%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW474+1 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n013.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 0.46s 0.90s
% Output   : Proof 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16  % Problem    : SWW474+1 : TPTP v8.2.0. Released v5.3.0.
% 0.10/0.17  % Command    : do_cvc5 %s %d
% 0.17/0.38  % Computer : n013.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Sun May 26 06:59:39 EDT 2024
% 0.17/0.38  % CPUTime    : 
% 0.44/0.62  %----Proving TF0_NAR, FOF, or CNF
% 0.46/0.90  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.46/0.90  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.NYFjFlNY9K/cvc5---1.0.5_6032.smt2
% 0.46/0.90  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.NYFjFlNY9K/cvc5---1.0.5_6032.smt2
% 0.46/0.90  (assume a0 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun_pname_bool (tptp.cOMBB_647938656_pname B_1_1 B_2_1)))))
% 0.46/0.90  (assume a1 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.cOMBB_307249310e_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a2 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_bool B_1_1) (tptp.is_fun_pname_bool (tptp.cOMBK_bool_pname B_1_1)))))
% 0.46/0.90  (assume a3 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_bool B_1_1) (tptp.is_fun1661590463l_bool (tptp.cOMBK_1857069011e_bool B_1_1)))))
% 0.46/0.90  (assume a4 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun_pname_bool (tptp.cOMBS_568398431l_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a5 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.cOMBS_350070575l_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a6 (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.wt B_1_1))))
% 0.46/0.90  (assume a7 (tptp.is_bool tptp.wT_bodies))
% 0.46/0.90  (assume a8 (tptp.is_fun1661590463l_bool tptp.finite_finite_pname))
% 0.46/0.90  (assume a9 (tptp.is_pname (tptp.undefined_pname tptp.pname)))
% 0.46/0.90  (assume a10 (tptp.is_fun_pname_bool (tptp.undefi17486888e_bool (tptp.fun tptp.pname tptp.bool))))
% 0.46/0.90  (assume a11 (tptp.is_fun1661590463l_bool (tptp.undefi64961550l_bool (tptp.fun (tptp.fun tptp.pname tptp.bool) tptp.bool))))
% 0.46/0.90  (assume a12 (tptp.is_bool tptp.hoare_165779456gleton))
% 0.46/0.90  (assume a13 (forall ((B_1_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.dom_pname_com B_1_1))))
% 0.46/0.90  (assume a14 (forall ((B_1_1 $$unsorted)) (tptp.is_fun1661590463l_bool (tptp.dom_fu2081503504ol_com B_1_1))))
% 0.46/0.90  (assume a15 (tptp.is_fun_pname_bool tptp.bot_bo844097828e_bool))
% 0.46/0.90  (assume a16 (tptp.is_fun1661590463l_bool tptp.bot_bo1649642514l_bool))
% 0.46/0.90  (assume a17 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_1_1) (tptp.is_fun_pname_bool (tptp.collect_pname B_1_1)))))
% 0.46/0.90  (assume a18 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_1_1) (tptp.is_fun1661590463l_bool (tptp.collec1974731493e_bool B_1_1)))))
% 0.46/0.90  (assume a19 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun_pname_bool (tptp.image_pname_pname B_1_1 B_2_1)))))
% 0.46/0.90  (assume a20 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.image_47868345e_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a21 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.image_54689091_pname B_1_1 B_2_1))))
% 0.46/0.90  (assume a22 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1661590463l_bool (tptp.image_2131964411e_bool B_1_1 B_2_1))))
% 0.46/0.90  (assume a23 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_fun_pname_bool (tptp.image_1283814551_pname B_1_1 B_2_1)))))
% 0.46/0.90  (assume a24 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.image_187965177_pname B_1_1 B_2_1))))
% 0.46/0.90  (assume a25 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.image_1705983821_pname B_1_1 B_2_1))))
% 0.46/0.90  (assume a26 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.image_1619336331_pname B_1_1 B_2_1))))
% 0.46/0.90  (assume a27 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_pname B_1_1) (tptp.is_fun_pname_bool B_2_1)) (tptp.is_fun_pname_bool (tptp.insert_pname B_1_1 B_2_1)))))
% 0.46/0.90  (assume a28 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool B_1_1) (tptp.is_fun1661590463l_bool B_2_1)) (tptp.is_fun1661590463l_bool (tptp.insert1325755072e_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a29 (tptp.is_bool tptp.fFalse))
% 0.46/0.90  (assume a30 (tptp.is_bool tptp.fTrue))
% 0.46/0.90  (assume a31 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_pname B_2_1) (tptp.is_pname (tptp.hAPP_pname_pname B_1_1 B_2_1)))))
% 0.46/0.90  (assume a32 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool B_1_1) (tptp.is_pname B_2_1)) (tptp.is_bool (tptp.hAPP_pname_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a33 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_pname B_2_1) (tptp.is_fun_pname_bool (tptp.hAPP_p61793385e_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a34 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_pname B_2_1) (tptp.is_fun1661590463l_bool (tptp.hAPP_p338031245l_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a35 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_bool (tptp.hAPP_bool_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a36 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_pname (tptp.hAPP_H1621176307_pname B_1_1 B_2_1))))
% 0.46/0.90  (assume a37 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_H78829294e_bool B_1_1 B_2_1))))
% 0.46/0.90  (assume a38 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun_pname_bool (tptp.hAPP_H356885323e_bool B_1_1 B_2_1))))
% 0.46/0.90  (assume a39 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_pname (tptp.hAPP_f1297739591_pname B_1_1 B_2_1)))))
% 0.46/0.90  (assume a40 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun1661590463l_bool B_1_1) (tptp.is_fun_pname_bool B_2_1)) (tptp.is_bool (tptp.hAPP_f1664156314l_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a41 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun_pname_bool (tptp.hAPP_f759274231e_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a42 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun_pname_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.hAPP_f434788991l_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a43 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_pname (tptp.hAPP_f560369737_pname B_1_1 B_2_1))))
% 0.46/0.90  (assume a44 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f971112728l_bool B_1_1 B_2_1))))
% 0.46/0.90  (assume a45 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_bool (tptp.hAPP_f1935102916l_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a46 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool B_2_1) (tptp.is_fun1661590463l_bool (tptp.hAPP_f559147733l_bool B_1_1 B_2_1)))))
% 0.46/0.90  (assume a47 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f166538662l_bool B_1_1 B_2_1))))
% 0.46/0.90  (assume a48 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f389811538l_bool B_1_1 B_2_1))))
% 0.46/0.90  (assume a49 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f468958928l_bool B_1_1 B_2_1))))
% 0.46/0.90  (assume a50 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f595608956l_bool B_1_1 B_2_1))))
% 0.46/0.90  (assume a51 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1022807134l_bool B_1_1 B_2_1))))
% 0.46/0.90  (assume a52 (tptp.is_pname tptp.pn))
% 0.46/0.90  (assume a53 (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool))))
% 0.46/0.90  (assume a54 (forall ((Ts $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool Ts) G)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts)))))
% 0.46/0.90  (assume a55 (forall ((Ts $$unsorted) (G $$unsorted) (Ts_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts_1)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool Ts) Ts_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))))
% 0.46/0.90  (assume a56 (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool G_1) G)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))))
% 0.46/0.90  (assume a57 (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))))
% 0.46/0.90  (assume a58 (forall ((Ts $$unsorted) (G $$unsorted) (T $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) (tptp.insert1415133716_state T tptp.bot_bo620288102e_bool))) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) (tptp.insert1415133716_state T Ts)))))))
% 0.46/0.90  (assume a59 (forall ((G $$unsorted) (T $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) (tptp.insert1415133716_state T Ts))) (and (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) (tptp.insert1415133716_state T tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))))
% 0.46/0.90  (assume a60 (forall ((Pn_1 $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_pname_com tptp.body_1 Pn_1)) G)) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_option_com_com tptp.the_com (tptp.hAPP_p799580910on_com tptp.body Pn_1))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_pname_com tptp.body_1 Pn_1)) tptp.bot_bo620288102e_bool))))))
% 0.46/0.90  (assume a61 (forall ((A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.ord_le313189616e_bool) A)))))))
% 0.46/0.90  (assume a62 (forall ((A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state A)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.collec1823980261e_bool (tptp.hAPP_f72706945l_bool (tptp.cOMBC_449066458l_bool tptp.ord_le1285840794e_bool) A)))))))
% 0.46/0.90  (assume a63 (forall ((A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool A)) (tptp.hBOOL (tptp.hAPP_f595608956l_bool tptp.finite1491191519l_bool (tptp.collec792590109l_bool (tptp.hAPP_f1759205631l_bool (tptp.cOMBC_336095980l_bool tptp.ord_le1375671464l_bool) A)))))))
% 0.46/0.90  (assume a64 (forall ((A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool A)) (tptp.hBOOL (tptp.hAPP_f1022807134l_bool tptp.finite34021339l_bool (tptp.collec256567069l_bool (tptp.hAPP_f667366769l_bool (tptp.cOMBC_747715418l_bool tptp.ord_le889598034l_bool) A)))))))
% 0.46/0.90  (assume a65 (forall ((A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool A)) (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.collec488126193l_bool (tptp.hAPP_f585161855l_bool (tptp.cOMBC_1691491604l_bool tptp.ord_le287025148l_bool) A)))))))
% 0.46/0.90  (assume a66 (forall ((A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool tptp.ord_le675606854l_bool) A)))))))
% 0.46/0.90  (assume a67 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.image_2003357581_state H Fa))))))
% 0.46/0.90  (assume a68 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1705983821_pname H Fa))))))
% 0.46/0.90  (assume a69 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1619336331_pname H Fa))))))
% 0.46/0.90  (assume a70 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_187965177_pname H Fa))))))
% 0.46/0.90  (assume a71 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1283814551_pname H Fa))))))
% 0.46/0.90  (assume a72 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool Fa)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.image_677922117_state H Fa))))))
% 0.46/0.90  (assume a73 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool Fa)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.image_892968839_state H Fa))))))
% 0.46/0.90  (assume a74 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.image_18964633_state H Fa))))))
% 0.46/0.90  (assume a75 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.image_516545147_state H Fa))))))
% 0.46/0.90  (assume a76 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.image_1642285373l_bool H Fa))))))
% 0.46/0.90  (assume a77 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.image_288317893l_bool H Fa))))))
% 0.46/0.90  (assume a78 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.image_70449425e_bool H Fa))))))
% 0.46/0.90  (assume a79 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_47868345e_bool H Fa))))))
% 0.46/0.90  (assume a80 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state Fa)) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.image_1210605179l_bool H Fa))))))
% 0.46/0.90  (assume a81 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state Fa)) (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.image_1761575943l_bool H Fa))))))
% 0.46/0.90  (assume a82 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state Fa)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.image_1828608335e_bool H Fa))))))
% 0.46/0.90  (assume a83 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state Fa)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_2131964411e_bool H Fa))))))
% 0.46/0.90  (assume a84 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_54689091_pname H Fa))))))
% 0.46/0.90  (assume a85 (forall ((H $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_pname_pname H Fa))))))
% 0.46/0.90  (assume a86 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool tptp.bot_bo620288102e_bool) A))))
% 0.46/0.90  (assume a87 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool tptp.bot_bo1649642514l_bool) A))))
% 0.46/0.90  (assume a88 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool tptp.bot_bo535777328l_bool) A))))
% 0.46/0.90  (assume a89 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool tptp.bot_bo844097828e_bool) A))))
% 0.46/0.90  (assume a90 (forall ((A_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state A)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.insert1415133716_state A_2 A))))))
% 0.46/0.90  (assume a91 (forall ((A_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.insert_pname A_2 A))))))
% 0.46/0.90  (assume a92 (forall ((A_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool A)) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.insert1117693814l_bool A_2 A))))))
% 0.46/0.90  (assume a93 (forall ((A_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool A)) (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.insert203537868l_bool A_2 A))))))
% 0.46/0.90  (assume a94 (forall ((A_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool A)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.insert1556680138e_bool A_2 A))))))
% 0.46/0.90  (assume a95 (forall ((A_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.insert1325755072e_bool A_2 A))))))
% 0.46/0.90  (assume a96 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.bot_bo844097828e_bool)))
% 0.46/0.90  (assume a97 (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state tptp.bot_bo620288102e_bool)))
% 0.46/0.91  (assume a98 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool tptp.bot_bo1537088220l_bool)))
% 0.46/0.91  (assume a99 (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool tptp.bot_bo1761158942l_bool)))
% 0.46/0.91  (assume a100 (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool tptp.bot_bo535777328l_bool)))
% 0.46/0.91  (assume a101 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool tptp.bot_bo1649642514l_bool)))
% 0.46/0.91  (assume a102 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname P_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname Q_1)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj P_1) Q_1)))))))
% 0.46/0.91  (assume a103 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.collec307967673_state P_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.collec307967673_state Q_1)))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fconj P_1) Q_1)))))))
% 0.46/0.91  (assume a104 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool P_1))) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool Q_1)))) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool (tptp.cOMBS_811933079l_bool (tptp.cOMBB_689948150l_bool tptp.fconj P_1) Q_1)))))))
% 0.46/0.91  (assume a105 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.collec488126193l_bool P_1))) (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.collec488126193l_bool Q_1)))) (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.collec488126193l_bool (tptp.cOMBS_1358309691l_bool (tptp.cOMBB_404111180l_bool tptp.fconj P_1) Q_1)))))))
% 0.46/0.91  (assume a106 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.collec1823980261e_bool P_1))) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.collec1823980261e_bool Q_1)))) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fconj P_1) Q_1)))))))
% 0.46/0.91  (assume a107 (forall ((Q_1 $$unsorted) (P_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool P_1))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool Q_1)))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj P_1) Q_1)))))))
% 0.46/0.91  (assume a108 (forall ((C_1 $$unsorted) (A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (and (=> (= A tptp.bot_bo844097828e_bool) (= (tptp.image_2003357581_state (tptp.cOMBK_367030522_pname C_1) A) tptp.bot_bo620288102e_bool)) (=> (not (= A tptp.bot_bo844097828e_bool)) (= (tptp.image_2003357581_state (tptp.cOMBK_367030522_pname C_1) A) (tptp.insert1415133716_state C_1 tptp.bot_bo620288102e_bool)))))))
% 0.46/0.91  (assume a109 (forall ((C_1 $$unsorted) (A $$unsorted)) (and (=> (= A tptp.bot_bo620288102e_bool) (= (tptp.image_54689091_pname (tptp.cOMBK_168215364_state C_1) A) tptp.bot_bo844097828e_bool)) (=> (not (= A tptp.bot_bo620288102e_bool)) (= (tptp.image_54689091_pname (tptp.cOMBK_168215364_state C_1) A) (tptp.insert_pname C_1 tptp.bot_bo844097828e_bool))))))
% 0.46/0.91  (assume a110 (forall ((C_1 $$unsorted) (A $$unsorted)) (and (=> (= A tptp.bot_bo620288102e_bool) (= (tptp.image_2131964411e_bool (tptp.cOMBK_2035509764_state C_1) A) tptp.bot_bo1649642514l_bool)) (=> (not (= A tptp.bot_bo620288102e_bool)) (= (tptp.image_2131964411e_bool (tptp.cOMBK_2035509764_state C_1) A) (tptp.insert1325755072e_bool C_1 tptp.bot_bo1649642514l_bool))))))
% 0.46/0.91  (assume a111 (forall ((C_1 $$unsorted) (A $$unsorted)) (and (=> (= A tptp.bot_bo620288102e_bool) (= (tptp.image_1828608335e_bool (tptp.cOMBK_1039769424_state C_1) A) tptp.bot_bo535777328l_bool)) (=> (not (= A tptp.bot_bo620288102e_bool)) (= (tptp.image_1828608335e_bool (tptp.cOMBK_1039769424_state C_1) A) (tptp.insert1556680138e_bool C_1 tptp.bot_bo535777328l_bool))))))
% 0.46/0.91  (assume a112 (forall ((C_1 $$unsorted) (A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (and (=> (= A tptp.bot_bo844097828e_bool) (= (tptp.image_47868345e_bool (tptp.cOMBK_37193422_pname C_1) A) tptp.bot_bo1649642514l_bool)) (=> (not (= A tptp.bot_bo844097828e_bool)) (= (tptp.image_47868345e_bool (tptp.cOMBK_37193422_pname C_1) A) (tptp.insert1325755072e_bool C_1 tptp.bot_bo1649642514l_bool)))))))
% 0.46/0.91  (assume a113 (forall ((C_1 $$unsorted) (A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (and (=> (= A tptp.bot_bo844097828e_bool) (= (tptp.image_70449425e_bool (tptp.cOMBK_1706929794_pname C_1) A) tptp.bot_bo535777328l_bool)) (=> (not (= A tptp.bot_bo844097828e_bool)) (= (tptp.image_70449425e_bool (tptp.cOMBK_1706929794_pname C_1) A) (tptp.insert1556680138e_bool C_1 tptp.bot_bo535777328l_bool)))))))
% 0.46/0.91  (assume a114 (forall ((C_1 $$unsorted) (A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (and (=> (= A tptp.bot_bo844097828e_bool) (= (tptp.image_pname_pname (tptp.cOMBK_pname_pname C_1) A) tptp.bot_bo844097828e_bool)) (=> (not (= A tptp.bot_bo844097828e_bool)) (= (tptp.image_pname_pname (tptp.cOMBK_pname_pname C_1) A) (tptp.insert_pname C_1 tptp.bot_bo844097828e_bool)))))))
% 0.46/0.91  (assume a115 (forall ((C_1 $$unsorted) (A $$unsorted)) (=> (tptp.is_fun1661590463l_bool A) (and (=> (= A tptp.bot_bo1649642514l_bool) (= (tptp.image_516545147_state (tptp.cOMBK_1503445380e_bool C_1) A) tptp.bot_bo620288102e_bool)) (=> (not (= A tptp.bot_bo1649642514l_bool)) (= (tptp.image_516545147_state (tptp.cOMBK_1503445380e_bool C_1) A) (tptp.insert1415133716_state C_1 tptp.bot_bo620288102e_bool)))))))
% 0.46/0.91  (assume a116 (forall ((C_1 $$unsorted) (A $$unsorted)) (and (=> (= A tptp.bot_bo535777328l_bool) (= (tptp.image_18964633_state (tptp.cOMBK_701929478e_bool C_1) A) tptp.bot_bo620288102e_bool)) (=> (not (= A tptp.bot_bo535777328l_bool)) (= (tptp.image_18964633_state (tptp.cOMBK_701929478e_bool C_1) A) (tptp.insert1415133716_state C_1 tptp.bot_bo620288102e_bool))))))
% 0.46/0.91  (assume a117 (forall ((C_1 $$unsorted) (A $$unsorted)) (=> (tptp.is_fun1661590463l_bool A) (and (=> (= A tptp.bot_bo1649642514l_bool) (= (tptp.image_1283814551_pname (tptp.cOMBK_948730864e_bool C_1) A) tptp.bot_bo844097828e_bool)) (=> (not (= A tptp.bot_bo1649642514l_bool)) (= (tptp.image_1283814551_pname (tptp.cOMBK_948730864e_bool C_1) A) (tptp.insert_pname C_1 tptp.bot_bo844097828e_bool)))))))
% 0.46/0.91  (assume a118 (forall ((C_1 $$unsorted) (A $$unsorted)) (and (=> (= A tptp.bot_bo535777328l_bool) (= (tptp.image_187965177_pname (tptp.cOMBK_1589414042e_bool C_1) A) tptp.bot_bo844097828e_bool)) (=> (not (= A tptp.bot_bo535777328l_bool)) (= (tptp.image_187965177_pname (tptp.cOMBK_1589414042e_bool C_1) A) (tptp.insert_pname C_1 tptp.bot_bo844097828e_bool))))))
% 0.46/0.91  (assume a119 (forall ((C_1 $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (= (tptp.image_2003357581_state (tptp.cOMBK_367030522_pname C_1) A) (tptp.insert1415133716_state C_1 tptp.bot_bo620288102e_bool)))))
% 0.46/0.91  (assume a120 (forall ((C_1 $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) A)) (= (tptp.image_54689091_pname (tptp.cOMBK_168215364_state C_1) A) (tptp.insert_pname C_1 tptp.bot_bo844097828e_bool)))))
% 0.46/0.91  (assume a121 (forall ((C_1 $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) A)) (= (tptp.image_2131964411e_bool (tptp.cOMBK_2035509764_state C_1) A) (tptp.insert1325755072e_bool C_1 tptp.bot_bo1649642514l_bool)))))
% 0.46/0.91  (assume a122 (forall ((C_1 $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) A)) (= (tptp.image_1828608335e_bool (tptp.cOMBK_1039769424_state C_1) A) (tptp.insert1556680138e_bool C_1 tptp.bot_bo535777328l_bool)))))
% 0.46/0.91  (assume a123 (forall ((C_1 $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (= (tptp.image_47868345e_bool (tptp.cOMBK_37193422_pname C_1) A) (tptp.insert1325755072e_bool C_1 tptp.bot_bo1649642514l_bool)))))
% 0.46/0.91  (assume a124 (forall ((C_1 $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (= (tptp.image_70449425e_bool (tptp.cOMBK_1706929794_pname C_1) A) (tptp.insert1556680138e_bool C_1 tptp.bot_bo535777328l_bool)))))
% 0.46/0.91  (assume a125 (forall ((C_1 $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (= (tptp.image_pname_pname (tptp.cOMBK_pname_pname C_1) A) (tptp.insert_pname C_1 tptp.bot_bo844097828e_bool)))))
% 0.46/0.91  (assume a126 (forall ((C_1 $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) A)) (= (tptp.image_516545147_state (tptp.cOMBK_1503445380e_bool C_1) A) (tptp.insert1415133716_state C_1 tptp.bot_bo620288102e_bool)))))
% 0.46/0.91  (assume a127 (forall ((C_1 $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool X_2) A)) (= (tptp.image_18964633_state (tptp.cOMBK_701929478e_bool C_1) A) (tptp.insert1415133716_state C_1 tptp.bot_bo620288102e_bool)))))
% 0.46/0.91  (assume a128 (forall ((C_1 $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) A)) (= (tptp.image_1283814551_pname (tptp.cOMBK_948730864e_bool C_1) A) (tptp.insert_pname C_1 tptp.bot_bo844097828e_bool)))))
% 0.46/0.91  (assume a129 (forall ((C_1 $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool X_2) A)) (= (tptp.image_187965177_pname (tptp.cOMBK_1589414042e_bool C_1) A) (tptp.insert_pname C_1 tptp.bot_bo844097828e_bool)))))
% 0.46/0.91  (assume a130 (forall ((F $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP_p799580910on_com F X_2) (tptp.some_com Y_2)) (= (tptp.insert_pname X_2 (tptp.dom_pname_com F)) (tptp.dom_pname_com F)))))
% 0.46/0.91  (assume a131 (forall ((F $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP_f2138803836on_com F X_2) (tptp.some_com Y_2)) (= (tptp.insert1325755072e_bool X_2 (tptp.dom_fu2081503504ol_com F)) (tptp.dom_fu2081503504ol_com F)))))
% 0.46/0.91  (assume a132 (forall ((F $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP_f2134636538on_com F X_2) (tptp.some_com Y_2)) (= (tptp.insert1556680138e_bool X_2 (tptp.dom_fu1342267980ol_com F)) (tptp.dom_fu1342267980ol_com F)))))
% 0.46/0.91  (assume a133 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) (tptp.image_2003357581_state F A))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state B))))))
% 0.46/0.91  (assume a134 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_1705983821_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 0.46/0.91  (assume a135 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_1619336331_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 0.46/0.91  (assume a136 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_187965177_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 0.46/0.91  (assume a137 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (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.image_1283814551_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 0.46/0.91  (assume a138 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) (tptp.image_677922117_state F A))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state B))))))
% 0.46/0.91  (assume a139 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) (tptp.image_892968839_state F A))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state B))))))
% 0.46/0.91  (assume a140 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) (tptp.image_18964633_state F A))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state B))))))
% 0.46/0.91  (assume a141 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) (tptp.image_516545147_state F A))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state B))))))
% 0.46/0.91  (assume a142 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f389811538l_bool (tptp.hAPP_f1759205631l_bool tptp.ord_le1375671464l_bool B) (tptp.image_1642285373l_bool F A))) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool B))))))
% 0.46/0.91  (assume a143 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f468958928l_bool (tptp.hAPP_f667366769l_bool tptp.ord_le889598034l_bool B) (tptp.image_288317893l_bool F A))) (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool B))))))
% 0.46/0.91  (assume a144 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_pname_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 0.46/0.91  (assume a145 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool B) (tptp.image_70449425e_bool F A))) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool B))))))
% 0.46/0.91  (assume a146 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.image_47868345e_bool F A))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B))))))
% 0.46/0.91  (assume a147 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state A)) (=> (tptp.hBOOL (tptp.hAPP_f389811538l_bool (tptp.hAPP_f1759205631l_bool tptp.ord_le1375671464l_bool B) (tptp.image_1210605179l_bool F A))) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool B))))))
% 0.46/0.91  (assume a148 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state A)) (=> (tptp.hBOOL (tptp.hAPP_f468958928l_bool (tptp.hAPP_f667366769l_bool tptp.ord_le889598034l_bool B) (tptp.image_1761575943l_bool F A))) (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool B))))))
% 0.46/0.91  (assume a149 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_54689091_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 0.46/0.91  (assume a150 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state A)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool B) (tptp.image_1828608335e_bool F A))) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool B))))))
% 0.46/0.91  (assume a151 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.image_2131964411e_bool F A))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B))))))
% 0.46/0.91  (assume a152 (forall ((A $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) (tptp.insert1415133716_state X_2 tptp.bot_bo620288102e_bool))) (or (= A tptp.bot_bo620288102e_bool) (= A (tptp.insert1415133716_state X_2 tptp.bot_bo620288102e_bool))))))
% 0.46/0.91  (assume a153 (forall ((A $$unsorted) (X_2 $$unsorted)) (=> (tptp.is_fun1661590463l_bool A) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A) (tptp.insert1325755072e_bool X_2 tptp.bot_bo1649642514l_bool))) (or (= A tptp.bot_bo1649642514l_bool) (= A (tptp.insert1325755072e_bool X_2 tptp.bot_bo1649642514l_bool)))))))
% 0.46/0.91  (assume a154 (forall ((A $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool A) (tptp.insert1556680138e_bool X_2 tptp.bot_bo535777328l_bool))) (or (= A tptp.bot_bo535777328l_bool) (= A (tptp.insert1556680138e_bool X_2 tptp.bot_bo535777328l_bool))))))
% 0.46/0.91  (assume a155 (forall ((A $$unsorted) (X_2 $$unsorted)) (=> (tptp.is_fun_pname_bool A) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.insert_pname X_2 tptp.bot_bo844097828e_bool))) (or (= A tptp.bot_bo844097828e_bool) (= A (tptp.insert_pname X_2 tptp.bot_bo844097828e_bool)))))))
% 0.46/0.91  (assume a156 (forall ((C_1 $$unsorted)) (=> (tptp.hBOOL tptp.hoare_165779456gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.wt C_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))))))
% 0.46/0.91  (assume a157 (forall ((A_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_2) tptp.bot_bo620288102e_bool)))))
% 0.46/0.91  (assume a158 (forall ((A_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_2) tptp.bot_bo1649642514l_bool)))))
% 0.46/0.91  (assume a159 (forall ((A_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool A_2) tptp.bot_bo535777328l_bool)))))
% 0.46/0.91  (assume a160 (forall ((A_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) tptp.bot_bo844097828e_bool)))))
% 0.46/0.91  (assume a161 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (B $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_2) B))) (= A_2 B_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_2) (tptp.insert1415133716_state B_1 B))))))
% 0.46/0.91  (assume a162 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (B $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_2) B))) (= A_2 B_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_2) (tptp.insert1325755072e_bool B_1 B))))))
% 0.46/0.91  (assume a163 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (B $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool A_2) B))) (= A_2 B_1)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool A_2) (tptp.insert1556680138e_bool B_1 B))))))
% 0.46/0.91  (assume a164 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (B $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) B))) (= A_2 B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) (tptp.insert_pname B_1 B))))))
% 0.46/0.91  (assume a165 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_2) (tptp.insert1415133716_state B_1 A))) (=> (not (= A_2 B_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_2) A))))))
% 0.46/0.91  (assume a166 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (A $$unsorted)) (=> (and (tptp.is_fun_pname_bool A_2) (tptp.is_fun_pname_bool B_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_2) (tptp.insert1325755072e_bool B_1 A))) (=> (not (= A_2 B_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_2) A)))))))
% 0.46/0.91  (assume a167 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool A_2) (tptp.insert1556680138e_bool B_1 A))) (=> (not (= A_2 B_1)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool A_2) A))))))
% 0.46/0.91  (assume a168 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (A $$unsorted)) (=> (and (tptp.is_pname A_2) (tptp.is_pname B_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) (tptp.insert_pname B_1 A))) (=> (not (= A_2 B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A)))))))
% 0.46/0.91  (assume a169 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) A)) (= A B)))))
% 0.46/0.91  (assume a170 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun1661590463l_bool A) (tptp.is_fun1661590463l_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) A)) (= A B))))))
% 0.46/0.91  (assume a171 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool B) A)) (= A B)))))
% 0.46/0.91  (assume a172 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun_pname_bool A) (tptp.is_fun_pname_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A)) (= A B))))))
% 0.46/0.91  (assume a173 (forall ((C_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state C_1) A)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state C_1) B))))))
% 0.46/0.91  (assume a174 (forall ((C_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool C_1) A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool C_1) B))))))
% 0.46/0.91  (assume a175 (forall ((C_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool C_1) A)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool C_1) B))))))
% 0.46/0.91  (assume a176 (forall ((C_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_1) B))))))
% 0.46/0.91  (assume a177 (forall ((A $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_2 $$unsorted)) (=> (= B_1 (tptp.hAPP_H356885323e_bool F X_2)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool B_1) (tptp.image_2131964411e_bool F A)))))))
% 0.46/0.91  (assume a178 (forall ((A $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_2 $$unsorted)) (=> (= B_1 (tptp.hAPP_H1049623551e_bool F X_2)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) A)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool B_1) (tptp.image_1828608335e_bool F A)))))))
% 0.46/0.91  (assume a179 (forall ((A $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_2 $$unsorted)) (=> (= B_1 (tptp.hAPP_p61793385e_bool F X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool B_1) (tptp.image_47868345e_bool F A)))))))
% 0.46/0.91  (assume a180 (forall ((A $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_2 $$unsorted)) (=> (= B_1 (tptp.hAPP_p442853985e_bool F X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool B_1) (tptp.image_70449425e_bool F A)))))))
% 0.46/0.91  (assume a181 (forall ((A $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_2 $$unsorted)) (=> (= B_1 (tptp.hAPP_f888949707_state F X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state B_1) (tptp.image_516545147_state F A)))))))
% 0.46/0.91  (assume a182 (forall ((A $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_2 $$unsorted)) (=> (= B_1 (tptp.hAPP_f1387463497_state F X_2)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state B_1) (tptp.image_18964633_state F A)))))))
% 0.46/0.91  (assume a183 (forall ((A $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_2 $$unsorted)) (=> (= B_1 (tptp.hAPP_H1621176307_pname F X_2)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.image_54689091_pname F A)))))))
% 0.46/0.91  (assume a184 (forall ((A $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_2 $$unsorted)) (=> (= B_1 (tptp.hAPP_pname_pname F X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.image_pname_pname F A)))))))
% 0.46/0.91  (assume a185 (forall ((A $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_2 $$unsorted)) (=> (= B_1 (tptp.hAPP_f1297739591_pname F X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.image_1283814551_pname F A)))))))
% 0.46/0.91  (assume a186 (forall ((A $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_2 $$unsorted)) (=> (= B_1 (tptp.hAPP_f560369737_pname F X_2)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.image_187965177_pname F A)))))))
% 0.46/0.91  (assume a187 (forall ((A $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_2 $$unsorted)) (=> (= B_1 (tptp.hAPP_p1422361149_state F X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state B_1) (tptp.image_2003357581_state F A)))))))
% 0.46/0.91  (assume a188 (forall ((A_2 $$unsorted) (A $$unsorted)) (=> (= A tptp.bot_bo1649642514l_bool) (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_2) A))))))
% 0.46/0.91  (assume a189 (forall ((A_2 $$unsorted) (A $$unsorted)) (=> (= A tptp.bot_bo535777328l_bool) (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool A_2) A))))))
% 0.46/0.91  (assume a190 (forall ((A_2 $$unsorted) (A $$unsorted)) (=> (= A tptp.bot_bo620288102e_bool) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_2) A))))))
% 0.46/0.91  (assume a191 (forall ((A_2 $$unsorted) (A $$unsorted)) (=> (= A tptp.bot_bo844097828e_bool) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A))))))
% 0.46/0.91  (assume a192 (forall ((P_1 $$unsorted)) (= (= (tptp.collec1613912337l_bool P_1) tptp.bot_bo1537088220l_bool) (forall ((X_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool X_1) (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 X_1))))))))
% 0.46/0.91  (assume a193 (forall ((P_1 $$unsorted)) (= (= (tptp.collec488126193l_bool P_1) tptp.bot_bo1761158942l_bool) (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool P_1 X_1)))))))
% 0.46/0.91  (assume a194 (forall ((P_1 $$unsorted)) (= (= (tptp.collec1823980261e_bool P_1) tptp.bot_bo535777328l_bool) (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool P_1 X_1)))))))
% 0.46/0.91  (assume a195 (forall ((P_1 $$unsorted)) (= (= (tptp.collec1974731493e_bool P_1) tptp.bot_bo1649642514l_bool) (forall ((X_1 $$unsorted)) (=> (tptp.is_fun_pname_bool X_1) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 X_1))))))))
% 0.46/0.91  (assume a196 (forall ((P_1 $$unsorted)) (= (= (tptp.collec307967673_state P_1) tptp.bot_bo620288102e_bool) (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_H78829294e_bool P_1 X_1)))))))
% 0.46/0.91  (assume a197 (forall ((P_1 $$unsorted)) (= (= (tptp.collect_pname P_1) tptp.bot_bo844097828e_bool) (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (not (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_1))))))))
% 0.46/0.91  (assume a198 (forall ((C_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool C_1) tptp.bot_bo1649642514l_bool)))))
% 0.46/0.91  (assume a199 (forall ((C_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool C_1) tptp.bot_bo535777328l_bool)))))
% 0.46/0.91  (assume a200 (forall ((C_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state C_1) tptp.bot_bo620288102e_bool)))))
% 0.46/0.91  (assume a201 (forall ((C_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_1) tptp.bot_bo844097828e_bool)))))
% 0.46/0.91  (assume a202 (forall ((P_1 $$unsorted)) (= (= tptp.bot_bo1537088220l_bool (tptp.collec1613912337l_bool P_1)) (forall ((X_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool X_1) (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 X_1))))))))
% 0.46/0.91  (assume a203 (forall ((P_1 $$unsorted)) (= (= tptp.bot_bo1761158942l_bool (tptp.collec488126193l_bool P_1)) (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool P_1 X_1)))))))
% 0.46/0.91  (assume a204 (forall ((P_1 $$unsorted)) (= (= tptp.bot_bo535777328l_bool (tptp.collec1823980261e_bool P_1)) (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool P_1 X_1)))))))
% 0.46/0.91  (assume a205 (forall ((P_1 $$unsorted)) (= (= tptp.bot_bo1649642514l_bool (tptp.collec1974731493e_bool P_1)) (forall ((X_1 $$unsorted)) (=> (tptp.is_fun_pname_bool X_1) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 X_1))))))))
% 0.46/0.91  (assume a206 (forall ((P_1 $$unsorted)) (= (= tptp.bot_bo620288102e_bool (tptp.collec307967673_state P_1)) (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_H78829294e_bool P_1 X_1)))))))
% 0.46/0.91  (assume a207 (forall ((P_1 $$unsorted)) (= (= tptp.bot_bo844097828e_bool (tptp.collect_pname P_1)) (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (not (tptp.hBOOL (tptp.hAPP_pname_bool P_1 X_1))))))))
% 0.46/0.91  (assume a208 (forall ((A $$unsorted)) (=> (tptp.is_fun1661590463l_bool A) (= (exists ((X_1 $$unsorted)) (and (tptp.is_fun_pname_bool X_1) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A)))) (not (= A tptp.bot_bo1649642514l_bool))))))
% 0.46/0.91  (assume a209 (forall ((A $$unsorted)) (= (exists ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool X_1) A))) (not (= A tptp.bot_bo535777328l_bool)))))
% 0.46/0.91  (assume a210 (forall ((A $$unsorted)) (= (exists ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_1) A))) (not (= A tptp.bot_bo620288102e_bool)))))
% 0.46/0.91  (assume a211 (forall ((A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (= (exists ((X_1 $$unsorted)) (and (tptp.is_pname X_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)))) (not (= A tptp.bot_bo844097828e_bool))))))
% 0.46/0.91  (assume a212 (forall ((A $$unsorted)) (=> (tptp.is_fun1661590463l_bool A) (= (forall ((X_1 $$unsorted)) (=> (tptp.is_fun_pname_bool X_1) (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A))))) (= A tptp.bot_bo1649642514l_bool)))))
% 0.46/0.91  (assume a213 (forall ((A $$unsorted)) (= (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool X_1) A)))) (= A tptp.bot_bo535777328l_bool))))
% 0.46/0.91  (assume a214 (forall ((A $$unsorted)) (= (forall ((X_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_1) A)))) (= A tptp.bot_bo620288102e_bool))))
% 0.46/0.91  (assume a215 (forall ((A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (= (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))))) (= A tptp.bot_bo844097828e_bool)))))
% 0.46/0.91  (assume a216 (= tptp.bot_bo1761158942l_bool (tptp.collec488126193l_bool (tptp.cOMBK_482404831l_bool tptp.fFalse))))
% 0.46/0.91  (assume a217 (= tptp.bot_bo535777328l_bool (tptp.collec1823980261e_bool (tptp.cOMBK_129401207e_bool tptp.fFalse))))
% 0.46/0.91  (assume a218 (= tptp.bot_bo1649642514l_bool (tptp.collec1974731493e_bool (tptp.cOMBK_1857069011e_bool tptp.fFalse))))
% 0.46/0.91  (assume a219 (= tptp.bot_bo620288102e_bool (tptp.collec307967673_state (tptp.cOMBK_659609255_state tptp.fFalse))))
% 0.46/0.91  (assume a220 (= tptp.bot_bo844097828e_bool (tptp.collect_pname (tptp.cOMBK_bool_pname tptp.fFalse))))
% 0.46/0.91  (assume a221 (forall ((A_2 $$unsorted) (A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A)) (= (tptp.insert_pname A_2 A) A)))))
% 0.46/0.91  (assume a222 (forall ((A_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_2) A)) (= (tptp.insert1415133716_state A_2 A) A))))
% 0.46/0.91  (assume a223 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) (tptp.insert_pname B_1 B))))))
% 0.46/0.91  (assume a224 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_2) B)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_2) (tptp.insert1415133716_state B_1 B))))))
% 0.46/0.91  (assume a225 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (and (tptp.is_fun_pname_bool B) (tptp.is_fun_pname_bool A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) B))) (= (= (tptp.insert_pname X_2 A) (tptp.insert_pname X_2 B)) (= A B)))))))
% 0.46/0.91  (assume a226 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) A))) (=> (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) B))) (= (= (tptp.insert1415133716_state X_2 A) (tptp.insert1415133716_state X_2 B)) (= A B))))))
% 0.46/0.91  (assume a227 (forall ((Y_2 $$unsorted) (A $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_pname Y_2) (tptp.is_pname X_2)) (= (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.insert_pname Y_2 A) X_2)) (or (= Y_2 X_2) (tptp.hBOOL (tptp.hAPP_pname_bool A X_2)))))))
% 0.46/0.91  (assume a228 (forall ((Y_2 $$unsorted) (A $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_H78829294e_bool (tptp.insert1415133716_state Y_2 A) X_2)) (or (= Y_2 X_2) (tptp.hBOOL (tptp.hAPP_H78829294e_bool A X_2))))))
% 0.46/0.91  (assume a229 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (A $$unsorted)) (=> (and (tptp.is_pname A_2) (tptp.is_pname B_1)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) (tptp.insert_pname B_1 A))) (or (= A_2 B_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A)))))))
% 0.46/0.91  (assume a230 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_2) (tptp.insert1415133716_state B_1 A))) (or (= A_2 B_1) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_2) A))))))
% 0.46/0.91  (assume a231 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (A $$unsorted)) (= (tptp.insert_pname X_2 (tptp.insert_pname Y_2 A)) (tptp.insert_pname Y_2 (tptp.insert_pname X_2 A)))))
% 0.46/0.91  (assume a232 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (A $$unsorted)) (= (tptp.insert1415133716_state X_2 (tptp.insert1415133716_state Y_2 A)) (tptp.insert1415133716_state Y_2 (tptp.insert1415133716_state X_2 A)))))
% 0.46/0.91  (assume a233 (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.insert_pname X_2 (tptp.insert_pname X_2 A)) (tptp.insert_pname X_2 A))))
% 0.46/0.91  (assume a234 (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.insert1415133716_state X_2 (tptp.insert1415133716_state X_2 A)) (tptp.insert1415133716_state X_2 A))))
% 0.46/0.91  (assume a235 (forall ((A_2 $$unsorted) (P_1 $$unsorted)) (= (tptp.insert_pname A_2 (tptp.collect_pname P_1)) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fimplies (tptp.cOMBB_647938656_pname tptp.fNot (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A_2))) P_1)))))
% 0.46/0.91  (assume a236 (forall ((A_2 $$unsorted) (P_1 $$unsorted)) (= (tptp.insert1415133716_state A_2 (tptp.collec307967673_state P_1)) (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fimplies (tptp.cOMBB_2144135922_state tptp.fNot (tptp.hAPP_H1049623551e_bool (tptp.cOMBC_654211620e_bool tptp.fequal1111551311_state) A_2))) P_1)))))
% 0.46/0.91  (assume a237 (forall ((A_2 $$unsorted) (P_1 $$unsorted)) (= (tptp.insert1325755072e_bool A_2 (tptp.collec1974731493e_bool P_1)) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fimplies (tptp.cOMBB_307249310e_bool tptp.fNot (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A_2))) P_1)))))
% 0.46/0.91  (assume a238 (forall ((A_2 $$unsorted) (P_1 $$unsorted)) (= (tptp.insert1556680138e_bool A_2 (tptp.collec1823980261e_bool P_1)) (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fimplies (tptp.cOMBB_1522210668e_bool tptp.fNot (tptp.hAPP_f72706945l_bool (tptp.cOMBC_449066458l_bool tptp.fequal1311889615e_bool) A_2))) P_1)))))
% 0.46/0.91  (assume a239 (forall ((A_2 $$unsorted) (B $$unsorted)) (= (tptp.insert_pname A_2 B) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A_2)) (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) B))))))
% 0.46/0.91  (assume a240 (forall ((A_2 $$unsorted) (B $$unsorted)) (= (tptp.insert1415133716_state A_2 B) (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fdisj (tptp.hAPP_H1049623551e_bool (tptp.cOMBC_654211620e_bool tptp.fequal1111551311_state) A_2)) (tptp.hAPP_f98417237e_bool (tptp.cOMBC_1734175330l_bool tptp.member1338687867_state) B))))))
% 0.46/0.91  (assume a241 (forall ((A_2 $$unsorted) (B $$unsorted)) (= (tptp.insert1325755072e_bool A_2 B) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A_2)) (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) B))))))
% 0.46/0.91  (assume a242 (forall ((A_2 $$unsorted) (B $$unsorted)) (= (tptp.insert1556680138e_bool A_2 B) (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fdisj (tptp.hAPP_f72706945l_bool (tptp.cOMBC_449066458l_bool tptp.fequal1311889615e_bool) A_2)) (tptp.hAPP_f1201187855l_bool (tptp.cOMBC_1114453604l_bool tptp.member2114907555e_bool) B))))))
% 0.46/0.91  (assume a243 (forall ((A_2 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) (tptp.insert_pname A_2 B)))))
% 0.46/0.91  (assume a244 (forall ((A_2 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_2) (tptp.insert1415133716_state A_2 B)))))
% 0.46/0.91  (assume a245 (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A))))))))
% 0.46/0.91  (assume a246 (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (not (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) A))))))))
% 0.46/0.91  (assume a247 (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (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_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) C_2))))))
% 0.46/0.91  (assume a248 (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) C_2)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) C_2))))))
% 0.46/0.91  (assume a249 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (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_2) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) B))))))
% 0.46/0.91  (assume a250 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) A)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) B))))))
% 0.46/0.91  (assume a251 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) 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_2) B))))))
% 0.46/0.91  (assume a252 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) B))))))
% 0.46/0.91  (assume a253 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (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_2) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) B))))))
% 0.46/0.91  (assume a254 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) A)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) B))))))
% 0.46/0.91  (assume a255 (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A)))))
% 0.46/0.91  (assume a256 (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) A)))))
% 0.46/0.91  (assume a257 (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)))))
% 0.46/0.91  (assume a258 (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)))))
% 0.46/0.91  (assume a259 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun_pname_bool A) (tptp.is_fun_pname_bool B)) (= (= A B) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A)))))))
% 0.46/0.91  (assume a260 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) A))))))
% 0.46/0.91  (assume a261 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) A))))
% 0.46/0.91  (assume a262 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) A))))
% 0.46/0.91  (assume a263 (forall ((B_1 $$unsorted) (F $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (=> (= B_1 (tptp.hAPP_p1422361149_state F X_2)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state B_1) (tptp.image_2003357581_state F A)))))))
% 0.46/0.91  (assume a264 (forall ((F $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state (tptp.hAPP_p1422361149_state F X_2)) (tptp.image_2003357581_state F A))))))
% 0.46/0.91  (assume a265 (forall ((Z $$unsorted) (F $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state Z) (tptp.image_2003357581_state F A))) (exists ((X_1 $$unsorted)) (and (tptp.is_pname X_1) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= Z (tptp.hAPP_p1422361149_state F X_1)))))))
% 0.46/0.91  (assume a266 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj P_1) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname P_1))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname Q_1)))))))
% 0.46/0.91  (assume a267 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fdisj P_1) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.collec307967673_state P_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.collec307967673_state Q_1)))))))
% 0.46/0.91  (assume a268 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj P_1) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool P_1))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool Q_1)))))))
% 0.46/0.91  (assume a269 (forall ((P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fdisj P_1) Q_1)))) (and (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.collec1823980261e_bool P_1))) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.collec1823980261e_bool Q_1)))))))
% 0.46/0.91  (assume a270 (forall ((X_1 $$unsorted) (Xa $$unsorted)) (= (tptp.insert_pname X_1 Xa) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) X_1)) (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) Xa))))))
% 0.46/0.91  (assume a271 (forall ((X_1 $$unsorted) (Xa $$unsorted)) (= (tptp.insert1415133716_state X_1 Xa) (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fdisj (tptp.hAPP_H1049623551e_bool (tptp.cOMBC_654211620e_bool tptp.fequal1111551311_state) X_1)) (tptp.hAPP_f98417237e_bool (tptp.cOMBC_1734175330l_bool tptp.member1338687867_state) Xa))))))
% 0.46/0.91  (assume a272 (forall ((X_1 $$unsorted) (Xa $$unsorted)) (= (tptp.insert1325755072e_bool X_1 Xa) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) X_1)) (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool) Xa))))))
% 0.46/0.91  (assume a273 (forall ((X_1 $$unsorted) (Xa $$unsorted)) (= (tptp.insert1556680138e_bool X_1 Xa) (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fdisj (tptp.hAPP_f72706945l_bool (tptp.cOMBC_449066458l_bool tptp.fequal1311889615e_bool) X_1)) (tptp.hAPP_f1201187855l_bool (tptp.cOMBC_1114453604l_bool tptp.member2114907555e_bool) Xa))))))
% 0.46/0.91  (assume a274 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (and (tptp.is_pname A_2) (tptp.is_pname B_1)) (=> (= (tptp.insert_pname A_2 tptp.bot_bo844097828e_bool) (tptp.insert_pname B_1 tptp.bot_bo844097828e_bool)) (= A_2 B_1)))))
% 0.46/0.91  (assume a275 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (= (tptp.insert1415133716_state A_2 tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state B_1 tptp.bot_bo620288102e_bool)) (= A_2 B_1))))
% 0.46/0.91  (assume a276 (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (and (tptp.is_pname B_1) (tptp.is_pname A_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.insert_pname A_2 tptp.bot_bo844097828e_bool))) (= B_1 A_2)))))
% 0.46/0.91  (assume a277 (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state B_1) (tptp.insert1415133716_state A_2 tptp.bot_bo620288102e_bool))) (= B_1 A_2))))
% 0.46/0.91  (assume a278 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (=> (and (tptp.is_pname A_2) (tptp.is_pname B_1) (tptp.is_pname C_1) (tptp.is_pname D_1)) (= (= (tptp.insert_pname A_2 (tptp.insert_pname B_1 tptp.bot_bo844097828e_bool)) (tptp.insert_pname C_1 (tptp.insert_pname D_1 tptp.bot_bo844097828e_bool))) (or (and (= A_2 C_1) (= B_1 D_1)) (and (= A_2 D_1) (= B_1 C_1)))))))
% 0.46/0.91  (assume a279 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (= (= (tptp.insert1415133716_state A_2 (tptp.insert1415133716_state B_1 tptp.bot_bo620288102e_bool)) (tptp.insert1415133716_state C_1 (tptp.insert1415133716_state D_1 tptp.bot_bo620288102e_bool))) (or (and (= A_2 C_1) (= B_1 D_1)) (and (= A_2 D_1) (= B_1 C_1))))))
% 0.46/0.91  (assume a280 (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (and (tptp.is_pname B_1) (tptp.is_pname A_2)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_1) (tptp.insert_pname A_2 tptp.bot_bo844097828e_bool))) (= B_1 A_2)))))
% 0.46/0.91  (assume a281 (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state B_1) (tptp.insert1415133716_state A_2 tptp.bot_bo620288102e_bool))) (= B_1 A_2))))
% 0.46/0.91  (assume a282 (forall ((A_2 $$unsorted) (A $$unsorted)) (not (= (tptp.insert_pname A_2 A) tptp.bot_bo844097828e_bool))))
% 0.46/0.91  (assume a283 (forall ((A_2 $$unsorted) (A $$unsorted)) (not (= (tptp.insert1415133716_state A_2 A) tptp.bot_bo620288102e_bool))))
% 0.46/0.91  (assume a284 (forall ((A_2 $$unsorted) (A $$unsorted)) (not (= tptp.bot_bo844097828e_bool (tptp.insert_pname A_2 A)))))
% 0.46/0.91  (assume a285 (forall ((A_2 $$unsorted) (A $$unsorted)) (not (= tptp.bot_bo620288102e_bool (tptp.insert1415133716_state A_2 A)))))
% 0.46/0.91  (assume a286 (forall ((A_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.insert_pname A_2 A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)))))
% 0.46/0.91  (assume a287 (forall ((A_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.insert1415133716_state A_2 A))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state A)))))
% 0.46/0.91  (assume a288 (forall ((A_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.insert1325755072e_bool A_2 A))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)))))
% 0.46/0.91  (assume a289 (forall ((A_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.insert1556680138e_bool A_2 A))) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool A)))))
% 0.46/0.91  (assume a290 (forall ((A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) tptp.bot_bo844097828e_bool)) (= A tptp.bot_bo844097828e_bool)))))
% 0.46/0.91  (assume a291 (forall ((A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) tptp.bot_bo620288102e_bool)) (= A tptp.bot_bo620288102e_bool))))
% 0.46/0.91  (assume a292 (forall ((F $$unsorted) (A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (= (= (tptp.image_2003357581_state F A) tptp.bot_bo620288102e_bool) (= A tptp.bot_bo844097828e_bool)))))
% 0.46/0.91  (assume a293 (forall ((F $$unsorted)) (= (tptp.image_2003357581_state F tptp.bot_bo844097828e_bool) tptp.bot_bo620288102e_bool)))
% 0.46/0.91  (assume a294 (forall ((F $$unsorted) (A $$unsorted)) (=> (tptp.is_fun_pname_bool A) (= (= tptp.bot_bo620288102e_bool (tptp.image_2003357581_state F A)) (= A tptp.bot_bo844097828e_bool)))))
% 0.46/0.91  (assume a295 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A))))))
% 0.46/0.91  (assume a296 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool B)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool A))))))
% 0.46/0.91  (assume a297 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))))))
% 0.46/0.91  (assume a298 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state B)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state A))))))
% 0.46/0.91  (assume a299 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A))))))
% 0.46/0.91  (assume a300 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool A))))))
% 0.46/0.91  (assume a301 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))))))
% 0.46/0.91  (assume a302 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state B)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state A))))))
% 0.46/0.91  (assume a303 (forall ((A_2 $$unsorted) (C_2 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_2) D)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.insert_pname A_2 C_2)) (tptp.insert_pname A_2 D))))))
% 0.46/0.91  (assume a304 (forall ((A_2 $$unsorted) (C_2 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool C_2) D)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool (tptp.insert1415133716_state A_2 C_2)) (tptp.insert1415133716_state A_2 D))))))
% 0.46/0.91  (assume a305 (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_pname_bool A X_2)))))
% 0.46/0.91  (assume a306 (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) A)) (tptp.hBOOL (tptp.hAPP_H78829294e_bool A X_2)))))
% 0.46/0.91  (assume a307 (forall ((P_1 $$unsorted)) (=> (tptp.is_fun_pname_bool P_1) (= (tptp.collect_pname P_1) P_1))))
% 0.46/0.91  (assume a308 (forall ((P_1 $$unsorted)) (= (tptp.collec307967673_state P_1) P_1)))
% 0.46/0.91  (assume a309 (forall ((P_1 $$unsorted)) (=> (tptp.is_fun1661590463l_bool P_1) (= (tptp.collec1974731493e_bool P_1) P_1))))
% 0.46/0.91  (assume a310 (forall ((P_1 $$unsorted)) (= (tptp.collec1823980261e_bool P_1) P_1)))
% 0.46/0.91  (assume a311 (forall ((B_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (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.insert_pname B_1 B))))))
% 0.46/0.91  (assume a312 (forall ((B_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) (tptp.insert1415133716_state B_1 B))))))
% 0.46/0.91  (assume a313 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A))) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.insert_pname X_2 B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B))))))
% 0.46/0.91  (assume a314 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) A))) (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) (tptp.insert1415133716_state X_2 B))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B))))))
% 0.46/0.91  (assume a315 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.insert_pname X_2 A)) B)) (and (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))))))
% 0.46/0.91  (assume a316 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool (tptp.insert1415133716_state X_2 A)) B)) (and (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_2) B)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B))))))
% 0.46/0.91  (assume a317 (forall ((B $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.insert_pname A_2 B)))))
% 0.46/0.91  (assume a318 (forall ((B $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) (tptp.insert1415133716_state A_2 B)))))
% 0.46/0.91  (assume a319 (forall ((F $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (= (tptp.insert1415133716_state (tptp.hAPP_p1422361149_state F X_2) (tptp.image_2003357581_state F A)) (tptp.image_2003357581_state F A)))))
% 0.46/0.91  (assume a320 (forall ((F $$unsorted) (A_2 $$unsorted) (B $$unsorted)) (= (tptp.image_2003357581_state F (tptp.insert_pname A_2 B)) (tptp.insert1415133716_state (tptp.hAPP_p1422361149_state F A_2) (tptp.image_2003357581_state F B)))))
% 0.46/0.91  (assume a321 (forall ((F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool (tptp.image_2003357581_state F A)) (tptp.image_2003357581_state F B))))))
% 0.46/0.91  (assume a322 (forall ((B $$unsorted) (F $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) (tptp.image_2003357581_state F A))) (exists ((AA $$unsorted)) (and (tptp.is_fun_pname_bool AA) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool AA) A)) (= B (tptp.image_2003357581_state F AA)))))))
% 0.46/0.91  (assume a323 (forall ((M $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (= (tptp.hAPP_p799580910on_com M A_2) (tptp.some_com B_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) (tptp.dom_pname_com M))))))
% 0.46/0.91  (assume a324 (forall ((P_1 $$unsorted) (A_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_pname_bool P_1 A_2)) (= (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A_2)) P_1)) (tptp.insert_pname A_2 tptp.bot_bo844097828e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_pname_bool P_1 A_2))) (= (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A_2)) P_1)) tptp.bot_bo844097828e_bool)))))
% 0.46/0.91  (assume a325 (forall ((P_1 $$unsorted) (A_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_H78829294e_bool P_1 A_2)) (= (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fconj (tptp.hAPP_H1049623551e_bool (tptp.cOMBC_654211620e_bool tptp.fequal1111551311_state) A_2)) P_1)) (tptp.insert1415133716_state A_2 tptp.bot_bo620288102e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_H78829294e_bool P_1 A_2))) (= (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fconj (tptp.hAPP_H1049623551e_bool (tptp.cOMBC_654211620e_bool tptp.fequal1111551311_state) A_2)) P_1)) tptp.bot_bo620288102e_bool)))))
% 0.46/0.91  (assume a326 (forall ((P_1 $$unsorted) (A_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A_2)) (= (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A_2)) P_1)) (tptp.insert1325755072e_bool A_2 tptp.bot_bo1649642514l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A_2))) (= (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A_2)) P_1)) tptp.bot_bo1649642514l_bool)))))
% 0.46/0.91  (assume a327 (forall ((P_1 $$unsorted) (A_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool P_1 A_2)) (= (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fconj (tptp.hAPP_f72706945l_bool (tptp.cOMBC_449066458l_bool tptp.fequal1311889615e_bool) A_2)) P_1)) (tptp.insert1556680138e_bool A_2 tptp.bot_bo535777328l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool P_1 A_2))) (= (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fconj (tptp.hAPP_f72706945l_bool (tptp.cOMBC_449066458l_bool tptp.fequal1311889615e_bool) A_2)) P_1)) tptp.bot_bo535777328l_bool)))))
% 0.46/0.91  (assume a328 (forall ((P_1 $$unsorted) (A_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_pname_bool P_1 A_2)) (= (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_p61793385e_bool tptp.fequal_pname A_2)) P_1)) (tptp.insert_pname A_2 tptp.bot_bo844097828e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_pname_bool P_1 A_2))) (= (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_p61793385e_bool tptp.fequal_pname A_2)) P_1)) tptp.bot_bo844097828e_bool)))))
% 0.46/0.91  (assume a329 (forall ((P_1 $$unsorted) (A_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_H78829294e_bool P_1 A_2)) (= (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fconj (tptp.hAPP_H1049623551e_bool tptp.fequal1111551311_state A_2)) P_1)) (tptp.insert1415133716_state A_2 tptp.bot_bo620288102e_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_H78829294e_bool P_1 A_2))) (= (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fconj (tptp.hAPP_H1049623551e_bool tptp.fequal1111551311_state A_2)) P_1)) tptp.bot_bo620288102e_bool)))))
% 0.46/0.91  (assume a330 (forall ((P_1 $$unsorted) (A_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A_2)) (= (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool A_2)) P_1)) (tptp.insert1325755072e_bool A_2 tptp.bot_bo1649642514l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 A_2))) (= (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool A_2)) P_1)) tptp.bot_bo1649642514l_bool)))))
% 0.46/0.91  (assume a331 (forall ((P_1 $$unsorted) (A_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool P_1 A_2)) (= (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fconj (tptp.hAPP_f72706945l_bool tptp.fequal1311889615e_bool A_2)) P_1)) (tptp.insert1556680138e_bool A_2 tptp.bot_bo535777328l_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool P_1 A_2))) (= (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fconj (tptp.hAPP_f72706945l_bool tptp.fequal1311889615e_bool A_2)) P_1)) tptp.bot_bo535777328l_bool)))))
% 0.46/0.91  (assume a332 (forall ((A_2 $$unsorted)) (= (tptp.collect_pname (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A_2)) (tptp.insert_pname A_2 tptp.bot_bo844097828e_bool))))
% 0.46/0.91  (assume a333 (forall ((A_2 $$unsorted)) (= (tptp.collec307967673_state (tptp.hAPP_H1049623551e_bool (tptp.cOMBC_654211620e_bool tptp.fequal1111551311_state) A_2)) (tptp.insert1415133716_state A_2 tptp.bot_bo620288102e_bool))))
% 0.46/0.91  (assume a334 (forall ((A_2 $$unsorted)) (= (tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool) A_2)) (tptp.insert1325755072e_bool A_2 tptp.bot_bo1649642514l_bool))))
% 0.46/0.91  (assume a335 (forall ((A_2 $$unsorted)) (= (tptp.collec1823980261e_bool (tptp.hAPP_f72706945l_bool (tptp.cOMBC_449066458l_bool tptp.fequal1311889615e_bool) A_2)) (tptp.insert1556680138e_bool A_2 tptp.bot_bo535777328l_bool))))
% 0.46/0.91  (assume a336 (forall ((A_2 $$unsorted)) (= (tptp.collect_pname (tptp.hAPP_p61793385e_bool tptp.fequal_pname A_2)) (tptp.insert_pname A_2 tptp.bot_bo844097828e_bool))))
% 0.46/0.91  (assume a337 (forall ((A_2 $$unsorted)) (= (tptp.collec307967673_state (tptp.hAPP_H1049623551e_bool tptp.fequal1111551311_state A_2)) (tptp.insert1415133716_state A_2 tptp.bot_bo620288102e_bool))))
% 0.46/0.91  (assume a338 (forall ((A_2 $$unsorted)) (= (tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool A_2)) (tptp.insert1325755072e_bool A_2 tptp.bot_bo1649642514l_bool))))
% 0.46/0.91  (assume a339 (forall ((A_2 $$unsorted)) (= (tptp.collec1823980261e_bool (tptp.hAPP_f72706945l_bool tptp.fequal1311889615e_bool A_2)) (tptp.insert1556680138e_bool A_2 tptp.bot_bo535777328l_bool))))
% 0.46/0.91  (assume a340 (forall ((C_1 $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL tptp.hoare_165779456gleton) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) (tptp.dom_pname_com tptp.body))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_pname_com tptp.body_1 X_1)) tptp.bot_bo620288102e_bool)))))) (=> (tptp.hBOOL (tptp.wt C_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))))))
% 0.46/0.91  (assume a341 (forall ((Pn $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2)) (tptp.hBOOL (tptp.wt B_2))))))
% 0.46/0.91  (assume a342 (forall ((B_1 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state B_1) (tptp.image_2003357581_state F A))) (not (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (=> (= B_1 (tptp.hAPP_p1422361149_state F X_1)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))))))))))
% 0.46/0.91  (assume a343 (forall ((P_1 $$unsorted) (A $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool Fa) A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 tptp.bot_bo844097828e_bool)) (=> (forall ((A_1 $$unsorted) (F_1 $$unsorted)) (=> (and (tptp.is_pname A_1) (tptp.is_fun_pname_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_1) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_1) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 (tptp.insert_pname A_1 F_1))))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool P_1 Fa))))))))
% 0.46/0.91  (assume a344 (forall ((P_1 $$unsorted) (A $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state Fa)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool Fa) A)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool P_1 tptp.bot_bo620288102e_bool)) (=> (forall ((A_1 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state F_1)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_1) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state A_1) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool P_1 (tptp.insert1415133716_state A_1 F_1)))))))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool P_1 Fa))))))))
% 0.46/0.91  (assume a345 (forall ((P_1 $$unsorted) (A $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool Fa)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool Fa) A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 tptp.bot_bo1649642514l_bool)) (=> (forall ((A_1 $$unsorted) (F_1 $$unsorted)) (=> (and (tptp.is_fun_pname_bool A_1) (tptp.is_fun1661590463l_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_1) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool A_1) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 (tptp.insert1325755072e_bool A_1 F_1))))))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool P_1 Fa))))))))
% 0.46/0.91  (assume a346 (forall ((P_1 $$unsorted) (A $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool Fa)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool Fa) A)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool P_1 tptp.bot_bo535777328l_bool)) (=> (forall ((A_1 $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool F_1)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool A_1) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool A_1) F_1))) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool P_1 F_1)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool P_1 (tptp.insert1556680138e_bool A_1 F_1)))))))) (tptp.hBOOL (tptp.hAPP_f166538662l_bool P_1 Fa))))))))
% 0.46/0.91  (assume a347 (forall ((P $$unsorted)) (=> (tptp.hBOOL (tptp.wt (tptp.hAPP_pname_com tptp.body_1 P))) (not (forall ((Y_1 $$unsorted)) (not (= (tptp.hAPP_p799580910on_com tptp.body P) (tptp.some_com Y_1))))))))
% 0.46/0.91  (assume a348 (forall ((B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_pname X_1) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)))))
% 0.46/0.91  (assume a349 (forall ((B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_1) A)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state X_1) B)))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool A) B)))))
% 0.46/0.91  (assume a350 (forall ((F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state B)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool B) (tptp.image_2003357581_state F A))) (exists ((C $$unsorted)) (and (tptp.is_fun_pname_bool C) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C)) (= B (tptp.image_2003357581_state F C))))))))
% 0.46/0.91  (assume a351 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.dom_pname_com tptp.body))))
% 0.46/0.91  (assume a352 (forall ((Pname_1 $$unsorted) (Pname $$unsorted)) (=> (and (tptp.is_pname Pname_1) (tptp.is_pname Pname)) (= (= (tptp.hAPP_pname_com tptp.body_1 Pname_1) (tptp.hAPP_pname_com tptp.body_1 Pname)) (= Pname_1 Pname)))))
% 0.46/0.91  (assume a353 (forall ((P $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P))) (not (tptp.hBOOL P)))))
% 0.46/0.91  (assume a354 (forall ((P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P)))))
% 0.46/0.91  (assume a355 (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q)))))
% 0.46/0.91  (assume a356 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL P))))
% 0.46/0.91  (assume a357 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL Q))))
% 0.46/0.91  (assume a358 (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q)))))
% 0.46/0.91  (assume a359 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q)))))
% 0.46/0.91  (assume a360 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q))) (tptp.hBOOL P) (tptp.hBOOL Q))))
% 0.46/0.91  (assume a361 (not (tptp.hBOOL tptp.fFalse)))
% 0.46/0.91  (assume a362 (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))))
% 0.46/0.91  (assume a363 (forall ((Q $$unsorted) (P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q)))))
% 0.46/0.91  (assume a364 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q)))))
% 0.46/0.91  (assume a365 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q))) (not (tptp.hBOOL P)) (tptp.hBOOL Q))))
% 0.46/0.91  (assume a366 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_pname X) (tptp.is_pname Y)) (or (not (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname X) Y))) (= X Y)))))
% 0.46/0.91  (assume a367 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname X) Y)))))
% 0.46/0.91  (assume a368 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_pname_bool (tptp.cOMBK_bool_pname P) Q) P))))
% 0.46/0.91  (assume a369 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_pname P) (= (tptp.hAPP_pname_pname (tptp.cOMBK_pname_pname P) Q) P))))
% 0.46/0.91  (assume a370 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_fun_pname_bool X) (tptp.is_fun_pname_bool Y)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool X) Y))) (= X Y)))))
% 0.46/0.91  (assume a371 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool X) Y)))))
% 0.46/0.91  (assume a372 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.cOMBB_647938656_pname P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_pname_bool Q R)))))
% 0.46/0.91  (assume a373 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.cOMBS_568398431l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_p393069232l_bool P R) (tptp.hAPP_pname_bool Q R)))))
% 0.46/0.91  (assume a374 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool P R) Q))))
% 0.46/0.91  (assume a375 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBK_1857069011e_bool P) Q) P))))
% 0.46/0.91  (assume a376 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_pname P) (= (tptp.hAPP_f1297739591_pname (tptp.cOMBK_948730864e_bool P) Q) P))))
% 0.46/0.91  (assume a377 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun_pname_bool P) (= (tptp.hAPP_p61793385e_bool (tptp.cOMBK_37193422_pname P) Q) P))))
% 0.46/0.91  (assume a378 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_H78829294e_bool (tptp.hAPP_H1049623551e_bool tptp.fequal1111551311_state X) Y))) (= X Y))))
% 0.46/0.91  (assume a379 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_H78829294e_bool (tptp.hAPP_H1049623551e_bool tptp.fequal1111551311_state X) Y)))))
% 0.46/0.91  (assume a380 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_com (tptp.cOMBB_923936821_pname P Q) R) (tptp.hAPP_option_com_com P (tptp.hAPP_p799580910on_com Q R)))))
% 0.46/0.91  (assume a381 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBB_307249310e_bool P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f1664156314l_bool Q R)))))
% 0.46/0.91  (assume a382 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p393069232l_bool (tptp.cOMBB_675860798_pname P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_pname_bool Q R)))))
% 0.46/0.91  (assume a383 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBS_350070575l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f1476298914l_bool P R) (tptp.hAPP_f1664156314l_bool Q R)))))
% 0.46/0.91  (assume a384 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool P R) Q))))
% 0.46/0.91  (assume a385 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_H78829294e_bool (tptp.cOMBK_659609255_state P) Q) P))))
% 0.46/0.91  (assume a386 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_pname P) (= (tptp.hAPP_H1621176307_pname (tptp.cOMBK_168215364_state P) Q) P))))
% 0.46/0.91  (assume a387 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_p1422361149_state (tptp.cOMBK_367030522_pname P) Q) P)))
% 0.46/0.91  (assume a388 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.fequal1311889615e_bool X) Y))) (= X Y))))
% 0.46/0.91  (assume a389 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.fequal1311889615e_bool X) Y)))))
% 0.46/0.91  (assume a390 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_p1422361149_state (tptp.cOMBB_699532858_pname P Q) R) (tptp.hAPP_c1126217667_state P (tptp.hAPP_pname_com Q R)))))
% 0.46/0.91  (assume a391 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H78829294e_bool (tptp.cOMBB_2144135922_state P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_H78829294e_bool Q R)))))
% 0.46/0.91  (assume a392 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H78829294e_bool (tptp.cOMBS_458705923l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_H1187982158l_bool P R) (tptp.hAPP_H78829294e_bool Q R)))))
% 0.46/0.91  (assume a393 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1476298914l_bool (tptp.cOMBB_2095475776e_bool P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f1664156314l_bool Q R)))))
% 0.46/0.91  (assume a394 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1935102916l_bool (tptp.cOMBS_811933079l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f32027384l_bool P R) (tptp.hAPP_f1935102916l_bool Q R)))))
% 0.46/0.91  (assume a395 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool P R) Q))))
% 0.46/0.91  (assume a396 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f971112728l_bool (tptp.cOMBK_129401207e_bool P) Q) P))))
% 0.46/0.91  (assume a397 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_pname P) (= (tptp.hAPP_f560369737_pname (tptp.cOMBK_1589414042e_bool P) Q) P))))
% 0.46/0.91  (assume a398 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_f888949707_state (tptp.cOMBK_1503445380e_bool P) Q) P)))
% 0.46/0.91  (assume a399 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun_pname_bool P) (= (tptp.hAPP_H356885323e_bool (tptp.cOMBK_2035509764_state P) Q) P))))
% 0.46/0.91  (assume a400 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_p442853985e_bool (tptp.cOMBK_1706929794_pname P) Q) P)))
% 0.46/0.91  (assume a401 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f971112728l_bool (tptp.cOMBB_1522210668e_bool P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f971112728l_bool Q R)))))
% 0.46/0.91  (assume a402 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H1187982158l_bool (tptp.cOMBB_962198420_state P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_H78829294e_bool Q R)))))
% 0.46/0.91  (assume a403 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f971112728l_bool (tptp.cOMBS_2066081387l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f637090980l_bool P R) (tptp.hAPP_f971112728l_bool Q R)))))
% 0.46/0.91  (assume a404 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f32027384l_bool (tptp.cOMBB_689948150l_bool P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f1935102916l_bool Q R)))))
% 0.46/0.91  (assume a405 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool P) Q) R) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool P R) Q))))
% 0.46/0.91  (assume a406 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f166538662l_bool (tptp.cOMBK_482404831l_bool P) Q) P))))
% 0.46/0.91  (assume a407 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H78829294e_bool (tptp.hAPP_H1049623551e_bool (tptp.cOMBC_654211620e_bool P) Q) R) (tptp.hAPP_H78829294e_bool (tptp.hAPP_H1049623551e_bool P R) Q))))
% 0.46/0.91  (assume a408 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f637090980l_bool (tptp.cOMBB_1585081418e_bool P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f971112728l_bool Q R)))))
% 0.46/0.91  (assume a409 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f166538662l_bool (tptp.cOMBS_1358309691l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f2143399574l_bool P R) (tptp.hAPP_f166538662l_bool Q R)))))
% 0.46/0.91  (assume a410 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_f1387463497_state (tptp.cOMBK_701929478e_bool P) Q) P)))
% 0.46/0.91  (assume a411 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_H1049623551e_bool (tptp.cOMBK_1039769424_state P) Q) P)))
% 0.46/0.91  (assume a412 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool P) Q) R) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool P R) Q))))
% 0.46/0.91  (assume a413 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_H78829294e_bool (tptp.hAPP_f98417237e_bool (tptp.cOMBC_1734175330l_bool P) Q) R) (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool P R) Q))))
% 0.46/0.91  (assume a414 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f2143399574l_bool (tptp.cOMBB_404111180l_bool P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f166538662l_bool Q R)))))
% 0.46/0.91  (assume a415 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool (tptp.cOMBC_449066458l_bool P) Q) R) (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool P R) Q))))
% 0.46/0.91  (assume a416 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f389811538l_bool (tptp.hAPP_f1759205631l_bool (tptp.cOMBC_336095980l_bool P) Q) R) (tptp.hAPP_f389811538l_bool (tptp.hAPP_f1759205631l_bool P R) Q))))
% 0.46/0.91  (assume a417 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f971112728l_bool (tptp.hAPP_f1201187855l_bool (tptp.cOMBC_1114453604l_bool P) Q) R) (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool P R) Q))))
% 0.46/0.91  (assume a418 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool (tptp.cOMBC_1691491604l_bool P) Q) R) (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool P R) Q))))
% 0.46/0.91  (assume a419 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f468958928l_bool (tptp.hAPP_f667366769l_bool (tptp.cOMBC_747715418l_bool P) Q) R) (tptp.hAPP_f468958928l_bool (tptp.hAPP_f667366769l_bool P R) Q))))
% 0.46/0.91  (assume a420 (tptp.hBOOL tptp.hoare_165779456gleton))
% 0.46/0.91  (assume a421 (tptp.hBOOL tptp.wT_bodies))
% 0.46/0.91  (assume a422 (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state tptp.fa)))
% 0.46/0.91  (assume a423 (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y)) tptp.fa))))
% 0.46/0.91  (assume a424 (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool tptp.fa) (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT (tptp.cOMBB_923936821_pname tptp.the_com tptp.body)) (tptp.dom_pname_com tptp.body)))))
% 0.46/0.91  (assume a425 (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y)))
% 0.46/0.91  (assume a426 (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.fa)))
% 0.46/0.91  (assume a427 (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))))
% 0.46/0.91  (assume a428 true)
% 0.46/0.91  (step t1 (cl (=> (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))) :rule implies_neg1)
% 0.46/0.91  (anchor :step t2)
% 0.46/0.91  (assume t2.a0 (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts)))))
% 0.46/0.91  (step t2.t1 (cl (or (not (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))))) :rule forall_inst :args ((:= G (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (:= G_1 tptp.bot_bo620288102e_bool) (:= Ts (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))
% 0.46/0.91  (step t2.t2 (cl (not (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) :rule or :premises (t2.t1))
% 0.46/0.91  (step t2.t3 (cl (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) :rule resolution :premises (t2.t2 t2.a0))
% 0.46/0.91  (step t2 (cl (not (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) :rule subproof :discharge (t2.a0))
% 0.46/0.91  (step t3 (cl (=> (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) :rule resolution :premises (t1 t2))
% 0.46/0.91  (step t4 (cl (=> (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) (not (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))))) :rule implies_neg2)
% 0.46/0.91  (step t5 (cl (=> (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) (=> (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))))) :rule resolution :premises (t3 t4))
% 0.46/0.91  (step t6 (cl (=> (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts)))) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))))) :rule contraction :premises (t5))
% 0.46/0.91  (step t7 (cl (not (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) :rule implies :premises (t6))
% 0.46/0.91  (step t8 (cl (not (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) :rule or_pos)
% 0.46/0.91  (step t9 (cl (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))))) :rule reordering :premises (t8))
% 0.46/0.91  (step t10 (cl (=> (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool)))) :rule implies_neg1)
% 0.46/0.91  (anchor :step t11)
% 0.46/0.91  (assume t11.a0 (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool))))
% 0.46/0.91  (step t11.t1 (cl (or (not (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool)))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool)))) :rule forall_inst :args ((:= G (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body)))))
% 0.46/0.91  (step t11.t2 (cl (not (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool)))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) :rule or :premises (t11.t1))
% 0.46/0.91  (step t11.t3 (cl (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) :rule resolution :premises (t11.t2 t11.a0))
% 0.46/0.91  (step t11 (cl (not (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool)))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) :rule subproof :discharge (t11.a0))
% 0.46/0.91  (step t12 (cl (=> (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) :rule resolution :premises (t10 t11))
% 0.46/0.91  (step t13 (cl (=> (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool)))) :rule implies_neg2)
% 0.46/0.91  (step t14 (cl (=> (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (=> (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool)))) :rule resolution :premises (t12 t13))
% 0.46/0.91  (step t15 (cl (=> (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool)))) :rule contraction :premises (t14))
% 0.46/0.91  (step t16 (cl (not (forall ((G $$unsorted)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) tptp.bot_bo620288102e_bool)))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) :rule implies :premises (t15))
% 0.46/0.91  (step t17 (cl (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) :rule resolution :premises (t16 a53))
% 0.46/0.91  (step t18 (cl (not (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) :rule or_pos)
% 0.46/0.91  (step t19 (cl (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))) (not (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))))) :rule reordering :premises (t18))
% 0.46/0.91  (step t20 (cl (not (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y)))) (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y))) :rule or_pos)
% 0.46/0.91  (step t21 (cl (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y)) (not (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y))))) :rule reordering :premises (t20))
% 0.46/0.91  (step t22 (cl (=> (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y)))) (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2))))) :rule implies_neg1)
% 0.46/0.91  (anchor :step t23)
% 0.46/0.91  (assume t23.a0 (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2)))))
% 0.46/0.91  (step t23.t1 (cl (or (not (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2))))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y))))) :rule forall_inst :args ((:= Pn tptp.pn) (:= B_2 tptp.y)))
% 0.46/0.91  (step t23.t2 (cl (not (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2))))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y)))) :rule or :premises (t23.t1))
% 0.46/0.91  (step t23.t3 (cl (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y)))) :rule resolution :premises (t23.t2 t23.a0))
% 0.46/0.91  (step t23 (cl (not (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2))))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y)))) :rule subproof :discharge (t23.a0))
% 0.46/0.91  (step t24 (cl (=> (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y)))) :rule resolution :premises (t22 t23))
% 0.46/0.91  (step t25 (cl (=> (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y)))) (not (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y))))) :rule implies_neg2)
% 0.46/0.91  (step t26 (cl (=> (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y)))) (=> (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y))))) :rule resolution :premises (t24 t25))
% 0.46/0.91  (step t27 (cl (=> (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2)))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y))))) :rule contraction :premises (t26))
% 0.46/0.91  (step t28 (cl (not (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2))))) (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y)))) :rule implies :premises (t27))
% 0.46/0.91  (step t29 (cl (not (= (forall ((Pn $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2)) (tptp.hBOOL (tptp.wt B_2))))) (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2))))))) (not (forall ((Pn $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2)) (tptp.hBOOL (tptp.wt B_2)))))) (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2)))))) :rule equiv_pos2)
% 0.46/0.91  (step t30 (cl (= (forall ((Pn $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2)) (tptp.hBOOL (tptp.wt B_2))))) (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (tptp.hBOOL tptp.wT_bodies)) (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2)))))) :rule all_simplify)
% 0.46/0.91  (step t31 (cl (= (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (tptp.hBOOL tptp.wT_bodies)) (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2)))) (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2))))))) :rule all_simplify)
% 0.46/0.91  (step t32 (cl (= (forall ((Pn $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL tptp.wT_bodies) (=> (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2)) (tptp.hBOOL (tptp.wt B_2))))) (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2))))))) :rule trans :premises (t30 t31))
% 0.46/0.91  (step t33 (cl (or (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2)))))) :rule resolution :premises (t29 t32 a341))
% 0.46/0.91  (step t34 (cl (not (tptp.hBOOL tptp.wT_bodies)) (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2))))) :rule or :premises (t33))
% 0.46/0.91  (step t35 (cl (forall ((Pn $$unsorted) (B_2 $$unsorted)) (or (not (= (tptp.hAPP_p799580910on_com tptp.body Pn) (tptp.some_com B_2))) (tptp.hBOOL (tptp.wt B_2))))) :rule resolution :premises (t34 a421))
% 0.46/0.91  (step t36 (cl (or (not (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) (tptp.hBOOL (tptp.wt tptp.y)))) :rule resolution :premises (t28 t35))
% 0.46/0.91  (step t37 (cl (tptp.hBOOL (tptp.wt tptp.y))) :rule resolution :premises (t21 a425 t36))
% 0.46/0.91  (step t38 (cl (=> (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))) (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool)))))) :rule implies_neg1)
% 0.46/0.91  (anchor :step t39)
% 0.46/0.91  (assume t39.a0 (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))))
% 0.46/0.91  (step t39.t1 (cl (or (not (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool)))))) (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))))) :rule forall_inst :args ((:= C_1 tptp.y)))
% 0.46/0.91  (step t39.t2 (cl (not (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool)))))) (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) :rule or :premises (t39.t1))
% 0.46/0.91  (step t39.t3 (cl (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) :rule resolution :premises (t39.t2 t39.a0))
% 0.46/0.91  (step t39 (cl (not (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool)))))) (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) :rule subproof :discharge (t39.a0))
% 0.46/0.91  (step t40 (cl (=> (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))) (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) :rule resolution :premises (t38 t39))
% 0.46/0.91  (step t41 (cl (=> (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))) (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) (not (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))))) :rule implies_neg2)
% 0.46/0.91  (step t42 (cl (=> (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))) (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) (=> (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))) (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))))) :rule resolution :premises (t40 t41))
% 0.46/0.91  (step t43 (cl (=> (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))) (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))))) :rule contraction :premises (t42))
% 0.46/0.91  (step t44 (cl (not (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool)))))) (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) :rule implies :premises (t43))
% 0.46/0.91  (step t45 (cl (not (= (forall ((C_1 $$unsorted)) (=> (tptp.hBOOL tptp.hoare_165779456gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.wt C_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))))) (or (not (tptp.hBOOL tptp.hoare_165779456gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool)))))))) (not (forall ((C_1 $$unsorted)) (=> (tptp.hBOOL tptp.hoare_165779456gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.wt C_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool)))))))) (or (not (tptp.hBOOL tptp.hoare_165779456gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))))) :rule equiv_pos2)
% 0.46/0.91  (step t46 (cl (= (forall ((C_1 $$unsorted)) (=> (tptp.hBOOL tptp.hoare_165779456gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.wt C_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))))) (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL tptp.hoare_165779456gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))))) :rule all_simplify)
% 0.46/0.91  (step t47 (cl (= (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL tptp.hoare_165779456gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))) (or (not (tptp.hBOOL tptp.hoare_165779456gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool)))))))) :rule all_simplify)
% 0.46/0.91  (step t48 (cl (= (forall ((C_1 $$unsorted)) (=> (tptp.hBOOL tptp.hoare_165779456gleton) (=> (tptp.hBOOL tptp.wT_bodies) (=> (tptp.hBOOL (tptp.wt C_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))))) (or (not (tptp.hBOOL tptp.hoare_165779456gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool)))))))) :rule trans :premises (t46 t47))
% 0.46/0.91  (step t49 (cl (or (not (tptp.hBOOL tptp.hoare_165779456gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool))))))) :rule resolution :premises (t45 t48 a156))
% 0.46/0.91  (step t50 (cl (not (tptp.hBOOL tptp.hoare_165779456gleton)) (not (tptp.hBOOL tptp.wT_bodies)) (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool)))))) :rule or :premises (t49))
% 0.46/0.91  (step t51 (cl (forall ((C_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.wt C_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT C_1) tptp.bot_bo620288102e_bool)))))) :rule resolution :premises (t50 a420 a421))
% 0.46/0.91  (step t52 (cl (or (not (tptp.hBOOL (tptp.wt tptp.y))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool))))) :rule resolution :premises (t44 t51))
% 0.46/0.91  (step t53 (cl (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) :rule resolution :premises (t19 t37 t52))
% 0.46/0.91  (step t54 (cl (not (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) (tptp.dom_pname_com tptp.body))) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y) tptp.bot_bo620288102e_bool)))))) :rule resolution :premises (t9 a427 t17 t53))
% 0.46/0.91  (step t55 (cl (not (= (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))) (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts)))))) (not (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts)))))) (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))) :rule equiv_pos2)
% 0.46/0.91  (step t56 (cl (= (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))) (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts)))))) :rule all_simplify)
% 0.46/0.91  (step t57 (cl (forall ((G $$unsorted) (G_1 $$unsorted) (Ts $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G_1) Ts))) (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) G_1))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state G) Ts))))) :rule resolution :premises (t55 t56 a57))
% 0.46/0.91  (step t58 (cl) :rule resolution :premises (t7 t54 t57))
% 0.46/0.91  
% 0.46/0.91  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.NYFjFlNY9K/cvc5---1.0.5_6032.smt2
% 0.46/0.91  % cvc5---1.0.5 exiting
% 0.46/0.91  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------