727on_com (tptp.cOMBB_1394247784_pname tptp.if_option_com) P_1)) F)) G)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.dom_pname_com F)) (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.dom_pname_com G)) (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.cOMBB_647938656_pname tptp.fNot) P_1)))))))
% 3.20/3.44  (assume a724 (forall ((Q_1 $$unsorted) (P_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) B)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_pname X_2) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1)) (=> (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_pname_bool Q_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_1) (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) (tptp.hAPP_f759274231e_bool tptp.collect_pname Q_1))))))))
% 3.20/3.44  (assume a725 (forall ((Q_1 $$unsorted) (P_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool A_1) B)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_2) A_1)) (=> (tptp.hBOOL (tptp.hAPP_H513860823e_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool Q_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool A_1) (tptp.hAPP_f921536533e_bool tptp.collec727977250_state P_1))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool B) (tptp.hAPP_f921536533e_bool tptp.collec727977250_state Q_1))))))))
% 3.20/3.44  (assume a726 (forall ((Q_1 $$unsorted) (P_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A_1) B)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun_pname_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Q_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool A_1) (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1))) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool B) (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool Q_1))))))))
% 3.20/3.44  (assume a727 (forall ((Q_1 $$unsorted) (P_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool A_1) B)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool X_2) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool Q_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool tptp.ord_le1076702565l_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila1410775201l_bool A_1) (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool P_1))) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.semila1410775201l_bool B) (tptp.hAPP_f1970439265l_bool tptp.collec111528142e_bool Q_1))))))))
% 3.20/3.44  (assume a728 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_2) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_2) Z_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_2) Y_2)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_2) Z_1)))) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool Y_1) Z)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Y_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_1) Z))))))
% 3.20/3.44  (assume a729 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_2) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool Y_2) Z_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_2) Y_2)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool X_2) Z_1)))) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool Y_1) Z)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila447562797e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Y_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.semila2145357127e_bool X_1) Z))))))
% 3.20/3.44  (assume a730 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_pname X_1) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1)) (and (=> (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) tptp.bot_bo844097828e_bool) (= (tptp.hAPP_f1297739591_pname Fa A_1) X_1)) (=> (not (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f1297739591_pname Fa A_1) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)))))))))))))
% 3.20/3.44  (assume a731 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite774711482_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1)) (and (=> (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) tptp.bot_bo1055319631e_bool)) tptp.bot_bo1055319631e_bool) (= (tptp.hAPP_f2143211163_state Fa A_1) X_1)) (=> (not (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) tptp.bot_bo1055319631e_bool)) tptp.bot_bo1055319631e_bool)) (= (tptp.hAPP_f2143211163_state Fa A_1) (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F X_1) (tptp.hAPP_f2143211163_state Fa (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) tptp.bot_bo1055319631e_bool))))))))))))
% 3.20/3.44  (assume a732 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun_pname_bool X_1) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A_1)) (and (=> (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A_1) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) tptp.bot_bo1649642514l_bool)) tptp.bot_bo1649642514l_bool) (= (tptp.hAPP_f674760225e_bool Fa A_1) X_1)) (=> (not (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A_1) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) tptp.bot_bo1649642514l_bool)) tptp.bot_bo1649642514l_bool)) (= (tptp.hAPP_f674760225e_bool Fa A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F X_1) (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A_1) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) tptp.bot_bo1649642514l_bool)))))))))))))
% 3.20/3.44  (assume a733 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite132673334e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool tptp.member402455436e_bool X_1) A_1)) (and (=> (= (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.minus_164259166l_bool A_1) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_1) tptp.bot_bo1325454745l_bool)) tptp.bot_bo1325454745l_bool) (= (tptp.hAPP_f772567431e_bool Fa A_1) X_1)) (=> (not (= (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.minus_164259166l_bool A_1) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_1) tptp.bot_bo1325454745l_bool)) tptp.bot_bo1325454745l_bool)) (= (tptp.hAPP_f772567431e_bool Fa A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F X_1) (tptp.hAPP_f772567431e_bool Fa (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.minus_164259166l_bool A_1) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_1) tptp.bot_bo1325454745l_bool))))))))))))
% 3.20/3.44  (assume a734 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_pname X_1) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (and (=> (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) tptp.bot_bo844097828e_bool) (= (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A_1)) X_1)) (=> (not (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A_1)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))))))))))))
% 3.20/3.44  (assume a735 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite774711482_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (and (=> (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) tptp.bot_bo1055319631e_bool)) tptp.bot_bo1055319631e_bool) (= (tptp.hAPP_f2143211163_state Fa (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) A_1)) X_1)) (=> (not (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) tptp.bot_bo1055319631e_bool)) tptp.bot_bo1055319631e_bool)) (= (tptp.hAPP_f2143211163_state Fa (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) A_1)) (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state F X_1) (tptp.hAPP_f2143211163_state Fa (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) tptp.bot_bo1055319631e_bool)))))))))))
% 3.20/3.44  (assume a736 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.is_fun_pname_bool X_1) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (and (=> (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A_1) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) tptp.bot_bo1649642514l_bool)) tptp.bot_bo1649642514l_bool) (= (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) A_1)) X_1)) (=> (not (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A_1) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) tptp.bot_bo1649642514l_bool)) tptp.bot_bo1649642514l_bool)) (= (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) A_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F X_1) (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A_1) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) tptp.bot_bo1649642514l_bool))))))))))))
% 3.20/3.44  (assume a737 (forall ((X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.finite132673334e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (and (=> (= (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.minus_164259166l_bool A_1) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_1) tptp.bot_bo1325454745l_bool)) tptp.bot_bo1325454745l_bool) (= (tptp.hAPP_f772567431e_bool Fa (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_1) A_1)) X_1)) (=> (not (= (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.minus_164259166l_bool A_1) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_1) tptp.bot_bo1325454745l_bool)) tptp.bot_bo1325454745l_bool)) (= (tptp.hAPP_f772567431e_bool Fa (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_1) A_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool F X_1) (tptp.hAPP_f772567431e_bool Fa (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.minus_164259166l_bool A_1) (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f601642911l_bool tptp.insert1991711667e_bool X_1) tptp.bot_bo1325454745l_bool)))))))))))
% 3.20/3.44  (assume a738 (forall ((B $$unsorted) (C $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_1) B)))))))
% 3.20/3.44  (assume a739 (forall ((B $$unsorted) (C $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) B))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) B)))))))
% 3.20/3.44  (assume a740 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_1) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B)))))))
% 3.20/3.44  (assume a741 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state C) B)))))))
% 3.20/3.44  (assume a742 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A_1) B))))))
% 3.20/3.44  (assume a743 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool A_1)) (tptp.hBOOL (tptp.hAPP_f239102607l_bool tptp.finite899049100e_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1587382801l_bool tptp.minus_164259166l_bool A_1) B))))))
% 3.20/3.44  (assume a744 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_1) B))))))
% 3.20/3.44  (assume a745 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state A_1)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) B))))))
% 3.20/3.44  (assume a746 (forall ((A $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A) A_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) tptp.bot_bo844097828e_bool))) A_1)))))
% 3.20/3.44  (assume a747 (forall ((A $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state A) A_1)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) tptp.bot_bo1055319631e_bool))) A_1))))
% 3.20/3.44  (assume a748 (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.is_fun_pname_bool A_1) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A_1))) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) A_1)))))
% 3.20/3.44  (assume a749 (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state X_1) A_1))) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) A_1)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state X_1) tptp.bot_bo1055319631e_bool)) A_1))))
% 3.20/3.44  (assume a750 (forall ((A $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) tptp.bot_bo844097828e_bool))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A) A_1))))
% 3.20/3.44  (assume a751 (forall ((A $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) tptp.bot_bo1055319631e_bool))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) A_1))))
% 3.20/3.44  (assume a752 (forall ((A_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) B)) (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1583986009e_bool tptp.minus_2076558538e_bool A_1) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state A) tptp.bot_bo1055319631e_bool))) B))))
% 3.20/3.44  (assume a753 (forall ((P $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P))) (not (tptp.hBOOL P)))))
% 3.20/3.44  (assume a754 (forall ((P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P)))))
% 3.20/3.44  (assume a755 (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)))))
% 3.20/3.44  (assume a756 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL P))))
% 3.20/3.44  (assume a757 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL Q))))
% 3.20/3.44  (assume a758 (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q)))))
% 3.20/3.44  (assume a759 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q)))))
% 3.20/3.44  (assume a760 (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))))
% 3.20/3.44  (assume a761 (not (tptp.hBOOL tptp.fFalse)))
% 3.20/3.44  (assume a762 (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))))
% 3.20/3.44  (assume a763 (forall ((Q $$unsorted) (P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q)))))
% 3.20/3.44  (assume a764 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q)))))
% 3.20/3.44  (assume a765 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q))) (not (tptp.hBOOL P)) (tptp.hBOOL Q))))
% 3.20/3.44  (assume a766 (forall ((X $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f327114704l_bool tptp.fAll_state P))) (tptp.hBOOL (tptp.hAPP_state_bool P X)))))
% 3.20/3.44  (assume a767 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_pname X) (tptp.is_pname Y)) (or (not (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname X) Y))) (= X Y)))))
% 3.20/3.44  (assume a768 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname X) Y)))))
% 3.20/3.44  (assume a769 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool tptp.fequal_state X) Y))) (= X Y))))
% 3.20/3.44  (assume a770 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool tptp.fequal_state X) Y)))))
% 3.20/3.44  (assume a771 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_pname_bool (tptp.cOMBK_bool_pname P) Q) P))))
% 3.20/3.44  (assume a772 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_o356497025on_com (tptp.hAPP_o334540577on_com (tptp.hAPP_b1679505845on_com tptp.if_option_com tptp.fTrue) X) Y) X)))
% 3.20/3.44  (assume a773 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_o356497025on_com (tptp.hAPP_o334540577on_com (tptp.hAPP_b1679505845on_com tptp.if_option_com tptp.fFalse) X) Y) Y)))
% 3.20/3.44  (assume a774 (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))))
% 3.20/3.44  (assume a775 (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)))))
% 3.20/3.44  (assume a776 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool X) Y)))))
% 3.20/3.44  (assume a777 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.cOMBB_647938656_pname P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_pname_bool Q R)))))
% 3.20/3.44  (assume a778 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_state_bool (tptp.hAPP_f1759915619e_bool (tptp.cOMBB_160679318_state P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_state_bool Q R)))))
% 3.20/3.44  (assume a779 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_state_bool (tptp.hAPP_b2019457360e_bool (tptp.hAPP_f167292325e_bool tptp.cOMBC_231445413l_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_s58564346l_bool P R) Q))))
% 3.20/3.44  (assume a780 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f649174806e_bool tptp.cOMBS_568398431l_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_p393069232l_bool P R) (tptp.hAPP_pname_bool Q R)))))
% 3.20/3.44  (assume a781 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_state_bool (tptp.hAPP_f1759915619e_bool (tptp.hAPP_f644196280e_bool tptp.cOMBS_1378840469l_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_s58564346l_bool P R) (tptp.hAPP_state_bool Q R)))))
% 3.20/3.44  (assume a782 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool (tptp.hAPP_f22061361e_bool tptp.cOMBC_1149511130e_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool P R) Q))))
% 3.20/3.44  (assume a783 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.hAPP_f817621513e_bool tptp.cOMBC_2027030106e_bool P) Q) R) (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P R) Q))))
% 3.20/3.44  (assume a784 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBK_1857069011e_bool P) Q) P))))
% 3.20/3.44  (assume a785 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_s1806633685e_bool (tptp.cOMBK_631994958_state P) Q) P)))
% 3.20/3.44  (assume a786 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state (tptp.hAPP_b798484845_state tptp.if_Hoa533980679_state tptp.fTrue) X) Y) X)))
% 3.20/3.44  (assume a787 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_H563960305_state (tptp.hAPP_H521649881_state (tptp.hAPP_b798484845_state tptp.if_Hoa533980679_state tptp.fFalse) X) Y) Y)))
% 3.20/3.44  (assume a788 (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))))
% 3.20/3.44  (assume a789 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_H513860823e_bool (tptp.hAPP_H1645666623e_bool tptp.fequal1531560888_state X) Y))) (= X Y))))
% 3.20/3.44  (assume a790 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_H513860823e_bool (tptp.hAPP_H1645666623e_bool tptp.fequal1531560888_state X) Y)))))
% 3.20/3.44  (assume a791 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_com (tptp.hAPP_f96342628me_com (tptp.cOMBB_923936821_pname P) Q) R) (tptp.hAPP_option_com_com P (tptp.hAPP_p799580910on_com Q R)))))
% 3.20/3.44  (assume a792 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f559147733l_bool (tptp.cOMBB_307249310e_bool P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f1664156314l_bool Q R)))))
% 3.20/3.44  (assume a793 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p393069232l_bool (tptp.hAPP_f1402196763l_bool (tptp.cOMBB_675860798_pname P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_pname_bool Q R)))))
% 3.20/3.44  (assume a794 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_s58564346l_bool (tptp.hAPP_f1259673775l_bool (tptp.cOMBB_188601460_state P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_state_bool Q R)))))
% 3.20/3.44  (assume a795 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f624840228l_bool tptp.cOMBS_350070575l_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f1476298914l_bool P R) (tptp.hAPP_f1664156314l_bool Q R)))))
% 3.20/3.44  (assume a796 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_f42430548e_bool (tptp.cOMBB_530759491_pname P) Q) R) (tptp.hAPP_f1664156314l_bool P (tptp.hAPP_p61793385e_bool Q R)))))
% 3.20/3.44  (assume a797 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_state_bool (tptp.hAPP_f1012183542e_bool (tptp.cOMBB_1911358915_state P) Q) R) (tptp.hAPP_f327114704l_bool P (tptp.hAPP_s1806633685e_bool Q R)))))
% 3.20/3.44  (assume a798 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool P R) Q))))
% 3.20/3.44  (assume a799 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_s1806633685e_bool (tptp.hAPP_b1095269219e_bool (tptp.hAPP_f701449317e_bool tptp.cOMBC_471052088e_bool P) Q) R) (tptp.hAPP_b2019457360e_bool (tptp.hAPP_s1874344717e_bool P R) Q))))
% 3.20/3.44  (assume a800 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool (tptp.hAPP_f2082757169l_bool tptp.cOMBC_1004116266e_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool P R) Q))))
% 3.20/3.44  (assume a801 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p61793385e_bool (tptp.hAPP_f1336811455e_bool (tptp.cOMBB_542850580_pname P) Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_pname_pname Q R)))))
% 3.20/3.45  (assume a802 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_H513860823e_bool (tptp.cOMBK_1079618832_state P) Q) P))))
% 3.20/3.45  (assume a803 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_pname P) (= (tptp.hAPP_H1344248906_pname (tptp.cOMBK_588224941_state P) Q) P))))
% 3.20/3.45  (assume a804 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_p1842370726_state (tptp.cOMBK_90103121_pname P) Q) P)))
% 3.20/3.45  (assume a805 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.fequal1746921144e_bool X) Y))) (= X Y))))
% 3.20/3.45  (assume a806 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.fequal1746921144e_bool X) Y)))))
% 3.20/3.45  (assume a807 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p799580910on_com (tptp.hAPP_f2123220539on_com (tptp.hAPP_f1673966486on_com tptp.cOMBS_904531235on_com P) Q) R) (tptp.hAPP_o356497025on_com (tptp.hAPP_p1086945780on_com P R) (tptp.hAPP_p799580910on_com Q R)))))
% 3.20/3.45  (assume a808 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p1842370726_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname P) Q) R) (tptp.hAPP_c1546227244_state P (tptp.hAPP_pname_com Q R)))))
% 3.20/3.45  (assume a809 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool (tptp.cOMBB_416661851_state P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_H513860823e_bool Q R)))))
% 3.20/3.45  (assume a810 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f760664097e_bool tptp.cOMBS_1248383340l_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_H226398757l_bool P R) (tptp.hAPP_H513860823e_bool Q R)))))
% 3.20/3.45  (assume a811 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_H1632039476e_bool (tptp.hAPP_f167506745e_bool tptp.cOMBC_290948233e_bool P) Q) R) (tptp.hAPP_H513860823e_bool (tptp.hAPP_p877885514e_bool P R) Q))))
% 3.20/3.45  (assume a812 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H513860823e_bool (tptp.hAPP_p877885514e_bool (tptp.hAPP_f294904177e_bool tptp.cOMBC_725526061e_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_H1632039476e_bool P R) Q))))
% 3.20/3.45  (assume a813 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1476298914l_bool (tptp.hAPP_f143162813l_bool (tptp.cOMBB_2095475776e_bool P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f1664156314l_bool Q R)))))
% 3.20/3.45  (assume a814 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool (tptp.hAPP_f1297925993l_bool tptp.cOMBC_1284144636l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool P R) Q))))
% 3.20/3.45  (assume a815 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1385420507e_bool (tptp.cOMBB_598082538e_bool P) Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_f1297739591_pname Q R)))))
% 3.20/3.45  (assume a816 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p61793385e_bool (tptp.hAPP_f180827860e_bool (tptp.hAPP_f698292281e_bool tptp.cOMBC_1123258281e_bool P) Q) R) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool P R) Q))))
% 3.20/3.45  (assume a817 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_s1806633685e_bool (tptp.hAPP_f1863945078e_bool (tptp.hAPP_f915354021e_bool tptp.cOMBC_952831051e_bool P) Q) R) (tptp.hAPP_f1759915619e_bool (tptp.hAPP_s1226857760e_bool P R) Q))))
% 3.20/3.45  (assume a818 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f1760790145l_bool (tptp.cOMBK_564432736e_bool P) Q) P))))
% 3.20/3.45  (assume a819 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f1970439265l_bool (tptp.cOMBB_1957242197e_bool P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f1760790145l_bool Q R)))))
% 3.20/3.45  (assume a820 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H226398757l_bool (tptp.hAPP_f1558728829l_bool (tptp.cOMBB_1382207997_state P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_H513860823e_bool Q R)))))
% 3.20/3.45  (assume a821 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f1850463605l_bool tptp.cOMBS_2138645332l_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f1508101115l_bool P R) (tptp.hAPP_f1760790145l_bool Q R)))))
% 3.20/3.45  (assume a822 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_f1745235422e_bool (tptp.hAPP_f1558052123e_bool tptp.cOMBC_2140141647l_bool P) Q) R) (tptp.hAPP_f1760790145l_bool (tptp.hAPP_p1617973726l_bool P R) Q))))
% 3.20/3.45  (assume a823 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H513860823e_bool (tptp.hAPP_f631639356e_bool (tptp.hAPP_f1721106985e_bool tptp.cOMBC_498627897l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_H737849090l_bool P R) Q))))
% 3.20/3.45  (assume a824 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_H737849090l_bool (tptp.hAPP_f261382953l_bool tptp.cOMBC_2107548985e_bool P) Q) R) (tptp.hAPP_H513860823e_bool (tptp.hAPP_f631639356e_bool P R) Q))))
% 3.20/3.45  (assume a825 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1760790145l_bool (tptp.hAPP_p1617973726l_bool (tptp.hAPP_f2070658331l_bool tptp.cOMBC_367297061e_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_f1745235422e_bool P R) Q))))
% 3.20/3.45  (assume a826 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H1632039476e_bool (tptp.hAPP_f833390165e_bool (tptp.cOMBB_1456120487_state P) Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_H1344248906_pname Q R)))))
% 3.20/3.45  (assume a827 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool P) Q) R) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool P R) Q))))
% 3.20/3.45  (assume a828 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p338031245l_bool (tptp.hAPP_f567934427l_bool (tptp.cOMBB_408569982_pname P) Q) R) (tptp.hAPP_f434788991l_bool P (tptp.hAPP_p61793385e_bool Q R)))))
% 3.20/3.45  (assume a829 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_s2001034685l_bool (tptp.hAPP_f1283379615l_bool (tptp.cOMBB_1759179140_state P) Q) R) (tptp.hAPP_f1259673775l_bool P (tptp.hAPP_s1806633685e_bool Q R)))))
% 3.20/3.45  (assume a830 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_s336103912e_bool (tptp.hAPP_f249262236e_bool (tptp.cOMBB_1476898461_state P) Q) R) (tptp.hAPP_f1863945078e_bool P (tptp.hAPP_s1806633685e_bool Q R)))))
% 3.20/3.45  (assume a831 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_s1806633685e_bool (tptp.hAPP_f1935169308e_bool (tptp.cOMBB_1036740637_state P) Q) R) (tptp.hAPP_f1012183542e_bool P (tptp.hAPP_s336103912e_bool Q R)))))
% 3.20/3.45  (assume a832 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p1086945780on_com (tptp.hAPP_f648377725on_com (tptp.hAPP_f2093196134on_com tptp.cOMBS_1529518335on_com P) Q) R) (tptp.hAPP_o334540577on_com (tptp.hAPP_p1164893188on_com P R) (tptp.hAPP_p799580910on_com Q R)))))
% 3.20/3.45  (assume a833 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H513860823e_bool (tptp.hAPP_H1645666623e_bool (tptp.hAPP_f262880489e_bool tptp.cOMBC_1424981238e_bool P) Q) R) (tptp.hAPP_H513860823e_bool (tptp.hAPP_H1645666623e_bool P R) Q))))
% 3.20/3.45  (assume a834 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p1842370726_state (tptp.hAPP_f1661207211_state (tptp.hAPP_f137248406_state tptp.cOMBS_843273363_state P) Q) R) (tptp.hAPP_H563960305_state (tptp.hAPP_p80247908_state P R) (tptp.hAPP_p1842370726_state Q R)))))
% 3.20/3.45  (assume a835 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1508101115l_bool (tptp.hAPP_f482022705l_bool (tptp.cOMBB_2020112947e_bool P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f1760790145l_bool Q R)))))
% 3.20/3.45  (assume a836 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1745235422e_bool (tptp.hAPP_f1973135743e_bool (tptp.cOMBB_1671808265e_bool P) Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_f1008690464_pname Q R)))))
% 3.20/3.45  (assume a837 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p1842370726_state (tptp.hAPP_f1296386871_state (tptp.hAPP_f358330902_state tptp.cOMBS_1615712031_state P) Q) R) (tptp.hAPP_f588507005_state (tptp.hAPP_p1712839024_state P R) (tptp.hAPP_p1637813682e_bool Q R)))))
% 3.20/3.45  (assume a838 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool (tptp.hAPP_f1879335953l_bool tptp.cOMBC_7971162l_bool P) Q) R) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool P R) Q))))
% 3.20/3.45  (assume a839 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_s1874344717e_bool (tptp.hAPP_f873506917e_bool (tptp.cOMBB_1757942702_state P) Q) R) (tptp.hAPP_f167292325e_bool P (tptp.hAPP_s2001034685l_bool Q R)))))
% 3.20/3.45  (assume a840 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p1164893188on_com (tptp.hAPP_f755519727on_com (tptp.cOMBB_1394247784_pname P) Q) R) (tptp.hAPP_b1679505845on_com P (tptp.hAPP_pname_bool Q R)))))
% 3.20/3.45  (assume a841 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H513860823e_bool (tptp.hAPP_f1456107715e_bool (tptp.cOMBB_1653402815_state P) Q) R) (tptp.hAPP_f1760790145l_bool P (tptp.hAPP_H1645666623e_bool Q R)))))
% 3.20/3.45  (assume a842 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool (tptp.hAPP_f1262649863e_bool tptp.cOMBC_764456866l_bool P) Q) R) (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool P R) Q))))
% 3.20/3.45  (assume a843 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool (tptp.hAPP_f492098723l_bool tptp.cOMBC_1305755390e_bool P) Q) R) (tptp.hAPP_H513860823e_bool (tptp.hAPP_f921536533e_bool P R) Q))))
% 3.20/3.45  (assume a844 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p877885514e_bool (tptp.hAPP_f998786331e_bool (tptp.cOMBB_799949246_pname P) Q) R) (tptp.hAPP_H1645666623e_bool P (tptp.hAPP_p1842370726_state Q R)))))
% 3.20/3.45  (assume a845 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H737849090l_bool (tptp.hAPP_f376825399l_bool (tptp.cOMBB_1722165949_state P) Q) R) (tptp.hAPP_f434788991l_bool P (tptp.hAPP_H1632039476e_bool Q R)))))
% 3.20/3.45  (assume a846 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p1712839024_state (tptp.hAPP_f2136041130_state (tptp.hAPP_f1777033564_state tptp.cOMBS_1401555724_state P) Q) R) (tptp.hAPP_c408625258_state (tptp.hAPP_p2032835427_state P R) (tptp.hAPP_pname_com Q R)))))
% 3.20/3.45  (assume a847 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_s1226857760e_bool (tptp.hAPP_f1138284024e_bool (tptp.cOMBB_20296667_state P) Q) R) (tptp.hAPP_f644196280e_bool P (tptp.hAPP_s2001034685l_bool Q R)))))
% 3.20/3.45  (assume a848 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool (tptp.hAPP_f2119687429l_bool tptp.cOMBC_1018307482l_bool P) Q) R) (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool P R) Q))))
% 3.20/3.45  (assume a849 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f631639356e_bool (tptp.hAPP_f547518321e_bool (tptp.cOMBB_1170234304e_bool P) Q) R) (tptp.hAPP_H1645666623e_bool P (tptp.hAPP_f1308959284_state Q R)))))
% 3.20/3.45  (assume a850 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H1645666623e_bool (tptp.hAPP_f1844318385e_bool (tptp.cOMBB_291471741_state P) Q) R) (tptp.hAPP_H1645666623e_bool P (tptp.hAPP_H563960305_state Q R)))))
% 3.20/3.45  (assume a851 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p80247908_state (tptp.hAPP_f2101567797_state (tptp.hAPP_f939130838_state tptp.cOMBS_381334199_state P) Q) R) (tptp.hAPP_H521649881_state (tptp.hAPP_p964374716_state P R) (tptp.hAPP_p1842370726_state Q R)))))
% 3.20/3.45  (assume a852 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f1970439265l_bool (tptp.hAPP_f517001763l_bool tptp.cOMBC_1166591542l_bool P) Q) R) (tptp.hAPP_f239102607l_bool (tptp.hAPP_f105100493l_bool P R) Q))))
% 3.20/3.45  (assume a853 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p1617973726l_bool (tptp.hAPP_f2081555625l_bool (tptp.cOMBB_44445098_pname P) Q) R) (tptp.hAPP_f854625363l_bool P (tptp.hAPP_p877885514e_bool Q R)))))
% 3.20/3.45  (assume a854 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f921536533e_bool (tptp.hAPP_f481659057e_bool (tptp.cOMBB_1099197107e_bool P) Q) R) (tptp.hAPP_H1645666623e_bool P (tptp.hAPP_f2143211163_state Q R)))))
% 3.20/3.45  (assume a855 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H1645666623e_bool (tptp.hAPP_f762269719e_bool (tptp.hAPP_f964290431e_bool tptp.cOMBC_488258100e_bool P) Q) R) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool P R) Q))))
% 3.20/3.45  (assume a856 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p964374716_state (tptp.hAPP_f1405979047_state (tptp.cOMBB_707293872_pname P) Q) R) (tptp.hAPP_b798484845_state P (tptp.hAPP_pname_bool Q R)))))
% 3.20/3.45  (assume a857 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool (tptp.hAPP_f1508257257l_bool tptp.cOMBC_1084925030l_bool P) Q) R) (tptp.hAPP_f239102607l_bool (tptp.hAPP_f1269496639l_bool P R) Q))))
% 3.20/3.45  (assume a858 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p2032835427_state (tptp.hAPP_f950918952_state (tptp.cOMBB_2123334001_pname P) Q) R) (tptp.hAPP_f1949912908_state P (tptp.hAPP_p1637813682e_bool Q R)))))
% 3.20/3.45  (assume a859 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H248360617l_bool (tptp.hAPP_f1862834069l_bool (tptp.cOMBB_1239130257_state P) Q) R) (tptp.hAPP_f854625363l_bool P (tptp.hAPP_H1645666623e_bool Q R)))))
% 3.20/3.45  (assume a860 (tptp.hBOOL tptp.hoare_298929751gleton))
% 3.20/3.45  (assume a861 (tptp.hBOOL tptp.wT_bodies))
% 3.20/3.45  (assume a862 (tptp.hBOOL (tptp.hAPP_f1760790145l_bool tptp.finite784854244_state tptp.fa)))
% 3.20/3.45  (assume a863 (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_H248360617l_bool tptp.member1758697444_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.fa))))
% 3.20/3.45  (assume a864 (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hAPP_f854625363l_bool tptp.ord_le1720872323e_bool tptp.fa) (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) (tptp.hAPP_f96342628me_com (tptp.cOMBB_923936821_pname tptp.the_com) tptp.body))) (tptp.dom_pname_com tptp.body)))))
% 3.20/3.45  (assume a865 (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y)))
% 3.20/3.45  (assume a866 (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.fa)))
% 3.20/3.45  (assume a867 (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))))
% 3.20/3.45  (assume a868 true)
% 3.20/3.45  (step t1 (cl (=> (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))) :rule implies_neg1)
% 3.20/3.45  (anchor :step t2)
% 3.20/3.45  (assume t2.a0 (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)))))
% 3.20/3.45  (step t2.t1 (cl (or (not (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))))) :rule forall_inst :args ((:= G_1 (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (:= G_2 tptp.bot_bo1055319631e_bool) (:= Ts (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))
% 3.20/3.45  (step t2.t2 (cl (not (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) :rule or :premises (t2.t1))
% 3.20/3.45  (step t2.t3 (cl (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) :rule resolution :premises (t2.t2 t2.a0))
% 3.20/3.45  (step t2 (cl (not (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) :rule subproof :discharge (t2.a0))
% 3.20/3.45  (step t3 (cl (=> (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) :rule resolution :premises (t1 t2))
% 3.20/3.45  (step t4 (cl (=> (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) (not (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))))) :rule implies_neg2)
% 3.20/3.45  (step t5 (cl (=> (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) (=> (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))))) :rule resolution :premises (t3 t4))
% 3.20/3.45  (step t6 (cl (=> (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))))) :rule contraction :premises (t5))
% 3.20/3.45  (step t7 (cl (not (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) :rule implies :premises (t6))
% 3.20/3.45  (step t8 (cl (not (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) :rule or_pos)
% 3.20/3.45  (step t9 (cl (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))))) :rule reordering :premises (t8))
% 3.20/3.45  (step t10 (cl (=> (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool)))) :rule implies_neg1)
% 3.20/3.45  (anchor :step t11)
% 3.20/3.45  (assume t11.a0 (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool))))
% 3.20/3.45  (step t11.t1 (cl (or (not (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool)))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool)))) :rule forall_inst :args ((:= G_1 (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body)))))
% 3.20/3.45  (step t11.t2 (cl (not (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool)))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) :rule or :premises (t11.t1))
% 3.20/3.45  (step t11.t3 (cl (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) :rule resolution :premises (t11.t2 t11.a0))
% 3.20/3.45  (step t11 (cl (not (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool)))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) :rule subproof :discharge (t11.a0))
% 3.20/3.45  (step t12 (cl (=> (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) :rule resolution :premises (t10 t11))
% 3.20/3.45  (step t13 (cl (=> (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool)))) :rule implies_neg2)
% 3.20/3.45  (step t14 (cl (=> (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (=> (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool)))) :rule resolution :premises (t12 t13))
% 3.20/3.45  (step t15 (cl (=> (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool)))) :rule contraction :premises (t14))
% 3.20/3.45  (step t16 (cl (not (forall ((G_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) tptp.bot_bo1055319631e_bool)))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) :rule implies :premises (t15))
% 3.20/3.45  (step t17 (cl (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) :rule resolution :premises (t16 a54))
% 3.20/3.45  (step t18 (cl (not (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) :rule or_pos)
% 3.20/3.45  (step t19 (cl (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))) (not (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))))) :rule reordering :premises (t18))
% 3.20/3.45  (step t20 (cl (not (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) :rule or_pos)
% 3.20/3.45  (step t21 (cl (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)) (not (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))))) :rule reordering :premises (t20))
% 3.20/3.45  (step t22 (cl (=> (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) :rule implies_neg1)
% 3.20/3.45  (anchor :step t23)
% 3.20/3.45  (assume t23.a0 (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))))
% 3.20/3.45  (step t23.t1 (cl (or (not (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))))) :rule forall_inst :args ((:= Pn tptp.pn) (:= B_4 tptp.y)))
% 3.20/3.45  (step t23.t2 (cl (not (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) :rule or :premises (t23.t1))
% 3.20/3.45  (step t23.t3 (cl (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) :rule resolution :premises (t23.t2 t23.a0))
% 3.20/3.45  (step t23 (cl (not (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) :rule subproof :discharge (t23.a0))
% 3.20/3.45  (step t24 (cl (=> (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) :rule resolution :premises (t22 t23))
% 3.20/3.45  (step t25 (cl (=> (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) (not (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))))) :rule implies_neg2)
% 3.20/3.45  (step t26 (cl (=> (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) (=> (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))))) :rule resolution :premises (t24 t25))
% 3.20/3.45  (step t27 (cl (=> (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))))) :rule contraction :premises (t26))
% 3.20/3.45  (step t28 (cl (not (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) :rule implies :premises (t27))
% 3.20/3.45  (step t29 (cl (not (= (forall ((Pn $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))))) (not (forall ((Pn $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))))) (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))))) :rule equiv_pos2)
% 3.20/3.45  (step t30 (cl (= (forall ((Pn $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (tptp.hBOOL tptp.wT_bodies)) (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))))) :rule all_simplify)
% 3.20/3.45  (step t31 (cl (= (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (tptp.hBOOL tptp.wT_bodies)) (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))) (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))))) :rule all_simplify)
% 3.20/3.45  (step t32 (cl (= (forall ((Pn $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))))) :rule trans :premises (t30 t31))
% 3.20/3.45  (step t33 (cl (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))))) :rule resolution :premises (t29 t32 a269))
% 3.20/3.45  (step t34 (cl (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) :rule or :premises (t33))
% 3.20/3.45  (step t35 (cl (forall ((Pn $$unsorted) (B_4 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) :rule resolution :premises (t34 a861))
% 3.20/3.45  (step t36 (cl (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) :rule resolution :premises (t28 t35))
% 3.20/3.45  (step t37 (cl (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) :rule resolution :premises (t21 a865 t36))
% 3.20/3.45  (step t38 (cl (=> (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool)))))) :rule implies_neg1)
% 3.20/3.45  (anchor :step t39)
% 3.20/3.45  (assume t39.a0 (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))))
% 3.20/3.45  (step t39.t1 (cl (or (not (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool)))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))))) :rule forall_inst :args ((:= C tptp.y)))
% 3.20/3.45  (step t39.t2 (cl (not (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool)))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) :rule or :premises (t39.t1))
% 3.20/3.45  (step t39.t3 (cl (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) :rule resolution :premises (t39.t2 t39.a0))
% 3.20/3.45  (step t39 (cl (not (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool)))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) :rule subproof :discharge (t39.a0))
% 3.20/3.45  (step t40 (cl (=> (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) :rule resolution :premises (t38 t39))
% 3.20/3.45  (step t41 (cl (=> (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) (not (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))))) :rule implies_neg2)
% 3.20/3.45  (step t42 (cl (=> (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) (=> (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))))) :rule resolution :premises (t40 t41))
% 3.20/3.45  (step t43 (cl (=> (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))))) :rule contraction :premises (t42))
% 3.20/3.45  (step t44 (cl (not (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool)))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) :rule implies :premises (t43))
% 3.20/3.45  (step t45 (cl (not (= (forall ((C $$unsorted)) (=> (tptp.hBOOL tptp.hoare_298929751gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))))) (or (not (tptp.hBOOL tptp.hoare_298929751gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool)))))))) (not (forall ((C $$unsorted)) (=> (tptp.hBOOL tptp.hoare_298929751gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool)))))))) (or (not (tptp.hBOOL tptp.hoare_298929751gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))))) :rule equiv_pos2)
% 3.20/3.45  (step t46 (cl (= (forall ((C $$unsorted)) (=> (tptp.hBOOL tptp.hoare_298929751gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))))) (forall ((C $$unsorted)) (or (not (tptp.hBOOL tptp.hoare_298929751gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))))) :rule all_simplify)
% 3.20/3.45  (step t47 (cl (= (forall ((C $$unsorted)) (or (not (tptp.hBOOL tptp.hoare_298929751gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))) (or (not (tptp.hBOOL tptp.hoare_298929751gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool)))))))) :rule all_simplify)
% 3.20/3.45  (step t48 (cl (= (forall ((C $$unsorted)) (=> (tptp.hBOOL tptp.hoare_298929751gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))))) (or (not (tptp.hBOOL tptp.hoare_298929751gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool)))))))) :rule trans :premises (t46 t47))
% 3.20/3.45  (step t49 (cl (or (not (tptp.hBOOL tptp.hoare_298929751gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool))))))) :rule resolution :premises (t45 t48 a107))
% 3.20/3.45  (step t50 (cl (not (tptp.hBOOL tptp.hoare_298929751gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool)))))) :rule or :premises (t49))
% 3.20/3.45  (step t51 (cl (forall ((C $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo1055319631e_bool)))))) :rule resolution :premises (t50 a860 a861))
% 3.20/3.45  (step t52 (cl (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool))))) :rule resolution :premises (t44 t51))
% 3.20/3.45  (step t53 (cl (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) :rule resolution :premises (t19 t37 t52))
% 3.20/3.45  (step t54 (cl (not (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state tptp.bot_bo1055319631e_bool) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo1055319631e_bool))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state (tptp.hAPP_f631639356e_bool (tptp.image_275883510_state (tptp.hAPP_f1758910594_state (tptp.cOMBB_422605457_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f921536533e_bool (tptp.hAPP_H727730819e_bool tptp.insert1835143293_state (tptp.hAPP_c1546227244_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo1055319631e_bool)))))) :rule resolution :premises (t9 a867 t17 t53))
% 3.27/3.46  (step t55 (cl (not (= (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))) (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)))))) (not (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)))))) (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))) :rule equiv_pos2)
% 3.27/3.46  (step t56 (cl (= (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2)) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))) (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts)))))) :rule all_simplify)
% 3.27/3.46  (step t57 (cl (forall ((G_1 $$unsorted) (G_2 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_2) Ts))) (not (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) G_2))) (tptp.hBOOL (tptp.hAPP_f1760790145l_bool (tptp.hoare_659004819_state G_1) Ts))))) :rule resolution :premises (t55 t56 a58))
% 3.27/3.46  (step t58 (cl) :rule resolution :premises (t7 t54 t57))
% 3.27/3.46  
% 3.27/3.46  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.raIsEcxsun/cvc5---1.0.5_2546.smt2
% 3.27/3.46  % cvc5---1.0.5 exiting
% 3.27/3.46  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------