TSTP Solution File: SWW474_3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW474_3 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n014.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 5.84s 6.06s
% Output : Proof 5.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.39 % Problem : SWW474_3 : TPTP v8.2.0. Released v5.3.0.
% 0.12/0.40 % Command : do_cvc5 %s %d
% 0.44/0.61 % Computer : n014.cluster.edu
% 0.44/0.61 % Model : x86_64 x86_64
% 0.44/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.44/0.61 % Memory : 8042.1875MB
% 0.44/0.61 % OS : Linux 3.10.0-693.el7.x86_64
% 0.44/0.61 % CPULimit : 300
% 0.44/0.61 % WCLimit : 300
% 0.44/0.61 % DateTime : Sun May 26 07:03:24 EDT 2024
% 0.44/0.61 % CPUTime :
% 1.10/1.28 %----Proving TF0_NAR, FOF, or CNF
% 5.84/6.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 5.84/6.06 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.zq0G2SS8Ha/cvc5---1.0.5_16845.smt2
% 5.84/6.06 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.zq0G2SS8Ha/cvc5---1.0.5_16845.smt2
% 5.84/6.06 (assume a0 (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a1 (forall ((Ts tptp.fun_Ho320143120e_bool) (G_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Ts) G_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)))))
% 5.84/6.06 (assume a2 (forall ((Ts tptp.fun_Ho320143120e_bool) (G_2 tptp.fun_Ho320143120e_bool) (Ts_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts_1)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Ts) Ts_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))))
% 5.84/6.06 (assume a3 (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool G_3) G_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))))
% 5.84/6.06 (assume a4 (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))))
% 5.84/6.06 (assume a5 (forall ((Ts tptp.fun_Ho320143120e_bool) (G_2 tptp.fun_Ho320143120e_bool) (T tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state T) tptp.bot_bo39439654e_bool))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state T) Ts)))))))
% 5.84/6.06 (assume a6 (forall ((G_2 tptp.fun_Ho320143120e_bool) (T tptp.hoare_363350478_state) (Ts tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state T) Ts))) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state T) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))))
% 5.84/6.06 (assume a7 (forall ((Pn_1 tptp.pname) (G_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_pname_com tptp.body_1 Pn_1))) G_2)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_option_com_com tptp.the_com (tptp.hAPP_p799580910on_com tptp.body Pn_1)))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_pname_com tptp.body_1 Pn_1))) tptp.bot_bo39439654e_bool))))))
% 5.84/6.06 (assume a8 (forall ((A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (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)))))))
% 5.84/6.06 (assume a9 (forall ((A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (tptp.hBOOL (tptp.hAPP_f834704272l_bool tptp.finite393859187l_bool (tptp.hAPP_f891779797l_bool tptp.collec85445553l_bool (tptp.hAPP_f746351743l_bool (tptp.hAPP_f992844137l_bool tptp.cOMBC_736208532l_bool tptp.ord_le2031828156l_bool) A)))))))
% 5.84/6.06 (assume a10 (forall ((A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f726209793l_bool (tptp.hAPP_f205303905l_bool tptp.cOMBC_1250231770l_bool tptp.ord_le704992346e_bool) A)))))))
% 5.84/6.06 (assume a11 (forall ((A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (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)))))))
% 5.84/6.06 (assume a12 (forall ((H_1 tptp.fun_Ho1262521325e_bool) (Fa tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state Fa)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f766639041l_bool (tptp.image_1660610235e_bool H_1) Fa))))))
% 5.84/6.06 (assume a13 (forall ((H_1 tptp.fun_Ho424838195e_bool) (Fa tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state Fa)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f726209793l_bool (tptp.image_1484638543e_bool H_1) Fa))))))
% 5.84/6.06 (assume a14 (forall ((H_1 tptp.fun_pn800050071e_bool) (Fa tptp.fun_pname_bool)) (=> (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_1) Fa))))))
% 5.84/6.06 (assume a15 (forall ((H_1 tptp.fun_pn1521100553e_bool) (Fa tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f682249667l_bool (tptp.image_1637084625e_bool H_1) Fa))))))
% 5.84/6.06 (assume a16 (forall ((H_1 tptp.fun_fu54631149_state) (Fa tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1912490857e_bool (tptp.image_431763259_state H_1) Fa))))))
% 5.84/6.06 (assume a17 (forall ((H_1 tptp.fun_fu700438391_state) (Fa tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1180969799e_bool (tptp.image_2021386777_state H_1) Fa))))))
% 5.84/6.06 (assume a18 (forall ((H_1 tptp.fun_fu1499449723_pname) (Fa tptp.fun_fu1430349052l_bool)) (=> (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_1) Fa))))))
% 5.84/6.06 (assume a19 (forall ((H_1 tptp.fun_fu2380401_pname) (Fa tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f1892738755e_bool (tptp.image_937015865_pname H_1) Fa))))))
% 5.84/6.06 (assume a20 (forall ((H_1 tptp.fun_pn1262351275_state) (Fa tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state H_1) Fa))))))
% 5.84/6.06 (assume a21 (forall ((A tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool tptp.bot_bo844097828e_bool) A))))
% 5.84/6.06 (assume a22 (forall ((A tptp.fun_com_bool)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool tptp.bot_bot_fun_com_bool) A))))
% 5.84/6.06 (assume a23 (forall ((A tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool tptp.bot_bo39439654e_bool) A))))
% 5.84/6.06 (assume a24 (forall ((A_4 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) A))))))
% 5.84/6.06 (assume a25 (forall ((A_4 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) A))))))
% 5.84/6.06 (assume a26 (forall ((A_4 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) A))))))
% 5.84/6.06 (assume a27 (forall ((A_4 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) A))))))
% 5.84/6.06 (assume a28 (forall ((A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) A))))))
% 5.84/6.06 (assume a29 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool tptp.bot_bo1649642514l_bool)))
% 5.84/6.06 (assume a30 (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool tptp.bot_bo133096688l_bool)))
% 5.84/6.06 (assume a31 (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com tptp.bot_bot_fun_com_bool)))
% 5.84/6.06 (assume a32 (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state tptp.bot_bo39439654e_bool)))
% 5.84/6.06 (assume a33 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.bot_bo844097828e_bool)))
% 5.84/6.06 (assume a34 (forall ((Q_1 tptp.fun_fu1430349052l_bool) (P_1 tptp.fun_fu1430349052l_bool)) (=> (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)))))))
% 5.84/6.06 (assume a35 (forall ((Q_1 tptp.fun_fu1996308102l_bool) (P_1 tptp.fun_fu1996308102l_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool P_1))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool Q_1)))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fconj) P_1)) Q_1)))))))
% 5.84/6.06 (assume a36 (forall ((Q_1 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_Ho320143120e_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state P_1))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state Q_1)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fconj) P_1)) Q_1)))))))
% 5.84/6.06 (assume a37 (forall ((Q_1 tptp.fun_pname_bool) (P_1 tptp.fun_pname_bool)) (=> (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)))))))
% 5.84/6.06 (assume a38 (forall ((C tptp.pname) (A tptp.fun_Ho320143120e_bool)) (and (=> (= A tptp.bot_bo39439654e_bool) (= (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname (tptp.hAPP_p1379817622_pname tptp.cOMBK_83433476_state C)) A) tptp.bot_bo844097828e_bool)) (=> (not (= A tptp.bot_bo39439654e_bool)) (= (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname (tptp.hAPP_p1379817622_pname tptp.cOMBK_83433476_state C)) A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname C) tptp.bot_bo844097828e_bool))))))
% 5.84/6.06 (assume a39 (forall ((C tptp.com) (A tptp.fun_Ho320143120e_bool)) (and (=> (= A tptp.bot_bo39439654e_bool) (= (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com (tptp.hAPP_c6662434te_com tptp.cOMBK_1864507658_state C)) A) tptp.bot_bot_fun_com_bool)) (=> (not (= A tptp.bot_bo39439654e_bool)) (= (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com (tptp.hAPP_c6662434te_com tptp.cOMBK_1864507658_state C)) A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com C) tptp.bot_bot_fun_com_bool))))))
% 5.84/6.06 (assume a40 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_com_bool)) (and (=> (= A tptp.bot_bot_fun_com_bool) (= (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state (tptp.hAPP_H154362754_state tptp.cOMBK_818325696te_com C)) A) tptp.bot_bo39439654e_bool)) (=> (not (= A tptp.bot_bot_fun_com_bool)) (= (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state (tptp.hAPP_H154362754_state tptp.cOMBK_818325696te_com C)) A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state C) tptp.bot_bo39439654e_bool))))))
% 5.84/6.06 (assume a41 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_pname_bool)) (and (=> (= A tptp.bot_bo844097828e_bool) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_H1607320188_state tptp.cOMBK_92056634_pname C)) A) tptp.bot_bo39439654e_bool)) (=> (not (= A tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_H1607320188_state tptp.cOMBK_92056634_pname C)) A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state C) tptp.bot_bo39439654e_bool))))))
% 5.84/6.06 (assume a42 (forall ((C tptp.pname) (X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (= (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname (tptp.hAPP_p1379817622_pname tptp.cOMBK_83433476_state C)) A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname C) tptp.bot_bo844097828e_bool)))))
% 5.84/6.06 (assume a43 (forall ((C tptp.com) (X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (= (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com (tptp.hAPP_c6662434te_com tptp.cOMBK_1864507658_state C)) A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com C) tptp.bot_bot_fun_com_bool)))))
% 5.84/6.06 (assume a44 (forall ((C tptp.pname) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname (tptp.hAPP_p1170154830_pname tptp.cOMBK_pname_pname C)) A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname C) tptp.bot_bo844097828e_bool)))))
% 5.84/6.06 (assume a45 (forall ((C tptp.com) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_f1206115581m_bool (tptp.image_pname_com (tptp.hAPP_c1494068046me_com tptp.cOMBK_com_pname C)) A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com C) tptp.bot_bot_fun_com_bool)))))
% 5.84/6.06 (assume a46 (forall ((C tptp.hoare_363350478_state) (X_1 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (= (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state (tptp.hAPP_H154362754_state tptp.cOMBK_818325696te_com C)) A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state C) tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a47 (forall ((C tptp.hoare_363350478_state) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_H1607320188_state tptp.cOMBK_92056634_pname C)) A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state C) tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a48 (forall ((F tptp.fun_com_option_com) (X_1 tptp.com) (Y_2 tptp.com)) (=> (= (tptp.hAPP_com_option_com F X_1) (tptp.hAPP_com_option_com tptp.some_com Y_2)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) (tptp.dom_com_com F)) (tptp.dom_com_com F)))))
% 5.84/6.06 (assume a49 (forall ((F tptp.fun_Ho12798188_pname) (X_1 tptp.hoare_363350478_state) (Y_2 tptp.pname)) (=> (= (tptp.hAPP_H134270346_pname F X_1) (tptp.hAPP_p1252095976_pname tptp.some_pname Y_2)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) (tptp.dom_Ho75493366_pname F)) (tptp.dom_Ho75493366_pname F)))))
% 5.84/6.06 (assume a50 (forall ((F tptp.fun_Ho382349394_state) (X_1 tptp.hoare_363350478_state) (Y_2 tptp.hoare_363350478_state)) (=> (= (tptp.hAPP_H1942146718_state F X_1) (tptp.hAPP_H1942146718_state tptp.some_H629028223_state Y_2)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) (tptp.dom_Ho867270556_state F)) (tptp.dom_Ho867270556_state F)))))
% 5.84/6.06 (assume a51 (forall ((F tptp.fun_pname_option_com) (X_1 tptp.pname) (Y_2 tptp.com)) (=> (= (tptp.hAPP_p799580910on_com F X_1) (tptp.hAPP_com_option_com tptp.some_com Y_2)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) (tptp.dom_pname_com F)) (tptp.dom_pname_com F)))))
% 5.84/6.06 (assume a52 (forall ((B tptp.fun_fu1430349052l_bool) (F tptp.fun_Ho1262521325e_bool) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.hAPP_f766639041l_bool (tptp.image_1660610235e_bool F) A))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B))))))
% 5.84/6.06 (assume a53 (forall ((B tptp.fun_fu1996308102l_bool) (F tptp.fun_Ho424838195e_bool) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool B) (tptp.hAPP_f726209793l_bool (tptp.image_1484638543e_bool F) A))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool B))))))
% 5.84/6.06 (assume a54 (forall ((B tptp.fun_pname_bool) (F tptp.fun_Ho713471079_pname) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 5.84/6.06 (assume a55 (forall ((B tptp.fun_fu1430349052l_bool) (F tptp.fun_pn800050071e_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (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))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B))))))
% 5.84/6.06 (assume a56 (forall ((B tptp.fun_fu1996308102l_bool) (F tptp.fun_pn1521100553e_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool B) (tptp.hAPP_f682249667l_bool (tptp.image_1637084625e_bool F) A))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool B))))))
% 5.84/6.06 (assume a57 (forall ((B tptp.fun_pname_bool) (F tptp.fun_pname_pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (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))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 5.84/6.06 (assume a58 (forall ((B tptp.fun_Ho320143120e_bool) (F tptp.fun_fu54631149_state) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) (tptp.hAPP_f1912490857e_bool (tptp.image_431763259_state F) A))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state B))))))
% 5.84/6.06 (assume a59 (forall ((B tptp.fun_Ho320143120e_bool) (F tptp.fun_fu700438391_state) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) (tptp.hAPP_f1180969799e_bool (tptp.image_2021386777_state F) A))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state B))))))
% 5.84/6.06 (assume a60 (forall ((B tptp.fun_pname_bool) (F tptp.fun_fu1499449723_pname) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (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))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 5.84/6.06 (assume a61 (forall ((B tptp.fun_pname_bool) (F tptp.fun_fu2380401_pname) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f1892738755e_bool (tptp.image_937015865_pname F) A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 5.84/6.06 (assume a62 (forall ((B tptp.fun_Ho320143120e_bool) (F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state B))))))
% 5.84/6.06 (assume a63 (forall ((A tptp.fun_pname_bool) (X_1 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))) (or (= A tptp.bot_bo844097828e_bool) (= A (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))))))
% 5.84/6.06 (assume a64 (forall ((A tptp.fun_com_bool) (X_1 tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool))) (or (= A tptp.bot_bot_fun_com_bool) (= A (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool))))))
% 5.84/6.06 (assume a65 (forall ((A tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool))) (or (= A tptp.bot_bo39439654e_bool) (= A (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool))))))
% 5.84/6.06 (assume a66 (forall ((C tptp.com)) (=> (tptp.hBOOL tptp.hoare_265376576gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))))))
% 5.84/6.06 (assume a67 (forall ((A_4 tptp.com)) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) tptp.bot_bot_fun_com_bool)))))
% 5.84/6.06 (assume a68 (forall ((A_4 tptp.hoare_363350478_state)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a69 (forall ((A_4 tptp.pname)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) tptp.bot_bo844097828e_bool)))))
% 5.84/6.06 (assume a70 (forall ((B_1 tptp.com) (A_4 tptp.com) (B tptp.fun_com_bool)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) B))) (= A_4 B_1)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com B_1) B))))))
% 5.84/6.06 (assume a71 (forall ((B_1 tptp.pname) (A_4 tptp.pname) (B tptp.fun_pname_bool)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) B))) (= A_4 B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) B))))))
% 5.84/6.06 (assume a72 (forall ((B_1 tptp.hoare_363350478_state) (A_4 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) B))) (= A_4 B_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state B_1) B))))))
% 5.84/6.06 (assume a73 (forall ((A_4 tptp.com) (B_1 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com B_1) A))) (=> (not (= A_4 B_1)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) A))))))
% 5.84/6.06 (assume a74 (forall ((A_4 tptp.pname) (B_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) A))) (=> (not (= A_4 B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) A))))))
% 5.84/6.06 (assume a75 (forall ((A_4 tptp.hoare_363350478_state) (B_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state B_1) A))) (=> (not (= A_4 B_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) A))))))
% 5.84/6.06 (assume a76 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A)) (= A B)))))
% 5.84/6.06 (assume a77 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) A)) (= A B)))))
% 5.84/6.06 (assume a78 (forall ((C tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B))))))
% 5.84/6.06 (assume a79 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B))))))
% 5.84/6.06 (assume a80 (forall ((C tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))))))
% 5.84/6.06 (assume a81 (forall ((A tptp.fun_Ho320143120e_bool) (B_1 tptp.com) (F tptp.fun_Ho938602221te_com) (X_1 tptp.hoare_363350478_state)) (=> (= B_1 (tptp.hAPP_H2142737465te_com F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com B_1) (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com F) A)))))))
% 5.84/6.06 (assume a82 (forall ((A tptp.fun_pname_bool) (B_1 tptp.com) (F tptp.fun_pname_com) (X_1 tptp.pname)) (=> (= B_1 (tptp.hAPP_pname_com F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com B_1) (tptp.hAPP_f1206115581m_bool (tptp.image_pname_com F) A)))))))
% 5.84/6.06 (assume a83 (forall ((A tptp.fun_com_bool) (B_1 tptp.hoare_363350478_state) (F tptp.fun_co482540593_state) (X_1 tptp.com)) (=> (= B_1 (tptp.hAPP_c1041435779_state F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state B_1) (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) A)))))))
% 5.84/6.06 (assume a84 (forall ((A tptp.fun_com_bool) (B_1 tptp.pname) (F tptp.fun_com_pname) (X_1 tptp.com)) (=> (= B_1 (tptp.hAPP_com_pname F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.hAPP_f1438183293e_bool (tptp.image_com_pname F) A)))))))
% 5.84/6.06 (assume a85 (forall ((A tptp.fun_pname_bool) (B_1 tptp.hoare_363350478_state) (F tptp.fun_pn1262351275_state) (X_1 tptp.pname)) (=> (= B_1 (tptp.hAPP_p1337579261_state F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state B_1) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)))))))
% 5.84/6.06 (assume a86 (forall ((A_4 tptp.com) (A tptp.fun_com_bool)) (=> (= A tptp.bot_bot_fun_com_bool) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) A))))))
% 5.84/6.06 (assume a87 (forall ((A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (= A tptp.bot_bo39439654e_bool) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) A))))))
% 5.84/6.06 (assume a88 (forall ((A_4 tptp.pname) (A tptp.fun_pname_bool)) (=> (= A tptp.bot_bo844097828e_bool) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) A))))))
% 5.84/6.06 (assume a89 (forall ((P_1 tptp.fun_pname_bool)) (= (= (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1) tptp.bot_bo844097828e_bool) (forall ((X_2 tptp.pname)) (not (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2)))))))
% 5.84/6.06 (assume a90 (forall ((P_1 tptp.fun_fu1430349052l_bool)) (= (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1) tptp.bot_bo1649642514l_bool) (forall ((X_2 tptp.fun_pname_bool)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 X_2)))))))
% 5.84/6.06 (assume a91 (forall ((P_1 tptp.fun_fu1996308102l_bool)) (= (= (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool P_1) tptp.bot_bo133096688l_bool) (forall ((X_2 tptp.fun_Ho320143120e_bool)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 X_2)))))))
% 5.84/6.06 (assume a92 (forall ((P_1 tptp.fun_com_bool)) (= (= (tptp.hAPP_f1682609283m_bool tptp.collect_com P_1) tptp.bot_bot_fun_com_bool) (forall ((X_2 tptp.com)) (not (tptp.hBOOL (tptp.hAPP_com_bool P_1 X_2)))))))
% 5.84/6.06 (assume a93 (forall ((P_1 tptp.fun_Ho320143120e_bool)) (= (= (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state P_1) tptp.bot_bo39439654e_bool) (forall ((X_2 tptp.hoare_363350478_state)) (not (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_2)))))))
% 5.84/6.06 (assume a94 (forall ((C tptp.com)) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) tptp.bot_bot_fun_com_bool)))))
% 5.84/6.06 (assume a95 (forall ((C tptp.hoare_363350478_state)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a96 (forall ((C tptp.pname)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) tptp.bot_bo844097828e_bool)))))
% 5.84/6.06 (assume a97 (forall ((P_1 tptp.fun_pname_bool)) (= (= tptp.bot_bo844097828e_bool (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1)) (forall ((X_2 tptp.pname)) (not (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2)))))))
% 5.84/6.06 (assume a98 (forall ((P_1 tptp.fun_fu1430349052l_bool)) (= (= tptp.bot_bo1649642514l_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1)) (forall ((X_2 tptp.fun_pname_bool)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 X_2)))))))
% 5.84/6.06 (assume a99 (forall ((P_1 tptp.fun_fu1996308102l_bool)) (= (= tptp.bot_bo133096688l_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool P_1)) (forall ((X_2 tptp.fun_Ho320143120e_bool)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 X_2)))))))
% 5.84/6.06 (assume a100 (forall ((P_1 tptp.fun_com_bool)) (= (= tptp.bot_bot_fun_com_bool (tptp.hAPP_f1682609283m_bool tptp.collect_com P_1)) (forall ((X_2 tptp.com)) (not (tptp.hBOOL (tptp.hAPP_com_bool P_1 X_2)))))))
% 5.84/6.06 (assume a101 (forall ((P_1 tptp.fun_Ho320143120e_bool)) (= (= tptp.bot_bo39439654e_bool (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state P_1)) (forall ((X_2 tptp.hoare_363350478_state)) (not (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_2)))))))
% 5.84/6.06 (assume a102 (forall ((A tptp.fun_com_bool)) (= (exists ((X_2 tptp.com)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) A))) (not (= A tptp.bot_bot_fun_com_bool)))))
% 5.84/6.06 (assume a103 (forall ((A tptp.fun_Ho320143120e_bool)) (= (exists ((X_2 tptp.hoare_363350478_state)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A))) (not (= A tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a104 (forall ((A tptp.fun_pname_bool)) (= (exists ((X_2 tptp.pname)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A))) (not (= A tptp.bot_bo844097828e_bool)))))
% 5.84/6.06 (assume a105 (forall ((A tptp.fun_com_bool)) (= (forall ((X_2 tptp.com)) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) A)))) (= A tptp.bot_bot_fun_com_bool))))
% 5.84/6.06 (assume a106 (forall ((A tptp.fun_Ho320143120e_bool)) (= (forall ((X_2 tptp.hoare_363350478_state)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)))) (= A tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a107 (forall ((A tptp.fun_pname_bool)) (= (forall ((X_2 tptp.pname)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)))) (= A tptp.bot_bo844097828e_bool))))
% 5.84/6.06 (assume a108 (= tptp.bot_bo844097828e_bool (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_b76515610e_bool tptp.cOMBK_bool_pname tptp.fFalse))))
% 5.84/6.06 (assume a109 (= tptp.bot_bo1649642514l_bool (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_b357632156l_bool tptp.cOMBK_1857069011e_bool tptp.fFalse))))
% 5.84/6.06 (assume a110 (= tptp.bot_bo133096688l_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_b1504838374l_bool tptp.cOMBK_1696036407e_bool tptp.fFalse))))
% 5.84/6.06 (assume a111 (= tptp.bot_bot_fun_com_bool (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_b1153789088m_bool tptp.cOMBK_bool_com tptp.fFalse))))
% 5.84/6.06 (assume a112 (= tptp.bot_bo39439654e_bool (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_b230077104e_bool tptp.cOMBK_574827367_state tptp.fFalse))))
% 5.84/6.06 (assume a113 (forall ((A_4 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) A)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) A) A))))
% 5.84/6.06 (assume a114 (forall ((A_4 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) A) A))))
% 5.84/6.06 (assume a115 (forall ((A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) A)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) A) A))))
% 5.84/6.06 (assume a116 (forall ((B_1 tptp.com) (A_4 tptp.com) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) B)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com B_1) B))))))
% 5.84/6.06 (assume a117 (forall ((B_1 tptp.pname) (A_4 tptp.pname) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) B))))))
% 5.84/6.06 (assume a118 (forall ((B_1 tptp.hoare_363350478_state) (A_4 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) B)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state B_1) B))))))
% 5.84/6.06 (assume a119 (forall ((B tptp.fun_com_bool) (X_1 tptp.com) (A tptp.fun_com_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A))) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) B))) (= (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) B)) (= A B))))))
% 5.84/6.06 (assume a120 (forall ((B tptp.fun_pname_bool) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (=> (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) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) B)) (= A B))))))
% 5.84/6.06 (assume a121 (forall ((B tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A))) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) B))) (= (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) B)) (= A B))))))
% 5.84/6.06 (assume a122 (forall ((Y_2 tptp.pname) (A tptp.fun_pname_bool) (X_1 tptp.pname)) (= (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname Y_2) A) X_1)) (or (= Y_2 X_1) (tptp.hBOOL (tptp.hAPP_pname_bool A X_1))))))
% 5.84/6.06 (assume a123 (forall ((Y_2 tptp.com) (A tptp.fun_com_bool) (X_1 tptp.com)) (= (tptp.hBOOL (tptp.hAPP_com_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com Y_2) A) X_1)) (or (= Y_2 X_1) (tptp.hBOOL (tptp.hAPP_com_bool A X_1))))))
% 5.84/6.06 (assume a124 (forall ((Y_2 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state)) (= (tptp.hBOOL (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state Y_2) A) X_1)) (or (= Y_2 X_1) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool A X_1))))))
% 5.84/6.06 (assume a125 (forall ((A_4 tptp.com) (B_1 tptp.com) (A tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com B_1) A))) (or (= A_4 B_1) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) A))))))
% 5.84/6.06 (assume a126 (forall ((A_4 tptp.pname) (B_1 tptp.pname) (A tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) A))) (or (= A_4 B_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) A))))))
% 5.84/6.06 (assume a127 (forall ((A_4 tptp.hoare_363350478_state) (B_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state B_1) A))) (or (= A_4 B_1) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) A))))))
% 5.84/6.06 (assume a128 (forall ((X_1 tptp.pname) (Y_2 tptp.pname) (A tptp.fun_pname_bool)) (= (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_2) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname Y_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)))))
% 5.84/6.06 (assume a129 (forall ((X_1 tptp.com) (Y_2 tptp.com) (A tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com Y_2) A)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com Y_2) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A)))))
% 5.84/6.06 (assume a130 (forall ((X_1 tptp.hoare_363350478_state) (Y_2 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state Y_2) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state Y_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A)))))
% 5.84/6.06 (assume a131 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (= (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)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A))))
% 5.84/6.06 (assume a132 (forall ((X_1 tptp.com) (A tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A))))
% 5.84/6.06 (assume a133 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A))))
% 5.84/6.06 (assume a134 (forall ((A_4 tptp.pname) (P_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) (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_4)))) P_1)))))
% 5.84/6.06 (assume a135 (forall ((A_4 tptp.com) (P_1 tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) (tptp.hAPP_f1682609283m_bool tptp.collect_com P_1)) (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com tptp.fimplies) (tptp.hAPP_f1682609283m_bool (tptp.cOMBB_bool_bool_com tptp.fNot) (tptp.hAPP_c1396316405m_bool (tptp.hAPP_f908845385m_bool tptp.cOMBC_com_com_bool tptp.fequal_com) A_4)))) P_1)))))
% 5.84/6.06 (assume a136 (forall ((A_4 tptp.fun_pname_bool) (P_1 tptp.fun_fu1430349052l_bool)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) (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_4)))) P_1)))))
% 5.84/6.06 (assume a137 (forall ((A_4 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_fu1996308102l_bool)) (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool P_1)) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fimplies) (tptp.hAPP_f85652879l_bool (tptp.cOMBB_941362220e_bool tptp.fNot) (tptp.hAPP_f726209793l_bool (tptp.hAPP_f205303905l_bool tptp.cOMBC_1250231770l_bool tptp.fequal731041167e_bool) A_4)))) P_1)))))
% 5.84/6.06 (assume a138 (forall ((A_4 tptp.hoare_363350478_state) (P_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state P_1)) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fimplies) (tptp.hAPP_f1749453397e_bool (tptp.cOMBB_2059354034_state tptp.fNot) (tptp.hAPP_H705653759e_bool (tptp.hAPP_f114072425e_bool tptp.cOMBC_13083556e_bool tptp.fequal1026769423_state) A_4)))) P_1)))))
% 5.84/6.06 (assume a139 (forall ((A_4 tptp.com) (B tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B) (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com tptp.fdisj) (tptp.hAPP_c1396316405m_bool (tptp.hAPP_f908845385m_bool tptp.cOMBC_com_com_bool tptp.fequal_com) A_4))) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) B))))))
% 5.84/6.06 (assume a140 (forall ((A_4 tptp.fun_pname_bool) (B tptp.fun_fu1430349052l_bool)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) 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_4))) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) B))))))
% 5.84/6.06 (assume a141 (forall ((A_4 tptp.fun_Ho320143120e_bool) (B tptp.fun_fu1996308102l_bool)) (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) B) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fdisj) (tptp.hAPP_f726209793l_bool (tptp.hAPP_f205303905l_bool tptp.cOMBC_1250231770l_bool tptp.fequal731041167e_bool) A_4))) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1854331281l_bool tptp.cOMBC_1522409444l_bool tptp.member1534059107e_bool) B))))))
% 5.84/6.06 (assume a142 (forall ((A_4 tptp.pname) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) 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_4))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) B))))))
% 5.84/6.06 (assume a143 (forall ((A_4 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fdisj) (tptp.hAPP_H705653759e_bool (tptp.hAPP_f114072425e_bool tptp.cOMBC_13083556e_bool tptp.fequal1026769423_state) A_4))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) B))))))
% 5.84/6.06 (assume a144 (forall ((A_4 tptp.com) (B tptp.fun_com_bool)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)))))
% 5.84/6.06 (assume a145 (forall ((A_4 tptp.pname) (B tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B)))))
% 5.84/6.06 (assume a146 (forall ((A_4 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)))))
% 5.84/6.06 (assume a147 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (= A B) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A))))))))
% 5.84/6.06 (assume a148 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (= A B) (not (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) A))))))))
% 5.84/6.06 (assume a149 (forall ((C_1 tptp.fun_pname_bool) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) 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) C_1))))))
% 5.84/6.06 (assume a150 (forall ((C_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) C_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) C_1))))))
% 5.84/6.06 (assume a151 (forall ((X_1 tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) B))))))
% 5.84/6.06 (assume a152 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) B))))))
% 5.84/6.06 (assume a153 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))))))
% 5.84/6.06 (assume a154 (forall ((B tptp.fun_com_bool) (X_1 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) B)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) B))))))
% 5.84/6.06 (assume a155 (forall ((B tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) B))))))
% 5.84/6.06 (assume a156 (forall ((B tptp.fun_pname_bool) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))))))
% 5.84/6.06 (assume a157 (forall ((X_1 tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) B))))))
% 5.84/6.06 (assume a158 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) B))))))
% 5.84/6.06 (assume a159 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))))))
% 5.84/6.06 (assume a160 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A)))))
% 5.84/6.06 (assume a161 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) A)))))
% 5.84/6.06 (assume a162 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)))))
% 5.84/6.06 (assume a163 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)))))
% 5.84/6.06 (assume a164 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (= A B) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A))))))
% 5.84/6.06 (assume a165 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (= A B) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) A))))))
% 5.84/6.06 (assume a166 (forall ((A tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) A))))
% 5.84/6.06 (assume a167 (forall ((A tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) A))))
% 5.84/6.06 (assume a168 (forall ((B_1 tptp.com) (F tptp.fun_Ho938602221te_com) (X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (=> (= B_1 (tptp.hAPP_H2142737465te_com F X_1)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com B_1) (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com F) A)))))))
% 5.84/6.06 (assume a169 (forall ((B_1 tptp.com) (F tptp.fun_pname_com) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (=> (= B_1 (tptp.hAPP_pname_com F X_1)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com B_1) (tptp.hAPP_f1206115581m_bool (tptp.image_pname_com F) A)))))))
% 5.84/6.06 (assume a170 (forall ((B_1 tptp.hoare_363350478_state) (F tptp.fun_co482540593_state) (X_1 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (=> (= B_1 (tptp.hAPP_c1041435779_state F X_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state B_1) (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) A)))))))
% 5.84/6.06 (assume a171 (forall ((B_1 tptp.pname) (F tptp.fun_com_pname) (X_1 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (=> (= B_1 (tptp.hAPP_com_pname F X_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.hAPP_f1438183293e_bool (tptp.image_com_pname F) A)))))))
% 5.84/6.06 (assume a172 (forall ((B_1 tptp.hoare_363350478_state) (F tptp.fun_pn1262351275_state) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (=> (= B_1 (tptp.hAPP_p1337579261_state F X_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state B_1) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)))))))
% 5.84/6.06 (assume a173 (forall ((F tptp.fun_Ho938602221te_com) (X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com (tptp.hAPP_H2142737465te_com F X_1)) (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com F) A))))))
% 5.84/6.06 (assume a174 (forall ((F tptp.fun_pname_com) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com (tptp.hAPP_pname_com F X_1)) (tptp.hAPP_f1206115581m_bool (tptp.image_pname_com F) A))))))
% 5.84/6.06 (assume a175 (forall ((F tptp.fun_co482540593_state) (X_1 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state (tptp.hAPP_c1041435779_state F X_1)) (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) A))))))
% 5.84/6.06 (assume a176 (forall ((F tptp.fun_com_pname) (X_1 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_com_pname F X_1)) (tptp.hAPP_f1438183293e_bool (tptp.image_com_pname F) A))))))
% 5.84/6.06 (assume a177 (forall ((F tptp.fun_pn1262351275_state) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state (tptp.hAPP_p1337579261_state F X_1)) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A))))))
% 5.84/6.06 (assume a178 (forall ((Z tptp.hoare_363350478_state) (F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state Z) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A))) (exists ((X_2 tptp.pname)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (= Z (tptp.hAPP_p1337579261_state F X_2)))))))
% 5.84/6.06 (assume a179 (forall ((P_1 tptp.fun_fu1430349052l_bool) (Q_1 tptp.fun_fu1430349052l_bool)) (= (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)))))))
% 5.84/6.06 (assume a180 (forall ((P_1 tptp.fun_fu1996308102l_bool) (Q_1 tptp.fun_fu1996308102l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fdisj) P_1)) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool P_1))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool Q_1)))))))
% 5.84/6.06 (assume a181 (forall ((P_1 tptp.fun_Ho320143120e_bool) (Q_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fdisj) P_1)) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state P_1))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state Q_1)))))))
% 5.84/6.06 (assume a182 (forall ((P_1 tptp.fun_pname_bool) (Q_1 tptp.fun_pname_bool)) (= (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)))))))
% 5.84/6.06 (assume a183 (forall ((X_2 tptp.com) (Xa tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_2) Xa) (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com tptp.fdisj) (tptp.hAPP_c1396316405m_bool (tptp.hAPP_f908845385m_bool tptp.cOMBC_com_com_bool tptp.fequal_com) X_2))) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) Xa))))))
% 5.84/6.06 (assume a184 (forall ((X_2 tptp.fun_pname_bool) (Xa tptp.fun_fu1430349052l_bool)) (= (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))))))
% 5.84/6.06 (assume a185 (forall ((X_2 tptp.fun_Ho320143120e_bool) (Xa tptp.fun_fu1996308102l_bool)) (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_2) Xa) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fdisj) (tptp.hAPP_f726209793l_bool (tptp.hAPP_f205303905l_bool tptp.cOMBC_1250231770l_bool tptp.fequal731041167e_bool) X_2))) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1854331281l_bool tptp.cOMBC_1522409444l_bool tptp.member1534059107e_bool) Xa))))))
% 5.84/6.06 (assume a186 (forall ((X_2 tptp.pname) (Xa tptp.fun_pname_bool)) (= (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))))))
% 5.84/6.06 (assume a187 (forall ((X_2 tptp.hoare_363350478_state) (Xa tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_2) Xa) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fdisj) (tptp.hAPP_H705653759e_bool (tptp.hAPP_f114072425e_bool tptp.cOMBC_13083556e_bool tptp.fequal1026769423_state) X_2))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) Xa))))))
% 5.84/6.06 (assume a188 (forall ((A_4 tptp.pname) (B_1 tptp.pname)) (=> (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) tptp.bot_bo844097828e_bool) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) tptp.bot_bo844097828e_bool)) (= A_4 B_1))))
% 5.84/6.06 (assume a189 (forall ((A_4 tptp.com) (B_1 tptp.com)) (=> (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) tptp.bot_bot_fun_com_bool) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com B_1) tptp.bot_bot_fun_com_bool)) (= A_4 B_1))))
% 5.84/6.06 (assume a190 (forall ((A_4 tptp.hoare_363350478_state) (B_1 tptp.hoare_363350478_state)) (=> (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state B_1) tptp.bot_bo39439654e_bool)) (= A_4 B_1))))
% 5.84/6.06 (assume a191 (forall ((B_1 tptp.com) (A_4 tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com B_1) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) tptp.bot_bot_fun_com_bool))) (= B_1 A_4))))
% 5.84/6.06 (assume a192 (forall ((B_1 tptp.pname) (A_4 tptp.pname)) (=> (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_4) tptp.bot_bo844097828e_bool))) (= B_1 A_4))))
% 5.84/6.06 (assume a193 (forall ((B_1 tptp.hoare_363350478_state) (A_4 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state B_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) tptp.bot_bo39439654e_bool))) (= B_1 A_4))))
% 5.84/6.06 (assume a194 (forall ((A_4 tptp.pname) (B_1 tptp.pname) (C tptp.pname) (D_1 tptp.pname)) (= (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) (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_1) tptp.bot_bo844097828e_bool))) (or (and (= A_4 C) (= B_1 D_1)) (and (= A_4 D_1) (= B_1 C))))))
% 5.84/6.06 (assume a195 (forall ((A_4 tptp.com) (B_1 tptp.com) (C tptp.com) (D_1 tptp.com)) (= (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com B_1) tptp.bot_bot_fun_com_bool)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com D_1) tptp.bot_bot_fun_com_bool))) (or (and (= A_4 C) (= B_1 D_1)) (and (= A_4 D_1) (= B_1 C))))))
% 5.84/6.06 (assume a196 (forall ((A_4 tptp.hoare_363350478_state) (B_1 tptp.hoare_363350478_state) (C tptp.hoare_363350478_state) (D_1 tptp.hoare_363350478_state)) (= (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state B_1) tptp.bot_bo39439654e_bool)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state D_1) tptp.bot_bo39439654e_bool))) (or (and (= A_4 C) (= B_1 D_1)) (and (= A_4 D_1) (= B_1 C))))))
% 5.84/6.06 (assume a197 (forall ((B_1 tptp.com) (A_4 tptp.com)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com B_1) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) tptp.bot_bot_fun_com_bool))) (= B_1 A_4))))
% 5.84/6.06 (assume a198 (forall ((B_1 tptp.pname) (A_4 tptp.pname)) (= (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_4) tptp.bot_bo844097828e_bool))) (= B_1 A_4))))
% 5.84/6.06 (assume a199 (forall ((B_1 tptp.hoare_363350478_state) (A_4 tptp.hoare_363350478_state)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state B_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) tptp.bot_bo39439654e_bool))) (= B_1 A_4))))
% 5.84/6.06 (assume a200 (forall ((A_4 tptp.pname) (A tptp.fun_pname_bool)) (not (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) A) tptp.bot_bo844097828e_bool))))
% 5.84/6.06 (assume a201 (forall ((A_4 tptp.com) (A tptp.fun_com_bool)) (not (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) A) tptp.bot_bot_fun_com_bool))))
% 5.84/6.06 (assume a202 (forall ((A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (not (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) A) tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a203 (forall ((A_4 tptp.pname) (A tptp.fun_pname_bool)) (not (= tptp.bot_bo844097828e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) A)))))
% 5.84/6.06 (assume a204 (forall ((A_4 tptp.com) (A tptp.fun_com_bool)) (not (= tptp.bot_bot_fun_com_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) A)))))
% 5.84/6.06 (assume a205 (forall ((A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (not (= tptp.bot_bo39439654e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) A)))))
% 5.84/6.06 (assume a206 (forall ((A_4 tptp.com) (A tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) A))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)))))
% 5.84/6.06 (assume a207 (forall ((A_4 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) A))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)))))
% 5.84/6.06 (assume a208 (forall ((A_4 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) A))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)))))
% 5.84/6.06 (assume a209 (forall ((A_4 tptp.pname) (A tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)))))
% 5.84/6.06 (assume a210 (forall ((A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) A))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)))))
% 5.84/6.06 (assume a211 (forall ((A tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) tptp.bot_bo844097828e_bool)) (= A tptp.bot_bo844097828e_bool))))
% 5.84/6.06 (assume a212 (forall ((A tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) tptp.bot_bot_fun_com_bool)) (= A tptp.bot_bot_fun_com_bool))))
% 5.84/6.06 (assume a213 (forall ((A tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) tptp.bot_bo39439654e_bool)) (= A tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a214 (forall ((F tptp.fun_co482540593_state) (A tptp.fun_com_bool)) (= (= (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) A) tptp.bot_bo39439654e_bool) (= A tptp.bot_bot_fun_com_bool))))
% 5.84/6.06 (assume a215 (forall ((F tptp.fun_Ho713471079_pname) (A tptp.fun_Ho320143120e_bool)) (= (= (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) A) tptp.bot_bo844097828e_bool) (= A tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a216 (forall ((F tptp.fun_Ho938602221te_com) (A tptp.fun_Ho320143120e_bool)) (= (= (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com F) A) tptp.bot_bot_fun_com_bool) (= A tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a217 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool)) (= (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A) tptp.bot_bo39439654e_bool) (= A tptp.bot_bo844097828e_bool))))
% 5.84/6.06 (assume a218 (forall ((F tptp.fun_Ho713471079_pname)) (= (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) tptp.bot_bo39439654e_bool) tptp.bot_bo844097828e_bool)))
% 5.84/6.06 (assume a219 (forall ((F tptp.fun_Ho938602221te_com)) (= (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com F) tptp.bot_bo39439654e_bool) tptp.bot_bot_fun_com_bool)))
% 5.84/6.06 (assume a220 (forall ((F tptp.fun_co482540593_state)) (= (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) tptp.bot_bot_fun_com_bool) tptp.bot_bo39439654e_bool)))
% 5.84/6.06 (assume a221 (forall ((F tptp.fun_pn1262351275_state)) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) tptp.bot_bo844097828e_bool) tptp.bot_bo39439654e_bool)))
% 5.84/6.06 (assume a222 (forall ((F tptp.fun_co482540593_state) (A tptp.fun_com_bool)) (= (= tptp.bot_bo39439654e_bool (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) A)) (= A tptp.bot_bot_fun_com_bool))))
% 5.84/6.06 (assume a223 (forall ((F tptp.fun_Ho713471079_pname) (A tptp.fun_Ho320143120e_bool)) (= (= tptp.bot_bo844097828e_bool (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) A)) (= A tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a224 (forall ((F tptp.fun_Ho938602221te_com) (A tptp.fun_Ho320143120e_bool)) (= (= tptp.bot_bot_fun_com_bool (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com F) A)) (= A tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a225 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool)) (= (= tptp.bot_bo39439654e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)) (= A tptp.bot_bo844097828e_bool))))
% 5.84/6.06 (assume a226 (forall ((A tptp.fun_fu1430349052l_bool) (B tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A))))))
% 5.84/6.06 (assume a227 (forall ((A tptp.fun_fu1996308102l_bool) (B tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool B)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A))))))
% 5.84/6.06 (assume a228 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state B)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A))))))
% 5.84/6.06 (assume a229 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))))))
% 5.84/6.06 (assume a230 (forall ((A tptp.fun_fu1430349052l_bool) (B tptp.fun_fu1430349052l_bool)) (=> (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) B)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A))))))
% 5.84/6.06 (assume a231 (forall ((A tptp.fun_fu1996308102l_bool) (B tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A))))))
% 5.84/6.06 (assume a232 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state B)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A))))))
% 5.84/6.06 (assume a233 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (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) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))))))
% 5.84/6.06 (assume a234 (forall ((A_4 tptp.pname) (C_1 tptp.fun_pname_bool) (D tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_1) D)) (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_4) C_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) D))))))
% 5.84/6.06 (assume a235 (forall ((A_4 tptp.com) (C_1 tptp.fun_com_bool) (D tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool C_1) D)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) C_1)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) D))))))
% 5.84/6.06 (assume a236 (forall ((A_4 tptp.hoare_363350478_state) (C_1 tptp.fun_Ho320143120e_bool) (D tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C_1) D)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) C_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) D))))))
% 5.84/6.06 (assume a237 (forall ((X_1 tptp.com) (A tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (tptp.hBOOL (tptp.hAPP_com_bool A X_1)))))
% 5.84/6.06 (assume a238 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool A X_1)))))
% 5.84/6.06 (assume a239 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_pname_bool A X_1)))))
% 5.84/6.06 (assume a240 (forall ((P_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state P_1) P_1)))
% 5.84/6.06 (assume a241 (forall ((P_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool tptp.collect_pname P_1) P_1)))
% 5.84/6.06 (assume a242 (forall ((P_1 tptp.fun_fu1430349052l_bool)) (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool P_1) P_1)))
% 5.84/6.06 (assume a243 (forall ((P_1 tptp.fun_fu1996308102l_bool)) (= (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool P_1) P_1)))
% 5.84/6.06 (assume a244 (forall ((B_1 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) B))))))
% 5.84/6.06 (assume a245 (forall ((B_1 tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) B)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com B_1) B))))))
% 5.84/6.06 (assume a246 (forall ((B_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state B_1) B))))))
% 5.84/6.06 (assume a247 (forall ((B tptp.fun_com_bool) (X_1 tptp.com) (A tptp.fun_com_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A))) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) B))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) B))))))
% 5.84/6.06 (assume a248 (forall ((B tptp.fun_pname_bool) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (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) B))))))
% 5.84/6.06 (assume a249 (forall ((B tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A))) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) B))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B))))))
% 5.84/6.06 (assume a250 (forall ((X_1 tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) B)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) B))))))
% 5.84/6.06 (assume a251 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (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)) 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) B))))))
% 5.84/6.06 (assume a252 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) B)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B))))))
% 5.84/6.06 (assume a253 (forall ((B tptp.fun_pname_bool) (A_4 tptp.pname)) (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_4) B)))))
% 5.84/6.06 (assume a254 (forall ((B tptp.fun_com_bool) (A_4 tptp.com)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool B) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)))))
% 5.84/6.06 (assume a255 (forall ((B tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)))))
% 5.84/6.06 (assume a256 (forall ((F tptp.fun_Ho713471079_pname) (X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname (tptp.hAPP_H1346202419_pname F X_1)) (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) A)) (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) A)))))
% 5.84/6.06 (assume a257 (forall ((F tptp.fun_Ho938602221te_com) (X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com (tptp.hAPP_H2142737465te_com F X_1)) (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com F) A)) (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com F) A)))))
% 5.84/6.06 (assume a258 (forall ((F tptp.fun_pname_pname) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname (tptp.hAPP_pname_pname F X_1)) (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname F) A)) (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname F) A)))))
% 5.84/6.06 (assume a259 (forall ((F tptp.fun_pname_com) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com (tptp.hAPP_pname_com F X_1)) (tptp.hAPP_f1206115581m_bool (tptp.image_pname_com F) A)) (tptp.hAPP_f1206115581m_bool (tptp.image_pname_com F) A)))))
% 5.84/6.06 (assume a260 (forall ((F tptp.fun_co482540593_state) (X_1 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state F X_1)) (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) A)) (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) A)))))
% 5.84/6.06 (assume a261 (forall ((F tptp.fun_pn1262351275_state) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_p1337579261_state F X_1)) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)))))
% 5.84/6.06 (assume a262 (forall ((F tptp.fun_Ho713471079_pname) (A_4 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname (tptp.hAPP_H1346202419_pname F A_4)) (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) B)))))
% 5.84/6.06 (assume a263 (forall ((F tptp.fun_Ho938602221te_com) (A_4 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com F) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com (tptp.hAPP_H2142737465te_com F A_4)) (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com F) B)))))
% 5.84/6.06 (assume a264 (forall ((F tptp.fun_co482540593_state) (A_4 tptp.com) (B tptp.fun_com_bool)) (= (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state F A_4)) (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) B)))))
% 5.84/6.06 (assume a265 (forall ((F tptp.fun_pn1262351275_state) (A_4 tptp.pname) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_p1337579261_state F A_4)) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) B)))))
% 5.84/6.06 (assume a266 (forall ((F tptp.fun_Ho713471079_pname) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) A)) (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) B))))))
% 5.84/6.06 (assume a267 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) B))))))
% 5.84/6.06 (assume a268 (forall ((B tptp.fun_pname_bool) (F tptp.fun_Ho713471079_pname) (A tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) A))) (exists ((AA tptp.fun_Ho320143120e_bool)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool AA) A)) (= B (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) AA)))))))
% 5.84/6.06 (assume a269 (forall ((B tptp.fun_Ho320143120e_bool) (F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A))) (exists ((AA tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool AA) A)) (= B (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) AA)))))))
% 5.84/6.06 (assume a270 (forall ((M tptp.fun_com_option_com) (A_4 tptp.com) (B_1 tptp.com)) (=> (= (tptp.hAPP_com_option_com M A_4) (tptp.hAPP_com_option_com tptp.some_com B_1)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) (tptp.dom_com_com M))))))
% 5.84/6.06 (assume a271 (forall ((M tptp.fun_Ho12798188_pname) (A_4 tptp.hoare_363350478_state) (B_1 tptp.pname)) (=> (= (tptp.hAPP_H134270346_pname M A_4) (tptp.hAPP_p1252095976_pname tptp.some_pname B_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) (tptp.dom_Ho75493366_pname M))))))
% 5.84/6.06 (assume a272 (forall ((M tptp.fun_Ho382349394_state) (A_4 tptp.hoare_363350478_state) (B_1 tptp.hoare_363350478_state)) (=> (= (tptp.hAPP_H1942146718_state M A_4) (tptp.hAPP_H1942146718_state tptp.some_H629028223_state B_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) (tptp.dom_Ho867270556_state M))))))
% 5.84/6.06 (assume a273 (forall ((M tptp.fun_pn1342468758_pname) (A_4 tptp.pname) (B_1 tptp.pname)) (=> (= (tptp.hAPP_p1252095976_pname M A_4) (tptp.hAPP_p1252095976_pname tptp.some_pname B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) (tptp.dom_pname_pname M))))))
% 5.84/6.06 (assume a274 (forall ((M tptp.fun_pn1405249832_state) (A_4 tptp.pname) (B_1 tptp.hoare_363350478_state)) (=> (= (tptp.hAPP_p1737106368_state M A_4) (tptp.hAPP_H1942146718_state tptp.some_H629028223_state B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) (tptp.dom_pn66870208_state M))))))
% 5.84/6.06 (assume a275 (forall ((M tptp.fun_pname_option_com) (A_4 tptp.pname) (B_1 tptp.com)) (=> (= (tptp.hAPP_p799580910on_com M A_4) (tptp.hAPP_com_option_com tptp.some_com B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) (tptp.dom_pname_com M))))))
% 5.84/6.06 (assume a276 (forall ((P_1 tptp.fun_pname_bool) (A_4 tptp.pname)) (and (=> (tptp.hBOOL (tptp.hAPP_pname_bool P_1 A_4)) (= (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_4))) P_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) tptp.bot_bo844097828e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_pname_bool P_1 A_4))) (= (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_4))) P_1)) tptp.bot_bo844097828e_bool)))))
% 5.84/6.06 (assume a277 (forall ((P_1 tptp.fun_com_bool) (A_4 tptp.com)) (and (=> (tptp.hBOOL (tptp.hAPP_com_bool P_1 A_4)) (= (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com tptp.fconj) (tptp.hAPP_c1396316405m_bool (tptp.hAPP_f908845385m_bool tptp.cOMBC_com_com_bool tptp.fequal_com) A_4))) P_1)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) tptp.bot_bot_fun_com_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_com_bool P_1 A_4))) (= (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com tptp.fconj) (tptp.hAPP_c1396316405m_bool (tptp.hAPP_f908845385m_bool tptp.cOMBC_com_com_bool tptp.fequal_com) A_4))) P_1)) tptp.bot_bot_fun_com_bool)))))
% 5.84/6.06 (assume a278 (forall ((P_1 tptp.fun_fu1430349052l_bool) (A_4 tptp.fun_pname_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A_4)) (= (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_4))) P_1)) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) tptp.bot_bo1649642514l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A_4))) (= (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_4))) P_1)) tptp.bot_bo1649642514l_bool)))))
% 5.84/6.06 (assume a279 (forall ((P_1 tptp.fun_fu1996308102l_bool) (A_4 tptp.fun_Ho320143120e_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 A_4)) (= (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fconj) (tptp.hAPP_f726209793l_bool (tptp.hAPP_f205303905l_bool tptp.cOMBC_1250231770l_bool tptp.fequal731041167e_bool) A_4))) P_1)) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) tptp.bot_bo133096688l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 A_4))) (= (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fconj) (tptp.hAPP_f726209793l_bool (tptp.hAPP_f205303905l_bool tptp.cOMBC_1250231770l_bool tptp.fequal731041167e_bool) A_4))) P_1)) tptp.bot_bo133096688l_bool)))))
% 5.84/6.06 (assume a280 (forall ((P_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state)) (and (=> (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 A_4)) (= (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fconj) (tptp.hAPP_H705653759e_bool (tptp.hAPP_f114072425e_bool tptp.cOMBC_13083556e_bool tptp.fequal1026769423_state) A_4))) P_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) tptp.bot_bo39439654e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 A_4))) (= (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fconj) (tptp.hAPP_H705653759e_bool (tptp.hAPP_f114072425e_bool tptp.cOMBC_13083556e_bool tptp.fequal1026769423_state) A_4))) P_1)) tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a281 (forall ((P_1 tptp.fun_pname_bool) (A_4 tptp.pname)) (and (=> (tptp.hBOOL (tptp.hAPP_pname_bool P_1 A_4)) (= (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_4))) P_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) tptp.bot_bo844097828e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_pname_bool P_1 A_4))) (= (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_4))) P_1)) tptp.bot_bo844097828e_bool)))))
% 5.84/6.06 (assume a282 (forall ((P_1 tptp.fun_com_bool) (A_4 tptp.com)) (and (=> (tptp.hBOOL (tptp.hAPP_com_bool P_1 A_4)) (= (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com tptp.fconj) (tptp.hAPP_c1396316405m_bool tptp.fequal_com A_4))) P_1)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) tptp.bot_bot_fun_com_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_com_bool P_1 A_4))) (= (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com tptp.fconj) (tptp.hAPP_c1396316405m_bool tptp.fequal_com A_4))) P_1)) tptp.bot_bot_fun_com_bool)))))
% 5.84/6.06 (assume a283 (forall ((P_1 tptp.fun_fu1430349052l_bool) (A_4 tptp.fun_pname_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A_4)) (= (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_4))) P_1)) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) tptp.bot_bo1649642514l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A_4))) (= (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_4))) P_1)) tptp.bot_bo1649642514l_bool)))))
% 5.84/6.06 (assume a284 (forall ((P_1 tptp.fun_fu1996308102l_bool) (A_4 tptp.fun_Ho320143120e_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 A_4)) (= (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fconj) (tptp.hAPP_f726209793l_bool tptp.fequal731041167e_bool A_4))) P_1)) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) tptp.bot_bo133096688l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 A_4))) (= (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fconj) (tptp.hAPP_f726209793l_bool tptp.fequal731041167e_bool A_4))) P_1)) tptp.bot_bo133096688l_bool)))))
% 5.84/6.06 (assume a285 (forall ((P_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state)) (and (=> (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 A_4)) (= (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fconj) (tptp.hAPP_H705653759e_bool tptp.fequal1026769423_state A_4))) P_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) tptp.bot_bo39439654e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 A_4))) (= (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fconj) (tptp.hAPP_H705653759e_bool tptp.fequal1026769423_state A_4))) P_1)) tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a286 (forall ((A_4 tptp.pname)) (= (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_p61793385e_bool (tptp.hAPP_f22061361e_bool tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A_4)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) tptp.bot_bo844097828e_bool))))
% 5.84/6.06 (assume a287 (forall ((A_4 tptp.com)) (= (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_c1396316405m_bool (tptp.hAPP_f908845385m_bool tptp.cOMBC_com_com_bool tptp.fequal_com) A_4)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) tptp.bot_bot_fun_com_bool))))
% 5.84/6.06 (assume a288 (forall ((A_4 tptp.fun_pname_bool)) (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.hAPP_f1297925993l_bool tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A_4)) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) tptp.bot_bo1649642514l_bool))))
% 5.84/6.06 (assume a289 (forall ((A_4 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f726209793l_bool (tptp.hAPP_f205303905l_bool tptp.cOMBC_1250231770l_bool tptp.fequal731041167e_bool) A_4)) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) tptp.bot_bo133096688l_bool))))
% 5.84/6.06 (assume a290 (forall ((A_4 tptp.hoare_363350478_state)) (= (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_H705653759e_bool (tptp.hAPP_f114072425e_bool tptp.cOMBC_13083556e_bool tptp.fequal1026769423_state) A_4)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a291 (forall ((A_4 tptp.pname)) (= (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_p61793385e_bool tptp.fequal_pname A_4)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) tptp.bot_bo844097828e_bool))))
% 5.84/6.06 (assume a292 (forall ((A_4 tptp.com)) (= (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_c1396316405m_bool tptp.fequal_com A_4)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) tptp.bot_bot_fun_com_bool))))
% 5.84/6.06 (assume a293 (forall ((A_4 tptp.fun_pname_bool)) (= (tptp.hAPP_f559147733l_bool tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool A_4)) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) tptp.bot_bo1649642514l_bool))))
% 5.84/6.06 (assume a294 (forall ((A_4 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f726209793l_bool tptp.fequal731041167e_bool A_4)) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) tptp.bot_bo133096688l_bool))))
% 5.84/6.06 (assume a295 (forall ((A_4 tptp.hoare_363350478_state)) (= (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_H705653759e_bool tptp.fequal1026769423_state A_4)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a296 (forall ((C tptp.com) (G_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL tptp.hoare_265376576gleton) (=> (forall ((X_2 tptp.pname)) (=> (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_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_pname_com tptp.body_1 X_2))) tptp.bot_bo39439654e_bool))))) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))))))
% 5.84/6.06 (assume a297 (forall ((Pn tptp.pname) (B_4 tptp.com)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))))
% 5.84/6.06 (assume a298 (forall ((B_1 tptp.hoare_363350478_state) (F tptp.fun_co482540593_state) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state B_1) (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) A))) (not (forall ((X_2 tptp.com)) (=> (= B_1 (tptp.hAPP_c1041435779_state F X_2)) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) A)))))))))
% 5.84/6.06 (assume a299 (forall ((B_1 tptp.pname) (F tptp.fun_com_pname) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.hAPP_f1438183293e_bool (tptp.image_com_pname F) A))) (not (forall ((X_2 tptp.com)) (=> (= B_1 (tptp.hAPP_com_pname F X_2)) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) A)))))))))
% 5.84/6.06 (assume a300 (forall ((B_1 tptp.com) (F tptp.fun_Ho938602221te_com) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com B_1) (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com F) A))) (not (forall ((X_2 tptp.hoare_363350478_state)) (=> (= B_1 (tptp.hAPP_H2142737465te_com F X_2)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)))))))))
% 5.84/6.06 (assume a301 (forall ((B_1 tptp.com) (F tptp.fun_pname_com) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com B_1) (tptp.hAPP_f1206115581m_bool (tptp.image_pname_com F) A))) (not (forall ((X_2 tptp.pname)) (=> (= B_1 (tptp.hAPP_pname_com F X_2)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)))))))))
% 5.84/6.06 (assume a302 (forall ((B_1 tptp.hoare_363350478_state) (F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state B_1) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A))) (not (forall ((X_2 tptp.pname)) (=> (= B_1 (tptp.hAPP_p1337579261_state F X_2)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)))))))))
% 5.84/6.06 (assume a303 (forall ((P_1 tptp.fun_fu1362071682l_bool) (A tptp.fun_com_bool) (Fa tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool Fa) A)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 tptp.bot_bot_fun_com_bool)) (=> (forall ((A_2 tptp.com) (F_2 tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com F_2)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_2) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 Fa))))))))
% 5.84/6.06 (assume a304 (forall ((P_1 tptp.fun_fu399576434l_bool) (A tptp.fun_fu1430349052l_bool) (Fa tptp.fun_fu1430349052l_bool)) (=> (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)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 tptp.bot_bo1649642514l_bool)) (=> (forall ((A_2 tptp.fun_pname_bool) (F_2 tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_2)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_2) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 Fa))))))))
% 5.84/6.06 (assume a305 (forall ((P_1 tptp.fun_fu1972704968l_bool) (A tptp.fun_fu1996308102l_bool) (Fa tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool Fa) A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 tptp.bot_bo133096688l_bool)) (=> (forall ((A_2 tptp.fun_Ho320143120e_bool) (F_2 tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool F_2)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool A_2) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool A_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 Fa))))))))
% 5.84/6.06 (assume a306 (forall ((P_1 tptp.fun_fu1430349052l_bool) (A tptp.fun_pname_bool) (Fa tptp.fun_pname_bool)) (=> (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)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 tptp.bot_bo844097828e_bool)) (=> (forall ((A_2 tptp.pname) (F_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 Fa))))))))
% 5.84/6.06 (assume a307 (forall ((P_1 tptp.fun_fu1996308102l_bool) (A tptp.fun_Ho320143120e_bool) (Fa tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Fa) A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 tptp.bot_bo39439654e_bool)) (=> (forall ((A_2 tptp.hoare_363350478_state) (F_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state F_2)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_2) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 Fa))))))))
% 5.84/6.06 (assume a308 (forall ((P tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt (tptp.hAPP_pname_com tptp.body_1 P))) (not (forall ((Y_3 tptp.com)) (not (= (tptp.hAPP_p799580910on_com tptp.body P) (tptp.hAPP_com_option_com tptp.some_com Y_3))))))))
% 5.84/6.06 (assume a309 (forall ((B tptp.fun_com_bool) (A tptp.fun_com_bool)) (=> (forall ((X_2 tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) B)))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) B)))))
% 5.84/6.06 (assume a310 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool)) (=> (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) B)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)))))
% 5.84/6.06 (assume a311 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (=> (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (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) B)))))
% 5.84/6.06 (assume a312 (forall ((F tptp.fun_fu54631149_state) (A tptp.fun_fu1430349052l_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state B)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) (tptp.hAPP_f1912490857e_bool (tptp.image_431763259_state F) A))) (exists ((C_3 tptp.fun_fu1430349052l_bool)) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool C_3) A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool C_3)) (= B (tptp.hAPP_f1912490857e_bool (tptp.image_431763259_state F) C_3))))))))
% 5.84/6.06 (assume a313 (forall ((F tptp.fun_fu700438391_state) (A tptp.fun_fu1996308102l_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state B)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) (tptp.hAPP_f1180969799e_bool (tptp.image_2021386777_state F) A))) (exists ((C_3 tptp.fun_fu1996308102l_bool)) (and (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool C_3) A)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool C_3)) (= B (tptp.hAPP_f1180969799e_bool (tptp.image_2021386777_state F) C_3))))))))
% 5.84/6.06 (assume a314 (forall ((F tptp.fun_fu1499449723_pname) (A tptp.fun_fu1430349052l_bool) (B tptp.fun_pname_bool)) (=> (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))) (exists ((C_3 tptp.fun_fu1430349052l_bool)) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool C_3) A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool C_3)) (= B (tptp.hAPP_f674760225e_bool (tptp.image_1283814551_pname F) C_3))))))))
% 5.84/6.06 (assume a315 (forall ((F tptp.fun_fu2380401_pname) (A tptp.fun_fu1996308102l_bool) (B tptp.fun_pname_bool)) (=> (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_f1892738755e_bool (tptp.image_937015865_pname F) A))) (exists ((C_3 tptp.fun_fu1996308102l_bool)) (and (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool C_3) A)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool C_3)) (= B (tptp.hAPP_f1892738755e_bool (tptp.image_937015865_pname F) C_3))))))))
% 5.84/6.06 (assume a316 (forall ((F tptp.fun_Ho1262521325e_bool) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_fu1430349052l_bool)) (=> (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_f766639041l_bool (tptp.image_1660610235e_bool F) A))) (exists ((C_3 tptp.fun_Ho320143120e_bool)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C_3) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state C_3)) (= B (tptp.hAPP_f766639041l_bool (tptp.image_1660610235e_bool F) C_3))))))))
% 5.84/6.06 (assume a317 (forall ((F tptp.fun_Ho424838195e_bool) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool B) (tptp.hAPP_f726209793l_bool (tptp.image_1484638543e_bool F) A))) (exists ((C_3 tptp.fun_Ho320143120e_bool)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C_3) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state C_3)) (= B (tptp.hAPP_f726209793l_bool (tptp.image_1484638543e_bool F) C_3))))))))
% 5.84/6.06 (assume a318 (forall ((F tptp.fun_Ho713471079_pname) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_pname_bool)) (=> (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_f773602357e_bool (tptp.image_1927198851_pname F) A))) (exists ((C_3 tptp.fun_Ho320143120e_bool)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C_3) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state C_3)) (= B (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) C_3))))))))
% 5.84/6.06 (assume a319 (forall ((F tptp.fun_pn800050071e_bool) (A tptp.fun_pname_bool) (B tptp.fun_fu1430349052l_bool)) (=> (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))) (exists ((C_3 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_3) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_3)) (= B (tptp.hAPP_f434788991l_bool (tptp.image_47868345e_bool F) C_3))))))))
% 5.84/6.06 (assume a320 (forall ((F tptp.fun_pn1521100553e_bool) (A tptp.fun_pname_bool) (B tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool B) (tptp.hAPP_f682249667l_bool (tptp.image_1637084625e_bool F) A))) (exists ((C_3 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_3) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_3)) (= B (tptp.hAPP_f682249667l_bool (tptp.image_1637084625e_bool F) C_3))))))))
% 5.84/6.06 (assume a321 (forall ((F tptp.fun_pname_pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (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))) (exists ((C_3 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_3) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_3)) (= B (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname F) C_3))))))))
% 5.84/6.06 (assume a322 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state B)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A))) (exists ((C_3 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_3) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_3)) (= B (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) C_3))))))))
% 5.84/6.06 (assume a323 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.dom_pname_com tptp.body))))
% 5.84/6.06 (assume a324 (forall ((P_1 tptp.fun_fu1362071682l_bool) (Fa tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 tptp.bot_bot_fun_com_bool)) (=> (forall ((X_2 tptp.com) (F_2 tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com F_2)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_2) F_2))))))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 Fa)))))))
% 5.84/6.06 (assume a325 (forall ((P_1 tptp.fun_fu399576434l_bool) (Fa tptp.fun_fu1430349052l_bool)) (=> (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 tptp.fun_pname_bool) (F_2 tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_2)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_2) F_2))))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 Fa)))))))
% 5.84/6.06 (assume a326 (forall ((P_1 tptp.fun_fu1972704968l_bool) (Fa tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 tptp.bot_bo133096688l_bool)) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool) (F_2 tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool F_2)) (=> (not (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_2) F_2))))))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 Fa)))))))
% 5.84/6.06 (assume a327 (forall ((P_1 tptp.fun_fu1430349052l_bool) (Fa tptp.fun_pname_bool)) (=> (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 tptp.pname) (F_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_2)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) F_2))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 Fa)))))))
% 5.84/6.06 (assume a328 (forall ((P_1 tptp.fun_fu1996308102l_bool) (Fa tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 tptp.bot_bo39439654e_bool)) (=> (forall ((X_2 tptp.hoare_363350478_state) (F_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state F_2)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_2) F_2))))))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 Fa)))))))
% 5.84/6.06 (assume a329 (forall ((A_4 tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A_4)) (or (= A_4 tptp.bot_bot_fun_com_bool) (exists ((A_7 tptp.fun_com_bool) (A_2 tptp.com)) (and (= A_4 (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_2) A_7)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A_7))))))))
% 5.84/6.06 (assume a330 (forall ((A_4 tptp.fun_fu1430349052l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_4)) (or (= A_4 tptp.bot_bo1649642514l_bool) (exists ((A_7 tptp.fun_fu1430349052l_bool) (A_2 tptp.fun_pname_bool)) (and (= A_4 (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_2) A_7)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_7))))))))
% 5.84/6.06 (assume a331 (forall ((A_4 tptp.fun_fu1996308102l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A_4)) (or (= A_4 tptp.bot_bo133096688l_bool) (exists ((A_7 tptp.fun_fu1996308102l_bool) (A_2 tptp.fun_Ho320143120e_bool)) (and (= A_4 (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_2) A_7)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A_7))))))))
% 5.84/6.06 (assume a332 (forall ((A_4 tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_4)) (or (= A_4 tptp.bot_bo844097828e_bool) (exists ((A_7 tptp.fun_pname_bool) (A_2 tptp.pname)) (and (= A_4 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) A_7)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_7))))))))
% 5.84/6.06 (assume a333 (forall ((A_4 tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A_4)) (or (= A_4 tptp.bot_bo39439654e_bool) (exists ((A_7 tptp.fun_Ho320143120e_bool) (A_2 tptp.hoare_363350478_state)) (and (= A_4 (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_2) A_7)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A_7))))))))
% 5.84/6.06 (assume a334 (forall ((F tptp.fun_co482540593_state) (A tptp.fun_com_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) A))) (exists ((X_2 tptp.com)) (and (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com tptp.fconj) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) A))) (tptp.hAPP_H176808977m_bool (tptp.hAPP_f1375689733m_bool tptp.cOMBC_1517337958e_bool (tptp.hAPP_f1813061839e_bool (tptp.cOMBB_147383684ol_com tptp.fequal1026769423_state) F)) (tptp.hAPP_c1041435779_state F X_2)))))))))))))
% 5.84/6.06 (assume a335 (forall ((F tptp.fun_Ho901937921_state) (A tptp.fun_Ho320143120e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool (tptp.image_2068641359_state F) A))) (exists ((X_2 tptp.hoare_363350478_state)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fconj) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) A))) (tptp.hAPP_H705653759e_bool (tptp.hAPP_f114072425e_bool tptp.cOMBC_13083556e_bool (tptp.hAPP_f355123231e_bool (tptp.cOMBB_496159380_state tptp.fequal1026769423_state) F)) (tptp.hAPP_H1982017439_state F X_2)))))))))))))
% 5.84/6.06 (assume a336 (forall ((F tptp.fun_fu54631149_state) (A tptp.fun_fu1430349052l_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1912490857e_bool (tptp.image_431763259_state F) A))) (exists ((X_2 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) A)) (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))) (tptp.hAPP_H444605547l_bool (tptp.hAPP_f1075942761l_bool tptp.cOMBC_1091669008e_bool (tptp.hAPP_f272807711e_bool (tptp.cOMBB_543245952e_bool tptp.fequal1026769423_state) F)) (tptp.hAPP_f804167819_state F X_2)))))))))))))
% 5.84/6.06 (assume a337 (forall ((F tptp.fun_fu700438391_state) (A tptp.fun_fu1996308102l_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1180969799e_bool (tptp.image_2021386777_state F) A))) (exists ((X_2 tptp.fun_Ho320143120e_bool)) (and (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fconj) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1854331281l_bool tptp.cOMBC_1522409444l_bool tptp.member1534059107e_bool) A))) (tptp.hAPP_H40373975l_bool (tptp.hAPP_f1585300113l_bool tptp.cOMBC_497487404e_bool (tptp.hAPP_f440040771e_bool (tptp.cOMBB_238163658e_bool tptp.fequal1026769423_state) F)) (tptp.hAPP_f1242401993_state F X_2)))))))))))))
% 5.84/6.06 (assume a338 (forall ((F tptp.fun_com_pname) (A tptp.fun_com_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f1438183293e_bool (tptp.image_com_pname F) A))) (exists ((X_2 tptp.com)) (and (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com tptp.fconj) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) A))) (tptp.hAPP_p1639923567m_bool (tptp.hAPP_f734198589m_bool tptp.cOMBC_com_pname_bool (tptp.hAPP_f835719487e_bool (tptp.cOMBB_1083901850ol_com tptp.fequal_pname) F)) (tptp.hAPP_com_pname F X_2)))))))))))))
% 5.84/6.06 (assume a339 (forall ((F tptp.fun_Ho713471079_pname) (A tptp.fun_Ho320143120e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) A))) (exists ((X_2 tptp.hoare_363350478_state)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fconj) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) A))) (tptp.hAPP_p2009489185e_bool (tptp.hAPP_f626747953e_bool tptp.cOMBC_1026256022e_bool (tptp.hAPP_f875047427e_bool (tptp.cOMBB_951329022_state tptp.fequal_pname) F)) (tptp.hAPP_H1346202419_pname F X_2)))))))))))))
% 5.84/6.06 (assume a340 (forall ((F tptp.fun_pname_pname) (A tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname F) A))) (exists ((X_2 tptp.pname)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (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))) (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)))))))))))))
% 5.84/6.06 (assume a341 (forall ((F tptp.fun_fu1499449723_pname) (A tptp.fun_fu1430349052l_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f674760225e_bool (tptp.image_1283814551_pname F) A))) (exists ((X_2 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) A)) (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))) (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)))))))))))))
% 5.84/6.06 (assume a342 (forall ((F tptp.fun_fu2380401_pname) (A tptp.fun_fu1996308102l_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f1892738755e_bool (tptp.image_937015865_pname F) A))) (exists ((X_2 tptp.fun_Ho320143120e_bool)) (and (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fconj) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1854331281l_bool tptp.cOMBC_1522409444l_bool tptp.member1534059107e_bool) A))) (tptp.hAPP_p425615669l_bool (tptp.hAPP_f883421385l_bool tptp.cOMBC_1845395470e_bool (tptp.hAPP_f1544555711e_bool (tptp.cOMBB_655928288e_bool tptp.fequal_pname) F)) (tptp.hAPP_f1309420425_pname F X_2)))))))))))))
% 5.84/6.06 (assume a343 (forall ((F tptp.fun_Ho1262521325e_bool) (A tptp.fun_Ho320143120e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f766639041l_bool (tptp.image_1660610235e_bool F) A))) (exists ((X_2 tptp.hoare_363350478_state)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fconj) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) A))) (tptp.hAPP_f1763243027e_bool (tptp.hAPP_f1421439337e_bool tptp.cOMBC_1674478480l_bool (tptp.hAPP_f399561463l_bool (tptp.cOMBB_1217374484_state tptp.fequal533582459e_bool) F)) (tptp.hAPP_H2033014795e_bool F X_2)))))))))))))
% 5.84/6.06 (assume a344 (forall ((F tptp.fun_Ho424838195e_bool) (A tptp.fun_Ho320143120e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A))) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f726209793l_bool (tptp.image_1484638543e_bool F) A))) (exists ((X_2 tptp.hoare_363350478_state)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fconj) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) A))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool (tptp.hAPP_f565239043l_bool (tptp.cOMBB_867654038_state tptp.fequal731041167e_bool) F)) (tptp.hAPP_H705653759e_bool F X_2)))))))))))))
% 5.84/6.06 (assume a345 (forall ((F tptp.fun_pn800050071e_bool) (A tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f434788991l_bool (tptp.image_47868345e_bool F) A))) (exists ((X_2 tptp.pname)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (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))) (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)))))))))))))
% 5.84/6.06 (assume a346 (forall ((F tptp.fun_pn1521100553e_bool) (A tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f682249667l_bool (tptp.image_1637084625e_bool F) A))) (exists ((X_2 tptp.pname)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (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))) (tptp.hAPP_f773602357e_bool (tptp.hAPP_f1863577801e_bool tptp.cOMBC_947783590l_bool (tptp.hAPP_f1841796439l_bool (tptp.cOMBB_343228284_pname tptp.fequal731041167e_bool) F)) (tptp.hAPP_p2009489185e_bool F X_2)))))))))))))
% 5.84/6.06 (assume a347 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A))) (exists ((X_2 tptp.pname)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (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))) (tptp.hAPP_H2033014795e_bool (tptp.hAPP_f443781369e_bool tptp.cOMBC_1422551904e_bool (tptp.hAPP_f1284518107e_bool (tptp.cOMBB_1755629310_pname tptp.fequal1026769423_state) F)) (tptp.hAPP_p1337579261_state F X_2)))))))))))))
% 5.84/6.06 (assume a348 (forall ((Pname_2 tptp.pname) (Pname_1 tptp.pname)) (= (= (tptp.hAPP_pname_com tptp.body_1 Pname_2) (tptp.hAPP_pname_com tptp.body_1 Pname_1)) (= Pname_2 Pname_1))))
% 5.84/6.06 (assume a349 (forall ((G_2 tptp.fun_Ho320143120e_bool) (Procs tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool G_2) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) Procs))) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_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_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) Procs)))))))
% 5.84/6.06 (assume a350 (forall ((A_4 tptp.com) (M tptp.fun_com_option_com)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) (tptp.dom_com_com M))) (exists ((B_3 tptp.com)) (= (tptp.hAPP_com_option_com M A_4) (tptp.hAPP_com_option_com tptp.some_com B_3))))))
% 5.84/6.06 (assume a351 (forall ((A_4 tptp.hoare_363350478_state) (M tptp.fun_Ho12798188_pname)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) (tptp.dom_Ho75493366_pname M))) (exists ((B_3 tptp.pname)) (= (tptp.hAPP_H134270346_pname M A_4) (tptp.hAPP_p1252095976_pname tptp.some_pname B_3))))))
% 5.84/6.06 (assume a352 (forall ((A_4 tptp.hoare_363350478_state) (M tptp.fun_Ho382349394_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) (tptp.dom_Ho867270556_state M))) (exists ((B_3 tptp.hoare_363350478_state)) (= (tptp.hAPP_H1942146718_state M A_4) (tptp.hAPP_H1942146718_state tptp.some_H629028223_state B_3))))))
% 5.84/6.06 (assume a353 (forall ((A_4 tptp.pname) (M tptp.fun_pn1342468758_pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) (tptp.dom_pname_pname M))) (exists ((B_3 tptp.pname)) (= (tptp.hAPP_p1252095976_pname M A_4) (tptp.hAPP_p1252095976_pname tptp.some_pname B_3))))))
% 5.84/6.06 (assume a354 (forall ((A_4 tptp.pname) (M tptp.fun_pn1405249832_state)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) (tptp.dom_pn66870208_state M))) (exists ((B_3 tptp.hoare_363350478_state)) (= (tptp.hAPP_p1737106368_state M A_4) (tptp.hAPP_H1942146718_state tptp.some_H629028223_state B_3))))))
% 5.84/6.06 (assume a355 (forall ((A_4 tptp.pname) (M tptp.fun_pname_option_com)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) (tptp.dom_pname_com M))) (exists ((B_3 tptp.com)) (= (tptp.hAPP_p799580910on_com M A_4) (tptp.hAPP_com_option_com tptp.some_com B_3))))))
% 5.84/6.06 (assume a356 (forall ((X_1 tptp.pname)) (= (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)))
% 5.84/6.06 (assume a357 (forall ((X_1 tptp.com)) (= (tptp.hAPP_f1276420679ol_com tptp.the_elem_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool)) X_1)))
% 5.84/6.06 (assume a358 (forall ((X_1 tptp.hoare_363350478_state)) (= (tptp.hAPP_f1242401993_state tptp.the_el1666657391_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool)) X_1)))
% 5.84/6.06 (assume a359 (forall ((F tptp.fun_Ho938602221te_com) (B tptp.fun_com_bool) (A tptp.fun_Ho320143120e_bool)) (=> (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com (tptp.hAPP_H2142737465te_com F X_2)) B)))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool (tptp.hAPP_f497466683m_bool (tptp.image_689867145te_com F) A)) B)))))
% 5.84/6.06 (assume a360 (forall ((F tptp.fun_Ho713471079_pname) (B tptp.fun_pname_bool) (A tptp.fun_Ho320143120e_bool)) (=> (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_H1346202419_pname F X_2)) B)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) A)) B)))))
% 5.84/6.06 (assume a361 (forall ((F tptp.fun_pname_com) (B tptp.fun_com_bool) (A tptp.fun_pname_bool)) (=> (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com (tptp.hAPP_pname_com F X_2)) B)))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool (tptp.hAPP_f1206115581m_bool (tptp.image_pname_com F) A)) B)))))
% 5.84/6.06 (assume a362 (forall ((F tptp.fun_pname_pname) (B tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (=> (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_pname_pname F X_2)) B)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname F) A)) B)))))
% 5.84/6.06 (assume a363 (forall ((F tptp.fun_co482540593_state) (B tptp.fun_Ho320143120e_bool) (A tptp.fun_com_bool)) (=> (forall ((X_2 tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state (tptp.hAPP_c1041435779_state F X_2)) B)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1859782925e_bool (tptp.image_1736049107_state F) A)) B)))))
% 5.84/6.06 (assume a364 (forall ((F tptp.fun_com_pname) (B tptp.fun_pname_bool) (A tptp.fun_com_bool)) (=> (forall ((X_2 tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_com_pname F X_2)) B)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f1438183293e_bool (tptp.image_com_pname F) A)) B)))))
% 5.84/6.06 (assume a365 (forall ((F tptp.fun_pn1262351275_state) (B tptp.fun_Ho320143120e_bool) (A tptp.fun_pname_bool)) (=> (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state (tptp.hAPP_p1337579261_state F X_2)) B)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)) B)))))
% 5.84/6.06 (assume a366 (forall ((X_1 tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) X_1))))
% 5.84/6.06 (assume a367 (forall ((X_1 tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) X_1))))
% 5.84/6.06 (assume a368 (forall ((X_1 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) X_1))))
% 5.84/6.06 (assume a369 (forall ((A tptp.fun_com_bool)) (= (not (= A tptp.bot_bot_fun_com_bool)) (exists ((X_2 tptp.com) (B_2 tptp.fun_com_bool)) (and (= A (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_2) B_2)) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) B_2))))))))
% 5.84/6.06 (assume a370 (forall ((A tptp.fun_pname_bool)) (= (not (= A tptp.bot_bo844097828e_bool)) (exists ((X_2 tptp.pname) (B_2 tptp.fun_pname_bool)) (and (= A (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))))))))
% 5.84/6.06 (assume a371 (forall ((A tptp.fun_Ho320143120e_bool)) (= (not (= A tptp.bot_bo39439654e_bool)) (exists ((X_2 tptp.hoare_363350478_state) (B_2 tptp.fun_Ho320143120e_bool)) (and (= A (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_2) B_2)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) B_2))))))))
% 5.84/6.06 (assume a372 (forall ((X_5 tptp.pname)) (= (tptp.hAPP_o593586696_pname tptp.the_pname_1 (tptp.hAPP_p1252095976_pname tptp.some_pname X_5)) X_5)))
% 5.84/6.06 (assume a373 (forall ((X_5 tptp.hoare_363350478_state)) (= (tptp.hAPP_o1390191976_state tptp.the_Ho1765868149_state (tptp.hAPP_H1942146718_state tptp.some_H629028223_state X_5)) X_5)))
% 5.84/6.06 (assume a374 (forall ((X_5 tptp.com)) (= (tptp.hAPP_option_com_com tptp.the_com (tptp.hAPP_com_option_com tptp.some_com X_5)) X_5)))
% 5.84/6.06 (assume a375 (forall ((G_2 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_st1506752259e_bool) (Pn_1 tptp.pname) (Q_1 tptp.fun_st1506752259e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) (tptp.hAPP_option_com_com tptp.the_com (tptp.hAPP_p799580910on_com tptp.body Pn_1))) Q_1)) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) (tptp.hAPP_pname_com tptp.body_1 Pn_1)) Q_1)) tptp.bot_bo39439654e_bool))))))
% 5.84/6.06 (assume a376 (forall ((P_1 tptp.fun_st1506752259e_bool) (Pn_1 tptp.pname) (Q_1 tptp.fun_st1506752259e_bool) (G_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) (tptp.hAPP_pname_com tptp.body_1 Pn_1)) Q_1)) G_2)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) (tptp.hAPP_option_com_com tptp.the_com (tptp.hAPP_p799580910on_com tptp.body Pn_1))) Q_1)) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) (tptp.hAPP_pname_com tptp.body_1 Pn_1)) Q_1)) tptp.bot_bo39439654e_bool))))))
% 5.84/6.06 (assume a377 (= (tptp.hBOOL tptp.hoare_265376576gleton) (exists ((S_1 tptp.state) (T_2 tptp.state)) (not (= S_1 T_2)))))
% 5.84/6.06 (assume a378 (forall ((A tptp.fun_com_bool) (C tptp.com) (B tptp.fun_com_bool)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) B))))))
% 5.84/6.06 (assume a379 (forall ((A tptp.fun_Ho320143120e_bool) (C tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B))))))
% 5.84/6.06 (assume a380 (forall ((A tptp.fun_pname_bool) (C tptp.pname) (B tptp.fun_pname_bool)) (=> (=> (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))) (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) B))))))
% 5.84/6.06 (assume a381 (forall ((C tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B))))))
% 5.84/6.06 (assume a382 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B))))))
% 5.84/6.06 (assume a383 (forall ((C tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (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) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))))))
% 5.84/6.06 (assume a384 (forall ((Fun1_2 tptp.fun_st1506752259e_bool) (Com_1 tptp.com) (Fun2_2 tptp.fun_st1506752259e_bool) (Fun1_1 tptp.fun_st1506752259e_bool) (Com_2 tptp.com) (Fun2_1 tptp.fun_st1506752259e_bool)) (= (= (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state Fun1_2) Com_1) Fun2_2) (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state Fun1_1) Com_2) Fun2_1)) (and (= Fun1_2 Fun1_1) (= Com_1 Com_2) (= Fun2_2 Fun2_1)))))
% 5.84/6.06 (assume a385 (forall ((A tptp.fun_com_bool) (C tptp.com) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) B))))))
% 5.84/6.06 (assume a386 (forall ((A tptp.fun_Ho320143120e_bool) (C tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B))))))
% 5.84/6.06 (assume a387 (forall ((A tptp.fun_pname_bool) (C tptp.pname) (B tptp.fun_pname_bool)) (=> (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) B))))))
% 5.84/6.06 (assume a388 (forall ((B tptp.fun_com_bool) (C tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) B))))))
% 5.84/6.06 (assume a389 (forall ((B tptp.fun_Ho320143120e_bool) (C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B))))))
% 5.84/6.06 (assume a390 (forall ((B tptp.fun_pname_bool) (C tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A)) (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) B))))))
% 5.84/6.06 (assume a391 (forall ((P_1 tptp.fun_pname_bool) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (forall ((X_2 tptp.pname)) (=> (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 A) B))) (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2)))) (and (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2)))) (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) B)) (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2))))))))
% 5.84/6.06 (assume a392 (forall ((P_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B))) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_2)))) (and (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_2)))) (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) B)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_2))))))))
% 5.84/6.06 (assume a393 (forall ((P_1 tptp.fun_pname_bool) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (exists ((X_2 tptp.pname)) (and (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 A) B))) (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2)))) (or (exists ((X_2 tptp.pname)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2)))) (exists ((X_2 tptp.pname)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) B)) (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2))))))))
% 5.84/6.06 (assume a394 (forall ((P_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (exists ((X_2 tptp.hoare_363350478_state)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B))) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_2)))) (or (exists ((X_2 tptp.hoare_363350478_state)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_2)))) (exists ((X_2 tptp.hoare_363350478_state)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) B)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_2))))))))
% 5.84/6.06 (assume a395 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) C_1)))))
% 5.84/6.06 (assume a396 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)) C_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) C_1)))))
% 5.84/6.06 (assume a397 (forall ((C tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) B))) (or (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B))))))
% 5.84/6.06 (assume a398 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B))) (or (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B))))))
% 5.84/6.06 (assume a399 (forall ((C tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (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) B))) (or (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))))))
% 5.84/6.06 (assume a400 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) C_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) C_1)))))
% 5.84/6.06 (assume a401 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) C_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) C_1)))))
% 5.84/6.06 (assume a402 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B))))
% 5.84/6.06 (assume a403 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B))))
% 5.84/6.06 (assume a404 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) A))))
% 5.84/6.06 (assume a405 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) A))))
% 5.84/6.06 (assume a406 (forall ((A tptp.fun_com_bool) (B tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) B) (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com tptp.fdisj) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) A))) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) B))))))
% 5.84/6.06 (assume a407 (forall ((A tptp.fun_fu1430349052l_bool) (B tptp.fun_fu1430349052l_bool)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_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_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) A))) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) B))))))
% 5.84/6.06 (assume a408 (forall ((A tptp.fun_fu1996308102l_bool) (B tptp.fun_fu1996308102l_bool)) (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila862847378l_bool A) B) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fdisj) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1854331281l_bool tptp.cOMBC_1522409444l_bool tptp.member1534059107e_bool) A))) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1854331281l_bool tptp.cOMBC_1522409444l_bool tptp.member1534059107e_bool) B))))))
% 5.84/6.06 (assume a409 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fdisj) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) A))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) B))))))
% 5.84/6.06 (assume a410 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool 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_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) A))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) B))))))
% 5.84/6.06 (assume a411 (forall ((A tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) A) A)))
% 5.84/6.06 (assume a412 (forall ((A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) A) A)))
% 5.84/6.06 (assume a413 (forall ((P_1 tptp.fun_pname_bool) (Q_1 tptp.fun_pname_bool)) (= (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)))))
% 5.84/6.06 (assume a414 (forall ((P_1 tptp.fun_fu1430349052l_bool) (Q_1 tptp.fun_fu1430349052l_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)) (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)))))
% 5.84/6.06 (assume a415 (forall ((P_1 tptp.fun_fu1996308102l_bool) (Q_1 tptp.fun_fu1996308102l_bool)) (= (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fdisj) P_1)) Q_1)) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila862847378l_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool P_1)) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool Q_1)))))
% 5.84/6.06 (assume a416 (forall ((P_1 tptp.fun_Ho320143120e_bool) (Q_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fdisj) P_1)) Q_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state P_1)) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state Q_1)))))
% 5.84/6.06 (assume a417 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B) tptp.bot_bo844097828e_bool) (and (= A tptp.bot_bo844097828e_bool) (= B tptp.bot_bo844097828e_bool)))))
% 5.84/6.06 (assume a418 (forall ((A tptp.fun_com_bool) (B tptp.fun_com_bool)) (= (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) B) tptp.bot_bot_fun_com_bool) (and (= A tptp.bot_bot_fun_com_bool) (= B tptp.bot_bot_fun_com_bool)))))
% 5.84/6.06 (assume a419 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B) tptp.bot_bo39439654e_bool) (and (= A tptp.bot_bo39439654e_bool) (= B tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a420 (forall ((A tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) tptp.bot_bo844097828e_bool) A)))
% 5.84/6.06 (assume a421 (forall ((A tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) tptp.bot_bot_fun_com_bool) A)))
% 5.84/6.06 (assume a422 (forall ((A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) tptp.bot_bo39439654e_bool) A)))
% 5.84/6.06 (assume a423 (forall ((B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool tptp.bot_bo844097828e_bool) B) B)))
% 5.84/6.06 (assume a424 (forall ((B tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool tptp.bot_bot_fun_com_bool) B) B)))
% 5.84/6.06 (assume a425 (forall ((B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool tptp.bot_bo39439654e_bool) B) B)))
% 5.84/6.06 (assume a426 (forall ((G_2 tptp.fun_fu1430349052l_bool) (Fa tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool G_2)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool Fa) G_2)))))))
% 5.84/6.06 (assume a427 (forall ((G_2 tptp.fun_fu1996308102l_bool) (Fa tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool G_2)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila862847378l_bool Fa) G_2)))))))
% 5.84/6.06 (assume a428 (forall ((G_2 tptp.fun_Ho320143120e_bool) (Fa tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state G_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Fa) G_2)))))))
% 5.84/6.06 (assume a429 (forall ((G_2 tptp.fun_pname_bool) (Fa tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname G_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Fa) G_2)))))))
% 5.84/6.06 (assume a430 (forall ((Fa tptp.fun_fu1430349052l_bool) (G_2 tptp.fun_fu1430349052l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool Fa) G_2))) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool G_2))))))
% 5.84/6.06 (assume a431 (forall ((Fa tptp.fun_fu1996308102l_bool) (G_2 tptp.fun_fu1996308102l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila862847378l_bool Fa) G_2))) (and (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool G_2))))))
% 5.84/6.06 (assume a432 (forall ((Fa tptp.fun_Ho320143120e_bool) (G_2 tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Fa) G_2))) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state Fa)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state G_2))))))
% 5.84/6.06 (assume a433 (forall ((Fa tptp.fun_pname_bool) (G_2 tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Fa) G_2))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname G_2))))))
% 5.84/6.06 (assume a434 (forall ((A_4 tptp.pname) (B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) C_1)))))
% 5.84/6.06 (assume a435 (forall ((A_4 tptp.com) (B tptp.fun_com_bool) (C_1 tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) C_1) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool B) C_1)))))
% 5.84/6.06 (assume a436 (forall ((A_4 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) C_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) C_1)))))
% 5.84/6.06 (assume a437 (forall ((A tptp.fun_pname_bool) (A_4 tptp.pname) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B)))))
% 5.84/6.06 (assume a438 (forall ((A tptp.fun_com_bool) (A_4 tptp.com) (B tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) B)))))
% 5.84/6.06 (assume a439 (forall ((A tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)))))
% 5.84/6.06 (assume a440 (forall ((B tptp.fun_pname_bool) (D tptp.fun_pname_bool) (A tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) 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)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool C_1) D)))))))
% 5.84/6.06 (assume a441 (forall ((B tptp.fun_Ho320143120e_bool) (D tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) D)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool C_1) D)))))))
% 5.84/6.06 (assume a442 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) 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) B)) C_1))))))
% 5.84/6.06 (assume a443 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) C_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)) C_1))))))
% 5.84/6.06 (assume a444 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B) A))))
% 5.84/6.06 (assume a445 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) A)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B) A))))
% 5.84/6.06 (assume a446 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B) B))))
% 5.84/6.06 (assume a447 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B) B))))
% 5.84/6.06 (assume a448 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B) B))))
% 5.84/6.06 (assume a449 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B) B))))
% 5.84/6.06 (assume a450 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (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) B)))))
% 5.84/6.06 (assume a451 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)))))
% 5.84/6.06 (assume a452 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B)))))
% 5.84/6.06 (assume a453 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)))))
% 5.84/6.06 (assume a454 (forall ((F tptp.fun_Ho713471079_pname) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) A)) (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) B)))))
% 5.84/6.06 (assume a455 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) B)))))
% 5.84/6.06 (assume a456 (forall ((A_4 tptp.pname) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) 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_4))) B))))
% 5.84/6.06 (assume a457 (forall ((A_4 tptp.com) (B tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_c1396316405m_bool (tptp.hAPP_f908845385m_bool tptp.cOMBC_com_com_bool tptp.fequal_com) A_4))) B))))
% 5.84/6.06 (assume a458 (forall ((A_4 tptp.fun_pname_bool) (B tptp.fun_fu1430349052l_bool)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) 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_4))) B))))
% 5.84/6.06 (assume a459 (forall ((A_4 tptp.fun_Ho320143120e_bool) (B tptp.fun_fu1996308102l_bool)) (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) B) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila862847378l_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f726209793l_bool (tptp.hAPP_f205303905l_bool tptp.cOMBC_1250231770l_bool tptp.fequal731041167e_bool) A_4))) B))))
% 5.84/6.06 (assume a460 (forall ((A_4 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_H705653759e_bool (tptp.hAPP_f114072425e_bool tptp.cOMBC_13083556e_bool tptp.fequal1026769423_state) A_4))) B))))
% 5.84/6.06 (assume a461 (forall ((A_4 tptp.pname) (A tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) tptp.bot_bo844097828e_bool)) A))))
% 5.84/6.06 (assume a462 (forall ((A_4 tptp.com) (A tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) tptp.bot_bot_fun_com_bool)) A))))
% 5.84/6.06 (assume a463 (forall ((A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) tptp.bot_bo39439654e_bool)) A))))
% 5.84/6.06 (assume a464 (forall ((G_2 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_pn12888928e_bool) (Q_1 tptp.fun_pn12888928e_bool) (Procs tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool G_2) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f19336718_state (tptp.hAPP_f720869462_state tptp.cOMBS_1110920566_state (tptp.hAPP_f1146170881_state (tptp.hAPP_f1311198492_state tptp.cOMBS_124505571_state (tptp.hAPP_f387017471_state (tptp.cOMBB_1212270426_pname tptp.hoare_608330478_state) P_1)) tptp.body_1)) Q_1)) Procs))) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f19336718_state (tptp.hAPP_f720869462_state tptp.cOMBS_1110920566_state (tptp.hAPP_f1146170881_state (tptp.hAPP_f1311198492_state tptp.cOMBS_124505571_state (tptp.hAPP_f387017471_state (tptp.cOMBB_1212270426_pname tptp.hoare_608330478_state) P_1)) (tptp.hAPP_f96342628me_com (tptp.cOMBB_923936821_pname tptp.the_com) tptp.body))) Q_1)) Procs))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f19336718_state (tptp.hAPP_f720869462_state tptp.cOMBS_1110920566_state (tptp.hAPP_f1146170881_state (tptp.hAPP_f1311198492_state tptp.cOMBS_124505571_state (tptp.hAPP_f387017471_state (tptp.cOMBB_1212270426_pname tptp.hoare_608330478_state) P_1)) tptp.body_1)) Q_1)) Procs))))))
% 5.84/6.06 (assume a465 (forall ((Z tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Z) Y_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Z) X_1))))))
% 5.84/6.06 (assume a466 (forall ((Z tptp.bool) (Y_2 tptp.bool) (X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Z) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Z) X_1))))))
% 5.84/6.06 (assume a467 (forall ((Z tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_2) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Z) Y_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Z) X_1))))))
% 5.84/6.06 (assume a468 (forall ((Y_2 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_2)) (= X_1 Y_2)))))
% 5.84/6.06 (assume a469 (forall ((Y_2 tptp.bool) (X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_2)) (= (tptp.hBOOL X_1) (tptp.hBOOL Y_2))))))
% 5.84/6.06 (assume a470 (forall ((Y_2 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_2) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Y_2)) (= X_1 Y_2)))))
% 5.84/6.06 (assume a471 (forall ((Z tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) Z)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Z))))))
% 5.84/6.06 (assume a472 (forall ((Z tptp.bool) (X_1 tptp.bool) (Y_2 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) Z)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Z))))))
% 5.84/6.06 (assume a473 (forall ((Z tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_2) Z)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Z))))))
% 5.84/6.06 (assume a474 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_1)) (= X_1 Y_2)))))
% 5.84/6.06 (assume a475 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_1)) (= (tptp.hBOOL X_1) (tptp.hBOOL Y_2))))))
% 5.84/6.06 (assume a476 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_2) X_1)) (= X_1 Y_2)))))
% 5.84/6.06 (assume a477 (forall ((C tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) A_4)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C) A_4))))))
% 5.84/6.06 (assume a478 (forall ((C tptp.bool) (B_1 tptp.bool) (A_4 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool B_1) A_4)) (=> (= (tptp.hBOOL B_1) (tptp.hBOOL C)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool C) A_4))))))
% 5.84/6.06 (assume a479 (forall ((C tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B_1) A_4)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C) A_4))))))
% 5.84/6.06 (assume a480 (forall ((C tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_4) B_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_4) C))))))
% 5.84/6.06 (assume a481 (forall ((C tptp.bool) (A_4 tptp.bool) (B_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_4) B_1)) (=> (= (tptp.hBOOL B_1) (tptp.hBOOL C)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_4) C))))))
% 5.84/6.06 (assume a482 (forall ((C tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A_4) B_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A_4) C))))))
% 5.84/6.06 (assume a483 (forall ((C tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool)) (=> (= A_4 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_4))))))
% 5.84/6.06 (assume a484 (forall ((C tptp.bool) (B_1 tptp.bool) (A_4 tptp.bool)) (=> (= (tptp.hBOOL A_4) (tptp.hBOOL B_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool C) B_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool C) A_4))))))
% 5.84/6.06 (assume a485 (forall ((C tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool)) (=> (= A_4 B_1) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C) B_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C) A_4))))))
% 5.84/6.06 (assume a486 (forall ((C tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool)) (=> (= A_4 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_4) C))))))
% 5.84/6.06 (assume a487 (forall ((C tptp.bool) (B_1 tptp.bool) (A_4 tptp.bool)) (=> (= (tptp.hBOOL A_4) (tptp.hBOOL B_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool B_1) C)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_4) C))))))
% 5.84/6.06 (assume a488 (forall ((C tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool)) (=> (= A_4 B_1) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B_1) C)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A_4) C))))))
% 5.84/6.06 (assume a489 (forall ((Y_2 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_1)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_2)) (= X_1 Y_2)))))
% 5.84/6.06 (assume a490 (forall ((Y_2 tptp.bool) (X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_1)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_2)) (= (tptp.hBOOL X_1) (tptp.hBOOL Y_2))))))
% 5.84/6.06 (assume a491 (forall ((Y_2 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_2) X_1)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Y_2)) (= X_1 Y_2)))))
% 5.84/6.06 (assume a492 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (=> (= X_1 Y_2) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_2)))))
% 5.84/6.06 (assume a493 (forall ((Y_2 tptp.bool) (X_1 tptp.bool)) (=> (= (tptp.hBOOL X_1) (tptp.hBOOL Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_2)))))
% 5.84/6.06 (assume a494 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (=> (= X_1 Y_2) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Y_2)))))
% 5.84/6.06 (assume a495 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (= (= X_1 Y_2) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_1))))))
% 5.84/6.06 (assume a496 (forall ((Y_2 tptp.bool) (X_1 tptp.bool)) (= (= (tptp.hBOOL X_1) (tptp.hBOOL Y_2)) (and (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_1))))))
% 5.84/6.06 (assume a497 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (= (= X_1 Y_2) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_2) X_1))))))
% 5.84/6.06 (assume a498 (forall ((A_4 tptp.pname) (A_8 tptp.pname)) (= (= (tptp.hAPP_p1252095976_pname tptp.some_pname A_4) (tptp.hAPP_p1252095976_pname tptp.some_pname A_8)) (= A_4 A_8))))
% 5.84/6.06 (assume a499 (forall ((A_4 tptp.hoare_363350478_state) (A_8 tptp.hoare_363350478_state)) (= (= (tptp.hAPP_H1942146718_state tptp.some_H629028223_state A_4) (tptp.hAPP_H1942146718_state tptp.some_H629028223_state A_8)) (= A_4 A_8))))
% 5.84/6.06 (assume a500 (forall ((A_4 tptp.com) (A_8 tptp.com)) (= (= (tptp.hAPP_com_option_com tptp.some_com A_4) (tptp.hAPP_com_option_com tptp.some_com A_8)) (= A_4 A_8))))
% 5.84/6.06 (assume a501 (forall ((G_2 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_st1506752259e_bool) (C tptp.com) (Q_1 tptp.fun_st1506752259e_bool) (C_1 tptp.bool)) (=> (=> (tptp.hBOOL C_1) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) C) Q_1)) tptp.bot_bo39439654e_bool)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_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_bo39439654e_bool))))))
% 5.84/6.06 (assume a502 (forall ((Pn_1 tptp.pname) (G_2 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_pn12888928e_bool) (Q_1 tptp.fun_pn12888928e_bool) (Procs tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool G_2) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f19336718_state (tptp.hAPP_f720869462_state tptp.cOMBS_1110920566_state (tptp.hAPP_f1146170881_state (tptp.hAPP_f1311198492_state tptp.cOMBS_124505571_state (tptp.hAPP_f387017471_state (tptp.cOMBB_1212270426_pname tptp.hoare_608330478_state) P_1)) tptp.body_1)) Q_1)) Procs))) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f19336718_state (tptp.hAPP_f720869462_state tptp.cOMBS_1110920566_state (tptp.hAPP_f1146170881_state (tptp.hAPP_f1311198492_state tptp.cOMBS_124505571_state (tptp.hAPP_f387017471_state (tptp.cOMBB_1212270426_pname tptp.hoare_608330478_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_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_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_bo39439654e_bool)))))))
% 5.84/6.06 (assume a503 (forall ((A_4 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_4) tptp.bot_bo844097828e_bool)) (= A_4 tptp.bot_bo844097828e_bool))))
% 5.84/6.06 (assume a504 (forall ((A_4 tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A_4) tptp.bot_bot_fun_com_bool)) (= A_4 tptp.bot_bot_fun_com_bool))))
% 5.84/6.06 (assume a505 (forall ((A_4 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_4) tptp.bot_bot_bool)) (= (tptp.hBOOL A_4) (tptp.hBOOL tptp.bot_bot_bool)))))
% 5.84/6.06 (assume a506 (forall ((A_4 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A_4) tptp.bot_bo39439654e_bool)) (= A_4 tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a507 (forall ((A_4 tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_4) tptp.bot_bo844097828e_bool)) (= A_4 tptp.bot_bo844097828e_bool))))
% 5.84/6.06 (assume a508 (forall ((A_4 tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A_4) tptp.bot_bot_fun_com_bool)) (= A_4 tptp.bot_bot_fun_com_bool))))
% 5.84/6.06 (assume a509 (forall ((A_4 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_4) tptp.bot_bot_bool)) (= (tptp.hBOOL A_4) (tptp.hBOOL tptp.bot_bot_bool)))))
% 5.84/6.06 (assume a510 (forall ((A_4 tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A_4) tptp.bot_bo39439654e_bool)) (= A_4 tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a511 (forall ((A_4 tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool tptp.bot_bo844097828e_bool) A_4))))
% 5.84/6.06 (assume a512 (forall ((A_4 tptp.fun_com_bool)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool tptp.bot_bot_fun_com_bool) A_4))))
% 5.84/6.06 (assume a513 (forall ((A_4 tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool tptp.bot_bot_bool) A_4))))
% 5.84/6.06 (assume a514 (forall ((A_4 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool tptp.bot_bo39439654e_bool) A_4))))
% 5.84/6.06 (assume a515 (forall ((X_1 tptp.pname) (F tptp.fun_pname_bool) (G tptp.fun_pname_bool)) (=> (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))))))
% 5.84/6.06 (assume a516 (forall ((X_1 tptp.hoare_363350478_state) (F tptp.fun_Ho320143120e_bool) (G tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_H1645464494e_bool F X_1)) (tptp.hAPP_H1645464494e_bool G X_1))))))
% 5.84/6.06 (assume a517 (forall ((X_1 tptp.pname) (F tptp.fun_pname_bool) (G tptp.fun_pname_bool)) (=> (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))))))
% 5.84/6.06 (assume a518 (forall ((X_1 tptp.hoare_363350478_state) (F tptp.fun_Ho320143120e_bool) (G tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_H1645464494e_bool F X_1)) (tptp.hAPP_H1645464494e_bool G X_1))))))
% 5.84/6.06 (assume a519 (forall ((F tptp.fun_pname_bool) (G tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool F) G)) (forall ((X_2 tptp.pname)) (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)))))))
% 5.84/6.06 (assume a520 (forall ((F tptp.fun_Ho320143120e_bool) (G tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool F) G)) (forall ((X_2 tptp.hoare_363350478_state)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_H1645464494e_bool F X_2)) (tptp.hAPP_H1645464494e_bool G X_2)))))))
% 5.84/6.06 (assume a521 (forall ((X_1 tptp.pname)) (= (tptp.hBOOL (tptp.hAPP_pname_bool tptp.bot_bo844097828e_bool X_1)) (tptp.hBOOL tptp.bot_bot_bool))))
% 5.84/6.06 (assume a522 (forall ((X_1 tptp.com)) (= (tptp.hBOOL (tptp.hAPP_com_bool tptp.bot_bot_fun_com_bool X_1)) (tptp.hBOOL tptp.bot_bot_bool))))
% 5.84/6.06 (assume a523 (forall ((X_1 tptp.hoare_363350478_state)) (= (tptp.hBOOL (tptp.hAPP_H1645464494e_bool tptp.bot_bo39439654e_bool X_1)) (tptp.hBOOL tptp.bot_bot_bool))))
% 5.84/6.06 (assume a524 (forall ((X_2 tptp.pname)) (= (tptp.hBOOL (tptp.hAPP_pname_bool tptp.bot_bo844097828e_bool X_2)) (tptp.hBOOL tptp.bot_bot_bool))))
% 5.84/6.06 (assume a525 (forall ((X_2 tptp.com)) (= (tptp.hBOOL (tptp.hAPP_com_bool tptp.bot_bot_fun_com_bool X_2)) (tptp.hBOOL tptp.bot_bot_bool))))
% 5.84/6.06 (assume a526 (forall ((X_2 tptp.hoare_363350478_state)) (= (tptp.hBOOL (tptp.hAPP_H1645464494e_bool tptp.bot_bo39439654e_bool X_2)) (tptp.hBOOL tptp.bot_bot_bool))))
% 5.84/6.06 (assume a527 (forall ((P_1 tptp.fun_fu1022316450e_bool) (Q_1 tptp.fun_fu1022316450e_bool) (G_2 tptp.fun_Ho320143120e_bool) (P_3 tptp.fun_fu1022316450e_bool) (C0_1 tptp.fun_fu78728705ol_com) (Q_3 tptp.fun_fu1022316450e_bool) (U_1 tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool U_1)) (=> (forall ((P_4 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state (tptp.hAPP_f887530048e_bool P_3 P_4)) (tptp.hAPP_f792846925ol_com C0_1 P_4)) (tptp.hAPP_f887530048e_bool Q_3 P_4))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state (tptp.hAPP_f887530048e_bool P_1 P_4)) (tptp.hAPP_f792846925ol_com C0_1 P_4)) (tptp.hAPP_f887530048e_bool Q_1 P_4))) tptp.bot_bo39439654e_bool))))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1912490857e_bool (tptp.image_431763259_state (tptp.hAPP_f2070959648_state (tptp.hAPP_f820078872_state tptp.cOMBS_444947014_state (tptp.hAPP_f926121585_state (tptp.hAPP_f907647536_state tptp.cOMBS_1636274867_state (tptp.hAPP_f1215319405_state (tptp.cOMBB_151548708e_bool tptp.hoare_608330478_state) P_3)) C0_1)) Q_3)) U_1))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1912490857e_bool (tptp.image_431763259_state (tptp.hAPP_f2070959648_state (tptp.hAPP_f820078872_state tptp.cOMBS_444947014_state (tptp.hAPP_f926121585_state (tptp.hAPP_f907647536_state tptp.cOMBS_1636274867_state (tptp.hAPP_f1215319405_state (tptp.cOMBB_151548708e_bool tptp.hoare_608330478_state) P_1)) C0_1)) Q_1)) U_1))))))))
% 5.84/6.06 (assume a528 (forall ((P_1 tptp.fun_fu1232608556e_bool) (Q_1 tptp.fun_fu1232608556e_bool) (G_2 tptp.fun_Ho320143120e_bool) (P_3 tptp.fun_fu1232608556e_bool) (C0_1 tptp.fun_fu1203007991ol_com) (Q_3 tptp.fun_fu1232608556e_bool) (U_1 tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool U_1)) (=> (forall ((P_4 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state (tptp.hAPP_f877220222e_bool P_3 P_4)) (tptp.hAPP_f1577230223ol_com C0_1 P_4)) (tptp.hAPP_f877220222e_bool Q_3 P_4))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state (tptp.hAPP_f877220222e_bool P_1 P_4)) (tptp.hAPP_f1577230223ol_com C0_1 P_4)) (tptp.hAPP_f877220222e_bool Q_1 P_4))) tptp.bot_bo39439654e_bool))))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1180969799e_bool (tptp.image_2021386777_state (tptp.hAPP_f605405862_state (tptp.hAPP_f1593397690_state tptp.cOMBS_1452472386_state (tptp.hAPP_f153770241_state (tptp.hAPP_f2014973160_state tptp.cOMBS_319359663_state (tptp.hAPP_f1323754599_state (tptp.cOMBB_188465958e_bool tptp.hoare_608330478_state) P_3)) C0_1)) Q_3)) U_1))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1180969799e_bool (tptp.image_2021386777_state (tptp.hAPP_f605405862_state (tptp.hAPP_f1593397690_state tptp.cOMBS_1452472386_state (tptp.hAPP_f153770241_state (tptp.hAPP_f2014973160_state tptp.cOMBS_319359663_state (tptp.hAPP_f1323754599_state (tptp.cOMBB_188465958e_bool tptp.hoare_608330478_state) P_1)) C0_1)) Q_1)) U_1))))))))
% 5.84/6.06 (assume a529 (forall ((P_1 tptp.fun_pn12888928e_bool) (Q_1 tptp.fun_pn12888928e_bool) (G_2 tptp.fun_Ho320143120e_bool) (P_3 tptp.fun_pn12888928e_bool) (C0_1 tptp.fun_pname_com) (Q_3 tptp.fun_pn12888928e_bool) (U_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname U_1)) (=> (forall ((P_4 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state (tptp.hAPP_p1637813682e_bool P_3 P_4)) (tptp.hAPP_pname_com C0_1 P_4)) (tptp.hAPP_p1637813682e_bool Q_3 P_4))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state (tptp.hAPP_p1637813682e_bool P_1 P_4)) (tptp.hAPP_pname_com C0_1 P_4)) (tptp.hAPP_p1637813682e_bool Q_1 P_4))) tptp.bot_bo39439654e_bool))))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f19336718_state (tptp.hAPP_f720869462_state tptp.cOMBS_1110920566_state (tptp.hAPP_f1146170881_state (tptp.hAPP_f1311198492_state tptp.cOMBS_124505571_state (tptp.hAPP_f387017471_state (tptp.cOMBB_1212270426_pname tptp.hoare_608330478_state) P_3)) C0_1)) Q_3)) U_1))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f19336718_state (tptp.hAPP_f720869462_state tptp.cOMBS_1110920566_state (tptp.hAPP_f1146170881_state (tptp.hAPP_f1311198492_state tptp.cOMBS_124505571_state (tptp.hAPP_f387017471_state (tptp.cOMBB_1212270426_pname tptp.hoare_608330478_state) P_1)) C0_1)) Q_1)) U_1))))))))
% 5.84/6.06 (assume a530 (forall ((G_2 tptp.fun_Ho320143120e_bool) (C tptp.com) (Q_1 tptp.fun_st1506752259e_bool) (P_1 tptp.fun_st1506752259e_bool)) (=> (forall ((Z_2 tptp.state) (S_1 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P_1 Z_2) S_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state (tptp.hAPP_f1863945078e_bool tptp.cOMBK_631994958_state (tptp.hAPP_s1806633685e_bool (tptp.hAPP_f817621513e_bool tptp.cOMBC_2027030106e_bool tptp.fequal_state) S_1))) C) (tptp.hAPP_f1863945078e_bool tptp.cOMBK_631994958_state (tptp.hAPP_s1806633685e_bool Q_1 Z_2)))) tptp.bot_bo39439654e_bool))))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) C) Q_1)) tptp.bot_bo39439654e_bool))))))
% 5.84/6.06 (assume a531 (forall ((G_2 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_pn12888928e_bool) (Q_1 tptp.fun_pn12888928e_bool) (Procs tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_501514600_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool G_2) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f19336718_state (tptp.hAPP_f720869462_state tptp.cOMBS_1110920566_state (tptp.hAPP_f1146170881_state (tptp.hAPP_f1311198492_state tptp.cOMBS_124505571_state (tptp.hAPP_f387017471_state (tptp.cOMBB_1212270426_pname tptp.hoare_608330478_state) P_1)) tptp.body_1)) Q_1)) Procs))) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f19336718_state (tptp.hAPP_f720869462_state tptp.cOMBS_1110920566_state (tptp.hAPP_f1146170881_state (tptp.hAPP_f1311198492_state tptp.cOMBS_124505571_state (tptp.hAPP_f387017471_state (tptp.cOMBB_1212270426_pname tptp.hoare_608330478_state) P_1)) (tptp.hAPP_f96342628me_com (tptp.cOMBB_923936821_pname tptp.the_com) tptp.body))) Q_1)) Procs))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_501514600_state G_2) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f19336718_state (tptp.hAPP_f720869462_state tptp.cOMBS_1110920566_state (tptp.hAPP_f1146170881_state (tptp.hAPP_f1311198492_state tptp.cOMBS_124505571_state (tptp.hAPP_f387017471_state (tptp.cOMBB_1212270426_pname tptp.hoare_608330478_state) P_1)) tptp.body_1)) Q_1)) Procs))))))
% 5.84/6.06 (assume a532 (forall ((P_1 tptp.fun_st1506752259e_bool) (G_2 tptp.fun_Ho320143120e_bool) (P_3 tptp.fun_st1506752259e_bool) (C tptp.com) (Q_1 tptp.fun_st1506752259e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_3) C) Q_1)) tptp.bot_bo39439654e_bool))) (=> (forall ((Z_2 tptp.state) (S_1 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P_1 Z_2) S_1)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P_3 Z_2) S_1)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) C) Q_1)) tptp.bot_bo39439654e_bool)))))))
% 5.84/6.06 (assume a533 (forall ((Q_1 tptp.fun_st1506752259e_bool) (G_2 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_st1506752259e_bool) (C tptp.com) (Q_3 tptp.fun_st1506752259e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) C) Q_3)) tptp.bot_bo39439654e_bool))) (=> (forall ((Z_2 tptp.state) (S_1 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool Q_3 Z_2) S_1)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool Q_1 Z_2) S_1)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) C) Q_1)) tptp.bot_bo39439654e_bool)))))))
% 5.84/6.06 (assume a534 (forall ((P_1 tptp.fun_st1506752259e_bool) (Q_1 tptp.fun_st1506752259e_bool) (C tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_501514600_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) C) Q_1)) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) C) Q_1)) tptp.bot_bo39439654e_bool)))))))
% 5.84/6.06 (assume a535 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (X_1 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B) X_1)) (=> (not (tptp.hBOOL (tptp.hAPP_pname_bool A X_1))) (tptp.hBOOL (tptp.hAPP_pname_bool B X_1))))))
% 5.84/6.06 (assume a536 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B) X_1)) (=> (not (tptp.hBOOL (tptp.hAPP_H1645464494e_bool A X_1))) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool B X_1))))))
% 5.84/6.06 (assume a537 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (X_1 tptp.pname)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_pname_bool B X_1))) (tptp.hBOOL (tptp.hAPP_pname_bool A X_1))) (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B) X_1)))))
% 5.84/6.06 (assume a538 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_H1645464494e_bool B X_1))) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool A X_1))) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B) X_1)))))
% 5.84/6.06 (assume a539 (forall ((Q_1 tptp.fun_st1506752259e_bool) (P_1 tptp.fun_st1506752259e_bool) (G_2 tptp.fun_Ho320143120e_bool) (P_3 tptp.fun_st1506752259e_bool) (C tptp.com) (Q_3 tptp.fun_st1506752259e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_3) C) Q_3)) tptp.bot_bo39439654e_bool))) (=> (forall ((Z_2 tptp.state) (S_1 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P_1 Z_2) S_1)) (forall ((S_2 tptp.state)) (=> (forall ((Z_3 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P_3 Z_3) S_1)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool Q_3 Z_3) S_2)))) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool Q_1 Z_2) S_2)))))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) C) Q_1)) tptp.bot_bo39439654e_bool)))))))
% 5.84/6.06 (assume a540 (forall ((G_2 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_501514600_state G_2) Ts)))))
% 5.84/6.06 (assume a541 (forall ((X_2 tptp.com)) (= (tptp.hBOOL (tptp.hAPP_com_bool tptp.bot_bot_fun_com_bool X_2)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) tptp.bot_bot_fun_com_bool)))))
% 5.84/6.06 (assume a542 (forall ((X_2 tptp.hoare_363350478_state)) (= (tptp.hBOOL (tptp.hAPP_H1645464494e_bool tptp.bot_bo39439654e_bool X_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a543 (forall ((X_2 tptp.pname)) (= (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)))))
% 5.84/6.06 (assume a544 (forall ((Q_1 tptp.fun_pname_bool) (P_1 tptp.fun_pname_bool) (X_1 tptp.pname)) (=> (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))))))
% 5.84/6.06 (assume a545 (forall ((Q_1 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_1)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool P_1) Q_1)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool Q_1 X_1))))))
% 5.84/6.06 (assume a546 (forall ((X_1 tptp.pname) (P_1 tptp.fun_pname_bool) (Q_1 tptp.fun_pname_bool)) (=> (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))))))
% 5.84/6.06 (assume a547 (forall ((X_1 tptp.hoare_363350478_state) (P_1 tptp.fun_Ho320143120e_bool) (Q_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool P_1) Q_1)) (=> (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool Q_1 X_1))))))
% 5.84/6.06 (assume a548 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (X_1 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_pname_bool B X_1)) (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B) X_1)))))
% 5.84/6.06 (assume a549 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_H1645464494e_bool B X_1)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B) X_1)))))
% 5.84/6.06 (assume a550 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool) (X_1 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_pname_bool A X_1)) (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B) X_1)))))
% 5.84/6.06 (assume a551 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_H1645464494e_bool A X_1)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B) X_1)))))
% 5.84/6.06 (assume a552 (forall ((R_1 tptp.fun_com_bool) (S tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) R_1)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) S))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool R_1) S)))))
% 5.84/6.06 (assume a553 (forall ((R_1 tptp.fun_Ho320143120e_bool) (S tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) R_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) S))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool R_1) S)))))
% 5.84/6.06 (assume a554 (forall ((R_1 tptp.fun_pname_bool) (S tptp.fun_pname_bool)) (= (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)))))
% 5.84/6.06 (assume a555 (forall ((R_1 tptp.fun_com_bool) (S tptp.fun_com_bool) (X_2 tptp.com)) (= (tptp.hBOOL (tptp.hAPP_com_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) R_1)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) S)) X_2)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool R_1) S))))))
% 5.84/6.06 (assume a556 (forall ((R_1 tptp.fun_Ho320143120e_bool) (S tptp.fun_Ho320143120e_bool) (X_2 tptp.hoare_363350478_state)) (= (tptp.hBOOL (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) R_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) S)) X_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool R_1) S))))))
% 5.84/6.06 (assume a557 (forall ((R_1 tptp.fun_pname_bool) (S tptp.fun_pname_bool) (X_2 tptp.pname)) (= (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))))))
% 5.84/6.06 (assume a558 (forall ((F tptp.fun_pname_bool) (G tptp.fun_pname_bool)) (=> (forall ((X_2 tptp.pname)) (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)))))
% 5.84/6.06 (assume a559 (forall ((F tptp.fun_Ho320143120e_bool) (G tptp.fun_Ho320143120e_bool)) (=> (forall ((X_2 tptp.hoare_363350478_state)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_H1645464494e_bool F X_2)) (tptp.hAPP_H1645464494e_bool G X_2)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool F) G)))))
% 5.84/6.06 (assume a560 (forall ((X_1 tptp.pname)) (= (tptp.set_pname (tptp.hAPP_p1252095976_pname tptp.some_pname X_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))))
% 5.84/6.06 (assume a561 (forall ((X_1 tptp.com)) (= (tptp.set_com (tptp.hAPP_com_option_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))))
% 5.84/6.06 (assume a562 (forall ((X_1 tptp.hoare_363350478_state)) (= (tptp.set_Ho1327198534_state (tptp.hAPP_H1942146718_state tptp.some_H629028223_state X_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a563 (forall ((F tptp.fun_pname_bool) (G tptp.fun_pname_bool) (X_1 tptp.pname)) (= (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool F) G) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_pname_bool F X_1)) (tptp.hAPP_pname_bool G X_1))))))
% 5.84/6.06 (assume a564 (forall ((F tptp.fun_Ho320143120e_bool) (G tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state)) (= (tptp.hBOOL (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool F) G) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_H1645464494e_bool F X_1)) (tptp.hAPP_H1645464494e_bool G X_1))))))
% 5.84/6.06 (assume a565 (forall ((F tptp.fun_pname_bool) (G tptp.fun_pname_bool) (X_2 tptp.pname)) (= (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool F) G) X_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_pname_bool F X_2)) (tptp.hAPP_pname_bool G X_2))))))
% 5.84/6.06 (assume a566 (forall ((F tptp.fun_Ho320143120e_bool) (G tptp.fun_Ho320143120e_bool) (X_2 tptp.hoare_363350478_state)) (= (tptp.hBOOL (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool F) G) X_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_H1645464494e_bool F X_2)) (tptp.hAPP_H1645464494e_bool G X_2))))))
% 5.84/6.06 (assume a567 (=> (tptp.hBOOL tptp.hoare_265376576gleton) (forall ((T_2 tptp.state)) (not (forall ((S_1 tptp.state)) (= S_1 T_2))))))
% 5.84/6.06 (assume a568 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (= (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2) tptp.bot_bo844097828e_bool) (and (= X_1 tptp.bot_bo844097828e_bool) (= Y_2 tptp.bot_bo844097828e_bool)))))
% 5.84/6.06 (assume a569 (forall ((X_1 tptp.fun_com_bool) (Y_2 tptp.fun_com_bool)) (= (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool X_1) Y_2) tptp.bot_bot_fun_com_bool) (and (= X_1 tptp.bot_bot_fun_com_bool) (= Y_2 tptp.bot_bot_fun_com_bool)))))
% 5.84/6.06 (assume a570 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (= (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)) (tptp.hBOOL tptp.bot_bot_bool)) (and (= (tptp.hBOOL X_1) (tptp.hBOOL tptp.bot_bot_bool)) (= (tptp.hBOOL Y_2) (tptp.hBOOL tptp.bot_bot_bool))))))
% 5.84/6.06 (assume a571 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (= (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2) tptp.bot_bo39439654e_bool) (and (= X_1 tptp.bot_bo39439654e_bool) (= Y_2 tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a572 (forall ((X_1 tptp.com) (Xo tptp.option_com)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) (tptp.set_com Xo))) (= Xo (tptp.hAPP_com_option_com tptp.some_com X_1)))))
% 5.84/6.06 (assume a573 (forall ((X_1 tptp.hoare_363350478_state) (Xo tptp.option131732143_state)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) (tptp.set_Ho1327198534_state Xo))) (= Xo (tptp.hAPP_H1942146718_state tptp.some_H629028223_state X_1)))))
% 5.84/6.06 (assume a574 (forall ((X_1 tptp.pname) (Xo tptp.option_pname)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) (tptp.set_pname Xo))) (= Xo (tptp.hAPP_p1252095976_pname tptp.some_pname X_1)))))
% 5.84/6.06 (assume a575 (forall ((A_4 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_4) A_4) A_4)))
% 5.84/6.06 (assume a576 (forall ((A_4 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) A_4)) (tptp.hBOOL A_4))))
% 5.84/6.06 (assume a577 (forall ((A_4 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) A_4) A_4)))
% 5.84/6.06 (assume a578 (forall ((X_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) X_1) X_1)))
% 5.84/6.06 (assume a579 (forall ((X_1 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) X_1)) (tptp.hBOOL X_1))))
% 5.84/6.06 (assume a580 (forall ((X_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) X_1) X_1)))
% 5.84/6.06 (assume a581 (forall ((A_4 tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_4) B_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B_1) A_4))))
% 5.84/6.06 (assume a582 (forall ((A_4 tptp.bool) (B_1 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) B_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool B_1) A_4)))))
% 5.84/6.06 (assume a583 (forall ((A_4 tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) B_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B_1) A_4))))
% 5.84/6.06 (assume a584 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_2) X_1))))
% 5.84/6.06 (assume a585 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) X_1)))))
% 5.84/6.06 (assume a586 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) X_1))))
% 5.84/6.06 (assume a587 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_2) X_1))))
% 5.84/6.06 (assume a588 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) X_1)))))
% 5.84/6.06 (assume a589 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) X_1))))
% 5.84/6.06 (assume a590 (forall ((A_4 tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_4) B_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_4) B_1))))
% 5.84/6.06 (assume a591 (forall ((A_4 tptp.bool) (B_1 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) B_1))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) B_1)))))
% 5.84/6.06 (assume a592 (forall ((A_4 tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) B_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) B_1))))
% 5.84/6.06 (assume a593 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2))))
% 5.84/6.06 (assume a594 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)))))
% 5.84/6.06 (assume a595 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2))))
% 5.84/6.06 (assume a596 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2))))
% 5.84/6.06 (assume a597 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)))))
% 5.84/6.06 (assume a598 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2))))
% 5.84/6.06 (assume a599 (forall ((B_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (C tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_4) C)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B_1) C)))))
% 5.84/6.06 (assume a600 (forall ((B_1 tptp.bool) (A_4 tptp.bool) (C tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool B_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) C))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool B_1) C))))))
% 5.84/6.06 (assume a601 (forall ((B_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (C tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) C)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B_1) C)))))
% 5.84/6.06 (assume a602 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_2) Z)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Z)))))
% 5.84/6.06 (assume a603 (forall ((X_1 tptp.bool) (Y_2 tptp.bool) (Z tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) Z))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Z))))))
% 5.84/6.06 (assume a604 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) Z)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Z)))))
% 5.84/6.06 (assume a605 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_2) Z)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Z)))))
% 5.84/6.06 (assume a606 (forall ((X_1 tptp.bool) (Y_2 tptp.bool) (Z tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) Z))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Z))))))
% 5.84/6.06 (assume a607 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) Z)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Z)))))
% 5.84/6.06 (assume a608 (forall ((A_4 tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool) (C tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_4) B_1)) C) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B_1) C)))))
% 5.84/6.06 (assume a609 (forall ((A_4 tptp.bool) (B_1 tptp.bool) (C tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) B_1)) C)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool B_1) C))))))
% 5.84/6.06 (assume a610 (forall ((A_4 tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool) (C tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) B_1)) C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B_1) C)))))
% 5.84/6.06 (assume a611 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2)) Z) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_2) Z)))))
% 5.84/6.06 (assume a612 (forall ((X_1 tptp.bool) (Y_2 tptp.bool) (Z tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)) Z)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) Z))))))
% 5.84/6.06 (assume a613 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)) Z) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) Z)))))
% 5.84/6.06 (assume a614 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2)) Z) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_2) Z)))))
% 5.84/6.06 (assume a615 (forall ((X_1 tptp.bool) (Y_2 tptp.bool) (Z tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)) Z)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) Z))))))
% 5.84/6.06 (assume a616 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)) Z) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) Z)))))
% 5.84/6.06 (assume a617 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (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_2)))))
% 5.84/6.06 (assume a618 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)))))
% 5.84/6.06 (assume a619 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)))))
% 5.84/6.06 (assume a620 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (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_2)))))
% 5.84/6.06 (assume a621 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)))))
% 5.84/6.06 (assume a622 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)))))
% 5.84/6.06 (assume a623 (forall ((Y_2 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2)))))
% 5.84/6.06 (assume a624 (forall ((Y_2 tptp.bool) (X_1 tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)))))
% 5.84/6.06 (assume a625 (forall ((Y_2 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)))))
% 5.84/6.06 (assume a626 (forall ((Y_2 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2)))))
% 5.84/6.06 (assume a627 (forall ((Y_2 tptp.bool) (X_1 tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)))))
% 5.84/6.06 (assume a628 (forall ((Y_2 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)))))
% 5.84/6.06 (assume a629 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_2)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2) Y_2))))
% 5.84/6.06 (assume a630 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_2)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)) (tptp.hBOOL Y_2)))))
% 5.84/6.06 (assume a631 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Y_2)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2) Y_2))))
% 5.84/6.06 (assume a632 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool)) (= (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_2)) 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_2) Z))))))
% 5.84/6.06 (assume a633 (forall ((X_1 tptp.bool) (Y_2 tptp.bool) (Z tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)) Z)) (and (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Z)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) Z))))))
% 5.84/6.06 (assume a634 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)) Z)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Z)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_2) Z))))))
% 5.84/6.06 (assume a635 (forall ((B_1 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) A_4)) (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_4) B_1))))))
% 5.84/6.06 (assume a636 (forall ((B_1 tptp.bool) (X_1 tptp.bool) (A_4 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) A_4)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) B_1))))))
% 5.84/6.06 (assume a637 (forall ((B_1 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) A_4)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) B_1))))))
% 5.84/6.06 (assume a638 (forall ((A_4 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool)) (=> (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_4) B_1))))))
% 5.84/6.06 (assume a639 (forall ((A_4 tptp.bool) (X_1 tptp.bool) (B_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) B_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) B_1))))))
% 5.84/6.06 (assume a640 (forall ((A_4 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) B_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) B_1))))))
% 5.84/6.06 (assume a641 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_2)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2) Y_2))))
% 5.84/6.06 (assume a642 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_2)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)) (tptp.hBOOL Y_2)))))
% 5.84/6.06 (assume a643 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Y_2)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2) Y_2))))
% 5.84/6.06 (assume a644 (forall ((Y_2 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2) X_1))))
% 5.84/6.06 (assume a645 (forall ((Y_2 tptp.bool) (X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_1)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)) (tptp.hBOOL X_1)))))
% 5.84/6.06 (assume a646 (forall ((Y_2 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_2) X_1)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2) X_1))))
% 5.84/6.06 (assume a647 (forall ((B_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_4) 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_4) B_1)) X_1))))))
% 5.84/6.06 (assume a648 (forall ((B_1 tptp.bool) (A_4 tptp.bool) (X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_4) X_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool B_1) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) B_1)) X_1))))))
% 5.84/6.06 (assume a649 (forall ((B_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A_4) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B_1) X_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) B_1)) X_1))))))
% 5.84/6.06 (assume a650 (forall ((Z tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) 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_2) Z)) X_1))))))
% 5.84/6.06 (assume a651 (forall ((Z tptp.bool) (Y_2 tptp.bool) (X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Z) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) Z)) X_1))))))
% 5.84/6.06 (assume a652 (forall ((Z tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_2) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Z) X_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) Z)) X_1))))))
% 5.84/6.06 (assume a653 (forall ((B_1 tptp.fun_pname_bool) (D_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (C tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_4) C)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) 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_4) B_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool C) D_1)))))))
% 5.84/6.06 (assume a654 (forall ((B_1 tptp.bool) (D_1 tptp.bool) (A_4 tptp.bool) (C tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_4) C)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool B_1) D_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) B_1)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool C) D_1)))))))
% 5.84/6.06 (assume a655 (forall ((B_1 tptp.fun_Ho320143120e_bool) (D_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (C tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A_4) C)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B_1) D_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) B_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool C) D_1)))))))
% 5.84/6.06 (assume a656 (forall ((A_4 tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (=> (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_4) B_1)) X_1)) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_4) X_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) X_1))))))))
% 5.84/6.06 (assume a657 (forall ((A_4 tptp.bool) (B_1 tptp.bool) (X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) B_1)) X_1)) (not (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_4) X_1)) (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool B_1) X_1))))))))
% 5.84/6.06 (assume a658 (forall ((A_4 tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) B_1)) X_1)) (not (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A_4) X_1)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B_1) X_1))))))))
% 5.84/6.06 (assume a659 (forall ((X_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool tptp.bot_bo844097828e_bool) X_1) X_1)))
% 5.84/6.06 (assume a660 (forall ((X_1 tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool tptp.bot_bot_fun_com_bool) X_1) X_1)))
% 5.84/6.06 (assume a661 (forall ((X_1 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool tptp.bot_bot_bool) X_1)) (tptp.hBOOL X_1))))
% 5.84/6.06 (assume a662 (forall ((X_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool tptp.bot_bo39439654e_bool) X_1) X_1)))
% 5.84/6.06 (assume a663 (forall ((X_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) tptp.bot_bo844097828e_bool) X_1)))
% 5.84/6.06 (assume a664 (forall ((X_1 tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool X_1) tptp.bot_bot_fun_com_bool) X_1)))
% 5.84/6.06 (assume a665 (forall ((X_1 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) tptp.bot_bot_bool)) (tptp.hBOOL X_1))))
% 5.84/6.06 (assume a666 (forall ((X_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) tptp.bot_bo39439654e_bool) X_1)))
% 5.84/6.06 (assume a667 (forall ((X_1 tptp.pname) (P_1 tptp.fun_pname_bool) (A tptp.option_pname)) (=> (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) (tptp.set_pname A))) (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_2)))) (=> (= A (tptp.hAPP_p1252095976_pname tptp.some_pname X_1)) (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_1))))))
% 5.84/6.06 (assume a668 (forall ((X_1 tptp.hoare_363350478_state) (P_1 tptp.fun_Ho320143120e_bool) (A tptp.option131732143_state)) (=> (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) (tptp.set_Ho1327198534_state A))) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_2)))) (=> (= A (tptp.hAPP_H1942146718_state tptp.some_H629028223_state X_1)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_1))))))
% 5.84/6.06 (assume a669 (forall ((X_1 tptp.com) (P_1 tptp.fun_com_bool) (A tptp.option_com)) (=> (forall ((X_2 tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) (tptp.set_com A))) (tptp.hBOOL (tptp.hAPP_com_bool P_1 X_2)))) (=> (= A (tptp.hAPP_com_option_com tptp.some_com X_1)) (tptp.hBOOL (tptp.hAPP_com_bool P_1 X_1))))))
% 5.84/6.06 (assume a670 (forall ((B tptp.fun_fu1430349052l_bool) (A tptp.fun_fu1430349052l_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1268145088e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (not (= A 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) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F (tptp.hAPP_f674760225e_bool Fa A)) (tptp.hAPP_f674760225e_bool Fa B))))))))))
% 5.84/6.06 (assume a671 (forall ((B tptp.fun_fu1996308102l_bool) (A tptp.fun_fu1996308102l_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite2090946954e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (not (= A tptp.bot_bo133096688l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool B)) (=> (not (= B tptp.bot_bo133096688l_bool)) (= (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila862847378l_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F (tptp.hAPP_f1180969799e_bool Fa A)) (tptp.hAPP_f1180969799e_bool Fa B))))))))))
% 5.84/6.06 (assume a672 (forall ((B tptp.fun_com_bool) (A tptp.fun_com_bool) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite666746948em_com F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (=> (not (= A tptp.bot_bot_fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com B)) (=> (not (= B tptp.bot_bot_fun_com_bool)) (= (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) B)) (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F (tptp.hAPP_f1276420679ol_com Fa A)) (tptp.hAPP_f1276420679ol_com Fa B))))))))))
% 5.84/6.06 (assume a673 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite2031572_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (not (= A tptp.bot_bo39439654e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state B)) (=> (not (= B tptp.bot_bo39439654e_bool)) (= (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)) (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F (tptp.hAPP_f1242401993_state Fa A)) (tptp.hAPP_f1242401993_state Fa B))))))))))
% 5.84/6.06 (assume a674 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite89670078_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (not (= A 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) B)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F (tptp.hAPP_f1297739591_pname Fa A)) (tptp.hAPP_f1297739591_pname Fa B))))))))))
% 5.84/6.06 (assume a675 (forall ((B tptp.fun_fu1430349052l_bool) (A tptp.fun_fu1430349052l_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1268145088e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (not (= B tptp.bot_bo1649642514l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F (tptp.hAPP_f674760225e_bool Fa B)) (tptp.hAPP_f674760225e_bool Fa A)) (tptp.hAPP_f674760225e_bool Fa A))))))))
% 5.84/6.06 (assume a676 (forall ((B tptp.fun_fu1996308102l_bool) (A tptp.fun_fu1996308102l_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite2090946954e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (not (= B tptp.bot_bo133096688l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool B) A)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F (tptp.hAPP_f1180969799e_bool Fa B)) (tptp.hAPP_f1180969799e_bool Fa A)) (tptp.hAPP_f1180969799e_bool Fa A))))))))
% 5.84/6.06 (assume a677 (forall ((B tptp.fun_com_bool) (A tptp.fun_com_bool) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite666746948em_com F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (=> (not (= B tptp.bot_bot_fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool B) A)) (= (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F (tptp.hAPP_f1276420679ol_com Fa B)) (tptp.hAPP_f1276420679ol_com Fa A)) (tptp.hAPP_f1276420679ol_com Fa A))))))))
% 5.84/6.06 (assume a678 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite2031572_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (not (= B tptp.bot_bo39439654e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) A)) (= (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F (tptp.hAPP_f1242401993_state Fa B)) (tptp.hAPP_f1242401993_state Fa A)) (tptp.hAPP_f1242401993_state Fa A))))))))
% 5.84/6.06 (assume a679 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite89670078_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (not (= B tptp.bot_bo844097828e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A)) (= (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F (tptp.hAPP_f1297739591_pname Fa B)) (tptp.hAPP_f1297739591_pname Fa A)) (tptp.hAPP_f1297739591_pname Fa A))))))))
% 5.84/6.06 (assume a680 (forall ((G_2 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_st1506752259e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) tptp.skip) P_1)) tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a681 (forall ((X_1 tptp.com) (A tptp.fun_com_bool) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite666746948em_com F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (=> (not (= A tptp.bot_bot_fun_com_bool)) (= (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A)) (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F X_1) (tptp.hAPP_f1276420679ol_com Fa A))))))))
% 5.84/6.06 (assume a682 (forall ((X_1 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1268145088e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (not (= A tptp.bot_bo1649642514l_bool)) (= (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F X_1) (tptp.hAPP_f674760225e_bool Fa A))))))))
% 5.84/6.06 (assume a683 (forall ((X_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite2090946954e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (not (= A tptp.bot_bo133096688l_bool)) (= (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_1) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F X_1) (tptp.hAPP_f1180969799e_bool Fa A))))))))
% 5.84/6.06 (assume a684 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite89670078_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (not (= A tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) (tptp.hAPP_f1297739591_pname Fa A))))))))
% 5.84/6.06 (assume a685 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite2031572_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (not (= A tptp.bot_bo39439654e_bool)) (= (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A)) (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F X_1) (tptp.hAPP_f1242401993_state Fa A))))))))
% 5.84/6.06 (assume a686 (forall ((P_1 tptp.fun_fu1362071682l_bool) (Fa tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com Fa)) (=> (not (= Fa tptp.bot_bot_fun_com_bool)) (=> (forall ((X_2 tptp.com)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_2) tptp.bot_bot_fun_com_bool)))) (=> (forall ((X_2 tptp.com) (F_2 tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com F_2)) (=> (not (= F_2 tptp.bot_bot_fun_com_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 Fa))))))))
% 5.84/6.06 (assume a687 (forall ((P_1 tptp.fun_fu399576434l_bool) (Fa tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (=> (not (= Fa tptp.bot_bo1649642514l_bool)) (=> (forall ((X_2 tptp.fun_pname_bool)) (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 tptp.fun_pname_bool) (F_2 tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_2)) (=> (not (= F_2 tptp.bot_bo1649642514l_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 Fa))))))))
% 5.84/6.06 (assume a688 (forall ((P_1 tptp.fun_fu1972704968l_bool) (Fa tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool Fa)) (=> (not (= Fa tptp.bot_bo133096688l_bool)) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_2) tptp.bot_bo133096688l_bool)))) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool) (F_2 tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool F_2)) (=> (not (= F_2 tptp.bot_bo133096688l_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 Fa))))))))
% 5.84/6.06 (assume a689 (forall ((P_1 tptp.fun_fu1430349052l_bool) (Fa tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (=> (not (= Fa tptp.bot_bo844097828e_bool)) (=> (forall ((X_2 tptp.pname)) (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 tptp.pname) (F_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_2)) (=> (not (= F_2 tptp.bot_bo844097828e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 Fa))))))))
% 5.84/6.06 (assume a690 (forall ((P_1 tptp.fun_fu1996308102l_bool) (Fa tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state Fa)) (=> (not (= Fa tptp.bot_bo39439654e_bool)) (=> (forall ((X_2 tptp.hoare_363350478_state)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_2) tptp.bot_bo39439654e_bool)))) (=> (forall ((X_2 tptp.hoare_363350478_state) (F_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state F_2)) (=> (not (= F_2 tptp.bot_bo39439654e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 F_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 Fa))))))))
% 5.84/6.06 (assume a691 (forall ((G_2 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_st1506752259e_bool) (B_1 tptp.fun_state_bool) (C tptp.com)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_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.hAPP_com_com (tptp.while B_1) C)) P_1)) tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a692 (forall ((D_1 tptp.com) (R_1 tptp.fun_st1506752259e_bool) (G_2 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_st1506752259e_bool) (C tptp.com) (Q_1 tptp.fun_st1506752259e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) C) Q_1)) tptp.bot_bo39439654e_bool))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state Q_1) D_1) R_1)) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi C) D_1)) R_1)) tptp.bot_bo39439654e_bool)))))))
% 5.84/6.06 (assume a693 (forall ((B_1 tptp.fun_state_bool) (C tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt (tptp.hAPP_com_com (tptp.while B_1) C))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)))))
% 5.84/6.06 (assume a694 (forall ((C1 tptp.com) (C2 tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi C1) C2))) (not (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C1)) (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C2))))))))
% 5.84/6.06 (assume a695 (forall ((X_1 tptp.hoare_363350478_state) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite2031572_state F Fa)) (= (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F X_1) X_1) X_1))))
% 5.84/6.06 (assume a696 (forall ((X_1 tptp.pname) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite89670078_pname F Fa)) (= (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) X_1) X_1))))
% 5.84/6.06 (assume a697 (forall ((Com1_3 tptp.com) (Com2_3 tptp.com)) (not (= tptp.skip (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi Com1_3) Com2_3)))))
% 5.84/6.06 (assume a698 (forall ((Fun_1 tptp.fun_state_bool) (Com_2 tptp.com)) (not (= tptp.skip (tptp.hAPP_com_com (tptp.while Fun_1) Com_2)))))
% 5.84/6.06 (assume a699 (forall ((Com1_3 tptp.com) (Com2_3 tptp.com)) (not (= (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi Com1_3) Com2_3) tptp.skip))))
% 5.84/6.06 (assume a700 (forall ((Fun_1 tptp.fun_state_bool) (Com_2 tptp.com)) (not (= (tptp.hAPP_com_com (tptp.while Fun_1) Com_2) tptp.skip))))
% 5.84/6.06 (assume a701 (forall ((Com1_2 tptp.com) (Com2_2 tptp.com) (Fun_1 tptp.fun_state_bool) (Com_2 tptp.com)) (not (= (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi Com1_2) Com2_2) (tptp.hAPP_com_com (tptp.while Fun_1) Com_2)))))
% 5.84/6.06 (assume a702 (forall ((Fun_1 tptp.fun_state_bool) (Com_2 tptp.com) (Com1_2 tptp.com) (Com2_2 tptp.com)) (not (= (tptp.hAPP_com_com (tptp.while Fun_1) Com_2) (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi Com1_2) Com2_2)))))
% 5.84/6.06 (assume a703 (forall ((Com1_2 tptp.com) (Com2_2 tptp.com) (Com1_1 tptp.com) (Com2_1 tptp.com)) (= (= (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi Com1_2) Com2_2) (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi Com1_1) Com2_1)) (and (= Com1_2 Com1_1) (= Com2_2 Com2_1)))))
% 5.84/6.06 (assume a704 (forall ((Fun tptp.fun_state_bool) (Com_1 tptp.com) (Fun_1 tptp.fun_state_bool) (Com_2 tptp.com)) (= (= (tptp.hAPP_com_com (tptp.while Fun) Com_1) (tptp.hAPP_com_com (tptp.while Fun_1) Com_2)) (and (= Fun Fun_1) (= Com_1 Com_2)))))
% 5.84/6.06 (assume a705 (forall ((Pname_1 tptp.pname) (Fun tptp.fun_state_bool) (Com_1 tptp.com)) (not (= (tptp.hAPP_pname_com tptp.body_1 Pname_1) (tptp.hAPP_com_com (tptp.while Fun) Com_1)))))
% 5.84/6.06 (assume a706 (forall ((Fun tptp.fun_state_bool) (Com_1 tptp.com) (Pname_1 tptp.pname)) (not (= (tptp.hAPP_com_com (tptp.while Fun) Com_1) (tptp.hAPP_pname_com tptp.body_1 Pname_1)))))
% 5.84/6.06 (assume a707 (forall ((B_1 tptp.fun_state_bool) (C tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt (tptp.hAPP_com_com (tptp.while B_1) C))))))
% 5.84/6.06 (assume a708 (forall ((Pname tptp.pname) (Com1 tptp.com) (Com2 tptp.com)) (not (= (tptp.hAPP_pname_com tptp.body_1 Pname) (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi Com1) Com2)))))
% 5.84/6.06 (assume a709 (forall ((Com1 tptp.com) (Com2 tptp.com) (Pname tptp.pname)) (not (= (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi Com1) Com2) (tptp.hAPP_pname_com tptp.body_1 Pname)))))
% 5.84/6.06 (assume a710 (forall ((C1 tptp.com) (C0 tptp.com)) (=> (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.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi C0) C1)))))))
% 5.84/6.06 (assume a711 (forall ((Pname tptp.pname)) (not (= tptp.skip (tptp.hAPP_pname_com tptp.body_1 Pname)))))
% 5.84/6.06 (assume a712 (forall ((Pname tptp.pname)) (not (= (tptp.hAPP_pname_com tptp.body_1 Pname) tptp.skip))))
% 5.84/6.06 (assume a713 (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.skip)))
% 5.84/6.06 (assume a714 (forall ((X_1 tptp.com) (A tptp.fun_com_bool) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite666746948em_com F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (= (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F X_1) (tptp.hAPP_f1276420679ol_com Fa A)) (tptp.hAPP_f1276420679ol_com Fa A)))))))
% 5.84/6.06 (assume a715 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite89670078_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) (tptp.hAPP_f1297739591_pname Fa A)) (tptp.hAPP_f1297739591_pname Fa A)))))))
% 5.84/6.06 (assume a716 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite2031572_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (= (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F X_1) (tptp.hAPP_f1242401993_state Fa A)) (tptp.hAPP_f1242401993_state Fa A)))))))
% 5.84/6.06 (assume a717 (forall ((X_1 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1268145088e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F X_1) (tptp.hAPP_f674760225e_bool Fa A)) (tptp.hAPP_f674760225e_bool Fa A)))))))
% 5.84/6.06 (assume a718 (forall ((X_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite2090946954e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_1) A)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F X_1) (tptp.hAPP_f1180969799e_bool Fa A)) (tptp.hAPP_f1180969799e_bool Fa A)))))))
% 5.84/6.06 (assume a719 (forall ((N tptp.fun_fu1430349052l_bool) (H_1 tptp.fun_fu410713561e_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1268145088e_bool F Fa)) (=> (forall ((X_2 tptp.fun_pname_bool) (Y_3 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool H_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F X_2) Y_3)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F (tptp.hAPP_f759274231e_bool H_1 X_2)) (tptp.hAPP_f759274231e_bool H_1 Y_3)))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool N)) (=> (not (= N tptp.bot_bo1649642514l_bool)) (= (tptp.hAPP_f759274231e_bool H_1 (tptp.hAPP_f674760225e_bool Fa N)) (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.image_2063528359e_bool H_1) N)))))))))
% 5.84/6.06 (assume a720 (forall ((N tptp.fun_fu1996308102l_bool) (H_1 tptp.fun_fu1066574909e_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite2090946954e_bool F Fa)) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool) (Y_3 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool H_1 (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F X_2) Y_3)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F (tptp.hAPP_f1749453397e_bool H_1 X_2)) (tptp.hAPP_f1749453397e_bool H_1 Y_3)))) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool N)) (=> (not (= N tptp.bot_bo133096688l_bool)) (= (tptp.hAPP_f1749453397e_bool H_1 (tptp.hAPP_f1180969799e_bool Fa N)) (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.image_1332939013e_bool H_1) N)))))))))
% 5.84/6.06 (assume a721 (forall ((N tptp.fun_pname_bool) (H_1 tptp.fun_pname_pname) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite89670078_pname F Fa)) (=> (forall ((X_2 tptp.pname) (Y_3 tptp.pname)) (= (tptp.hAPP_pname_pname H_1 (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_2) Y_3)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F (tptp.hAPP_pname_pname H_1 X_2)) (tptp.hAPP_pname_pname H_1 Y_3)))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname N)) (=> (not (= N tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_pname_pname H_1 (tptp.hAPP_f1297739591_pname Fa N)) (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname H_1) N)))))))))
% 5.84/6.06 (assume a722 (forall ((N tptp.fun_Ho320143120e_bool) (H_1 tptp.fun_Ho901937921_state) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite2031572_state F Fa)) (=> (forall ((X_2 tptp.hoare_363350478_state) (Y_3 tptp.hoare_363350478_state)) (= (tptp.hAPP_H1982017439_state H_1 (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F X_2) Y_3)) (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F (tptp.hAPP_H1982017439_state H_1 X_2)) (tptp.hAPP_H1982017439_state H_1 Y_3)))) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state N)) (=> (not (= N tptp.bot_bo39439654e_bool)) (= (tptp.hAPP_H1982017439_state H_1 (tptp.hAPP_f1242401993_state Fa N)) (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.image_2068641359_state H_1) N)))))))))
% 5.84/6.06 (assume a723 (forall ((N tptp.fun_com_bool) (H_1 tptp.fun_com_com) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite666746948em_com F Fa)) (=> (forall ((X_2 tptp.com) (Y_3 tptp.com)) (= (tptp.hAPP_com_com H_1 (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F X_2) Y_3)) (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F (tptp.hAPP_com_com H_1 X_2)) (tptp.hAPP_com_com H_1 Y_3)))) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com N)) (=> (not (= N tptp.bot_bot_fun_com_bool)) (= (tptp.hAPP_com_com H_1 (tptp.hAPP_f1276420679ol_com Fa N)) (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.image_com_com H_1) N)))))))))
% 5.84/6.06 (assume a724 (forall ((X_4 tptp.fun_com_bool)) (= (tptp.hAPP_f1276420679ol_com tptp.the_elem_com X_4) (tptp.hAPP_f1276420679ol_com tptp.the_com_1 (tptp.hAPP_f1998868198m_bool (tptp.cOMBB_298914627ol_com (tptp.hAPP_f273696895l_bool tptp.fequal_fun_com_bool X_4)) (tptp.hAPP_f721468006m_bool (tptp.hAPP_f947797701m_bool tptp.cOMBC_1977231931m_bool tptp.insert_com) tptp.bot_bot_fun_com_bool))))))
% 5.84/6.06 (assume a725 (forall ((X_4 tptp.fun_pname_bool)) (= (tptp.hAPP_f1297739591_pname tptp.the_elem_pname X_4) (tptp.hAPP_f1297739591_pname tptp.the_pname (tptp.hAPP_f42430548e_bool (tptp.cOMBB_530759491_pname (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool X_4)) (tptp.hAPP_f180827860e_bool (tptp.hAPP_f698292281e_bool tptp.cOMBC_1123258281e_bool tptp.insert_pname) tptp.bot_bo844097828e_bool))))))
% 5.84/6.06 (assume a726 (forall ((X_4 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1242401993_state tptp.the_el1666657391_state X_4) (tptp.hAPP_f1242401993_state tptp.the_Ho1653144541_state (tptp.hAPP_f265222234e_bool (tptp.cOMBB_1356223341_state (tptp.hAPP_f726209793l_bool tptp.fequal731041167e_bool X_4)) (tptp.hAPP_f596150574e_bool (tptp.hAPP_f961492031e_bool tptp.cOMBC_1774708299e_bool tptp.insert1330351828_state) tptp.bot_bo39439654e_bool))))))
% 5.84/6.06 (assume a727 (forall ((X_1 tptp.com) (A tptp.fun_com_bool) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite860057415ne_com F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A))) (=> (not (= A tptp.bot_bot_fun_com_bool)) (= (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A)) (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F X_1) (tptp.hAPP_f1276420679ol_com Fa A)))))))))
% 5.84/6.06 (assume a728 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (=> (not (= A tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) (tptp.hAPP_f1297739591_pname Fa A)))))))))
% 5.84/6.06 (assume a729 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite269920017_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A))) (=> (not (= A tptp.bot_bo39439654e_bool)) (= (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A)) (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F X_1) (tptp.hAPP_f1242401993_state Fa A)))))))))
% 5.84/6.06 (assume a730 (forall ((X_1 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A))) (=> (not (= A tptp.bot_bo1649642514l_bool)) (= (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F X_1) (tptp.hAPP_f674760225e_bool Fa A)))))))))
% 5.84/6.06 (assume a731 (forall ((X_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite1264277005e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_1) A))) (=> (not (= A tptp.bot_bo133096688l_bool)) (= (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_1) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F X_1) (tptp.hAPP_f1180969799e_bool Fa A)))))))))
% 5.84/6.06 (assume a732 (forall ((Y_2 tptp.hoare_363350478_state)) (not (forall ((Fun1 tptp.fun_st1506752259e_bool) (Com tptp.com) (Fun2 tptp.fun_st1506752259e_bool)) (not (= Y_2 (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state Fun1) Com) Fun2)))))))
% 5.84/6.06 (assume a733 (forall ((X_1 tptp.com) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite860057415ne_com F Fa)) (= (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool)) X_1))))
% 5.84/6.06 (assume a734 (forall ((X_1 tptp.pname) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (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))))
% 5.84/6.06 (assume a735 (forall ((X_1 tptp.hoare_363350478_state) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite269920017_state F Fa)) (= (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool)) X_1))))
% 5.84/6.06 (assume a736 (forall ((A tptp.fun_com_bool) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite860057415ne_com F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (=> (not (= A tptp.bot_bot_fun_com_bool)) (=> (forall ((X_2 tptp.com) (Y_3 tptp.com)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F X_2) Y_3)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_2) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com Y_3) tptp.bot_bot_fun_com_bool))))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com (tptp.hAPP_f1276420679ol_com Fa A)) A))))))))
% 5.84/6.06 (assume a737 (forall ((A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (not (= A tptp.bot_bo844097828e_bool)) (=> (forall ((X_2 tptp.pname) (Y_3 tptp.pname)) (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_3)) (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_3) tptp.bot_bo844097828e_bool))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_f1297739591_pname Fa A)) A))))))))
% 5.84/6.06 (assume a738 (forall ((A tptp.fun_Ho320143120e_bool) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite269920017_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (not (= A tptp.bot_bo39439654e_bool)) (=> (forall ((X_2 tptp.hoare_363350478_state) (Y_3 tptp.hoare_363350478_state)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F X_2) Y_3)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state Y_3) tptp.bot_bo39439654e_bool))))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state (tptp.hAPP_f1242401993_state Fa A)) A))))))))
% 5.84/6.06 (assume a739 (forall ((A tptp.fun_fu1430349052l_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (not (= A tptp.bot_bo1649642514l_bool)) (=> (forall ((X_2 tptp.fun_pname_bool) (Y_3 tptp.fun_pname_bool)) (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_3)) (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_3) tptp.bot_bo1649642514l_bool))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool (tptp.hAPP_f674760225e_bool Fa A)) A))))))))
% 5.84/6.06 (assume a740 (forall ((A tptp.fun_fu1996308102l_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite1264277005e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (not (= A tptp.bot_bo133096688l_bool)) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool) (Y_3 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F X_2) Y_3)) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_2) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool Y_3) tptp.bot_bo133096688l_bool))))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool (tptp.hAPP_f1180969799e_bool Fa A)) A))))))))
% 5.84/6.06 (assume a741 (forall ((F tptp.fun_pn1262351275_state) (G tptp.fun_pn1262351275_state) (M_1 tptp.fun_pname_bool) (N tptp.fun_pname_bool)) (=> (= M_1 N) (=> (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) N)) (= (tptp.hAPP_p1337579261_state F X_2) (tptp.hAPP_p1337579261_state G X_2)))) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) M_1) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state G) N))))))
% 5.84/6.06 (assume a742 (forall ((Q_1 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_Ho320143120e_bool)) (=> (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool Q_1 X_2)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state P_1)) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state Q_1))))))
% 5.84/6.06 (assume a743 (forall ((Q_1 tptp.fun_pname_bool) (P_1 tptp.fun_pname_bool)) (=> (forall ((X_2 tptp.pname)) (=> (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))))))
% 5.84/6.06 (assume a744 (forall ((Q_1 tptp.fun_fu1430349052l_bool) (P_1 tptp.fun_fu1430349052l_bool)) (=> (forall ((X_2 tptp.fun_pname_bool)) (=> (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))))))
% 5.84/6.06 (assume a745 (forall ((Q_1 tptp.fun_fu1996308102l_bool) (P_1 tptp.fun_fu1996308102l_bool)) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool Q_1 X_2)))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool P_1)) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool Q_1))))))
% 5.84/6.06 (assume a746 (forall ((Q_1 tptp.fun_pname_bool) (P_1 tptp.fun_pname_bool)) (=> (forall ((X_2 tptp.pname)) (=> (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)))))
% 5.84/6.06 (assume a747 (forall ((Q_1 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_Ho320143120e_bool)) (=> (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool Q_1 X_2)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool P_1) Q_1)))))
% 5.84/6.06 (assume a748 (forall ((A_4 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) A)) (exists ((B_2 tptp.fun_com_bool)) (and (= A (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B_2)) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) B_2))))))))
% 5.84/6.06 (assume a749 (forall ((A_4 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) A)) (exists ((B_2 tptp.fun_pname_bool)) (and (= A (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B_2)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) B_2))))))))
% 5.84/6.06 (assume a750 (forall ((A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) A)) (exists ((B_2 tptp.fun_Ho320143120e_bool)) (and (= A (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B_2)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) B_2))))))))
% 5.84/6.06 (assume a751 (forall ((X_1 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (not (forall ((B_2 tptp.fun_com_bool)) (=> (= A (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) B_2)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) B_2))))))))
% 5.84/6.06 (assume a752 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (not (forall ((B_2 tptp.fun_pname_bool)) (=> (= A (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))))))))
% 5.84/6.06 (assume a753 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (not (forall ((B_2 tptp.fun_Ho320143120e_bool)) (=> (= A (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) B_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) B_2))))))))
% 5.84/6.06 (assume a754 (forall ((A tptp.fun_com_bool)) (=> (forall ((Y_3 tptp.com)) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com Y_3) A)))) (= A tptp.bot_bot_fun_com_bool))))
% 5.84/6.06 (assume a755 (forall ((A tptp.fun_pname_bool)) (=> (forall ((Y_3 tptp.pname)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname Y_3) A)))) (= A tptp.bot_bo844097828e_bool))))
% 5.84/6.06 (assume a756 (forall ((A tptp.fun_Ho320143120e_bool)) (=> (forall ((Y_3 tptp.hoare_363350478_state)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state Y_3) A)))) (= A tptp.bot_bo39439654e_bool))))
% 5.84/6.06 (assume a757 (forall ((G_2 tptp.fun_Ho320143120e_bool) (C tptp.com)) (=> (tptp.hBOOL tptp.hoare_265376576gleton) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_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_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool)))))))
% 5.84/6.06 (assume a758 (forall ((C tptp.bool) (F tptp.fun_bool_bool) (B_1 tptp.bool) (A_4 tptp.bool)) (=> (= (tptp.hBOOL A_4) (tptp.hBOOL (tptp.hAPP_bool_bool F B_1))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool C) B_1)) (=> (forall ((X_2 tptp.bool) (Y_3 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_3) X_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool F Y_3)) (tptp.hAPP_bool_bool F X_2))))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool F C)) A_4)))))))
% 5.84/6.06 (assume a759 (forall ((C tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (F tptp.fun_fu410713561e_bool) (B_1 tptp.fun_pname_bool)) (=> (= A_4 (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 tptp.fun_pname_bool) (Y_3 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_3) X_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool F Y_3)) (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_4)))))))
% 5.84/6.06 (assume a760 (forall ((C tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (F tptp.fun_fu1066574909e_bool) (B_1 tptp.fun_Ho320143120e_bool)) (=> (= A_4 (tptp.hAPP_f1749453397e_bool F B_1)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C) B_1)) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool) (Y_3 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_3) X_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool F Y_3)) (tptp.hAPP_f1749453397e_bool F X_2))))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool F C)) A_4)))))))
% 5.84/6.06 (assume a761 (forall ((G_2 tptp.fun_Ho320143120e_bool) (C tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_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_bo39439654e_bool))))))
% 5.84/6.06 (assume a762 (forall ((C tptp.com)) (= (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C) (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state tptp.fequal_state) C) (tptp.evalc C)))))
% 5.84/6.06 (assume a763 (forall ((P tptp.pname) (S_4 tptp.state) (S1_2 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_pname_com tptp.body_1 P)) S_4) S1_2)) (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_4) S1_2)))))
% 5.84/6.06 (assume a764 (forall ((Pn tptp.pname) (S0_1 tptp.state) (S1_2 tptp.state)) (=> (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_1) S1_2)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_pname_com tptp.body_1 Pn)) S0_1) S1_2)))))
% 5.84/6.06 (assume a765 (forall ((S_4 tptp.state) (T_1 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc tptp.skip) S_4) T_1)) (= T_1 S_4))))
% 5.84/6.06 (assume a766 (forall ((S_4 tptp.state)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc tptp.skip) S_4) S_4))))
% 5.84/6.06 (assume a767 (forall ((C1 tptp.com) (S2_1 tptp.state) (C0 tptp.com) (S0_1 tptp.state) (S1_2 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C0) S0_1) S1_2)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C1) S1_2) S2_1)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi C0) C1)) S0_1) S2_1))))))
% 5.84/6.06 (assume a768 (forall ((S2 tptp.state) (C tptp.com) (S1_1 tptp.state) (B_1 tptp.fun_state_bool) (S0 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool B_1 S0)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C) S0) S1_1)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_com_com (tptp.while B_1) C)) S1_1) S2)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_com_com (tptp.while B_1) C)) S0) S2)))))))
% 5.84/6.06 (assume a769 (forall ((C tptp.com) (B_1 tptp.fun_state_bool) (S_3 tptp.state)) (=> (not (tptp.hBOOL (tptp.hAPP_state_bool B_1 S_3))) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_com_com (tptp.while B_1) C)) S_3) S_3)))))
% 5.84/6.06 (assume a770 (forall ((U tptp.state) (C_2 tptp.com) (S_4 tptp.state) (T_1 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C_2) S_4) T_1)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C_2) S_4) U)) (= U T_1)))))
% 5.84/6.06 (assume a771 (forall ((C1 tptp.com) (C2 tptp.com) (S_4 tptp.state) (T_1 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com tptp.semi C1) C2)) S_4) T_1)) (not (forall ((S1 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C1) S_4) S1)) (not (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C2) S1) T_1)))))))))
% 5.84/6.06 (assume a772 (forall ((B_1 tptp.fun_state_bool) (C tptp.com) (S_3 tptp.state) (T tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_com_com (tptp.while B_1) C)) S_3) T)) (=> (=> (= T S_3) (tptp.hBOOL (tptp.hAPP_state_bool B_1 S_3))) (not (=> (tptp.hBOOL (tptp.hAPP_state_bool B_1 S_3)) (forall ((S1 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc C) S_3) S1)) (not (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.evalc (tptp.hAPP_com_com (tptp.while B_1) C)) S1) T)))))))))))
% 5.84/6.06 (assume a773 (forall ((C tptp.bool) (F tptp.fun_bool_bool) (B_1 tptp.bool) (A_4 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool B_1) A_4)) (=> (= (tptp.hBOOL (tptp.hAPP_bool_bool F B_1)) (tptp.hBOOL C)) (=> (forall ((X_2 tptp.bool) (Y_3 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_3) X_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool F Y_3)) (tptp.hAPP_bool_bool F X_2))))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool C) (tptp.hAPP_bool_bool F A_4))))))))
% 5.84/6.06 (assume a774 (forall ((F tptp.fun_fu410713561e_bool) (C tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) A_4)) (=> (= (tptp.hAPP_f759274231e_bool F B_1) C) (=> (forall ((X_2 tptp.fun_pname_bool) (Y_3 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_3) X_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool F Y_3)) (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_4))))))))
% 5.84/6.06 (assume a775 (forall ((F tptp.fun_fu1066574909e_bool) (C tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B_1) A_4)) (=> (= (tptp.hAPP_f1749453397e_bool F B_1) C) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool) (Y_3 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_3) X_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool F Y_3)) (tptp.hAPP_f1749453397e_bool F X_2))))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C) (tptp.hAPP_f1749453397e_bool F A_4))))))))
% 5.84/6.06 (assume a776 (forall ((B tptp.fun_fu1430349052l_bool) (A tptp.fun_fu1430349052l_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (not (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool A) 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) B))) (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool A) B))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F (tptp.hAPP_f674760225e_bool Fa A)) (tptp.hAPP_f674760225e_bool Fa B)))))))))
% 5.84/6.06 (assume a777 (forall ((B tptp.fun_fu1996308102l_bool) (A tptp.fun_fu1996308102l_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite1264277005e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool B)) (=> (not (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila218417144l_bool A) B) tptp.bot_bo133096688l_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila862847378l_bool A) B))) (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila218417144l_bool A) B))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F (tptp.hAPP_f1180969799e_bool Fa A)) (tptp.hAPP_f1180969799e_bool Fa B)))))))))
% 5.84/6.06 (assume a778 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (not (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) 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) B))) (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B))) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F (tptp.hAPP_f1297739591_pname Fa A)) (tptp.hAPP_f1297739591_pname Fa B)))))))))
% 5.84/6.06 (assume a779 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite269920017_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state B)) (=> (not (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B) tptp.bot_bo39439654e_bool)) (= (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B))) (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B))) (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F (tptp.hAPP_f1242401993_state Fa A)) (tptp.hAPP_f1242401993_state Fa B)))))))))
% 5.84/6.06 (assume a780 (forall ((B tptp.fun_com_bool) (A tptp.fun_com_bool) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite860057415ne_com F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com B)) (=> (not (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B) tptp.bot_bot_fun_com_bool)) (= (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) B))) (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B))) (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F (tptp.hAPP_f1276420679ol_com Fa A)) (tptp.hAPP_f1276420679ol_com Fa B)))))))))
% 5.84/6.06 (assume a781 (forall ((B tptp.fun_fu1430349052l_bool) (A tptp.fun_fu1430349052l_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (not (= A 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) B) tptp.bot_bo1649642514l_bool) (= (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool F (tptp.hAPP_f674760225e_bool Fa A)) (tptp.hAPP_f674760225e_bool Fa B)))))))))))
% 5.84/6.06 (assume a782 (forall ((B tptp.fun_fu1996308102l_bool) (A tptp.fun_fu1996308102l_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite1264277005e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (not (= A tptp.bot_bo133096688l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool B)) (=> (not (= B tptp.bot_bo133096688l_bool)) (=> (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila218417144l_bool A) B) tptp.bot_bo133096688l_bool) (= (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila862847378l_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F (tptp.hAPP_f1180969799e_bool Fa A)) (tptp.hAPP_f1180969799e_bool Fa B)))))))))))
% 5.84/6.06 (assume a783 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (not (= A 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) B) tptp.bot_bo844097828e_bool) (= (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F (tptp.hAPP_f1297739591_pname Fa A)) (tptp.hAPP_f1297739591_pname Fa B)))))))))))
% 5.84/6.06 (assume a784 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite269920017_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (not (= A tptp.bot_bo39439654e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state B)) (=> (not (= B tptp.bot_bo39439654e_bool)) (=> (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B) tptp.bot_bo39439654e_bool) (= (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)) (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F (tptp.hAPP_f1242401993_state Fa A)) (tptp.hAPP_f1242401993_state Fa B)))))))))))
% 5.84/6.06 (assume a785 (forall ((B tptp.fun_com_bool) (A tptp.fun_com_bool) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite860057415ne_com F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (=> (not (= A tptp.bot_bot_fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com B)) (=> (not (= B tptp.bot_bot_fun_com_bool)) (=> (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B) tptp.bot_bot_fun_com_bool) (= (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) B)) (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F (tptp.hAPP_f1276420679ol_com Fa A)) (tptp.hAPP_f1276420679ol_com Fa B)))))))))))
% 5.84/6.06 (assume a786 (forall ((X_1 tptp.com) (A tptp.fun_com_bool) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite860057415ne_com F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (and (=> (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool)) tptp.bot_bot_fun_com_bool) (= (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A)) X_1)) (=> (not (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool)) tptp.bot_bot_fun_com_bool)) (= (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A)) (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F X_1) (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool)))))))))))
% 5.84/6.06 (assume a787 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (and (=> (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (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)) X_1)) (=> (not (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (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)) (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) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)))))))))))
% 5.84/6.06 (assume a788 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite269920017_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (and (=> (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool)) tptp.bot_bo39439654e_bool) (= (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A)) X_1)) (=> (not (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool)) tptp.bot_bo39439654e_bool)) (= (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A)) (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F X_1) (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool)))))))))))
% 5.84/6.06 (assume a789 (forall ((X_1 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (and (=> (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A) (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)) X_1)) (=> (not (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A) (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)) (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) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) tptp.bot_bo1649642514l_bool)))))))))))
% 5.84/6.06 (assume a790 (forall ((X_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite1264277005e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (and (=> (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool A) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_1) tptp.bot_bo133096688l_bool)) tptp.bot_bo133096688l_bool) (= (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_1) A)) X_1)) (=> (not (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool A) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_1) tptp.bot_bo133096688l_bool)) tptp.bot_bo133096688l_bool)) (= (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_1) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F X_1) (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool A) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_1) tptp.bot_bo133096688l_bool)))))))))))
% 5.84/6.06 (assume a791 (forall ((X_1 tptp.com) (A tptp.fun_com_bool) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite860057415ne_com F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (and (=> (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool)) tptp.bot_bot_fun_com_bool) (= (tptp.hAPP_f1276420679ol_com Fa A) X_1)) (=> (not (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool)) tptp.bot_bot_fun_com_bool)) (= (tptp.hAPP_f1276420679ol_com Fa A) (tptp.hAPP_com_com (tptp.hAPP_com_fun_com_com F X_1) (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool))))))))))))
% 5.84/6.06 (assume a792 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (and (=> (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (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) X_1)) (=> (not (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (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) (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) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))))))))))))
% 5.84/6.06 (assume a793 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite269920017_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (and (=> (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool)) tptp.bot_bo39439654e_bool) (= (tptp.hAPP_f1242401993_state Fa A) X_1)) (=> (not (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool)) tptp.bot_bo39439654e_bool)) (= (tptp.hAPP_f1242401993_state Fa A) (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state F X_1) (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool))))))))))))
% 5.84/6.06 (assume a794 (forall ((X_1 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A)) (and (=> (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A) (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) X_1)) (=> (not (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A) (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) (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) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) tptp.bot_bo1649642514l_bool))))))))))))
% 5.84/6.06 (assume a795 (forall ((X_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite1264277005e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_1) A)) (and (=> (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool A) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_1) tptp.bot_bo133096688l_bool)) tptp.bot_bo133096688l_bool) (= (tptp.hAPP_f1180969799e_bool Fa A) X_1)) (=> (not (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool A) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_1) tptp.bot_bo133096688l_bool)) tptp.bot_bo133096688l_bool)) (= (tptp.hAPP_f1180969799e_bool Fa A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool F X_1) (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool A) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_1) tptp.bot_bo133096688l_bool))))))))))))
% 5.84/6.06 (assume a796 (forall ((X_3 tptp.pname)) (not (tptp.hBOOL (tptp.is_none_pname (tptp.hAPP_p1252095976_pname tptp.some_pname X_3))))))
% 5.84/6.06 (assume a797 (forall ((X_3 tptp.hoare_363350478_state)) (not (tptp.hBOOL (tptp.is_non965104584_state (tptp.hAPP_H1942146718_state tptp.some_H629028223_state X_3))))))
% 5.84/6.06 (assume a798 (forall ((X_3 tptp.com)) (not (tptp.hBOOL (tptp.is_none_com (tptp.hAPP_com_option_com tptp.some_com X_3))))))
% 5.84/6.06 (assume a799 (forall ((Q_1 tptp.fun_st1506752259e_bool) (G_2 tptp.fun_Ho320143120e_bool) (C tptp.com) (P_1 tptp.fun_st1506752259e_bool)) (=> (forall ((Z_2 tptp.state) (S_1 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P_1 Z_2) S_1)) (exists ((P_2 tptp.fun_st1506752259e_bool) (Q_2 tptp.fun_st1506752259e_bool)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_2) C) Q_2)) tptp.bot_bo39439654e_bool))) (forall ((S_2 tptp.state)) (=> (forall ((Z_3 tptp.state)) (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool P_2 Z_3) S_1)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool Q_2 Z_3) S_2)))) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool Q_1 Z_2) S_2)))))))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_f83715540_state (tptp.hAPP_c1279058753_state (tptp.hAPP_f960042659_state tptp.hoare_608330478_state P_1) C) Q_1)) tptp.bot_bo39439654e_bool))))))
% 5.84/6.06 (assume a800 (forall ((C tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A)) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B))))))))
% 5.84/6.06 (assume a801 (forall ((C tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (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) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))))))))
% 5.84/6.06 (assume a802 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B))))))))
% 5.84/6.06 (assume a803 (forall ((B tptp.fun_com_bool) (C tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B)))))))
% 5.84/6.06 (assume a804 (forall ((B tptp.fun_pname_bool) (C tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A)) (=> (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) B)))))))
% 5.84/6.06 (assume a805 (forall ((B tptp.fun_Ho320143120e_bool) (C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B)))))))
% 5.84/6.06 (assume a806 (forall ((C tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B)))))))
% 5.84/6.06 (assume a807 (forall ((C tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (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) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B)))))))
% 5.84/6.06 (assume a808 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B)))))))
% 5.84/6.06 (assume a809 (forall ((B tptp.fun_com_bool) (C tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) B)))))))
% 5.84/6.06 (assume a810 (forall ((B tptp.fun_pname_bool) (C tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A)) (=> (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) B)))))))
% 5.84/6.06 (assume a811 (forall ((B tptp.fun_Ho320143120e_bool) (C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B)))))))
% 5.84/6.06 (assume a812 (forall ((G_2 tptp.fun_fu1430349052l_bool) (Fa tptp.fun_fu1430349052l_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool G_2))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool Fa) G_2))))))
% 5.84/6.06 (assume a813 (forall ((G_2 tptp.fun_fu1996308102l_bool) (Fa tptp.fun_fu1996308102l_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool G_2))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila218417144l_bool Fa) G_2))))))
% 5.84/6.06 (assume a814 (forall ((G_2 tptp.fun_pname_bool) (Fa tptp.fun_pname_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname G_2))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool Fa) G_2))))))
% 5.84/6.06 (assume a815 (forall ((G_2 tptp.fun_Ho320143120e_bool) (Fa tptp.fun_Ho320143120e_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state Fa)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state G_2))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool Fa) G_2))))))
% 5.84/6.06 (assume a816 (forall ((B tptp.fun_fu1430349052l_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A) B))))))
% 5.84/6.06 (assume a817 (forall ((B tptp.fun_fu1996308102l_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool A) B))))))
% 5.84/6.06 (assume a818 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))))))
% 5.84/6.06 (assume a819 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B))))))
% 5.84/6.06 (assume a820 (forall ((R_1 tptp.fun_com_bool) (S tptp.fun_com_bool) (X_2 tptp.com)) (= (tptp.hBOOL (tptp.hAPP_com_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) R_1)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) S)) X_2)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool R_1) S))))))
% 5.84/6.06 (assume a821 (forall ((R_1 tptp.fun_pname_bool) (S tptp.fun_pname_bool) (X_2 tptp.pname)) (= (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))))))
% 5.84/6.06 (assume a822 (forall ((R_1 tptp.fun_Ho320143120e_bool) (S tptp.fun_Ho320143120e_bool) (X_2 tptp.hoare_363350478_state)) (= (tptp.hBOOL (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) R_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) S)) X_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool R_1) S))))))
% 5.84/6.06 (assume a823 (forall ((A tptp.fun_com_bool) (B tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool B) A)) tptp.bot_bot_fun_com_bool)))
% 5.84/6.06 (assume a824 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool B) A)) tptp.bot_bo844097828e_bool)))
% 5.84/6.06 (assume a825 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool B) A)) tptp.bot_bo39439654e_bool)))
% 5.84/6.06 (assume a826 (forall ((A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B) tptp.bot_bot_fun_com_bool) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) B) A))))
% 5.84/6.06 (assume a827 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B) tptp.bot_bo844097828e_bool) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B) A))))
% 5.84/6.06 (assume a828 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B) tptp.bot_bo39439654e_bool) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B) A))))
% 5.84/6.06 (assume a829 (forall ((C tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) B))) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B))))))
% 5.84/6.06 (assume a830 (forall ((C tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (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) B))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))))))
% 5.84/6.06 (assume a831 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B))))))
% 5.84/6.06 (assume a832 (forall ((C tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B)))))
% 5.84/6.06 (assume a833 (forall ((C tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (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) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B)))))
% 5.84/6.06 (assume a834 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B)))))
% 5.84/6.06 (assume a835 (forall ((C tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A)))))
% 5.84/6.06 (assume a836 (forall ((C tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (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) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A)))))
% 5.84/6.06 (assume a837 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A)))))
% 5.84/6.06 (assume a838 (forall ((C tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) B))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A)))))
% 5.84/6.06 (assume a839 (forall ((C tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (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) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A)))))
% 5.84/6.06 (assume a840 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A)))))
% 5.84/6.06 (assume a841 (forall ((C tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B))) (and (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B))))))
% 5.84/6.06 (assume a842 (forall ((C tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (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) B))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B))))))
% 5.84/6.06 (assume a843 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B))) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B))))))
% 5.84/6.06 (assume a844 (forall ((C tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) B))) (and (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) A)) (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com C) B)))))))
% 5.84/6.06 (assume a845 (forall ((C tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (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) B))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) A)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C) B)))))))
% 5.84/6.06 (assume a846 (forall ((C tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B))) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) A)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state C) B)))))))
% 5.84/6.06 (assume a847 (forall ((A tptp.fun_com_bool) (B tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B) (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com tptp.fconj) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) A))) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) B))))))
% 5.84/6.06 (assume a848 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool 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.fconj) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) A))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) B))))))
% 5.84/6.06 (assume a849 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fconj) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) A))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) B))))))
% 5.84/6.06 (assume a850 (forall ((A tptp.fun_fu1430349052l_bool) (B tptp.fun_fu1430349052l_bool)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_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.fconj) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) A))) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) B))))))
% 5.84/6.06 (assume a851 (forall ((A tptp.fun_fu1996308102l_bool) (B tptp.fun_fu1996308102l_bool)) (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila218417144l_bool A) B) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fconj) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1854331281l_bool tptp.cOMBC_1522409444l_bool tptp.member1534059107e_bool) A))) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1854331281l_bool tptp.cOMBC_1522409444l_bool tptp.member1534059107e_bool) B))))))
% 5.84/6.06 (assume a852 (forall ((A tptp.fun_com_bool) (B tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) B) (tptp.hAPP_f1682609283m_bool tptp.collect_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com tptp.fconj) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) A))) (tptp.hAPP_f1682609283m_bool (tptp.cOMBB_bool_bool_com tptp.fNot) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) B)))))))
% 5.84/6.06 (assume a853 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool 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.fconj) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) A))) (tptp.hAPP_f759274231e_bool (tptp.cOMBB_647938656_pname tptp.fNot) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) B)))))))
% 5.84/6.06 (assume a854 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fconj) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) A))) (tptp.hAPP_f1749453397e_bool (tptp.cOMBB_2059354034_state tptp.fNot) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) B)))))))
% 5.84/6.06 (assume a855 (forall ((A tptp.fun_fu1430349052l_bool) (B tptp.fun_fu1430349052l_bool)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_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.fconj) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) A))) (tptp.hAPP_f559147733l_bool (tptp.cOMBB_307249310e_bool tptp.fNot) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1145991873l_bool tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) B)))))))
% 5.84/6.06 (assume a856 (forall ((A tptp.fun_fu1996308102l_bool) (B tptp.fun_fu1996308102l_bool)) (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool A) B) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fconj) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1854331281l_bool tptp.cOMBC_1522409444l_bool tptp.member1534059107e_bool) A))) (tptp.hAPP_f85652879l_bool (tptp.cOMBB_941362220e_bool tptp.fNot) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1854331281l_bool tptp.cOMBC_1522409444l_bool tptp.member1534059107e_bool) B)))))))
% 5.84/6.06 (assume a857 (forall ((X_1 tptp.com) (A tptp.fun_com_bool) (P_1 tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) (tptp.hAPP_f1682609283m_bool tptp.collect_com P_1)))) (and (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (tptp.hBOOL (tptp.hAPP_com_bool P_1 X_1))))))
% 5.84/6.06 (assume a858 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (P_1 tptp.fun_pname_bool)) (= (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) (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)) (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_1))))))
% 5.84/6.06 (assume a859 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state P_1)))) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_1))))))
% 5.84/6.06 (assume a860 (forall ((X_1 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool) (P_1 tptp.fun_fu1430349052l_bool)) (= (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) (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)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 X_1))))))
% 5.84/6.06 (assume a861 (forall ((X_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool) (P_1 tptp.fun_fu1996308102l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_1) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila218417144l_bool A) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool P_1)))) (and (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 X_1))))))
% 5.84/6.06 (assume a862 (forall ((P_1 tptp.fun_Ho320143120e_bool) (Q_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state tptp.fconj) P_1)) Q_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state P_1)) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state Q_1)))))
% 5.84/6.06 (assume a863 (forall ((P_1 tptp.fun_pname_bool) (Q_1 tptp.fun_pname_bool)) (= (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)))))
% 5.84/6.06 (assume a864 (forall ((P_1 tptp.fun_fu1430349052l_bool) (Q_1 tptp.fun_fu1430349052l_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)) (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)))))
% 5.84/6.06 (assume a865 (forall ((P_1 tptp.fun_fu1996308102l_bool) (Q_1 tptp.fun_fu1996308102l_bool)) (= (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool tptp.fconj) P_1)) Q_1)) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila218417144l_bool (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool P_1)) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool Q_1)))))
% 5.84/6.06 (assume a866 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) C_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) C_1)))))
% 5.84/6.06 (assume a867 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool B) C_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) C_1)))))
% 5.84/6.06 (assume a868 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) C_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) C_1)))))
% 5.84/6.06 (assume a869 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) C_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) C_1)))))
% 5.84/6.06 (assume a870 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B)) A)))
% 5.84/6.06 (assume a871 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B)) A)))
% 5.84/6.06 (assume a872 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Y_2)) X_1))))
% 5.84/6.06 (assume a873 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (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_2)) X_1))))
% 5.84/6.06 (assume a874 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Y_2)) X_1))))
% 5.84/6.06 (assume a875 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Y_2)) X_1))))
% 5.84/6.06 (assume a876 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (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_2)) X_1))))
% 5.84/6.06 (assume a877 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Y_2)) X_1))))
% 5.84/6.06 (assume a878 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Y_2)) Y_2))))
% 5.84/6.06 (assume a879 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (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_2)) Y_2))))
% 5.84/6.06 (assume a880 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Y_2)) Y_2))))
% 5.84/6.06 (assume a881 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Y_2)) Y_2))))
% 5.84/6.06 (assume a882 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (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_2)) Y_2))))
% 5.84/6.06 (assume a883 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Y_2)) Y_2))))
% 5.84/6.06 (assume a884 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_2)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Y_2)) (tptp.hBOOL X_1)))))
% 5.84/6.06 (assume a885 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_2)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Y_2) X_1))))
% 5.84/6.06 (assume a886 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Y_2)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Y_2) X_1))))
% 5.84/6.06 (assume a887 (forall ((X_1 tptp.bool) (Y_2 tptp.bool) (Z tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool Y_2) Z))) (and (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Z))))))
% 5.84/6.06 (assume a888 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool)) (= (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_2) Z))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Z))))))
% 5.84/6.06 (assume a889 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool Y_2) Z))) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Z))))))
% 5.84/6.06 (assume a890 (forall ((B_1 tptp.bool) (A_4 tptp.bool) (X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_4) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool A_4) B_1)) X_1)))))
% 5.84/6.06 (assume a891 (forall ((B_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_4) 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_4) B_1)) X_1)))))
% 5.84/6.06 (assume a892 (forall ((B_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A_4) X_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A_4) B_1)) X_1)))))
% 5.84/6.06 (assume a893 (forall ((A_4 tptp.bool) (B_1 tptp.bool) (X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool B_1) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool A_4) B_1)) X_1)))))
% 5.84/6.06 (assume a894 (forall ((A_4 tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (=> (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_4) B_1)) X_1)))))
% 5.84/6.06 (assume a895 (forall ((A_4 tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B_1) X_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A_4) B_1)) X_1)))))
% 5.84/6.06 (assume a896 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_2)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Y_2)) (tptp.hBOOL X_1)))))
% 5.84/6.06 (assume a897 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_2)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Y_2) X_1))))
% 5.84/6.06 (assume a898 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Y_2)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Y_2) X_1))))
% 5.84/6.06 (assume a899 (forall ((Y_2 tptp.bool) (X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_1)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Y_2)) (tptp.hBOOL Y_2)))))
% 5.84/6.06 (assume a900 (forall ((Y_2 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Y_2) X_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Y_2) Y_2))))
% 5.84/6.06 (assume a901 (forall ((Y_2 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool Y_2) X_1)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Y_2) Y_2))))
% 5.84/6.06 (assume a902 (forall ((B_1 tptp.bool) (X_1 tptp.bool) (A_4 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) A_4)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) B_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool A_4) B_1)))))))
% 5.84/6.06 (assume a903 (forall ((B_1 tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) A_4)) (=> (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_4) B_1)))))))
% 5.84/6.06 (assume a904 (forall ((B_1 tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) A_4)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) B_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A_4) B_1)))))))
% 5.84/6.06 (assume a905 (forall ((Z tptp.bool) (X_1 tptp.bool) (Y_2 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Z)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool Y_2) Z)))))))
% 5.84/6.06 (assume a906 (forall ((Z tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) Y_2)) (=> (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_2) Z)))))))
% 5.84/6.06 (assume a907 (forall ((Z tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) Z)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool Y_2) Z)))))))
% 5.84/6.06 (assume a908 (forall ((B_1 tptp.bool) (D_1 tptp.bool) (A_4 tptp.bool) (C tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool A_4) C)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool B_1) D_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool A_4) B_1)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool C) D_1)))))))
% 5.84/6.06 (assume a909 (forall ((B_1 tptp.fun_pname_bool) (D_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (C tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_4) C)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_1) 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_4) B_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool C) D_1)))))))
% 5.84/6.06 (assume a910 (forall ((B_1 tptp.fun_Ho320143120e_bool) (D_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (C tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A_4) C)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B_1) D_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A_4) B_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool C) D_1)))))))
% 5.84/6.06 (assume a911 (forall ((X_1 tptp.bool) (A_4 tptp.bool) (B_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool A_4) B_1))) (not (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) A_4)) (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) B_1))))))))
% 5.84/6.06 (assume a912 (forall ((X_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool)) (=> (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_4) B_1))) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) A_4)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_1) B_1))))))))
% 5.84/6.06 (assume a913 (forall ((X_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A_4) B_1))) (not (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) A_4)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_1) B_1))))))))
% 5.84/6.06 (assume a914 (forall ((X_1 tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool X_1) tptp.bot_bot_fun_com_bool) tptp.bot_bot_fun_com_bool)))
% 5.84/6.06 (assume a915 (forall ((X_1 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) tptp.bot_bot_bool)) (tptp.hBOOL tptp.bot_bot_bool))))
% 5.84/6.06 (assume a916 (forall ((X_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) tptp.bot_bo844097828e_bool) tptp.bot_bo844097828e_bool)))
% 5.84/6.06 (assume a917 (forall ((X_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) tptp.bot_bo39439654e_bool) tptp.bot_bo39439654e_bool)))
% 5.84/6.06 (assume a918 (forall ((X_1 tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool tptp.bot_bot_fun_com_bool) X_1) tptp.bot_bot_fun_com_bool)))
% 5.84/6.06 (assume a919 (forall ((X_1 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool tptp.bot_bot_bool) X_1)) (tptp.hBOOL tptp.bot_bot_bool))))
% 5.84/6.06 (assume a920 (forall ((X_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool tptp.bot_bo844097828e_bool) X_1) tptp.bot_bo844097828e_bool)))
% 5.84/6.06 (assume a921 (forall ((X_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool tptp.bot_bo39439654e_bool) X_1) tptp.bot_bo39439654e_bool)))
% 5.84/6.06 (assume a922 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2))) (tptp.hBOOL X_1))))
% 5.84/6.06 (assume a923 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Y_2)) X_1)))
% 5.84/6.06 (assume a924 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)) X_1)))
% 5.84/6.06 (assume a925 (forall ((X_1 tptp.bool) (Y_2 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Y_2))) (tptp.hBOOL X_1))))
% 5.84/6.06 (assume a926 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_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 X_1) Y_2)) X_1)))
% 5.84/6.06 (assume a927 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Y_2)) X_1)))
% 5.84/6.06 (assume a928 (forall ((X_1 tptp.bool) (Y_2 tptp.bool) (Z tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) Z))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Y_2)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Z))))))
% 5.84/6.06 (assume a929 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool)) (= (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_2) Z)) (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_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Z)))))
% 5.84/6.06 (assume a930 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) Z)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Y_2)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Z)))))
% 5.84/6.06 (assume a931 (forall ((X_1 tptp.bool) (Y_2 tptp.bool) (Z tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool Y_2) Z))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Z))))))
% 5.84/6.06 (assume a932 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_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_2) 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_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Z)))))
% 5.84/6.06 (assume a933 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool Y_2) Z)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Z)))))
% 5.84/6.06 (assume a934 (forall ((Y_2 tptp.bool) (Z tptp.bool) (X_1 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) Z)) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool Y_2) X_1)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool Z) X_1))))))
% 5.84/6.06 (assume a935 (forall ((Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_2) Z)) X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool Y_2) X_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool Z) X_1)))))
% 5.84/6.06 (assume a936 (forall ((Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) Z)) X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool Y_2) X_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool Z) X_1)))))
% 5.84/6.06 (assume a937 (forall ((Y_2 tptp.bool) (Z tptp.bool) (X_1 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool Y_2) Z)) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) X_1)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Z) X_1))))))
% 5.84/6.06 (assume a938 (forall ((Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool) (X_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool Y_2) Z)) X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_2) X_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Z) X_1)))))
% 5.84/6.06 (assume a939 (forall ((Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool) (X_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool Y_2) Z)) X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) X_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Z) X_1)))))
% 5.84/6.06 (assume a940 (forall ((A tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) A) tptp.bot_bot_fun_com_bool)))
% 5.84/6.06 (assume a941 (forall ((A tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) A) tptp.bot_bo844097828e_bool)))
% 5.84/6.06 (assume a942 (forall ((A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) A) tptp.bot_bo39439654e_bool)))
% 5.84/6.06 (assume a943 (forall ((A tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) tptp.bot_bot_fun_com_bool) A)))
% 5.84/6.06 (assume a944 (forall ((A tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) tptp.bot_bo844097828e_bool) A)))
% 5.84/6.06 (assume a945 (forall ((A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) tptp.bot_bo39439654e_bool) A)))
% 5.84/6.06 (assume a946 (forall ((A tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool tptp.bot_bot_fun_com_bool) A) tptp.bot_bot_fun_com_bool)))
% 5.84/6.06 (assume a947 (forall ((A tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool tptp.bot_bo844097828e_bool) A) tptp.bot_bo844097828e_bool)))
% 5.84/6.06 (assume a948 (forall ((A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool tptp.bot_bo39439654e_bool) A) tptp.bot_bo39439654e_bool)))
% 5.84/6.06 (assume a949 (forall ((A tptp.fun_fu1430349052l_bool) (B tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A) B))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A))))))
% 5.84/6.06 (assume a950 (forall ((A tptp.fun_fu1996308102l_bool) (B tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool B)) (= (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool A) B))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A))))))
% 5.84/6.06 (assume a951 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))))))
% 5.84/6.06 (assume a952 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state B)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A))))))
% 5.84/6.06 (assume a953 (forall ((A tptp.fun_com_bool) (X_1 tptp.com) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) B)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A)) B) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) B)))))
% 5.84/6.06 (assume a954 (forall ((A tptp.fun_pname_bool) (X_1 tptp.pname) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B)) (= (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)) B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)))))
% 5.84/6.06 (assume a955 (forall ((A tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) B)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A)) B) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B)))))
% 5.84/6.06 (assume a956 (forall ((A tptp.fun_com_bool) (X_1 tptp.com) (B tptp.fun_com_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) B)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A)) B) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) B))) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A)) B) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) B)))))))
% 5.84/6.06 (assume a957 (forall ((A tptp.fun_pname_bool) (X_1 tptp.pname) (B tptp.fun_pname_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B)) (= (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)) B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))) (= (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)) B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)))))))
% 5.84/6.06 (assume a958 (forall ((A tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) B)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A)) B) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) B))) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A)) B) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B)))))))
% 5.84/6.06 (assume a959 (forall ((A tptp.fun_com_bool) (B tptp.fun_com_bool)) (= (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B) tptp.bot_bot_fun_com_bool) (forall ((X_2 tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) A)) (forall ((Xa tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com Xa) B)) (not (= X_2 Xa)))))))))
% 5.84/6.06 (assume a960 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B) tptp.bot_bo844097828e_bool) (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (forall ((Xa tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname Xa) B)) (not (= X_2 Xa)))))))))
% 5.84/6.06 (assume a961 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B) tptp.bot_bo39439654e_bool) (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)) (forall ((Xa tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state Xa) B)) (not (= X_2 Xa)))))))))
% 5.84/6.06 (assume a962 (forall ((A tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) tptp.bot_bot_fun_com_bool) tptp.bot_bot_fun_com_bool)))
% 5.84/6.06 (assume a963 (forall ((A tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) tptp.bot_bo844097828e_bool) tptp.bot_bo844097828e_bool)))
% 5.84/6.06 (assume a964 (forall ((A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) tptp.bot_bo39439654e_bool) tptp.bot_bo39439654e_bool)))
% 5.84/6.06 (assume a965 (forall ((B tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool tptp.bot_bot_fun_com_bool) B) tptp.bot_bot_fun_com_bool)))
% 5.84/6.06 (assume a966 (forall ((B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool tptp.bot_bo844097828e_bool) B) tptp.bot_bo844097828e_bool)))
% 5.84/6.06 (assume a967 (forall ((B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool tptp.bot_bo39439654e_bool) B) tptp.bot_bo39439654e_bool)))
% 5.84/6.06 (assume a968 (forall ((C_1 tptp.fun_pname_bool) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) C_1)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool C_1) A)) A)))))
% 5.84/6.06 (assume a969 (forall ((C_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) C_1)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool B) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool C_1) A)) A)))))
% 5.84/6.06 (assume a970 (forall ((D tptp.fun_pname_bool) (B tptp.fun_pname_bool) (A tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool D) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool C_1) D)))))))
% 5.84/6.06 (assume a971 (forall ((D tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool D) B)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool C_1) D)))))))
% 5.84/6.06 (assume a972 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)) A))))
% 5.84/6.06 (assume a973 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B)) A))))
% 5.84/6.06 (assume a974 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) C_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool B) C_1)))))
% 5.84/6.06 (assume a975 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)) C_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) C_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool B) C_1)))))
% 5.84/6.06 (assume a976 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool B) A)) A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) A))))
% 5.84/6.06 (assume a977 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool B) A)) A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) A))))
% 5.84/6.06 (assume a978 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool B) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B))))
% 5.84/6.06 (assume a979 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool B) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B))))
% 5.84/6.06 (assume a980 (forall ((B tptp.fun_com_bool) (A_4 tptp.com) (C_1 tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) C_1)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) C_1) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool B) C_1))))))
% 5.84/6.06 (assume a981 (forall ((B tptp.fun_pname_bool) (A_4 tptp.pname) (C_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) 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_4) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) C_1))))))
% 5.84/6.06 (assume a982 (forall ((B tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state) (C_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) C_1)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) C_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool B) C_1))))))
% 5.84/6.06 (assume a983 (forall ((B tptp.fun_com_bool) (A_4 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) A)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B))))))
% 5.84/6.06 (assume a984 (forall ((B tptp.fun_pname_bool) (A_4 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B))))))
% 5.84/6.06 (assume a985 (forall ((B tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) A)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B))))))
% 5.84/6.06 (assume a986 (forall ((B tptp.fun_com_bool) (A_4 tptp.com) (C_1 tptp.fun_com_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) C_1))) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) C_1) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool B) C_1)))))
% 5.84/6.06 (assume a987 (forall ((B tptp.fun_pname_bool) (A_4 tptp.pname) (C_1 tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) 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_4) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) C_1)))))
% 5.84/6.06 (assume a988 (forall ((B tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state) (C_1 tptp.fun_Ho320143120e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) C_1))) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) C_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool B) C_1)))))
% 5.84/6.06 (assume a989 (forall ((B tptp.fun_com_bool) (A_4 tptp.com) (A tptp.fun_com_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) A))) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B)))))
% 5.84/6.06 (assume a990 (forall ((B tptp.fun_pname_bool) (A_4 tptp.pname) (A tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) A))) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B)))))
% 5.84/6.06 (assume a991 (forall ((B tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) A))) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B)))))
% 5.84/6.06 (assume a992 (forall ((A_4 tptp.com) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) A)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B)))))
% 5.84/6.06 (assume a993 (forall ((A_4 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B)))))
% 5.84/6.06 (assume a994 (forall ((A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B)))))
% 5.84/6.06 (assume a995 (forall ((B tptp.fun_com_bool) (A_4 tptp.com) (C_1 tptp.fun_com_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) C_1)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) C_1) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool B) C_1)))) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) C_1))) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) C_1) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool B) C_1))))))
% 5.84/6.06 (assume a996 (forall ((B tptp.fun_pname_bool) (A_4 tptp.pname) (C_1 tptp.fun_pname_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) 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_4) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) (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_4) 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_4) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) C_1))))))
% 5.84/6.06 (assume a997 (forall ((B tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state) (C_1 tptp.fun_Ho320143120e_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) C_1)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) C_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool B) C_1)))) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) C_1))) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) C_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool B) C_1))))))
% 5.84/6.06 (assume a998 (forall ((B tptp.fun_com_bool) (A_4 tptp.com) (A tptp.fun_com_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) A)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B)))) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) A))) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) B))))))
% 5.84/6.06 (assume a999 (forall ((B tptp.fun_pname_bool) (A_4 tptp.pname) (A tptp.fun_pname_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B)))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) A))) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B))))))
% 5.84/6.06 (assume a1000 (forall ((B tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) A)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B)))) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) A))) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B))))))
% 5.84/6.06 (assume a1001 (forall ((B tptp.fun_pname_bool) (D tptp.fun_pname_bool) (A tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) 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)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool C_1) D)))))))
% 5.84/6.06 (assume a1002 (forall ((B tptp.fun_Ho320143120e_bool) (D tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) D)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool C_1) D)))))))
% 5.84/6.06 (assume a1003 (forall ((B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_1) A)) (=> (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) B)))))))
% 5.84/6.06 (assume a1004 (forall ((B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C_1) B)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B)))))))
% 5.84/6.06 (assume a1005 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B) B))))
% 5.84/6.06 (assume a1006 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B) A)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B) B))))
% 5.84/6.06 (assume a1007 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B) A))))
% 5.84/6.06 (assume a1008 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B) A))))
% 5.84/6.06 (assume a1009 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (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)) B))))
% 5.84/6.06 (assume a1010 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B)) B))))
% 5.84/6.06 (assume a1011 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (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)) A))))
% 5.84/6.06 (assume a1012 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B)) A))))
% 5.84/6.06 (assume a1013 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) C_1))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool C_1) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) C_1))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool C_1) A)))))
% 5.84/6.06 (assume a1014 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool B) C_1))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool C_1) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) C_1))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool C_1) A)))))
% 5.84/6.06 (assume a1015 (forall ((B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) C_1)) A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool C_1) A)))))
% 5.84/6.06 (assume a1016 (forall ((B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool B) C_1)) A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool C_1) A)))))
% 5.84/6.06 (assume a1017 (forall ((B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) C_1)) A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool C_1) A)))))
% 5.84/6.06 (assume a1018 (forall ((B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) C_1)) A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool B) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool C_1) A)))))
% 5.84/6.06 (assume a1019 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool B) C_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) C_1)))))
% 5.84/6.06 (assume a1020 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool B) C_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) C_1)))))
% 5.84/6.06 (assume a1021 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) C_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) C_1)))))
% 5.84/6.06 (assume a1022 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) C_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) C_1)))))
% 5.84/6.06 (assume a1023 (forall ((X_1 tptp.bool) (Y_2 tptp.bool) (Z tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Y_2)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Z))) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) Z))))))
% 5.84/6.06 (assume a1024 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool)) (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_2)) (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_2) Z))))))
% 5.84/6.06 (assume a1025 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Y_2)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Z))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) Z))))))
% 5.84/6.06 (assume a1026 (forall ((X_1 tptp.bool) (Y_2 tptp.bool) (Z tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool Y_2) Z))) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Z))))))
% 5.84/6.06 (assume a1027 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool)) (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_2) 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_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Z))))))
% 5.84/6.06 (assume a1028 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool Y_2) Z))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Z))))))
% 5.84/6.06 (assume a1029 (forall ((A_4 tptp.com) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_4) A)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) tptp.bot_bot_fun_com_bool))) A))))
% 5.84/6.06 (assume a1030 (forall ((A_4 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) tptp.bot_bo844097828e_bool))) A))))
% 5.84/6.06 (assume a1031 (forall ((A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_4) A)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) tptp.bot_bo39439654e_bool))) A))))
% 5.84/6.06 (assume a1032 (forall ((X_1 tptp.com) (A tptp.fun_com_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A))) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool)) A))))
% 5.84/6.06 (assume a1033 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (= (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)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) A))))
% 5.84/6.06 (assume a1034 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A))) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool)) A))))
% 5.84/6.06 (assume a1035 (forall ((A_4 tptp.com) (A tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) tptp.bot_bot_fun_com_bool))) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) A))))
% 5.84/6.06 (assume a1036 (forall ((A_4 tptp.pname) (A tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) tptp.bot_bo844097828e_bool))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) A))))
% 5.84/6.06 (assume a1037 (forall ((A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) tptp.bot_bo39439654e_bool))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) A))))
% 5.84/6.06 (assume a1038 (forall ((A tptp.fun_com_bool) (A_4 tptp.com) (B tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) tptp.bot_bot_fun_com_bool))) B))))
% 5.84/6.06 (assume a1039 (forall ((A tptp.fun_pname_bool) (A_4 tptp.pname) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) tptp.bot_bo844097828e_bool))) B))))
% 5.84/6.06 (assume a1040 (forall ((A tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) tptp.bot_bo39439654e_bool))) B))))
% 5.84/6.06 (assume a1041 (forall ((A tptp.fun_com_bool) (A_4 tptp.com) (B tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) B)) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) tptp.bot_bot_fun_com_bool)))))
% 5.84/6.06 (assume a1042 (forall ((A tptp.fun_pname_bool) (A_4 tptp.pname) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) tptp.bot_bo844097828e_bool)))))
% 5.84/6.06 (assume a1043 (forall ((A tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) tptp.bot_bo39439654e_bool)))))
% 5.84/6.06 (assume a1044 (forall ((A tptp.fun_com_bool) (A_4 tptp.com) (B tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) B)))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) B))))))
% 5.84/6.06 (assume a1045 (forall ((A tptp.fun_pname_bool) (A_4 tptp.pname) (B tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) B)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))))))
% 5.84/6.06 (assume a1046 (forall ((A tptp.fun_Ho320143120e_bool) (A_4 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) B)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B))))))
% 5.84/6.06 (assume a1047 (forall ((A tptp.fun_fu1430349052l_bool) (A_4 tptp.fun_pname_bool) (B tptp.fun_fu1430349052l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) B)))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A) B))))))
% 5.84/6.06 (assume a1048 (forall ((A tptp.fun_fu1996308102l_bool) (A_4 tptp.fun_Ho320143120e_bool) (B tptp.fun_fu1996308102l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool A) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) B)))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool A) B))))))
% 5.84/6.06 (assume a1049 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) B))) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))))))
% 5.84/6.06 (assume a1050 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool B) A)) B))))
% 5.84/6.06 (assume a1051 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool B) A)) B))))
% 5.84/6.06 (assume a1052 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)) C_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B) C_1))))))
% 5.84/6.06 (assume a1053 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) B)) C_1)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) C_1))))))
% 5.84/6.06 (assume a1054 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) B))))))
% 5.84/6.07 (assume a1055 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool) (C_1 tptp.fun_pname_bool)) (= (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B)) C_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) (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)))))
% 5.84/6.07 (assume a1056 (forall ((A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool) (C_1 tptp.fun_Ho320143120e_bool)) (= (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) B)) C_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B) C_1))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool C_1) A)))))
% 5.84/6.07 (assume a1057 (forall ((P_1 tptp.fun_pname_bool) (F tptp.fun_pn1262351275_state) (G tptp.fun_pn1262351275_state) (S tptp.fun_pname_bool)) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f901668953_state (tptp.hAPP_f1521026326_state tptp.cOMBS_113846849_state (tptp.hAPP_f1180972108_state (tptp.hAPP_f1993951364_state tptp.cOMBS_89825358_state (tptp.hAPP_f1418159294_state (tptp.cOMBB_1777678681_pname tptp.if_Hoa29189214_state) P_1)) F)) G)) S) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_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_f1763243027e_bool (tptp.image_1918575693_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))))))))
% 5.84/6.07 (assume a1058 (forall ((P_1 tptp.fun_pname_bool) (F tptp.fun_pname_option_com) (G tptp.fun_pname_option_com)) (= (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)))))))
% 5.84/6.07 (assume a1059 (forall ((A tptp.fun_com_bool) (X_1 tptp.com) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool))) B)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) B)))))))
% 5.84/6.07 (assume a1060 (forall ((A tptp.fun_pname_bool) (X_1 tptp.pname) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) B)))))))
% 5.84/6.07 (assume a1061 (forall ((A tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool))) B)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) B)))))))
% 5.84/6.07 (assume a1062 (forall ((A tptp.fun_com_bool) (X_1 tptp.com) (B tptp.fun_com_bool)) (= (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) B))) (and (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) tptp.bot_bot_fun_com_bool))) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) B)))))))
% 5.84/6.07 (assume a1063 (forall ((A tptp.fun_pname_bool) (X_1 tptp.pname) (B tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) B))) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)))))))
% 5.84/6.07 (assume a1064 (forall ((A tptp.fun_Ho320143120e_bool) (X_1 tptp.hoare_363350478_state) (B tptp.fun_Ho320143120e_bool)) (= (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) B))) (and (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) tptp.bot_bo39439654e_bool))) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)))))))
% 5.84/6.07 (assume a1065 (forall ((P_1 tptp.fun_fu1362071682l_bool) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 A)) (=> (forall ((A_2 tptp.com) (A_7 tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A_7)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com A_2) A_7)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 A_7)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A_7) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_2) tptp.bot_bot_fun_com_bool)))))))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool P_1 tptp.bot_bot_fun_com_bool)))))))
% 5.84/6.07 (assume a1066 (forall ((P_1 tptp.fun_fu1430349052l_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A)) (=> (forall ((A_2 tptp.pname) (A_7 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_7)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A_7)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A_7)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_7) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) tptp.bot_bo844097828e_bool)))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 tptp.bot_bo844097828e_bool)))))))
% 5.84/6.07 (assume a1067 (forall ((P_1 tptp.fun_fu1996308102l_bool) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 A)) (=> (forall ((A_2 tptp.hoare_363350478_state) (A_7 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A_7)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state A_2) A_7)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 A_7)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A_7) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_2) tptp.bot_bo39439654e_bool)))))))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 tptp.bot_bo39439654e_bool)))))))
% 5.84/6.07 (assume a1068 (forall ((P_1 tptp.fun_fu399576434l_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 A)) (=> (forall ((A_2 tptp.fun_pname_bool) (A_7 tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A_7)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_2) A_7)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 A_7)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool A_7) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_2) tptp.bot_bo1649642514l_bool)))))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 tptp.bot_bo1649642514l_bool)))))))
% 5.84/6.07 (assume a1069 (forall ((P_1 tptp.fun_fu1972704968l_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 A)) (=> (forall ((A_2 tptp.fun_Ho320143120e_bool) (A_7 tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A_7)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool A_2) A_7)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 A_7)) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool A_7) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_2) tptp.bot_bo133096688l_bool)))))))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool P_1 tptp.bot_bo133096688l_bool)))))))
% 5.84/6.07 (assume a1070 (forall ((F tptp.fun_pname_option_com) (G tptp.fun_pname_option_com) (A tptp.fun_pname_bool)) (= (tptp.dom_pname_com (tptp.overri1496249029on_com F G A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool (tptp.dom_pname_com F)) (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.dom_pname_com G)))))) (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) (tptp.dom_pname_com G))))))))
% 5.84/6.07 (assume a1071 (forall ((Q_1 tptp.fun_com_bool) (P_1 tptp.fun_com_bool) (A tptp.fun_com_bool) (B tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) B)) (=> (forall ((X_2 tptp.com)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_com_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_com_bool Q_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool A) (tptp.hAPP_f1682609283m_bool tptp.collect_com P_1))) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila980496562m_bool B) (tptp.hAPP_f1682609283m_bool tptp.collect_com Q_1))))))))
% 5.84/6.07 (assume a1072 (forall ((Q_1 tptp.fun_pname_bool) (P_1 tptp.fun_pname_bool) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (=> (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) (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))))))))
% 5.84/6.07 (assume a1073 (forall ((Q_1 tptp.fun_Ho320143120e_bool) (P_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool) (B tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) B)) (=> (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_H1645464494e_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool Q_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state P_1))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool B) (tptp.hAPP_f1749453397e_bool tptp.collec223185785_state Q_1))))))))
% 5.84/6.07 (assume a1074 (forall ((Q_1 tptp.fun_fu1430349052l_bool) (P_1 tptp.fun_fu1430349052l_bool) (A tptp.fun_fu1430349052l_bool) (B tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A) B)) (=> (forall ((X_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) A)) (=> (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) (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))))))))
% 5.84/6.07 (assume a1075 (forall ((Q_1 tptp.fun_fu1996308102l_bool) (P_1 tptp.fun_fu1996308102l_bool) (A tptp.fun_fu1996308102l_bool) (B tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool A) B)) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool Q_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila218417144l_bool A) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool P_1))) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila218417144l_bool B) (tptp.hAPP_f85652879l_bool tptp.collec1243131813e_bool Q_1))))))))
% 5.84/6.07 (assume a1076 (forall ((X_1 tptp.bool) (Y_2 tptp.bool) (Z tptp.bool)) (=> (forall ((X_2 tptp.bool) (Y_3 tptp.bool) (Z_1 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_2) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool Y_3) Z_1))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_2) Y_3)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_2) Z_1))))) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_2) Z))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Y_2)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_1) Z)))))))
% 5.84/6.07 (assume a1077 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool)) (=> (forall ((X_2 tptp.fun_pname_bool) (Y_3 tptp.fun_pname_bool) (Z_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool Y_3) Z_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_2) Y_3)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_2) Z_1)))) (= (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_2) Z)) (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_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_1) Z))))))
% 5.84/6.07 (assume a1078 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool)) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool) (Y_3 tptp.fun_Ho320143120e_bool) (Z_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool Y_3) Z_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_2) Y_3)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_2) Z_1)))) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_2) Z)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Y_2)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_1) Z))))))
% 5.84/6.07 (assume a1079 (forall ((X_1 tptp.bool) (Y_2 tptp.bool) (Z tptp.bool)) (=> (forall ((X_2 tptp.bool) (Y_3 tptp.bool) (Z_1 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_2) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool Y_3) Z_1))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_2) Y_3)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool X_2) Z_1))))) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool Y_2) Z))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Y_2)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) Z)))))))
% 5.84/6.07 (assume a1080 (forall ((X_1 tptp.fun_pname_bool) (Y_2 tptp.fun_pname_bool) (Z tptp.fun_pname_bool)) (=> (forall ((X_2 tptp.fun_pname_bool) (Y_3 tptp.fun_pname_bool) (Z_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool Y_3) Z_1)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_2) Y_3)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool X_2) Z_1)))) (= (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_2) 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_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) Z))))))
% 5.84/6.07 (assume a1081 (forall ((X_1 tptp.fun_Ho320143120e_bool) (Y_2 tptp.fun_Ho320143120e_bool) (Z tptp.fun_Ho320143120e_bool)) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool) (Y_3 tptp.fun_Ho320143120e_bool) (Z_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool Y_3) Z_1)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_2) Y_3)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool X_2) Z_1)))) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool Y_2) Z)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Y_2)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) Z))))))
% 5.84/6.07 (assume a1082 (forall ((A tptp.fun_com_bool) (B_1 tptp.com)) (and (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com B_1) tptp.bot_bot_fun_com_bool))) (= (tptp.hAPP_f1276420679ol_com (tptp.partial_flat_lub_com B_1) A) B_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.ord_le1708315510m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com B_1) tptp.bot_bot_fun_com_bool)))) (= (tptp.hAPP_f1276420679ol_com (tptp.partial_flat_lub_com B_1) A) (tptp.hAPP_f1276420679ol_com tptp.the_com_1 (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool tptp.member_com) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com B_1) tptp.bot_bot_fun_com_bool)))))))))
% 5.84/6.07 (assume a1083 (forall ((A tptp.fun_pname_bool) (B_1 tptp.pname)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) tptp.bot_bo844097828e_bool))) (= (tptp.hAPP_f1297739591_pname (tptp.partia752020666_pname B_1) A) B_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) tptp.bot_bo844097828e_bool)))) (= (tptp.hAPP_f1297739591_pname (tptp.partia752020666_pname B_1) A) (tptp.hAPP_f1297739591_pname tptp.the_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f661147897e_bool tptp.cOMBC_1058051404l_bool tptp.member_pname) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_1) tptp.bot_bo844097828e_bool)))))))))
% 5.84/6.07 (assume a1084 (forall ((A tptp.fun_Ho320143120e_bool) (B_1 tptp.hoare_363350478_state)) (and (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state B_1) tptp.bot_bo39439654e_bool))) (= (tptp.hAPP_f1242401993_state (tptp.partia2058675160_state B_1) A) B_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state B_1) tptp.bot_bo39439654e_bool)))) (= (tptp.hAPP_f1242401993_state (tptp.partia2058675160_state B_1) A) (tptp.hAPP_f1242401993_state tptp.the_Ho1653144541_state (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool tptp.member1253905979_state) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state B_1) tptp.bot_bo39439654e_bool)))))))))
% 5.84/6.07 (assume a1085 (tptp.hBOOL (tptp.finite1653727294m_bool (tptp.hAPP_f57617970m_bool (tptp.cOMBB_2112550369ol_com (tptp.hAPP_f1898485935m_bool tptp.cOMBC_788185579m_bool tptp.minus_59609839m_bool)) (tptp.hAPP_f721468006m_bool (tptp.hAPP_f947797701m_bool tptp.cOMBC_1977231931m_bool tptp.insert_com) tptp.bot_bot_fun_com_bool)))))
% 5.84/6.07 (assume a1086 (tptp.hBOOL (tptp.finite2017903282e_bool (tptp.hAPP_f647826488e_bool (tptp.cOMBB_1919352417_pname (tptp.hAPP_f182188835e_bool tptp.cOMBC_1880008793e_bool tptp.minus_1015773161e_bool)) (tptp.hAPP_f180827860e_bool (tptp.hAPP_f698292281e_bool tptp.cOMBC_1123258281e_bool tptp.insert_pname) tptp.bot_bo844097828e_bool)))))
% 5.84/6.07 (assume a1087 (tptp.hBOOL (tptp.finite377806280e_bool (tptp.hAPP_f306007574e_bool (tptp.cOMBB_1253415543_state (tptp.hAPP_f1873524693e_bool tptp.cOMBC_1626046675e_bool tptp.minus_1060678561e_bool)) (tptp.hAPP_f596150574e_bool (tptp.hAPP_f961492031e_bool tptp.cOMBC_1774708299e_bool tptp.insert1330351828_state) tptp.bot_bo39439654e_bool)))))
% 5.84/6.07 (assume a1088 (forall ((F tptp.fun_pn1262351275_state) (Y_2 tptp.hoare_363350478_state) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.fun_up641226197_state F X_1 Y_2)) A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state Y_2) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)))))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.fun_up641226197_state F X_1 Y_2)) A) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A))))))
% 5.84/6.07 (assume a1089 (tptp.hBOOL (tptp.finite1653727294m_bool tptp.insert_com)))
% 5.84/6.07 (assume a1090 (tptp.hBOOL (tptp.finite2017903282e_bool tptp.insert_pname)))
% 5.84/6.07 (assume a1091 (tptp.hBOOL (tptp.finite377806280e_bool tptp.insert1330351828_state)))
% 5.84/6.07 (assume a1092 (tptp.hBOOL (tptp.finite318301748l_bool tptp.semila1168014441p_bool)))
% 5.84/6.07 (assume a1093 (tptp.hBOOL (tptp.finite367769966e_bool tptp.semila278973382e_bool)))
% 5.84/6.07 (assume a1094 (tptp.hBOOL (tptp.finite560903500e_bool tptp.semila1579166468e_bool)))
% 5.84/6.07 (assume a1095 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on207592417_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on207592417_state F) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on207592417_state F) B)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool B) A))) tptp.bot_bo39439654e_bool)))))
% 5.84/6.07 (assume a1096 (forall ((F tptp.fun_pname_option_com) (X_1 tptp.pname)) (= (= (tptp.dom_pname_com F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) (exists ((V tptp.com)) (= F (tptp.fun_up879233478on_com (tptp.hAPP_o129566686on_com tptp.cOMBK_413306633_pname tptp.none_com) X_1 (tptp.hAPP_com_option_com tptp.some_com V)))))))
% 5.84/6.07 (assume a1097 (forall ((B tptp.fun_com_bool) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.minus_59609839m_bool B) A) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool (tptp.finite1275301314m_bool (tptp.hAPP_f57617970m_bool (tptp.cOMBB_2112550369ol_com (tptp.hAPP_f1898485935m_bool tptp.cOMBC_788185579m_bool tptp.minus_59609839m_bool)) (tptp.hAPP_f721468006m_bool (tptp.hAPP_f947797701m_bool tptp.cOMBC_1977231931m_bool tptp.insert_com) tptp.bot_bot_fun_com_bool))) B) A)))))
% 5.84/6.07 (assume a1098 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool B) A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool (tptp.finite315386934e_bool (tptp.hAPP_f647826488e_bool (tptp.cOMBB_1919352417_pname (tptp.hAPP_f182188835e_bool tptp.cOMBC_1880008793e_bool tptp.minus_1015773161e_bool)) (tptp.hAPP_f180827860e_bool (tptp.hAPP_f698292281e_bool tptp.cOMBC_1123258281e_bool tptp.insert_pname) tptp.bot_bo844097828e_bool))) B) A)))))
% 5.84/6.07 (assume a1099 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool B) A) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool (tptp.finite1720034636e_bool (tptp.hAPP_f306007574e_bool (tptp.cOMBB_1253415543_state (tptp.hAPP_f1873524693e_bool tptp.cOMBC_1626046675e_bool tptp.minus_1060678561e_bool)) (tptp.hAPP_f596150574e_bool (tptp.hAPP_f961492031e_bool tptp.cOMBC_1774708299e_bool tptp.insert1330351828_state) tptp.bot_bo39439654e_bool))) B) A)))))
% 5.84/6.07 (assume a1100 (forall ((B tptp.fun_fu1430349052l_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.minus_1290075917l_bool B) A) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool (tptp.finite1627341516l_bool (tptp.hAPP_f1149191722l_bool (tptp.cOMBB_631815671e_bool (tptp.hAPP_f1477350485l_bool tptp.cOMBC_694979519l_bool tptp.minus_1290075917l_bool)) (tptp.hAPP_f417341722l_bool (tptp.hAPP_f836143551l_bool tptp.cOMBC_772615479l_bool tptp.insert1325755072e_bool) tptp.bot_bo1649642514l_bool))) B) A)))))
% 5.84/6.07 (assume a1101 (forall ((B tptp.fun_fu1996308102l_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.minus_1119384757l_bool B) A) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool (tptp.finite1820487374l_bool (tptp.hAPP_f471491948l_bool (tptp.cOMBB_460931425e_bool (tptp.hAPP_f103280059l_bool tptp.cOMBC_646647229l_bool tptp.minus_1119384757l_bool)) (tptp.hAPP_f434845752l_bool (tptp.hAPP_f1793815761l_bool tptp.cOMBC_2079418125l_bool tptp.insert975831690e_bool) tptp.bot_bo133096688l_bool))) B) A)))))
% 5.84/6.07 (assume a1102 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A) (tptp.finite517504007_pname tptp.semila1579166468e_bool (tptp.hAPP_f265219918e_bool (tptp.hAPP_f1853922773e_bool tptp.cOMBC_1001821703e_bool (tptp.hAPP_f43306888e_bool (tptp.cOMBB_1717464465_pname tptp.insert1330351828_state) F)) tptp.bot_bo39439654e_bool) tptp.bot_bo39439654e_bool A)))))
% 5.84/6.07 (assume a1103 (forall ((A tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on737724108_pname tptp.some_pname) A))))
% 5.84/6.07 (assume a1104 (forall ((A tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.inj_on574065538_state tptp.some_H629028223_state) A))))
% 5.84/6.07 (assume a1105 (forall ((A tptp.fun_com_bool)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.inj_on11367768on_com tptp.some_com) A))))
% 5.84/6.07 (assume a1106 (forall ((A_6 tptp.com)) (not (= tptp.none_com (tptp.hAPP_com_option_com tptp.some_com A_6)))))
% 5.84/6.07 (assume a1107 (forall ((A_6 tptp.pname)) (not (= tptp.none_pname (tptp.hAPP_p1252095976_pname tptp.some_pname A_6)))))
% 5.84/6.07 (assume a1108 (forall ((A_6 tptp.hoare_363350478_state)) (not (= tptp.none_H1908530691_state (tptp.hAPP_H1942146718_state tptp.some_H629028223_state A_6)))))
% 5.84/6.07 (assume a1109 (forall ((A_5 tptp.com)) (not (= (tptp.hAPP_com_option_com tptp.some_com A_5) tptp.none_com))))
% 5.84/6.07 (assume a1110 (forall ((A_5 tptp.pname)) (not (= (tptp.hAPP_p1252095976_pname tptp.some_pname A_5) tptp.none_pname))))
% 5.84/6.07 (assume a1111 (forall ((A_5 tptp.hoare_363350478_state)) (not (= (tptp.hAPP_H1942146718_state tptp.some_H629028223_state A_5) tptp.none_H1908530691_state))))
% 5.84/6.07 (assume a1112 (forall ((X_1 tptp.option_com)) (= (forall ((Y_3 tptp.com)) (not (= X_1 (tptp.hAPP_com_option_com tptp.some_com Y_3)))) (= X_1 tptp.none_com))))
% 5.84/6.07 (assume a1113 (forall ((X_1 tptp.option_pname)) (= (forall ((Y_3 tptp.pname)) (not (= X_1 (tptp.hAPP_p1252095976_pname tptp.some_pname Y_3)))) (= X_1 tptp.none_pname))))
% 5.84/6.07 (assume a1114 (forall ((X_1 tptp.option131732143_state)) (= (forall ((Y_3 tptp.hoare_363350478_state)) (not (= X_1 (tptp.hAPP_H1942146718_state tptp.some_H629028223_state Y_3)))) (= X_1 tptp.none_H1908530691_state))))
% 5.84/6.07 (assume a1115 (forall ((X_1 tptp.option_com)) (= (not (= X_1 tptp.none_com)) (exists ((Y_3 tptp.com)) (= X_1 (tptp.hAPP_com_option_com tptp.some_com Y_3))))))
% 5.84/6.07 (assume a1116 (forall ((X_1 tptp.option_pname)) (= (not (= X_1 tptp.none_pname)) (exists ((Y_3 tptp.pname)) (= X_1 (tptp.hAPP_p1252095976_pname tptp.some_pname Y_3))))))
% 5.84/6.07 (assume a1117 (forall ((X_1 tptp.option131732143_state)) (= (not (= X_1 tptp.none_H1908530691_state)) (exists ((Y_3 tptp.hoare_363350478_state)) (= X_1 (tptp.hAPP_H1942146718_state tptp.some_H629028223_state Y_3))))))
% 5.84/6.07 (assume a1118 (forall ((M tptp.fun_pname_option_com)) (= (tptp.dom_pname_com M) (tptp.hAPP_f759274231e_bool tptp.collect_pname (tptp.hAPP_f759274231e_bool (tptp.cOMBB_647938656_pname tptp.fNot) (tptp.hAPP_o1092643708e_bool (tptp.hAPP_f837293113e_bool tptp.cOMBC_1381995473m_bool (tptp.hAPP_f919496731m_bool (tptp.cOMBB_418828222_pname tptp.fequal_option_com) M)) tptp.none_com))))))
% 5.84/6.07 (assume a1119 (forall ((A_4 tptp.pname) (M tptp.fun_pname_option_com)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_4) (tptp.dom_pname_com M))) (not (= (tptp.hAPP_p799580910on_com M A_4) tptp.none_com)))))
% 5.84/6.07 (assume a1120 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on207592417_state F) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))))))
% 5.84/6.07 (assume a1121 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on207592417_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B))) (= (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) B)) (= A B)))))
% 5.84/6.07 (assume a1122 (forall ((X_1 tptp.option_com)) (= (tptp.hBOOL (tptp.is_none_com X_1)) (= X_1 tptp.none_com))))
% 5.84/6.07 (assume a1123 (tptp.hBOOL (tptp.is_none_com tptp.none_com)))
% 5.84/6.07 (assume a1124 (forall ((X_1 tptp.pname) (Y_2 tptp.hoare_363350478_state) (F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on207592417_state F) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state Y_2) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on207592417_state (tptp.fun_up641226197_state F X_1 Y_2)) A))))))
% 5.84/6.07 (assume a1125 (forall ((B_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_4) A)) (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_4) B_1)) (tptp.hAPP_f674760225e_bool (tptp.hAPP_f246190092e_bool (tptp.finite446335722e_bool tptp.semila278973382e_bool) B_1) A)))))))
% 5.84/6.07 (assume a1126 (forall ((B_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool A_4) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) B_1)) (tptp.hAPP_f1180969799e_bool (tptp.hAPP_f644061942e_bool (tptp.finite1334634696e_bool tptp.semila1579166468e_bool) B_1) A)))))))
% 5.84/6.07 (assume a1127 (forall ((B_1 tptp.bool) (A_4 tptp.bool) (A tptp.fun_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool tptp.finite_finite_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool A_4) A)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) B_1)) (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool (tptp.finite1909292976l_bool tptp.semila1168014441p_bool) B_1) A)))))))
% 5.84/6.07 (assume a1128 (forall ((B_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_4) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f674760225e_bool (tptp.hAPP_f246190092e_bool (tptp.finite446335722e_bool tptp.semila1635148844e_bool) B_1) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_4) B_1)))))))
% 5.84/6.07 (assume a1129 (forall ((B_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool A_4) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1180969799e_bool (tptp.hAPP_f644061942e_bool (tptp.finite1334634696e_bool tptp.semila1129477150e_bool) B_1) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A_4) B_1)))))))
% 5.84/6.07 (assume a1130 (forall ((B_1 tptp.bool) (A_4 tptp.bool) (A tptp.fun_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool tptp.finite_finite_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool A_4) A)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool (tptp.finite1909292976l_bool tptp.semila310582991f_bool) B_1) A)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool A_4) B_1)))))))
% 5.84/6.07 (assume a1131 (forall ((B_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (= (tptp.hAPP_f674760225e_bool (tptp.hAPP_f246190092e_bool (tptp.finite446335722e_bool tptp.semila278973382e_bool) B_1) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A_4) (tptp.hAPP_f674760225e_bool (tptp.hAPP_f246190092e_bool (tptp.finite446335722e_bool tptp.semila278973382e_bool) B_1) A))))))
% 5.84/6.07 (assume a1132 (forall ((B_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (= (tptp.hAPP_f1180969799e_bool (tptp.hAPP_f644061942e_bool (tptp.finite1334634696e_bool tptp.semila1579166468e_bool) B_1) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A_4) (tptp.hAPP_f1180969799e_bool (tptp.hAPP_f644061942e_bool (tptp.finite1334634696e_bool tptp.semila1579166468e_bool) B_1) A))))))
% 5.84/6.07 (assume a1133 (forall ((B_1 tptp.bool) (A_4 tptp.bool) (A tptp.fun_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool tptp.finite_finite_bool A)) (= (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool (tptp.finite1909292976l_bool tptp.semila1168014441p_bool) B_1) (tptp.hAPP_f961197973l_bool (tptp.hAPP_b496459037l_bool tptp.insert_bool A_4) A))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool A_4) (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool (tptp.finite1909292976l_bool tptp.semila1168014441p_bool) B_1) A)))))))
% 5.84/6.07 (assume a1134 (forall ((B_1 tptp.fun_pname_bool) (A_4 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (= (tptp.hAPP_f674760225e_bool (tptp.hAPP_f246190092e_bool (tptp.finite446335722e_bool tptp.semila1635148844e_bool) B_1) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A_4) (tptp.hAPP_f674760225e_bool (tptp.hAPP_f246190092e_bool (tptp.finite446335722e_bool tptp.semila1635148844e_bool) B_1) A))))))
% 5.84/6.07 (assume a1135 (forall ((B_1 tptp.fun_Ho320143120e_bool) (A_4 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (= (tptp.hAPP_f1180969799e_bool (tptp.hAPP_f644061942e_bool (tptp.finite1334634696e_bool tptp.semila1129477150e_bool) B_1) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool A_4) (tptp.hAPP_f1180969799e_bool (tptp.hAPP_f644061942e_bool (tptp.finite1334634696e_bool tptp.semila1129477150e_bool) B_1) A))))))
% 5.84/6.07 (assume a1136 (forall ((F tptp.fun_pname_option_com)) (= (= (tptp.dom_pname_com F) tptp.bot_bo844097828e_bool) (forall ((X_2 tptp.pname)) (= (tptp.hAPP_p799580910on_com F X_2) tptp.none_com)))))
% 5.84/6.07 (assume a1137 (= (tptp.dom_pname_com (tptp.hAPP_o129566686on_com tptp.cOMBK_413306633_pname tptp.none_com)) tptp.bot_bo844097828e_bool))
% 5.84/6.07 (assume a1138 (= (tptp.set_com tptp.none_com) tptp.bot_bot_fun_com_bool))
% 5.84/6.07 (assume a1139 (= (tptp.set_pname tptp.none_pname) tptp.bot_bo844097828e_bool))
% 5.84/6.07 (assume a1140 (= (tptp.set_Ho1327198534_state tptp.none_H1908530691_state) tptp.bot_bo39439654e_bool))
% 5.84/6.07 (assume a1141 (forall ((Xo tptp.option_com)) (= (= (tptp.set_com Xo) tptp.bot_bot_fun_com_bool) (= Xo tptp.none_com))))
% 5.84/6.07 (assume a1142 (forall ((Xo tptp.option_pname)) (= (= (tptp.set_pname Xo) tptp.bot_bo844097828e_bool) (= Xo tptp.none_pname))))
% 5.84/6.07 (assume a1143 (forall ((Xo tptp.option131732143_state)) (= (= (tptp.set_Ho1327198534_state Xo) tptp.bot_bo39439654e_bool) (= Xo tptp.none_H1908530691_state))))
% 5.84/6.07 (assume a1144 (forall ((F tptp.fun_fu410713561e_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool (tptp.hAPP_f559147733l_bool (tptp.image_2063528359e_bool F) A)) A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.inj_on1490514707e_bool F) A)) (= (tptp.hAPP_f559147733l_bool (tptp.image_2063528359e_bool F) A) A))))))
% 5.84/6.07 (assume a1145 (forall ((F tptp.fun_fu1066574909e_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool (tptp.hAPP_f85652879l_bool (tptp.image_1332939013e_bool F) A)) A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.inj_on938701937e_bool F) A)) (= (tptp.hAPP_f85652879l_bool (tptp.image_1332939013e_bool F) A) A))))))
% 5.84/6.07 (assume a1146 (forall ((F tptp.fun_pname_pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname F) A)) A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on_pname_pname F) A)) (= (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname F) A) A))))))
% 5.84/6.07 (assume a1147 (forall ((F tptp.fun_Ho901937921_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.image_2068641359_state F) A)) A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.inj_on1943491515_state F) A)) (= (tptp.hAPP_f1749453397e_bool (tptp.image_2068641359_state F) A) A))))))
% 5.84/6.07 (assume a1148 (forall ((F tptp.fun_fu410713561e_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A) (tptp.hAPP_f559147733l_bool (tptp.image_2063528359e_bool F) A))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.inj_on1490514707e_bool F) A))))))
% 5.84/6.07 (assume a1149 (forall ((F tptp.fun_fu1066574909e_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool tptp.ord_le2031828156l_bool A) (tptp.hAPP_f85652879l_bool (tptp.image_1332939013e_bool F) A))) (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.inj_on938701937e_bool F) A))))))
% 5.84/6.07 (assume a1150 (forall ((F tptp.fun_pname_pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.hAPP_f759274231e_bool (tptp.image_pname_pname F) A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on_pname_pname F) A))))))
% 5.84/6.07 (assume a1151 (forall ((F tptp.fun_Ho901937921_state) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A) (tptp.hAPP_f1749453397e_bool (tptp.image_2068641359_state F) A))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.inj_on1943491515_state F) A))))))
% 5.84/6.07 (assume a1152 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool) (F tptp.fun_pn1262351275_state) (C_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on207592417_state F) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) C_1)) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) B))))))))
% 5.84/6.07 (assume a1153 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool) (F tptp.fun_pn1262351275_state) (C_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on207592417_state F) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) C_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) C_1)) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A)) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) B))))))))
% 5.84/6.07 (assume a1154 (forall ((B tptp.fun_com_bool) (A tptp.fun_com_bool)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool tptp.semila605046092m_bool A) B) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool (tptp.finite1275301314m_bool tptp.insert_com) B) A)))))
% 5.84/6.07 (assume a1155 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool A) B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool (tptp.finite315386934e_bool tptp.insert_pname) B) A)))))
% 5.84/6.07 (assume a1156 (forall ((B tptp.fun_Ho320143120e_bool) (A tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool A) B) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool (tptp.finite1720034636e_bool tptp.insert1330351828_state) B) A)))))
% 5.84/6.07 (assume a1157 (forall ((B tptp.fun_fu1430349052l_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool A) B) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool (tptp.finite1627341516l_bool tptp.insert1325755072e_bool) B) A)))))
% 5.84/6.07 (assume a1158 (forall ((B tptp.fun_fu1996308102l_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila862847378l_bool A) B) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool (tptp.finite1820487374l_bool tptp.insert975831690e_bool) B) A)))))
% 5.84/6.07 (assume a1159 (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_option_com) (X_1 tptp.pname)) (=> (= (tptp.hAPP_p799580910on_com F X_1) tptp.none_com) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool (tptp.dom_pname_com F)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool (tptp.dom_pname_com F)) A)))))
% 5.84/6.07 (assume a1160 (forall ((X_1 tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool X_1) X_1)) (tptp.hBOOL X_1))))
% 5.84/6.07 (assume a1161 (forall ((X_1 tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool X_1) X_1) X_1)))
% 5.84/6.07 (assume a1162 (forall ((X_1 tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool X_1) X_1) X_1)))
% 5.84/6.07 (assume a1163 (forall ((X_1 tptp.com) (A tptp.fun_com_bool) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite860057415ne_com F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (=> (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) A))) (= (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com X_1) A)) (tptp.hAPP_f1276420679ol_com (tptp.hAPP_c1546426672ol_com (tptp.finite_fold_com_com F) X_1) A)))))))
% 5.84/6.07 (assume a1164 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (= (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_f1297739591_pname (tptp.hAPP_p1630511146_pname (tptp.finite1657623752_pname F) X_1) A)))))))
% 5.84/6.07 (assume a1165 (forall ((X_1 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite269920017_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (=> (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) A))) (= (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state X_1) A)) (tptp.hAPP_f1242401993_state (tptp.hAPP_H2108048200_state (tptp.finite1620577938_state F) X_1) A)))))))
% 5.84/6.07 (assume a1166 (forall ((X_1 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1626890877e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A))) (= (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) A)) (tptp.hAPP_f674760225e_bool (tptp.hAPP_f246190092e_bool (tptp.finite446335722e_bool F) X_1) A)))))))
% 5.84/6.07 (assume a1167 (forall ((X_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite1264277005e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_1) A))) (= (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool X_1) A)) (tptp.hAPP_f1180969799e_bool (tptp.hAPP_f644061942e_bool (tptp.finite1334634696e_bool F) X_1) A)))))))
% 5.84/6.07 (assume a1168 (forall ((A_4 tptp.com) (A tptp.fun_com_bool) (F tptp.fun_com_fun_com_com) (Fa tptp.fun_fun_com_bool_com)) (=> (tptp.hBOOL (tptp.finite666746948em_com F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f990396704l_bool tptp.finite_finite_com A)) (= (tptp.hAPP_f1276420679ol_com Fa (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool tptp.insert_com A_4) A)) (tptp.hAPP_f1276420679ol_com (tptp.hAPP_c1546426672ol_com (tptp.finite_fold_com_com F) A_4) A))))))
% 5.84/6.07 (assume a1169 (forall ((A_4 tptp.pname) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (Fa tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite89670078_pname F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (= (tptp.hAPP_f1297739591_pname Fa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) A)) (tptp.hAPP_f1297739591_pname (tptp.hAPP_p1630511146_pname (tptp.finite1657623752_pname F) A_4) A))))))
% 5.84/6.07 (assume a1170 (forall ((A_4 tptp.hoare_363350478_state) (A tptp.fun_Ho320143120e_bool) (F tptp.fun_Ho31865764_state) (Fa tptp.fun_fu700438391_state)) (=> (tptp.hBOOL (tptp.finite2031572_state F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state A)) (= (tptp.hAPP_f1242401993_state Fa (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state A_4) A)) (tptp.hAPP_f1242401993_state (tptp.hAPP_H2108048200_state (tptp.finite1620577938_state F) A_4) A))))))
% 5.84/6.07 (assume a1171 (forall ((A_4 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool) (F tptp.fun_fu2101097872e_bool) (Fa tptp.fun_fu608906319e_bool)) (=> (tptp.hBOOL (tptp.finite1268145088e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (= (tptp.hAPP_f674760225e_bool Fa (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_4) A)) (tptp.hAPP_f674760225e_bool (tptp.hAPP_f246190092e_bool (tptp.finite446335722e_bool F) A_4) A))))))
% 5.84/6.07 (assume a1172 (forall ((A_4 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool) (F tptp.fun_fu531943146e_bool) (Fa tptp.fun_fu1671561851e_bool)) (=> (tptp.hBOOL (tptp.finite2090946954e_bool F Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (= (tptp.hAPP_f1180969799e_bool Fa (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool tptp.insert975831690e_bool A_4) A)) (tptp.hAPP_f1180969799e_bool (tptp.hAPP_f644061942e_bool (tptp.finite1334634696e_bool F) A_4) A))))))
% 5.84/6.07 (assume a1173 (forall ((Pn tptp.pname)) (=> (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) tptp.none_com)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt (tptp.hAPP_pname_com tptp.body_1 Pn))))))
% 5.84/6.07 (assume a1174 (forall ((F tptp.fun_pn1262351275_state) (A_4 tptp.pname) (A tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on207592417_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) A))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on207592417_state F) A)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state (tptp.hAPP_p1337579261_state F A_4)) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_4) tptp.bot_bo844097828e_bool))))))))))
% 5.84/6.07 (assume a1175 (forall ((F tptp.fun_pname_option_com) (X_1 tptp.pname) (Y_2 tptp.option_com)) (and (=> (= Y_2 tptp.none_com) (= (tptp.dom_pname_com (tptp.fun_up879233478on_com F X_1 Y_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool (tptp.dom_pname_com F)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)))) (=> (not (= Y_2 tptp.none_com)) (= (tptp.dom_pname_com (tptp.fun_up879233478on_com F X_1 Y_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) (tptp.dom_pname_com F)))))))
% 5.84/6.07 (assume a1176 (forall ((C tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (forall ((X_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B_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 B_1) C)) (tptp.hAPP_f674760225e_bool (tptp.hAPP_f246190092e_bool (tptp.finite446335722e_bool tptp.semila1635148844e_bool) C) A)))))))
% 5.84/6.07 (assume a1177 (forall ((C tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool B_1) X_2)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool B_1) C)) (tptp.hAPP_f1180969799e_bool (tptp.hAPP_f644061942e_bool (tptp.finite1334634696e_bool tptp.semila1129477150e_bool) C) A)))))))
% 5.84/6.07 (assume a1178 (forall ((C tptp.bool) (B_1 tptp.bool) (A tptp.fun_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool tptp.finite_finite_bool A)) (=> (forall ((X_2 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool B_1) X_2)))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila310582991f_bool B_1) C)) (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool (tptp.finite1909292976l_bool tptp.semila310582991f_bool) C) A)))))))
% 5.84/6.07 (assume a1179 (forall ((C tptp.fun_pname_bool) (B_1 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (forall ((X_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool X_2) B_1)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f674760225e_bool (tptp.hAPP_f246190092e_bool (tptp.finite446335722e_bool tptp.semila278973382e_bool) C) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila278973382e_bool B_1) C)))))))
% 5.84/6.07 (assume a1180 (forall ((C tptp.fun_Ho320143120e_bool) (B_1 tptp.fun_Ho320143120e_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (forall ((X_2 tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool tptp.member1534059107e_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool X_2) B_1)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1180969799e_bool (tptp.hAPP_f644061942e_bool (tptp.finite1334634696e_bool tptp.semila1579166468e_bool) C) A)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1579166468e_bool B_1) C)))))))
% 5.84/6.07 (assume a1181 (forall ((C tptp.bool) (B_1 tptp.bool) (A tptp.fun_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool tptp.finite_finite_bool A)) (=> (forall ((X_2 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) B_1)))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool (tptp.finite1909292976l_bool tptp.semila1168014441p_bool) C) A)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.semila1168014441p_bool B_1) C)))))))
% 5.84/6.07 (assume a1182 (forall ((A_3 tptp.fun_pname_bool) (A tptp.fun_Ho320143120e_bool)) (=> (not (= A tptp.bot_bo39439654e_bool)) (= (exists ((F_1 tptp.fun_Ho713471079_pname)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.inj_on216215575_pname F_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F_1) A)) A_3)))) (exists ((G_1 tptp.fun_pn1262351275_state)) (= (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state G_1) A_3) A))))))
% 5.84/6.07 (assume a1183 (forall ((A_3 tptp.fun_Ho320143120e_bool) (A tptp.fun_pname_bool)) (=> (not (= A tptp.bot_bo844097828e_bool)) (= (exists ((F_1 tptp.fun_pn1262351275_state)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.inj_on207592417_state F_1) A)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F_1) A)) A_3)))) (exists ((G_1 tptp.fun_Ho713471079_pname)) (= (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname G_1) A_3) A))))))
% 5.84/6.07 (assume a1184 (forall ((Y_1 tptp.option_com)) (=> (not (= Y_1 tptp.none_com)) (not (forall ((A_2 tptp.com)) (not (= Y_1 (tptp.hAPP_com_option_com tptp.some_com A_2))))))))
% 5.84/6.07 (assume a1185 (forall ((Y_1 tptp.option_pname)) (=> (not (= Y_1 tptp.none_pname)) (not (forall ((A_2 tptp.pname)) (not (= Y_1 (tptp.hAPP_p1252095976_pname tptp.some_pname A_2))))))))
% 5.84/6.07 (assume a1186 (forall ((Y_1 tptp.option131732143_state)) (=> (not (= Y_1 tptp.none_H1908530691_state)) (not (forall ((A_2 tptp.hoare_363350478_state)) (not (= Y_1 (tptp.hAPP_H1942146718_state tptp.some_H629028223_state A_2))))))))
% 5.84/6.07 (assume a1187 (forall ((G tptp.fun_Ho713471079_pname) (B tptp.fun_Ho320143120e_bool) (F tptp.fun_pn1262351275_state) (A tptp.fun_pname_bool)) (exists ((A_1 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A_1) A)) (forall ((X_2 tptp.pname)) (=> (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.hAPP_p338031245l_bool tptp.member_pname X_2) (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname G) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool B) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A_1)))))))) (exists ((H tptp.fun_pn1262351275_state)) (and (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A_1)) (= (tptp.hAPP_p1337579261_state H X_2) (tptp.hAPP_p1337579261_state F X_2)))) (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) A_1))) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state (tptp.hAPP_p1337579261_state H X_2)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool B) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) A_1)))) (= X_2 (tptp.hAPP_H1346202419_pname G (tptp.hAPP_p1337579261_state H X_2))))))))))))
% 5.84/6.07 (assume a1188 (forall ((G tptp.fun_pn1262351275_state) (B tptp.fun_pname_bool) (F tptp.fun_Ho713471079_pname) (A tptp.fun_Ho320143120e_bool)) (exists ((A_1 tptp.fun_Ho320143120e_bool)) (and (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool A_1) A)) (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A_1)) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state G) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool B) (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) A_1)))))))) (exists ((H tptp.fun_Ho713471079_pname)) (and (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) A_1)) (= (tptp.hAPP_H1346202419_pname H X_2) (tptp.hAPP_H1346202419_pname F X_2)))) (forall ((X_2 tptp.hoare_363350478_state)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_2) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.minus_1060678561e_bool A) A_1))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_H1346202419_pname H X_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool B) (tptp.hAPP_f773602357e_bool (tptp.image_1927198851_pname F) A_1)))) (= X_2 (tptp.hAPP_p1337579261_state G (tptp.hAPP_H1346202419_pname H X_2))))))))))))
% 5.84/6.07 (assume a1189 (forall ((F tptp.fun_pn1262351275_state) (A tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) (tptp.vimage597774871_state F A))) A))))
% 5.84/6.07 (assume a1190 (forall ((M tptp.fun_pname_option_com) (A tptp.fun_pname_bool)) (= (tptp.dom_pname_com (tptp.restri1382200118me_com M A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.dom_pname_com M)) A))))
% 5.84/6.07 (assume a1191 (forall ((B tptp.fun_fu1430349052l_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (not (= A 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) B) tptp.bot_bo1649642514l_bool) (= (tptp.hAPP_f674760225e_bool tptp.big_la28065288e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool A) B)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f674760225e_bool tptp.big_la28065288e_bool A)) (tptp.hAPP_f674760225e_bool tptp.big_la28065288e_bool B))))))))))
% 5.84/6.07 (assume a1192 (forall ((B tptp.fun_fu1996308102l_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (not (= A tptp.bot_bo133096688l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool B)) (=> (not (= B tptp.bot_bo133096688l_bool)) (=> (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila218417144l_bool A) B) tptp.bot_bo133096688l_bool) (= (tptp.hAPP_f1180969799e_bool tptp.big_la1639670082e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila862847378l_bool A) B)) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1180969799e_bool tptp.big_la1639670082e_bool A)) (tptp.hAPP_f1180969799e_bool tptp.big_la1639670082e_bool B))))))))))
% 5.84/6.07 (assume a1193 (forall ((B tptp.fun_fu1430349052l_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (not (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool A) B) tptp.bot_bo1649642514l_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f674760225e_bool tptp.big_la28065288e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1782091504l_bool A) B))) (tptp.hAPP_f674760225e_bool tptp.big_la28065288e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool tptp.semila1130628874l_bool A) B))) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.semila1635148844e_bool (tptp.hAPP_f674760225e_bool tptp.big_la28065288e_bool A)) (tptp.hAPP_f674760225e_bool tptp.big_la28065288e_bool B))))))))
% 5.84/6.07 (assume a1194 (forall ((B tptp.fun_fu1996308102l_bool) (A tptp.fun_fu1996308102l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1287348838l_bool tptp.finite2030652771e_bool B)) (=> (not (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila218417144l_bool A) B) tptp.bot_bo133096688l_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1180969799e_bool tptp.big_la1639670082e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila862847378l_bool A) B))) (tptp.hAPP_f1180969799e_bool tptp.big_la1639670082e_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool tptp.semila218417144l_bool A) B))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool tptp.semila1129477150e_bool (tptp.hAPP_f1180969799e_bool tptp.big_la1639670082e_bool A)) (tptp.hAPP_f1180969799e_bool tptp.big_la1639670082e_bool B))))))))
% 5.84/6.07 (assume a1195 (forall ((X_1 tptp.com)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool tptp.member_com X_1) tptp.top_top_fun_com_bool))))
% 5.84/6.07 (assume a1196 (forall ((X_1 tptp.pname)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) tptp.top_to2127735616e_bool))))
% 5.84/6.07 (assume a1197 (forall ((X_1 tptp.hoare_363350478_state)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state X_1) tptp.top_to1618141706e_bool))))
% 5.84/6.07 (assume a1198 (forall ((F tptp.fun_pn1262351275_state) (X_1 tptp.pname)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state (tptp.hAPP_p1337579261_state F X_1)) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state F) tptp.top_to2127735616e_bool)))))
% 5.84/6.07 (assume a1199 (forall ((P tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P))) (not (tptp.hBOOL P)))))
% 5.84/6.07 (assume a1200 (forall ((P tptp.bool)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P)))))
% 5.84/6.07 (assume a1201 (forall ((Q tptp.bool) (P tptp.bool)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q)))))
% 5.84/6.07 (assume a1202 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL P))))
% 5.84/6.07 (assume a1203 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL Q))))
% 5.84/6.07 (assume a1204 (forall ((Q tptp.bool) (P tptp.bool)) (or (not (tptp.hBOOL P)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q)))))
% 5.84/6.07 (assume a1205 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q)))))
% 5.84/6.07 (assume a1206 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q))) (tptp.hBOOL P) (tptp.hBOOL Q))))
% 5.84/6.07 (assume a1207 (not (tptp.hBOOL tptp.fFalse)))
% 5.84/6.07 (assume a1208 (forall ((P tptp.bool)) (or (= P tptp.fTrue) (= P tptp.fFalse))))
% 5.84/6.07 (assume a1209 (forall ((Q tptp.bool) (P tptp.bool)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q)))))
% 5.84/6.07 (assume a1210 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q)))))
% 5.84/6.07 (assume a1211 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q))) (not (tptp.hBOOL P)) (tptp.hBOOL Q))))
% 5.84/6.07 (assume a1212 (forall ((X tptp.state) (P tptp.fun_state_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f327114704l_bool tptp.fAll_state P))) (tptp.hBOOL (tptp.hAPP_state_bool P X)))))
% 5.84/6.07 (assume a1213 (forall ((X tptp.com) (Y tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool (tptp.hAPP_c1396316405m_bool tptp.fequal_com X) Y))) (= X Y))))
% 5.84/6.07 (assume a1214 (forall ((X tptp.com) (Y tptp.com)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_com_bool (tptp.hAPP_c1396316405m_bool tptp.fequal_com X) Y)))))
% 5.84/6.07 (assume a1215 (forall ((X tptp.pname) (Y tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname X) Y))) (= X Y))))
% 5.84/6.07 (assume a1216 (forall ((X tptp.pname) (Y tptp.pname)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname X) Y)))))
% 5.84/6.07 (assume a1217 (forall ((X tptp.state) (Y tptp.state)) (or (not (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool tptp.fequal_state X) Y))) (= X Y))))
% 5.84/6.07 (assume a1218 (forall ((X tptp.state) (Y tptp.state)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool tptp.fequal_state X) Y)))))
% 5.84/6.07 (assume a1219 (forall ((P tptp.bool) (Q tptp.com)) (= (tptp.hAPP_com_bool (tptp.hAPP_b1153789088m_bool tptp.cOMBK_bool_com P) Q) P)))
% 5.84/6.07 (assume a1220 (forall ((P tptp.com) (Q tptp.pname)) (= (tptp.hAPP_pname_com (tptp.hAPP_c1494068046me_com tptp.cOMBK_com_pname P) Q) P)))
% 5.84/6.07 (assume a1221 (forall ((P tptp.bool) (Q tptp.pname)) (= (tptp.hAPP_pname_bool (tptp.hAPP_b76515610e_bool tptp.cOMBK_bool_pname P) Q) P)))
% 5.84/6.07 (assume a1222 (forall ((X tptp.option_com) (Y tptp.option_com)) (= (tptp.hAPP_o356497025on_com (tptp.hAPP_o334540577on_com (tptp.hAPP_b1679505845on_com tptp.if_option_com tptp.fTrue) X) Y) X)))
% 5.84/6.07 (assume a1223 (forall ((X tptp.option_com) (Y tptp.option_com)) (= (tptp.hAPP_o356497025on_com (tptp.hAPP_o334540577on_com (tptp.hAPP_b1679505845on_com tptp.if_option_com tptp.fFalse) X) Y) Y)))
% 5.84/6.07 (assume a1224 (forall ((P tptp.bool)) (or (= P tptp.fTrue) (= P tptp.fFalse))))
% 5.84/6.07 (assume a1225 (forall ((P tptp.pname) (Q tptp.pname)) (= (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname tptp.cOMBK_pname_pname P) Q) P)))
% 5.84/6.07 (assume a1226 (forall ((X tptp.option_com) (Y tptp.option_com)) (or (not (tptp.hBOOL (tptp.hAPP_option_com_bool (tptp.hAPP_o1684370239m_bool tptp.fequal_option_com X) Y))) (= X Y))))
% 5.84/6.07 (assume a1227 (forall ((X tptp.option_com) (Y tptp.option_com)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_option_com_bool (tptp.hAPP_o1684370239m_bool tptp.fequal_option_com X) Y)))))
% 5.84/6.07 (assume a1228 (forall ((X tptp.fun_com_bool) (Y tptp.fun_com_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.fequal_fun_com_bool X) Y))) (= X Y))))
% 5.84/6.07 (assume a1229 (forall ((X tptp.fun_com_bool) (Y tptp.fun_com_bool)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f990396704l_bool (tptp.hAPP_f273696895l_bool tptp.fequal_fun_com_bool X) Y)))))
% 5.84/6.07 (assume a1230 (forall ((X tptp.fun_pname_bool) (Y tptp.fun_pname_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool X) Y))) (= X Y))))
% 5.84/6.07 (assume a1231 (forall ((X tptp.fun_pname_bool) (Y tptp.fun_pname_bool)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool X) Y)))))
% 5.84/6.07 (assume a1232 (forall ((P tptp.fun_com_fun_com_bool) (Q tptp.com) (R tptp.com)) (= (tptp.hAPP_com_bool (tptp.hAPP_c1396316405m_bool (tptp.hAPP_f908845385m_bool tptp.cOMBC_com_com_bool P) Q) R) (tptp.hAPP_com_bool (tptp.hAPP_c1396316405m_bool P R) Q))))
% 5.84/6.07 (assume a1233 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_com_bool) (R tptp.com)) (= (tptp.hAPP_com_bool (tptp.hAPP_f1682609283m_bool (tptp.cOMBB_bool_bool_com P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_com_bool Q R)))))
% 5.84/6.07 (assume a1234 (forall ((P tptp.fun_co2042843794l_bool) (Q tptp.fun_com_bool) (R tptp.com)) (= (tptp.hAPP_com_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f328772264m_bool tptp.cOMBS_com_bool_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_c1580157610l_bool P R) (tptp.hAPP_com_bool Q R)))))
% 5.84/6.07 (assume a1235 (forall ((P tptp.fun_co1877906717e_bool) (Q tptp.pname) (R tptp.com)) (= (tptp.hAPP_com_bool (tptp.hAPP_p1639923567m_bool (tptp.hAPP_f734198589m_bool tptp.cOMBC_com_pname_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_c1967741679e_bool P R) Q))))
% 5.84/6.07 (assume a1236 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_pname_bool) (R tptp.pname)) (= (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)))))
% 5.84/6.07 (assume a1237 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_state_bool) (R tptp.state)) (= (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)))))
% 5.84/6.07 (assume a1238 (forall ((P tptp.fun_st2063251938l_bool) (Q tptp.bool) (R tptp.state)) (= (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))))
% 5.84/6.07 (assume a1239 (forall ((P tptp.fun_pn250273176l_bool) (Q tptp.fun_pname_bool) (R tptp.pname)) (= (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)))))
% 5.84/6.07 (assume a1240 (forall ((P tptp.fun_st2063251938l_bool) (Q tptp.fun_state_bool) (R tptp.state)) (= (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)))))
% 5.84/6.07 (assume a1241 (forall ((P tptp.fun_pn800050071e_bool) (Q tptp.pname) (R tptp.pname)) (= (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))))
% 5.84/6.07 (assume a1242 (forall ((P tptp.fun_st1506752259e_bool) (Q tptp.state) (R tptp.state)) (= (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))))
% 5.84/6.07 (assume a1243 (forall ((P tptp.option_com) (Q tptp.pname)) (= (tptp.hAPP_p799580910on_com (tptp.hAPP_o129566686on_com tptp.cOMBK_413306633_pname P) Q) P)))
% 5.84/6.07 (assume a1244 (forall ((P tptp.bool) (Q tptp.fun_pname_bool)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_b357632156l_bool tptp.cOMBK_1857069011e_bool P) Q) P)))
% 5.84/6.07 (assume a1245 (forall ((P tptp.fun_state_bool) (Q tptp.state)) (= (tptp.hAPP_s1806633685e_bool (tptp.hAPP_f1863945078e_bool tptp.cOMBK_631994958_state P) Q) P)))
% 5.84/6.07 (assume a1246 (forall ((X tptp.hoare_363350478_state) (Y tptp.hoare_363350478_state)) (= (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state (tptp.hAPP_b594649092_state tptp.if_Hoa29189214_state tptp.fTrue) X) Y) X)))
% 5.84/6.07 (assume a1247 (forall ((X tptp.hoare_363350478_state) (Y tptp.hoare_363350478_state)) (= (tptp.hAPP_H1982017439_state (tptp.hAPP_H230141040_state (tptp.hAPP_b594649092_state tptp.if_Hoa29189214_state tptp.fFalse) X) Y) Y)))
% 5.84/6.07 (assume a1248 (forall ((P tptp.bool)) (or (= P tptp.fTrue) (= P tptp.fFalse))))
% 5.84/6.07 (assume a1249 (forall ((X tptp.hoare_363350478_state) (Y tptp.hoare_363350478_state)) (or (not (tptp.hBOOL (tptp.hAPP_H1645464494e_bool (tptp.hAPP_H705653759e_bool tptp.fequal1026769423_state X) Y))) (= X Y))))
% 5.84/6.07 (assume a1250 (forall ((X tptp.hoare_363350478_state) (Y tptp.hoare_363350478_state)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_H1645464494e_bool (tptp.hAPP_H705653759e_bool tptp.fequal1026769423_state X) Y)))))
% 5.84/6.07 (assume a1251 (forall ((P tptp.fun_option_com_com) (Q tptp.fun_pname_option_com) (R tptp.pname)) (= (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)))))
% 5.84/6.07 (assume a1252 (forall ((P tptp.fun_pn1824415994m_bool) (Q tptp.option_com) (R tptp.pname)) (= (tptp.hAPP_pname_bool (tptp.hAPP_o1092643708e_bool (tptp.hAPP_f837293113e_bool tptp.cOMBC_1381995473m_bool P) Q) R) (tptp.hAPP_option_com_bool (tptp.hAPP_p558118546m_bool P R) Q))))
% 5.84/6.07 (assume a1253 (forall ((P tptp.fun_fu1362071682l_bool) (Q tptp.fun_com_fun_com_bool) (R tptp.com)) (= (tptp.hAPP_com_bool (tptp.hAPP_f1998868198m_bool (tptp.cOMBB_298914627ol_com P) Q) R) (tptp.hAPP_f990396704l_bool P (tptp.hAPP_c1396316405m_bool Q R)))))
% 5.84/6.07 (assume a1254 (forall ((P tptp.fun_co1633267573l_bool) (Q tptp.fun_com_bool) (R tptp.com)) (= (tptp.hAPP_com_bool (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f578650245m_bool tptp.cOMBC_1904837336l_bool P) Q) R) (tptp.hAPP_f990396704l_bool (tptp.hAPP_c667411853l_bool P R) Q))))
% 5.84/6.07 (assume a1255 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_com_bool) (R tptp.com)) (= (tptp.hAPP_c1580157610l_bool (tptp.hAPP_f954469007l_bool (tptp.cOMBB_886968260ol_com P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_com_bool Q R)))))
% 5.84/6.07 (assume a1256 (forall ((P tptp.fun_pn800050071e_bool) (Q tptp.fun_com_pname) (R tptp.com)) (= (tptp.hAPP_c1967741679e_bool (tptp.hAPP_f835719487e_bool (tptp.cOMBB_1083901850ol_com P) Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_com_pname Q R)))))
% 5.84/6.07 (assume a1257 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_fu1430349052l_bool) (R tptp.fun_pname_bool)) (= (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)))))
% 5.84/6.07 (assume a1258 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_pname_bool) (R tptp.pname)) (= (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)))))
% 5.84/6.07 (assume a1259 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_state_bool) (R tptp.state)) (= (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)))))
% 5.84/6.07 (assume a1260 (forall ((P tptp.fun_fu31783638l_bool) (Q tptp.fun_fu1430349052l_bool) (R tptp.fun_pname_bool)) (= (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)))))
% 5.84/6.07 (assume a1261 (forall ((P tptp.fun_fu1430349052l_bool) (Q tptp.fun_pn800050071e_bool) (R tptp.pname)) (= (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)))))
% 5.84/6.07 (assume a1262 (forall ((P tptp.fun_fu93307442l_bool) (Q tptp.fun_st1506752259e_bool) (R tptp.state)) (= (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)))))
% 5.84/6.07 (assume a1263 (forall ((P tptp.fun_pn422929397l_bool) (Q tptp.fun_pname_bool) (R tptp.pname)) (= (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))))
% 5.84/6.07 (assume a1264 (forall ((P tptp.fun_st1483075957e_bool) (Q tptp.bool) (R tptp.state)) (= (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))))
% 5.84/6.07 (assume a1265 (forall ((P tptp.fun_fu410713561e_bool) (Q tptp.pname) (R tptp.fun_pname_bool)) (= (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))))
% 5.84/6.07 (assume a1266 (forall ((P tptp.fun_pn800050071e_bool) (Q tptp.fun_pname_pname) (R tptp.pname)) (= (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)))))
% 5.84/6.07 (assume a1267 (forall ((P tptp.com) (Q tptp.hoare_363350478_state)) (= (tptp.hAPP_H2142737465te_com (tptp.hAPP_c6662434te_com tptp.cOMBK_1864507658_state P) Q) P)))
% 5.84/6.07 (assume a1268 (forall ((P tptp.hoare_363350478_state) (Q tptp.com)) (= (tptp.hAPP_c1041435779_state (tptp.hAPP_H154362754_state tptp.cOMBK_818325696te_com P) Q) P)))
% 5.84/6.07 (assume a1269 (forall ((P tptp.bool) (Q tptp.hoare_363350478_state)) (= (tptp.hAPP_H1645464494e_bool (tptp.hAPP_b230077104e_bool tptp.cOMBK_574827367_state P) Q) P)))
% 5.84/6.07 (assume a1270 (forall ((P tptp.pname) (Q tptp.hoare_363350478_state)) (= (tptp.hAPP_H1346202419_pname (tptp.hAPP_p1379817622_pname tptp.cOMBK_83433476_state P) Q) P)))
% 5.84/6.07 (assume a1271 (forall ((P tptp.hoare_363350478_state) (Q tptp.pname)) (= (tptp.hAPP_p1337579261_state (tptp.hAPP_H1607320188_state tptp.cOMBK_92056634_pname P) Q) P)))
% 5.84/6.07 (assume a1272 (forall ((X tptp.fun_Ho320143120e_bool) (Y tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.fequal731041167e_bool X) Y))) (= X Y))))
% 5.84/6.07 (assume a1273 (forall ((X tptp.fun_Ho320143120e_bool) (Y tptp.fun_Ho320143120e_bool)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.fequal731041167e_bool X) Y)))))
% 5.84/6.07 (assume a1274 (forall ((P tptp.fun_pn1580610524on_com) (Q tptp.fun_pname_option_com) (R tptp.pname)) (= (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)))))
% 5.84/6.07 (assume a1275 (forall ((P tptp.fun_co1098712835e_bool) (Q tptp.hoare_363350478_state) (R tptp.com)) (= (tptp.hAPP_com_bool (tptp.hAPP_H176808977m_bool (tptp.hAPP_f1375689733m_bool tptp.cOMBC_1517337958e_bool P) Q) R) (tptp.hAPP_H1645464494e_bool (tptp.hAPP_c566546971e_bool P R) Q))))
% 5.84/6.07 (assume a1276 (forall ((P tptp.fun_co482540593_state) (Q tptp.fun_pname_com) (R tptp.pname)) (= (tptp.hAPP_p1337579261_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname P) Q) R) (tptp.hAPP_c1041435779_state P (tptp.hAPP_pname_com Q R)))))
% 5.84/6.07 (assume a1277 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_Ho320143120e_bool) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool (tptp.cOMBB_2059354034_state P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_H1645464494e_bool Q R)))))
% 5.84/6.07 (assume a1278 (forall ((P tptp.fun_Ho544647106l_bool) (Q tptp.fun_Ho320143120e_bool) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1612626488e_bool tptp.cOMBS_56025283l_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_H1173243534l_bool P R) (tptp.hAPP_H1645464494e_bool Q R)))))
% 5.84/6.07 (assume a1279 (forall ((P tptp.fun_co2038576728m_bool) (Q tptp.fun_com_bool) (R tptp.com)) (= (tptp.hAPP_c1396316405m_bool (tptp.hAPP_f721468006m_bool (tptp.hAPP_f947797701m_bool tptp.cOMBC_1977231931m_bool P) Q) R) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_c566651504m_bool P R) Q))))
% 5.84/6.07 (assume a1280 (forall ((P tptp.fun_pn1521100553e_bool) (Q tptp.hoare_363350478_state) (R tptp.pname)) (= (tptp.hAPP_pname_bool (tptp.hAPP_H2033014795e_bool (tptp.hAPP_f443781369e_bool tptp.cOMBC_1422551904e_bool P) Q) R) (tptp.hAPP_H1645464494e_bool (tptp.hAPP_p2009489185e_bool P R) Q))))
% 5.84/6.07 (assume a1281 (forall ((P tptp.fun_Ho1262521325e_bool) (Q tptp.pname) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H1645464494e_bool (tptp.hAPP_p2009489185e_bool (tptp.hAPP_f626747953e_bool tptp.cOMBC_1026256022e_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_H2033014795e_bool P R) Q))))
% 5.84/6.07 (assume a1282 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_fu1430349052l_bool) (R tptp.fun_pname_bool)) (= (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)))))
% 5.84/6.07 (assume a1283 (forall ((P tptp.fun_fu802393907l_bool) (Q tptp.fun_pname_bool) (R tptp.fun_pname_bool)) (= (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))))
% 5.84/6.07 (assume a1284 (forall ((P tptp.fun_pn800050071e_bool) (Q tptp.fun_fu1499449723_pname) (R tptp.fun_pname_bool)) (= (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)))))
% 5.84/6.07 (assume a1285 (forall ((P tptp.fun_pn479984722e_bool) (Q tptp.fun_pname_bool) (R tptp.pname)) (= (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))))
% 5.84/6.07 (assume a1286 (forall ((P tptp.fun_st277393160e_bool) (Q tptp.fun_state_bool) (R tptp.state)) (= (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))))
% 5.84/6.07 (assume a1287 (forall ((P tptp.bool) (Q tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f568432088l_bool (tptp.hAPP_b1504838374l_bool tptp.cOMBK_1696036407e_bool P) Q) P)))
% 5.84/6.07 (assume a1288 (forall ((P tptp.fun_op2091355123m_bool) (Q tptp.fun_pname_option_com) (R tptp.pname)) (= (tptp.hAPP_p558118546m_bool (tptp.hAPP_f919496731m_bool (tptp.cOMBB_418828222_pname P) Q) R) (tptp.hAPP_o1684370239m_bool P (tptp.hAPP_p799580910on_com Q R)))))
% 5.84/6.07 (assume a1289 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_fu1996308102l_bool) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f568432088l_bool (tptp.hAPP_f85652879l_bool (tptp.cOMBB_941362220e_bool P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f568432088l_bool Q R)))))
% 5.84/6.07 (assume a1290 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_Ho320143120e_bool) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H1173243534l_bool (tptp.hAPP_f1422032445l_bool (tptp.cOMBB_877416532_state P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_H1645464494e_bool Q R)))))
% 5.84/6.07 (assume a1291 (forall ((P tptp.fun_fu24650956l_bool) (Q tptp.fun_fu1996308102l_bool) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f568432088l_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f927797370l_bool tptp.cOMBS_1039407915l_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f1395767268l_bool P R) (tptp.hAPP_f568432088l_bool Q R)))))
% 5.84/6.07 (assume a1292 (forall ((P tptp.fun_pn1419495779l_bool) (Q tptp.fun_Ho320143120e_bool) (R tptp.pname)) (= (tptp.hAPP_pname_bool (tptp.hAPP_f773602357e_bool (tptp.hAPP_f1863577801e_bool tptp.cOMBC_947783590l_bool P) Q) R) (tptp.hAPP_f568432088l_bool (tptp.hAPP_p425615669l_bool P R) Q))))
% 5.84/6.07 (assume a1293 (forall ((P tptp.fun_Ho769804319l_bool) (Q tptp.fun_pname_bool) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1763243027e_bool (tptp.hAPP_f1421439337e_bool tptp.cOMBC_1674478480l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_H444605547l_bool P R) Q))))
% 5.84/6.07 (assume a1294 (forall ((P tptp.fun_fu1107293590m_bool) (Q tptp.fun_com_bool) (R tptp.fun_com_bool)) (= (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool (tptp.hAPP_f1898485935m_bool tptp.cOMBC_788185579m_bool P) Q) R) (tptp.hAPP_f1682609283m_bool (tptp.hAPP_f1120618594m_bool P R) Q))))
% 5.84/6.07 (assume a1295 (forall ((P tptp.fun_fu1937087815e_bool) (Q tptp.hoare_363350478_state) (R tptp.fun_pname_bool)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_H444605547l_bool (tptp.hAPP_f1075942761l_bool tptp.cOMBC_1091669008e_bool P) Q) R) (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1763243027e_bool P R) Q))))
% 5.84/6.07 (assume a1296 (forall ((P tptp.fun_fu665342307e_bool) (Q tptp.pname) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f568432088l_bool (tptp.hAPP_p425615669l_bool (tptp.hAPP_f883421385l_bool tptp.cOMBC_1845395470e_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_f773602357e_bool P R) Q))))
% 5.84/6.07 (assume a1297 (forall ((P tptp.fun_pn800050071e_bool) (Q tptp.fun_Ho713471079_pname) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H2033014795e_bool (tptp.hAPP_f875047427e_bool (tptp.cOMBB_951329022_state P) Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_H1346202419_pname Q R)))))
% 5.84/6.07 (assume a1298 (forall ((P tptp.fun_fu931343505l_bool) (Q tptp.fun_fu1430349052l_bool) (R tptp.fun_pname_bool)) (= (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))))
% 5.84/6.07 (assume a1299 (forall ((P tptp.fun_fu802393907l_bool) (Q tptp.fun_pn800050071e_bool) (R tptp.pname)) (= (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)))))
% 5.84/6.07 (assume a1300 (forall ((P tptp.fun_fu1658206819l_bool) (Q tptp.fun_st1506752259e_bool) (R tptp.state)) (= (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)))))
% 5.84/6.07 (assume a1301 (forall ((P tptp.fun_fu2101097872e_bool) (Q tptp.fun_pname_bool) (R tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool (tptp.hAPP_f182188835e_bool tptp.cOMBC_1880008793e_bool P) Q) R) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool P R) Q))))
% 5.84/6.07 (assume a1302 (forall ((P tptp.fun_fu1998731480e_bool) (Q tptp.fun_st1506752259e_bool) (R tptp.state)) (= (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)))))
% 5.84/6.07 (assume a1303 (forall ((P tptp.fun_fu2104550360e_bool) (Q tptp.fun_st858662806e_bool) (R tptp.state)) (= (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)))))
% 5.84/6.07 (assume a1304 (forall ((P tptp.fun_pn1673019570on_com) (Q tptp.fun_pname_option_com) (R tptp.pname)) (= (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)))))
% 5.84/6.07 (assume a1305 (forall ((P tptp.fun_Ho424838195e_bool) (Q tptp.hoare_363350478_state) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H1645464494e_bool (tptp.hAPP_H705653759e_bool (tptp.hAPP_f114072425e_bool tptp.cOMBC_13083556e_bool P) Q) R) (tptp.hAPP_H1645464494e_bool (tptp.hAPP_H705653759e_bool P R) Q))))
% 5.84/6.07 (assume a1306 (forall ((P tptp.fun_pn983485306_state) (Q tptp.fun_pn1262351275_state) (R tptp.pname)) (= (tptp.hAPP_p1337579261_state (tptp.hAPP_f901668953_state (tptp.hAPP_f1521026326_state tptp.cOMBS_113846849_state P) Q) R) (tptp.hAPP_H1982017439_state (tptp.hAPP_p726046354_state P R) (tptp.hAPP_p1337579261_state Q R)))))
% 5.84/6.07 (assume a1307 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_fu1996308102l_bool) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1395767268l_bool (tptp.hAPP_f945781379l_bool (tptp.cOMBB_1004232970e_bool P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f568432088l_bool Q R)))))
% 5.84/6.07 (assume a1308 (forall ((P tptp.fun_fu1107293590m_bool) (Q tptp.fun_com_fun_com_bool) (R tptp.com)) (= (tptp.hAPP_c566651504m_bool (tptp.hAPP_f57617970m_bool (tptp.cOMBB_2112550369ol_com P) Q) R) (tptp.hAPP_f1120618594m_bool P (tptp.hAPP_c1396316405m_bool Q R)))))
% 5.84/6.07 (assume a1309 (forall ((P tptp.fun_pn800050071e_bool) (Q tptp.fun_fu2380401_pname) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f773602357e_bool (tptp.hAPP_f1544555711e_bool (tptp.cOMBB_655928288e_bool P) Q) R) (tptp.hAPP_p61793385e_bool P (tptp.hAPP_f1309420425_pname Q R)))))
% 5.84/6.07 (assume a1310 (forall ((P tptp.fun_pn640817967_state) (Q tptp.fun_pn12888928e_bool) (R tptp.pname)) (= (tptp.hAPP_p1337579261_state (tptp.hAPP_f19336718_state (tptp.hAPP_f720869462_state tptp.cOMBS_1110920566_state P) Q) R) (tptp.hAPP_f83715540_state (tptp.hAPP_p435788871_state P R) (tptp.hAPP_p1637813682e_bool Q R)))))
% 5.84/6.07 (assume a1311 (forall ((P tptp.fun_fu1911931399l_bool) (Q tptp.fun_fu1430349052l_bool) (R tptp.fun_fu1430349052l_bool)) (= (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))))
% 5.84/6.07 (assume a1312 (forall ((P tptp.fun_fu1219323149e_bool) (Q tptp.fun_st2116860965l_bool) (R tptp.state)) (= (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)))))
% 5.84/6.07 (assume a1313 (forall ((P tptp.fun_fu2101097872e_bool) (Q tptp.fun_pn800050071e_bool) (R tptp.pname)) (= (tptp.hAPP_p905327722e_bool (tptp.hAPP_f647826488e_bool (tptp.cOMBB_1919352417_pname P) Q) R) (tptp.hAPP_f1388330588e_bool P (tptp.hAPP_p61793385e_bool Q R)))))
% 5.84/6.07 (assume a1314 (forall ((P tptp.fun_bo79750167on_com) (Q tptp.fun_pname_bool) (R tptp.pname)) (= (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)))))
% 5.84/6.07 (assume a1315 (forall ((P tptp.fun_Ho424838195e_bool) (Q tptp.fun_co482540593_state) (R tptp.com)) (= (tptp.hAPP_c566546971e_bool (tptp.hAPP_f1813061839e_bool (tptp.cOMBB_147383684ol_com P) Q) R) (tptp.hAPP_H705653759e_bool P (tptp.hAPP_c1041435779_state Q R)))))
% 5.84/6.07 (assume a1316 (forall ((P tptp.fun_fu1996308102l_bool) (Q tptp.fun_Ho424838195e_bool) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f265222234e_bool (tptp.cOMBB_1356223341_state P) Q) R) (tptp.hAPP_f568432088l_bool P (tptp.hAPP_H705653759e_bool Q R)))))
% 5.84/6.07 (assume a1317 (forall ((P tptp.fun_Ho177530809l_bool) (Q tptp.fun_Ho320143120e_bool) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1072682137e_bool tptp.cOMBC_1415895650l_bool P) Q) R) (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool P R) Q))))
% 5.84/6.07 (assume a1318 (forall ((P tptp.fun_fu1066574909e_bool) (Q tptp.hoare_363350478_state) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool (tptp.hAPP_f1585300113l_bool tptp.cOMBC_497487404e_bool P) Q) R) (tptp.hAPP_H1645464494e_bool (tptp.hAPP_f1749453397e_bool P R) Q))))
% 5.84/6.07 (assume a1319 (forall ((P tptp.fun_Ho424838195e_bool) (Q tptp.fun_pn1262351275_state) (R tptp.pname)) (= (tptp.hAPP_p2009489185e_bool (tptp.hAPP_f1284518107e_bool (tptp.cOMBB_1755629310_pname P) Q) R) (tptp.hAPP_H705653759e_bool P (tptp.hAPP_p1337579261_state Q R)))))
% 5.84/6.07 (assume a1320 (forall ((P tptp.fun_fu802393907l_bool) (Q tptp.fun_Ho1262521325e_bool) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H444605547l_bool (tptp.hAPP_f399561463l_bool (tptp.cOMBB_1217374484_state P) Q) R) (tptp.hAPP_f434788991l_bool P (tptp.hAPP_H2033014795e_bool Q R)))))
% 5.84/6.07 (assume a1321 (forall ((P tptp.fun_pn203430818_state) (Q tptp.fun_pname_com) (R tptp.pname)) (= (tptp.hAPP_p435788871_state (tptp.hAPP_f1146170881_state (tptp.hAPP_f1311198492_state tptp.cOMBS_124505571_state P) Q) R) (tptp.hAPP_c1279058753_state (tptp.hAPP_p1042965178_state P R) (tptp.hAPP_pname_com Q R)))))
% 5.84/6.07 (assume a1322 (forall ((P tptp.fun_fu1476767085_state) (Q tptp.fun_fu1022316450e_bool) (R tptp.fun_pname_bool)) (= (tptp.hAPP_f804167819_state (tptp.hAPP_f2070959648_state (tptp.hAPP_f820078872_state tptp.cOMBS_444947014_state P) Q) R) (tptp.hAPP_f83715540_state (tptp.hAPP_f972256569_state P R) (tptp.hAPP_f887530048e_bool Q R)))))
% 5.84/6.07 (assume a1323 (forall ((P tptp.fun_fu1232732404l_bool) (Q tptp.fun_fu1430349052l_bool) (R tptp.fun_pname_bool)) (= (tptp.hAPP_f434788991l_bool (tptp.hAPP_f417341722l_bool (tptp.hAPP_f836143551l_bool tptp.cOMBC_772615479l_bool P) Q) R) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool P R) Q))))
% 5.84/6.07 (assume a1324 (forall ((P tptp.fun_fu1047394976e_bool) (Q tptp.fun_st2116860965l_bool) (R tptp.state)) (= (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)))))
% 5.84/6.07 (assume a1325 (forall ((P tptp.fun_fu2036837167l_bool) (Q tptp.fun_Ho320143120e_bool) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool (tptp.hAPP_f205303905l_bool tptp.cOMBC_1250231770l_bool P) Q) R) (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool P R) Q))))
% 5.84/6.07 (assume a1326 (forall ((P tptp.fun_Ho424838195e_bool) (Q tptp.fun_fu54631149_state) (R tptp.fun_pname_bool)) (= (tptp.hAPP_f1763243027e_bool (tptp.hAPP_f272807711e_bool (tptp.cOMBB_543245952e_bool P) Q) R) (tptp.hAPP_H705653759e_bool P (tptp.hAPP_f804167819_state Q R)))))
% 5.84/6.07 (assume a1327 (forall ((P tptp.fun_pn73701814e_bool) (Q tptp.fun_Ho320143120e_bool) (R tptp.pname)) (= (tptp.hAPP_p2009489185e_bool (tptp.hAPP_f265219918e_bool (tptp.hAPP_f1853922773e_bool tptp.cOMBC_1001821703e_bool P) Q) R) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_p678758990e_bool P R) Q))))
% 5.84/6.07 (assume a1328 (forall ((P tptp.fun_fu121404128_state) (Q tptp.fun_fu78728705ol_com) (R tptp.fun_pname_bool)) (= (tptp.hAPP_f972256569_state (tptp.hAPP_f926121585_state (tptp.hAPP_f907647536_state tptp.cOMBS_1636274867_state P) Q) R) (tptp.hAPP_c1279058753_state (tptp.hAPP_f637646508_state P R) (tptp.hAPP_f792846925ol_com Q R)))))
% 5.84/6.07 (assume a1329 (forall ((P tptp.fun_fu1759027710l_bool) (Q tptp.fun_fu1430349052l_bool) (R tptp.fun_fu1430349052l_bool)) (= (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool (tptp.hAPP_f1477350485l_bool tptp.cOMBC_694979519l_bool P) Q) R) (tptp.hAPP_f559147733l_bool (tptp.hAPP_f230953622l_bool P R) Q))))
% 5.84/6.07 (assume a1330 (forall ((P tptp.fun_Ho424838195e_bool) (Q tptp.fun_Ho901937921_state) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H705653759e_bool (tptp.hAPP_f355123231e_bool (tptp.cOMBB_496159380_state P) Q) R) (tptp.hAPP_H705653759e_bool P (tptp.hAPP_H1982017439_state Q R)))))
% 5.84/6.07 (assume a1331 (forall ((P tptp.fun_pn1681257857_state) (Q tptp.fun_pn1262351275_state) (R tptp.pname)) (= (tptp.hAPP_p726046354_state (tptp.hAPP_f1180972108_state (tptp.hAPP_f1993951364_state tptp.cOMBS_89825358_state P) Q) R) (tptp.hAPP_H230141040_state (tptp.hAPP_p760538963_state P R) (tptp.hAPP_p1337579261_state Q R)))))
% 5.84/6.07 (assume a1332 (forall ((P tptp.fun_fu1467933941l_bool) (Q tptp.fun_fu1996308102l_bool) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f568432088l_bool (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1854331281l_bool tptp.cOMBC_1522409444l_bool P) Q) R) (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f1610329741l_bool P R) Q))))
% 5.84/6.07 (assume a1333 (forall ((P tptp.fun_fu2036837167l_bool) (Q tptp.fun_pn1521100553e_bool) (R tptp.pname)) (= (tptp.hAPP_p425615669l_bool (tptp.hAPP_f1841796439l_bool (tptp.cOMBB_343228284_pname P) Q) R) (tptp.hAPP_f726209793l_bool P (tptp.hAPP_p2009489185e_bool Q R)))))
% 5.84/6.07 (assume a1334 (forall ((P tptp.fun_fu422494307_state) (Q tptp.fun_fu1232608556e_bool) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1242401993_state (tptp.hAPP_f605405862_state (tptp.hAPP_f1593397690_state tptp.cOMBS_1452472386_state P) Q) R) (tptp.hAPP_f83715540_state (tptp.hAPP_f680128379_state P R) (tptp.hAPP_f877220222e_bool Q R)))))
% 5.84/6.07 (assume a1335 (forall ((P tptp.fun_Ho424838195e_bool) (Q tptp.fun_fu700438391_state) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f440040771e_bool (tptp.cOMBB_238163658e_bool P) Q) R) (tptp.hAPP_H705653759e_bool P (tptp.hAPP_f1242401993_state Q R)))))
% 5.84/6.07 (assume a1336 (forall ((P tptp.fun_Ho1500656352e_bool) (Q tptp.fun_Ho320143120e_bool) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H705653759e_bool (tptp.hAPP_f596150574e_bool (tptp.hAPP_f961492031e_bool tptp.cOMBC_1774708299e_bool P) Q) R) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool P R) Q))))
% 5.84/6.07 (assume a1337 (forall ((P tptp.fun_bo1278783462_state) (Q tptp.fun_pname_bool) (R tptp.pname)) (= (tptp.hAPP_p760538963_state (tptp.hAPP_f1418159294_state (tptp.cOMBB_1777678681_pname P) Q) R) (tptp.hAPP_b594649092_state P (tptp.hAPP_pname_bool Q R)))))
% 5.84/6.07 (assume a1338 (forall ((P tptp.fun_fu1575689779l_bool) (Q tptp.fun_fu1996308102l_bool) (R tptp.fun_fu1996308102l_bool)) (= (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool (tptp.hAPP_f992844137l_bool tptp.cOMBC_736208532l_bool P) Q) R) (tptp.hAPP_f1287348838l_bool (tptp.hAPP_f746351743l_bool P R) Q))))
% 5.84/6.07 (assume a1339 (forall ((P tptp.fun_fu47394518_state) (Q tptp.fun_fu1203007991ol_com) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f680128379_state (tptp.hAPP_f153770241_state (tptp.hAPP_f2014973160_state tptp.cOMBS_319359663_state P) Q) R) (tptp.hAPP_c1279058753_state (tptp.hAPP_f1659249646_state P R) (tptp.hAPP_f1577230223ol_com Q R)))))
% 5.84/6.07 (assume a1340 (forall ((P tptp.fun_fu515363031_state) (Q tptp.fun_pn12888928e_bool) (R tptp.pname)) (= (tptp.hAPP_p1042965178_state (tptp.hAPP_f387017471_state (tptp.cOMBB_1212270426_pname P) Q) R) (tptp.hAPP_f960042659_state P (tptp.hAPP_p1637813682e_bool Q R)))))
% 5.84/6.07 (assume a1341 (forall ((P tptp.fun_fu1759027710l_bool) (Q tptp.fun_fu802393907l_bool) (R tptp.fun_pname_bool)) (= (tptp.hAPP_f1320879424l_bool (tptp.hAPP_f1149191722l_bool (tptp.cOMBB_631815671e_bool P) Q) R) (tptp.hAPP_f230953622l_bool P (tptp.hAPP_f434788991l_bool Q R)))))
% 5.84/6.07 (assume a1342 (forall ((P tptp.fun_fu2036837167l_bool) (Q tptp.fun_Ho424838195e_bool) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H40373975l_bool (tptp.hAPP_f565239043l_bool (tptp.cOMBB_867654038_state P) Q) R) (tptp.hAPP_f726209793l_bool P (tptp.hAPP_H705653759e_bool Q R)))))
% 5.84/6.07 (assume a1343 (forall ((P tptp.fun_fu531943146e_bool) (Q tptp.fun_Ho320143120e_bool) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool (tptp.hAPP_f1873524693e_bool tptp.cOMBC_1626046675e_bool P) Q) R) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_f1043393922e_bool P R) Q))))
% 5.84/6.07 (assume a1344 (forall ((P tptp.fun_Ho1500656352e_bool) (Q tptp.fun_pn1262351275_state) (R tptp.pname)) (= (tptp.hAPP_p678758990e_bool (tptp.hAPP_f43306888e_bool (tptp.cOMBB_1717464465_pname P) Q) R) (tptp.hAPP_H122293036e_bool P (tptp.hAPP_p1337579261_state Q R)))))
% 5.84/6.07 (assume a1345 (forall ((P tptp.fun_fu515363031_state) (Q tptp.fun_fu1022316450e_bool) (R tptp.fun_pname_bool)) (= (tptp.hAPP_f637646508_state (tptp.hAPP_f1215319405_state (tptp.cOMBB_151548708e_bool P) Q) R) (tptp.hAPP_f960042659_state P (tptp.hAPP_f887530048e_bool Q R)))))
% 5.84/6.07 (assume a1346 (forall ((P tptp.fun_fu1997055262l_bool) (Q tptp.fun_fu1996308102l_bool) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f726209793l_bool (tptp.hAPP_f434845752l_bool (tptp.hAPP_f1793815761l_bool tptp.cOMBC_2079418125l_bool P) Q) R) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1941218614l_bool P R) Q))))
% 5.84/6.07 (assume a1347 (forall ((P tptp.fun_fu515363031_state) (Q tptp.fun_fu1232608556e_bool) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1659249646_state (tptp.hAPP_f1323754599_state (tptp.cOMBB_188465958e_bool P) Q) R) (tptp.hAPP_f960042659_state P (tptp.hAPP_f877220222e_bool Q R)))))
% 5.84/6.07 (assume a1348 (forall ((P tptp.fun_fu531943146e_bool) (Q tptp.fun_Ho424838195e_bool) (R tptp.hoare_363350478_state)) (= (tptp.hAPP_H122293036e_bool (tptp.hAPP_f306007574e_bool (tptp.cOMBB_1253415543_state P) Q) R) (tptp.hAPP_f1043393922e_bool P (tptp.hAPP_H705653759e_bool Q R)))))
% 5.84/6.07 (assume a1349 (forall ((P tptp.fun_fu1392972380l_bool) (Q tptp.fun_fu1996308102l_bool) (R tptp.fun_fu1996308102l_bool)) (= (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool (tptp.hAPP_f103280059l_bool tptp.cOMBC_646647229l_bool P) Q) R) (tptp.hAPP_f85652879l_bool (tptp.hAPP_f1175211816l_bool P R) Q))))
% 5.84/6.07 (assume a1350 (forall ((P tptp.fun_fu1392972380l_bool) (Q tptp.fun_fu2036837167l_bool) (R tptp.fun_Ho320143120e_bool)) (= (tptp.hAPP_f1941218614l_bool (tptp.hAPP_f471491948l_bool (tptp.cOMBB_460931425e_bool P) Q) R) (tptp.hAPP_f1175211816l_bool P (tptp.hAPP_f726209793l_bool Q R)))))
% 5.84/6.07 (assume a1351 (tptp.hBOOL tptp.hoare_265376576gleton))
% 5.84/6.07 (assume a1352 (tptp.hBOOL tptp.wT_bodies))
% 5.84/6.07 (assume a1353 (tptp.hBOOL (tptp.hAPP_f568432088l_bool tptp.finite280062779_state tptp.fa)))
% 5.84/6.07 (assume a1354 (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_H40373975l_bool tptp.member1253905979_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.fa))))
% 5.84/6.07 (assume a1355 (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hAPP_f726209793l_bool tptp.ord_le704992346e_bool tptp.fa) (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) (tptp.hAPP_f96342628me_com (tptp.cOMBB_923936821_pname tptp.the_com) tptp.body))) (tptp.dom_pname_com tptp.body)))))
% 5.84/6.07 (assume a1356 (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.hAPP_com_option_com tptp.some_com tptp.y)))
% 5.84/6.07 (assume a1357 (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.fa)))
% 5.84/6.07 (assume a1358 (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))))
% 5.84/6.07 (assume a1359 true)
% 5.84/6.07 (step t1 (cl (=> (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))) :rule implies_neg1)
% 5.84/6.07 (anchor :step t2)
% 5.84/6.07 (assume t2.a0 (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)))))
% 5.84/6.07 (step t2.t1 (cl (or (not (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))))) :rule forall_inst :args ((:= G_2 (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (:= G_3 tptp.bot_bo39439654e_bool) (:= Ts (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))
% 5.84/6.07 (step t2.t2 (cl (not (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) :rule or :premises (t2.t1))
% 5.84/6.07 (step t2.t3 (cl (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) :rule resolution :premises (t2.t2 t2.a0))
% 5.84/6.07 (step t2 (cl (not (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) :rule subproof :discharge (t2.a0))
% 5.84/6.07 (step t3 (cl (=> (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) :rule resolution :premises (t1 t2))
% 5.84/6.07 (step t4 (cl (=> (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) (not (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))))) :rule implies_neg2)
% 5.84/6.07 (step t5 (cl (=> (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) (=> (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))))) :rule resolution :premises (t3 t4))
% 5.84/6.07 (step t6 (cl (=> (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))))) :rule contraction :premises (t5))
% 5.84/6.07 (step t7 (cl (not (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) :rule implies :premises (t6))
% 5.84/6.07 (step t8 (cl (not (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) :rule or_pos)
% 5.84/6.07 (step t9 (cl (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))))) :rule reordering :premises (t8))
% 5.84/6.07 (step t10 (cl (=> (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool)))) :rule implies_neg1)
% 5.84/6.07 (anchor :step t11)
% 5.84/6.07 (assume t11.a0 (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool))))
% 5.84/6.07 (step t11.t1 (cl (or (not (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool)))) :rule forall_inst :args ((:= G_2 (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body)))))
% 5.84/6.07 (step t11.t2 (cl (not (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) :rule or :premises (t11.t1))
% 5.84/6.07 (step t11.t3 (cl (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) :rule resolution :premises (t11.t2 t11.a0))
% 5.84/6.07 (step t11 (cl (not (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) :rule subproof :discharge (t11.a0))
% 5.84/6.07 (step t12 (cl (=> (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) :rule resolution :premises (t10 t11))
% 5.84/6.07 (step t13 (cl (=> (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool)))) :rule implies_neg2)
% 5.84/6.07 (step t14 (cl (=> (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (=> (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool)))) :rule resolution :premises (t12 t13))
% 5.84/6.07 (step t15 (cl (=> (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool)))) :rule contraction :premises (t14))
% 5.84/6.07 (step t16 (cl (not (forall ((G_2 tptp.fun_Ho320143120e_bool)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) tptp.bot_bo39439654e_bool)))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) :rule implies :premises (t15))
% 5.84/6.07 (step t17 (cl (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) :rule resolution :premises (t16 a0))
% 5.84/6.07 (step t18 (cl (not (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) :rule or_pos)
% 5.84/6.07 (step t19 (cl (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))) (not (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))))) :rule reordering :premises (t18))
% 5.84/6.07 (step t20 (cl (not (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.hAPP_com_option_com 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.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) :rule or_pos)
% 5.84/6.07 (step t21 (cl (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.hAPP_com_option_com 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.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))))) :rule reordering :premises (t20))
% 5.84/6.07 (step t22 (cl (=> (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com 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.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) :rule implies_neg1)
% 5.84/6.07 (anchor :step t23)
% 5.84/6.07 (assume t23.a0 (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))))
% 5.84/6.07 (step t23.t1 (cl (or (not (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com 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.hAPP_com_option_com 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)))
% 5.84/6.07 (step t23.t2 (cl (not (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com 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.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) :rule or :premises (t23.t1))
% 5.84/6.07 (step t23.t3 (cl (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) :rule resolution :premises (t23.t2 t23.a0))
% 5.84/6.07 (step t23 (cl (not (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com 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.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) :rule subproof :discharge (t23.a0))
% 5.84/6.07 (step t24 (cl (=> (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com 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.hAPP_com_option_com 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.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) :rule resolution :premises (t22 t23))
% 5.84/6.07 (step t25 (cl (=> (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com 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.hAPP_com_option_com 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.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))))) :rule implies_neg2)
% 5.84/6.07 (step t26 (cl (=> (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com 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.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) (=> (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com 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.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))))) :rule resolution :premises (t24 t25))
% 5.84/6.07 (step t27 (cl (=> (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com 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.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))))) :rule contraction :premises (t26))
% 5.84/6.07 (step t28 (cl (not (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com 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.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) :rule implies :premises (t27))
% 5.84/6.07 (step t29 (cl (not (= (forall ((Pn tptp.pname) (B_4 tptp.com)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))))) (not (forall ((Pn tptp.pname) (B_4 tptp.com)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))))) (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))))) :rule equiv_pos2)
% 5.84/6.07 (step t30 (cl (= (forall ((Pn tptp.pname) (B_4 tptp.com)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (tptp.hBOOL tptp.wT_bodies)) (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))))) :rule all_simplify)
% 5.84/6.07 (step t31 (cl (= (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (tptp.hBOOL tptp.wT_bodies)) (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))) (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))))) :rule all_simplify)
% 5.84/6.07 (step t32 (cl (= (forall ((Pn tptp.pname) (B_4 tptp.com)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4)) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))))) :rule trans :premises (t30 t31))
% 5.84/6.07 (step t33 (cl (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4)))))) :rule resolution :premises (t29 t32 a297))
% 5.84/6.07 (step t34 (cl (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) :rule or :premises (t33))
% 5.84/6.07 (step t35 (cl (forall ((Pn tptp.pname) (B_4 tptp.com)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.hAPP_com_option_com tptp.some_com B_4))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt B_4))))) :rule resolution :premises (t34 a1352))
% 5.84/6.07 (step t36 (cl (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.hAPP_com_option_com tptp.some_com tptp.y))) (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y)))) :rule resolution :premises (t28 t35))
% 5.84/6.07 (step t37 (cl (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) :rule resolution :premises (t21 a1356 t36))
% 5.84/6.07 (step t38 (cl (=> (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool)))))) :rule implies_neg1)
% 5.84/6.07 (anchor :step t39)
% 5.84/6.07 (assume t39.a0 (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))))
% 5.84/6.07 (step t39.t1 (cl (or (not (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool)))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))))) :rule forall_inst :args ((:= C tptp.y)))
% 5.84/6.07 (step t39.t2 (cl (not (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool)))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) :rule or :premises (t39.t1))
% 5.84/6.07 (step t39.t3 (cl (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) :rule resolution :premises (t39.t2 t39.a0))
% 5.84/6.07 (step t39 (cl (not (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool)))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) :rule subproof :discharge (t39.a0))
% 5.84/6.07 (step t40 (cl (=> (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) :rule resolution :premises (t38 t39))
% 5.84/6.07 (step t41 (cl (=> (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) (not (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))))) :rule implies_neg2)
% 5.84/6.07 (step t42 (cl (=> (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) (=> (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))))) :rule resolution :premises (t40 t41))
% 5.84/6.07 (step t43 (cl (=> (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))))) :rule contraction :premises (t42))
% 5.84/6.07 (step t44 (cl (not (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool)))))) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) :rule implies :premises (t43))
% 5.84/6.07 (step t45 (cl (not (= (forall ((C tptp.com)) (=> (tptp.hBOOL tptp.hoare_265376576gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))))) (or (not (tptp.hBOOL tptp.hoare_265376576gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool)))))))) (not (forall ((C tptp.com)) (=> (tptp.hBOOL tptp.hoare_265376576gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool)))))))) (or (not (tptp.hBOOL tptp.hoare_265376576gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))))) :rule equiv_pos2)
% 5.84/6.07 (step t46 (cl (= (forall ((C tptp.com)) (=> (tptp.hBOOL tptp.hoare_265376576gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))))) (forall ((C tptp.com)) (or (not (tptp.hBOOL tptp.hoare_265376576gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))))) :rule all_simplify)
% 5.84/6.07 (step t47 (cl (= (forall ((C tptp.com)) (or (not (tptp.hBOOL tptp.hoare_265376576gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))) (or (not (tptp.hBOOL tptp.hoare_265376576gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool)))))))) :rule all_simplify)
% 5.84/6.07 (step t48 (cl (= (forall ((C tptp.com)) (=> (tptp.hBOOL tptp.hoare_265376576gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))))) (or (not (tptp.hBOOL tptp.hoare_265376576gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool)))))))) :rule trans :premises (t46 t47))
% 5.84/6.07 (step t49 (cl (or (not (tptp.hBOOL tptp.hoare_265376576gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool))))))) :rule resolution :premises (t45 t48 a66))
% 5.84/6.07 (step t50 (cl (not (tptp.hBOOL tptp.hoare_265376576gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool)))))) :rule or :premises (t49))
% 5.84/6.07 (step t51 (cl (forall ((C tptp.com)) (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt C))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT C)) tptp.bot_bo39439654e_bool)))))) :rule resolution :premises (t50 a1351 a1352))
% 5.84/6.07 (step t52 (cl (or (not (tptp.hBOOL (tptp.hAPP_com_bool tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool))))) :rule resolution :premises (t44 t51))
% 5.84/6.07 (step t53 (cl (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) :rule resolution :premises (t19 t37 t52))
% 5.84/6.07 (step t54 (cl (not (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state tptp.bot_bo39439654e_bool) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) tptp.bot_bo39439654e_bool))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state (tptp.hAPP_f1763243027e_bool (tptp.image_1918575693_state (tptp.hAPP_f481860441_state (tptp.cOMBB_424558970_pname tptp.hoare_Mirabelle_MGT) tptp.body_1)) (tptp.dom_pname_com tptp.body))) (tptp.hAPP_f1749453397e_bool (tptp.hAPP_H122293036e_bool tptp.insert1330351828_state (tptp.hAPP_c1041435779_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo39439654e_bool)))))) :rule resolution :premises (t9 a1358 t17 t53))
% 5.84/6.07 (step t55 (cl (not (= (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))) (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)))))) (not (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)))))) (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))) :rule equiv_pos2)
% 5.84/6.07 (step t56 (cl (= (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3)) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))) (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts)))))) :rule all_simplify)
% 5.88/6.09 (step t57 (cl (forall ((G_2 tptp.fun_Ho320143120e_bool) (G_3 tptp.fun_Ho320143120e_bool) (Ts tptp.fun_Ho320143120e_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_3) Ts))) (not (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) G_3))) (tptp.hBOOL (tptp.hAPP_f568432088l_bool (tptp.hoare_95103338_state G_2) Ts))))) :rule resolution :premises (t55 t56 a4))
% 5.88/6.09 (step t58 (cl) :rule resolution :premises (t7 t54 t57))
% 5.88/6.09
% 5.88/6.09 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.zq0G2SS8Ha/cvc5---1.0.5_16845.smt2
% 5.88/6.09 % cvc5---1.0.5 exiting
% 5.88/6.09 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------